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4001.

Read the following excerpt carefully and answer any three questions :A prayer to AgniHere are two verses from the Rigveda invoking Agni , the God of Fire:Bring, O strong one, this sacrifice of ours to the Gods, O wise one, as a liberal giver. Bestow on us, O priest, abundant food. Agni, obtain, by sacrificing, mighty wealth for us. Pro-cure, O Agni, for ever to him who pays to you (the gift of) nourishment the wonderful cow. May a son be ours, offspring that continues our line ... Verses such as these were composed in a special kind of Sanskrit, known as Vedic Sanskrit. They were taught orally to men belonging to priestly families. (a) Vedic Sanskrit is considered to be important because (i) It was the language of common people (ii) The Vedic verses were written in Sanskrit (iii) Sanskrit was not spoken by Brahmins (iv) Sanskrit was the major language of South India. (b) Why were sacrifices performed during the Vedic Period? (i) For the birth of daughters (ii) For the birth of sons (iii) For spiritual satisfaction (iv) For seeking the blessings of Buddha(c) Choose the correct option. Assertion(A) :Agni was the God of Fire in the Vedic tradition.Reason(R) :Therefore offerings were made to agni so that in form of smoke they would reach the Gods living in the sky and invoke their blessings (i) Both A and R are correct and R is the correct explanation of A. (ii) Both A and R are correct but R is not the correct explanation of A. (iii) A is incorrect but R is correct. (iv) R is incorrect but A is correct. (d) Consider the following statements : (a) Rig Veda consists of hymns in praise of Agni, Indra, Soma etc (b) Many of these hymns were chanted when sacrifices were performed. Choose the correct option: (i) Only (a) is correct (ii) Only (b) is correct. (iii) Both (a) and (b) are correct. (iv) Neither (a) nor (b) is correct

Answer»

(a) ii- Vedic hymns were created in Vedic Sanskrit

(b) ii- for the birth of sons

(c) i - A is correct and R is the correct reason. Agni was considered to be the messenger God, hence offerings were made to Agni.

(d) iii- both a and b are correct

4002.

Why did the British fortify their trade settlement in Calcutta?

Answer»

SIRAJ-UD-DAULAH ORDERED THE BRITISH TO PAY TAXE'S TO HIM LIKE ALL ORHER INDIAN MERCHANT'S. THE BRITISH REFUSED TO DO SO. THIS ANGERED THE YOUNG NAWAB. IN ARTICIPATION OF A WAR WITH THE FRENCH, WHO HAD A TRADING SETTLEMENT  IN CHANDEMAGORE. FROM THEN THE BRITISH STARTED TO FORTIFY CALCUTTA.. 

THANK YOU..

Siraj-ud-Daulah ordered the British to pay taxes to him like all other Indian merchants. The British refused to do so. This angered the young nawab. In anticipation of a war with the French, who had a trading settlement in Chandemagore, the British began to fortify Calcutta.

4003.

A convex lens of focal length `f` produces a virtual image `n` times the size of the object. Then the distance of the object from the lens isA. `nf`B. `(f)/(n)`C. `((n+1)f)/(n)`D. `(n-1)f`

Answer» Correct Answer - C
`(v)/(u)=n`
4004.

When a convex lens of refactive index `3//2` and focal length `20 cm` is dropped into water of refracticve index `4//3`. Its focal length in water isA. `20`B. `40cm`C. `80cm`D. `10cm`

Answer» Correct Answer - C
`(f_(liq))/(f_(air))=((mu_(g)-1)mu_(l))/((mu_(g)-mu_(l))`
4005.

An object is placed at a distance of `f//2` from a convex lens. The image will beA. at `(3f)/(2)`, real and invertedB. at, `2f`, virtual and erectC. at, `2f`, real and invertedD. at one of the focii, virtual, erect and double the size.

Answer» Correct Answer - D
`(1)/(u)-(1)/(v)=(1)/(f)` and `m=(v)/(u)`
4006.

Which of the following is/are correct regarding Sufi traditions?A) Sufis sought an interpretation of the Qur’an on the basis of their personal experienceB) Sufis maintained austerity while maintaining absolute isolation from political power and the state.C) A teaching master enrolled disciples and also established rules for spiritual conduct among the Sufis.Select the correct answer using the code given below1. Only A2. B and C3. A and C4. A, B, C

Answer» Correct Answer - Option 3 : A and C
The Correct answer is A and C.
Sufism-
  • It is a form of Islamic mysticism that emphasizes introspection and spiritual closeness with God.
  • In the early centuries of Islam, a group of religious-minded people called Sufis turned to asceticism and mysticism in protest against the growing materialism of the Caliphate as a religious and political institution.
  • They were critical of the dogmatic definitions and scholastic methods of interpreting the Qur‘an and Sunnah (traditions of the Prophet) adopted by theologians.
  • Instead, they laid emphasis on seeking salvation through intense devotion and love for God by following His commands, and by following the example of the Prophet Muhammad whom they regarded as a perfect human being.
  • The Sufis thus sought an interpretation of the Quran on the basis of their personal experience. Hence statement A is correct.
  • By the eleventh century, Sufism evolved into a well-developed movement with a body of literature on Quranic studies and Sufi practices.
  • Institutionally, the Sufis began to organize communities around the hospice or Khanqah (Persian) controlled by a teaching master known as shaikh (in Arabic), Pir or Murid (in Persian). He enrolled disciples (murids) and appointed a successor (khalifa).
  • He established rules for spiritual conduct and interaction between inmates as well as between laypersons and the master. Hence statement C is correct.
 
Relation with the political establishment-
  • A major feature of the Sufi tradition was austerity, including maintaining a distance from worldly power. However, this was by no means a situation of absolute isolation from political power.
  • The Sufis accepted unsolicited grants and donations from the political elites. The Sultans, in turn, set up charitable trusts as endowments for hospices and granted tax-free land (Inam). Hence the statement B is not correct.
  • The Chishtis accepted donations in cash and kind.
  • Other Sufis such as the Suhrawardi under the Delhi Sultans and the Naqshbandi under the Mughals were also associated with the state. However, the modes of their association were not the same as those of the Chishtis.
  • In some cases, Sufis accepted courtly offices.
4007.

Two trains of same length are running on parallel tracks in the same direction at 56 km/h and 44 km/h, respectively. The faster train passes the other train in 63 seconds. What is the length (in m) of each train?1. 1252. 1503. 1054. 110

Answer» Correct Answer - Option 3 : 105

Given:

Two trains of same length are running on parallel tracks in the same direction at 56 km/h and 44 km/h, respectively. The faster train passes the other train in 63 seconds.

Concept used:

Time and Distance 

Calculation

Two trains of same length are running on parallel tracks in the same direction at 56 km/h and 44 km/h, respectively.

Two trains are running in the same direction

Relative speed = 56 km/hr - 44 km/hr

Relative speed = 12 km/hr

Converting the relative speed in m/sec

⇒ \(12 × \frac{5}{{18}} = \frac{{10}}{3} \ m/\sec \)

Time = 63 sec (Given)

Distance = Speed × Time 

Distance = \(63 \times \frac{{10}}{3} = 210\ m\)

Length of each train = \(\frac{{210}}{2} = 105\ m\)

4008.

Rakesh does half of the work in 30 days and Sanny does remaining work in 7.5 days. In how many days the work will be completed by them if they work together? 1. 12 days2. 13 days3. 15 days4. 20 days5. 14 days

Answer» Correct Answer - Option 1 : 12 days

Given:

Rakesh does half of a work in 30 days

Remaining work done by Sanny = (1 – 1/2)

⇒ (2 – 1)/2

⇒ 1/2 of the work in 7.5 days

Concept used:

If a person does a work in ‘n’ days, then one day work will be 1/n part of total work.

Total time taken for one work = the number of days/part of the work

Calculation:

One work done by Rakesh = 30/(1/2)

⇒ 60 days

Then one day work by Rakesh = 1/60 part of total work

One work done by Sanny = 7.5/(1/2)

⇒ 15 days

Then one day work by Sanny = 1/15 part of total work

Now, the one day work by Rakesh and Sanny = one day work by Rakesh + one day work by Sanny

⇒ 1/60 + 1/15

⇒ (1 + 4)/60

⇒ 5/60

⇒ 1/12

Then, time taken to complete one work by both Rakesh and Sanny = 12 days

∴ The work done by both when work together in 12 days  
4009.

A container having pure milk, 30% is replaced by water and the process is repeated three times. At the end of the third operation, what will be the intensity of milk?1. 34%2. 35%3. 38%4.34.3%5. 36%

Answer» Correct Answer - Option 4 :

34.3%


Given:

Percentage of water replaced after three process = 30%

Formula used:

Quantity of milk left = a{1 – (b/a)}n

a = Initial quantity

b = Replaced quantity

n = Number of repetition

Calculation:

Let the initial quantity of milk be 100 l

⇒ Quantity of milk replaced with water = (30/100) × 100 = 30 l

n = 3

Quantity of milk left = 100{1 – (30/100)}3

⇒ Quantity of milk left = 100{(10 – 3)/10}3

⇒ Quantity of milk left = 100 × (7/10) × (7/10) × (7/10)

⇒ Quantity of milk left = 34.3%

∴ The intensity of milk after third operation is 34.3%  

4010.

Three Pipes P, Q, and R together can fill an empty cistern in 10 min. The pipe P alone can fill the cistern in 30 min and pipe Q alone can fill it in 40 min. How long will pipe R alone will take to fill it?1. 24 min2. 26 min3. 25 min4. 22 min

Answer» Correct Answer - Option 1 : 24 min

Given:

Pipe P alone can fill the cistern in 30 min

Pipe Q alone can fill the cistern in 40 min

Pipes P, Q, and R can fill it in 10 min

Concept Used:

Total work is LCM of work done by each pipe.

Calculation:

Part filled by (P + Q + R) in 1 min = 1 / 10

Part filled by P in 1 min = 1 / 30

Part filled by Q in 1 min = 1/40

Part filled by (P + Q) = 1 / 30 + 1 / 40

⇒ 7 / 120

Part filled by R = 1 / 10 – 7 / 120

⇒ (12 - 7) / 120

⇒ 5 / 120

⇒ 1 / 24

∴ Pipe C will take 24 min to fill the tank alone.
4011.

In a laboratory, A container has pure acid. From this container, 10 L of acid was taken out and replaced by water. The process was further repeated thrice. The volume of acid in the container at the end, if the container had 100 L of the pure acid initially, is1. 58.23 L2. 63.23 L3. 78.32 L4. 65.61 L5. 72.93 L

Answer» Correct Answer - Option 4 : 65.61 L

Given:

Total acid = 100 L

Taken out acid and replaced by water = 10 L

Repeated process = 4 times

Concept Used:

The final volume of acid = Total acid[1 - (Taken out and replaced/Total acid)]n times repeated

n = Number of repeated process

Calculation:

The volume of remaining acid = Total acid[1 - (Taken out and replaced/Total acid)]n times repeated

The volume of remaining acid = 100(1 - 10/100)4

⇒ 100(1 - 1/10)4

⇒ (100 × 9 × 9 × 9 × 9)/(10 × 10 × 10 × 10)

⇒ 6561/100

⇒ 65.61 L

∴ The volume of remaining milk is 65.61 L

4012.

Two pipes A and B can fill a 1 / 4th filled cistern in 15 and 20 minutes respectively while pipe C can empty that exact 1 / 4th filled cistern in 10 minutes. Find the time required to fill the cistern if all three pipes are open when the cistern itself is empty.1. 20 minutes2. 16 minutes3. 18 minutes4. 24 minutes5. 12 minutes

Answer» Correct Answer - Option 2 : 16 minutes

Given:

Pipe A and B can fill (1-1 / 4) = 3 / 4th of the cistern in 15 and 20 minutes respectively.

Pipe C can empty 1 / 4th of the cistern in 10 minutes.

Formula used:

Total volume = time × rate of resultant water inlet

Calculations:

Let us assume the total volume of the cistern = 4 × LCM of (15, 20, 10) = 240 lit.

A and B can fill 3 / 4th i.e. (240 × 3 / 4) = 180 lit. in 15 and 20 minutes respectively.

C can empty 1 / 4th i.e. (240 × 1 / 4) = 60 lit in 10 minutes.

Inlet capacity for A = 180 / 15 = 12 lit / min

Inlet capacity for B = 180 / 20 = 9 lit / min

Outlet capacity for C = 60 / 10 = 6 lit / min

If three pipes are open at the same time, rate of resultant inlet = (12 + 9 - 6) = 15 lit / min

Time required to fill the completely empty cistern = 240 / 15 = 16 min
4013.

Pipes X and Y are the filling pipes while Z is an empty pipe. X, Y can fill the given empty tank In 45 and 54 minutes respectively. However, pipe Z can empty in 90 minutes. If all the pipes are opened Together for 10 minutes after that pipe is A and B is blocked and Now, only pipe Z is opened. Find the total time taken by pipe Z to empty the filled tank?1. 70/32. 80/33. 73/34. 70/4

Answer» Correct Answer - Option 2 : 80/3

Given:

X, Y can fill the given empty tank In 45 and 54 minutes respectively.

Pipe Z can empty in 90 minutes.

After 10 minutes X, Y are blocked and only pipe Z is opened.

Concept used:

Efficiency = (Total work)/(Time taken)

Calculation:

Let us take the LCM of the time of the three pipes i.e.

LCM of (45, 54, 90) minutes = 270 unit.

Let the Capacity of the tank is 270 units.

⇒ Efficiency of X = (270/45) = + 6 units

⇒ Efficiency of Y = (270/54) = + 5 units

⇒ Efficiency of Z = (270/90) = - 3 units

(∵ X, Y are filling pipes so their efficiency is positive and as Z is an empty Pipe its efficiency is negative)

Pipes X, Y, Z are all opened for 10 minutes,

⇒ Work done by all in 10 minutes = (+ 6 + 5 – 3) × 10 = 80 units      -----(1)

∴ Time Taken by Z to Empty 80 units of tank is (80/3) minutes.

4014.

Pipe A can fill a cistern in 15 minutes Pipe B can fill it in 9 minutes. With the help of pipe C, all the pipes can fill a cistern in 5 minutes. D, with the help of C filled the cistern in 15 minutes. Find the time required by pipe D and B to fill a half-filled tank?1. 302. 45/73. 45/144. 20

Answer» Correct Answer - Option 3 : 45/14

Given:

Pipe A can fill a cistern in 15 minutes Pipe B can fill it in 9 minutes. With the help of pipe C, all the pipes can fill a cistern in 5 minutes. D, with the help of C filled the cistern in 15 minutes.

Formula:

If the time taken by pipes P1, P2,..Pn to fill a tank is p1, p2, ...pn and the time taken by pipes Q1, Q2, ..., Qn to empty it be q1, q2,..., qn respectively and the total time taken by all the pipes to fill the tank is t.

1/t = (1/p1 + 1/p2 + ... + 1/pn) – (1/q1 + 1/q2 + ... + 1/qn)

Efficiency is inversely proportional to time taken for doing work.

Total work = Efficiency × time

Calculation:

Let the time taken by pipes C and D to fill the cistern be c and d respectively.

In 1 minute pipe A fill = 1/15 part

In 1 minute pipe B fill = 1/9 part

In 1 minute pipe C fill = 1/c part

In 1 minute pipe D fill = 1/d part

In 1 minute pipe (A + B + C) fill = 1/5 part

In 1 minute pipe (C + D) fill = 1/15 part

According to question

1/a + 1/b + 1/c = 1/5

⇒ 1/c = (1/5) – (1/15) – (1/9)

⇒ 1/c = (9 - 3 - 5)/45

⇒ 1/c = 1/45

⇒ c = 45 minutes

Thus, C can fill the tank in 45 minutes.

C and D can fill the tank in 15 minutes, then

1/c + 1/d = 1/15

⇒ 1/d = (1/15) – (1/45)

⇒ 1/d = (3 - 1)/45 = 2/45

Thus, d can fill the tank in 22.5 minutes.

Now, let the time required by B and D to fill full tank be t.

1/b + 1/d = 1/t

⇒ 1/9 + 1/(45/2) = 1/t

⇒ 1/t = 1/9 + 2/45 = 7/45

⇒ t = 45/7

B and D can fill the full tank in 45/7 minutes.

∴ They will fill half tank in 45/14 minutes. 

4015.

The efficiency of pipe B filling a tank is double than that of A. Find the ratio of the amount of water in the tank filled by A and B if pipe A is opened for three times more time than B. 1. 2 : 12. 5 : 13. 6 : 74. 6 : 5

Answer» Correct Answer - Option 1 : 2 : 1

Given:

The efficiency of pipe B filling a tank is double than that of A.

FORMULA:

If efficiency is double, the time taken to do a work will be half.

Efficiency is inversely proportional to time taken for doing work.

Total work = Efficiency × time

CALCULATION:

From the question

The efficiency of B = 2 × efficiency of A

Let In 1 hour A fill 1 unit in a tank, then

In 1 hour B will fill 2 units.

Now, let pipe B is opened for x hours then, pipe A is opened for 4x hours.

In x hours B will fill = 2 × x = 2x unit

In 4x hours A will fill = 1 × 4x = 4x unit

∴ The ratio of water in tank by A and B = 4x/2x = 2 : 1

4016.

The question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question.A certain liter mixture contains milk and water in the ratio 7 : 5 respectively. The milkman sold 36 liters of the mixture. Find the quantity of milk in the initial mixture.Statement I: If sham adds 15 liters of pure milk and 5 liters of water to the remaining mixture, ratio of milk and water in the final mixture becomes 5 : 3 respectively.Statement II: If sham sold 24 liters of the remaining mixture and adds 3 liters of water to the remaining mixture, ratio of milk and water in the final mixture becomes 7 : 6 respectively. 1. if the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.2. if the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.3. if either the statement I alone or statement II alone is sufficient to answer the question.4. if you cannot get the answer from the statement I and II together, but need even more data.5. None of the above

Answer» Correct Answer - Option 3 : if either the statement I alone or statement II alone is sufficient to answer the question.

Let, initial quantity of mixture be y liters.

Quantity of milk in the initial mixture = 7y/12

Quantity of water in the initial mixture = 5y/12

Quantity of milk in the remaining mixture = 7y/12 – 7/12 × 36 = 7y/12 – 21

Quantity of water on the remaining mixture = 5y/12 – 5/12 × 36 = 5y/12 – 15

From I:

(7y/12 – 21 + 15)/(5y/12 – 15 + 5) = 5/3

⇒ (7y/12 – 6)/(5y/12 – 10) = 5/3

⇒ 3 × (7y/12 – 6) = 5 × (5y/12 – 10)

⇒ 7y/4 – 18 = 25y/12 – 50

⇒ 25y/12 – 7y/4 = 50- 18

⇒ (25y – 21y)/12 = 32

⇒ 4y/12 = 32

⇒ y/3 = 32

⇒ y = 96 liters

Quantity of milk in the initial mixture = 7/12 × 96 = 56 liters.

From II:

(7y/12 – 21 – 7/12 × 24)/(5y/12 – 15 – 5/12 × 24 + 3) = 7/6

⇒ (7y/12 – 21 – 14)/(5y/12 – 15 10 + 3) = 7/6

⇒ (7y/12 – 35)/(5y/12 – 22) = 7/6

⇒ 6 × (7y/12 – 35) = 7 × (5y/12 – 22)

⇒ 42y/12 – 210 = 35y/12 – 154

⇒ 7y/12 = 56

⇒ y = 56 × 12/7

⇒ y = 96 liters

Quantity of milk in the initial mixture = 7/12 × 96 = 56 liters.

Hence, either the statement I alone or statement II alone is sufficient to answer the question.

4017.

What is the total number of employees in the company?Which of the following option is sufficient alone to find the answer?A) In the company, employees like either tea or coffee or cold drink. Out of the total employees, 25% like tea and 40% like coffee. Out of remaining employees, 20% like cold drink and remaining employees don’t like any of these drinks.B) Out of total employees 18% working in the marketing departments, 35% working in IT departments. From the remaining employees 25% working in HR departments and 45% working in content departments and remaining 141 are working in other departments.C) Employees working in the company is form state X, Y and Z. 20% of employees working in the company is from state X and from remaining 60% employees is from state Z and the remaining employees is from the state Y.D) 60% of the employees in the company are married and remaining employees are unmarried. The ratio of male and female unmarried employees is 4 : 5 and ratio of married male and female employees is 3 : 4.1. Only A and B2. Only B 3. Only A, B and C4. All A, B, C and D5. None of A, B, C and D

Answer» Correct Answer - Option 2 : Only B 

Let total number of employees in the company is Q.

From a :

Number of employees who like coffee = 0.4Q

Number of employees who like tea = 0.25Q

Number of employees who like cold drink = 0.35 × 0.2Q

From data we cannot find out the answer.

From b :

Number of employees working in marketing determent = 0.18Q

Number of employees working in IT determent = 0.35Q

Number of employees working in HR determent = 0.47 × 0.25Q = 0.1175

Number of employees working in content determent = 0.47 × 0.45Q = 0.2115Q

Remaining working in the other department = 141

⇒ Q – (0.18 + 0.35 + 0.1175 + 0.2115)Q = 141

⇒ 0.141Q = 141

⇒ Q = 1000

Hence, option b is sufficient.

From C :

Employees from state X = 0.2Q

Employees from state X = 0.8 × 0.6Q = 0.48Q

So, remaining from state Y.

But from this information, we cannot find the answer.

From D :

Married employees = 0.6Q and unmarried employees = 0.4Q

The ratio of male to female unmarried employees is 4 : 5 and ratio of married male and female employees is 3 : 4.

But from this information, we cannot find the answer.

4018.

Question below consists of a question and three statements numbers I, II and III given below it. You have to decide whether the data provided in the statements is sufficient to answer the question.Find the total number of apple that a men, a women and a child together receives, if total of 114 apple have been distributed among 37 people consisting of men, women and children?I. The total apple given to men, women and children are in the ratio 10 : 5 : 4.II. A man got double the number of apple than that of a child got.III. The number of apple received by each men, women and child are in the ratio 4 : 3 : 2.1. All I, II and III together are not sufficient.2. Only I and III together are sufficient.3. Only I and II together are sufficient.4. Either I and II together or I and III together are sufficient.5. None of the above

Answer» Correct Answer - Option 2 : Only I and III together are sufficient.

From I and II:

Total apple given to men = 114 × 10/(10 + 5 + 4) = 60

Total apple given to women = 114 × 5/(10 + 5 + 4) = 30

Total apple given to children = 114 × 4/(10 + 5 + 4) = 24

From II : Let apple received by 1 child is ‘a’ and that of by 1 men = ‘2a’ respectively.

Hence, statements I and II together are not sufficient.

From I and III:

Total apple given to men = 114 × 10/(10 + 5 + 4) = 60

Total apple given to women = 114 × 5/(10 + 5 + 4) = 30

Total apple given to children = 114 × 4/(10 + 5 + 4) = 24

Let apple received by 1 men, 1 women and 1 child is 4b, 3b and 2b respectively.

Ratio of men, women and child = 60/4b : 30/3b : 24/2b = 15 : 10 : 12

So men = 37 × 15/(15 + 10 + 12) = 15, women = 37 × 10/(15 + 10 + 12) = 10 and children = 37 × 12/(15 + 10 + 12) = 12

Number of apple each men, women and child together receive = 60/15 + 30/10 + 24/12 = 9

Hence statement I and III together are sufficient.

4019.

Bhaumik and Kandarp are two brothers. Bhaumik is 5 years older than Mahima and ratio of the age of Kandarp to Mahima is 3 : 5.Quantity I: What is age of Bhaumik if Kandarp’s age will be 25 in 7 years?Quantity II: Age of Mahima. 1. Quantity I > Quantity II2. Quantity I ≥ Quantity II3. Quantity I < Quantity II4. Quantity I ≤ Quantity II5. Quantity I = Quantity II

Answer» Correct Answer - Option 1 : Quantity I > Quantity II

Given:

Kandarp : Mahima = 3 : 5

Kandarp’s age after 7 years = 25 years

Bhaumik = 5 + Mahima’s age

Calculation:

Kandarp’s current age = 25 – 7

⇒ Kandarp’s current age = 18 years

⇒ Kandarp : Mahima = 3 : 5

⇒ Mahima’s age = 5 × 18/3

⇒ Mahima’s age = 30 years

Bhaumik’s age = 5 + 30

⇒ Bhaumik’s age = 35 years

Quantity I: 35 years

Quantity II: 30 years

Quantity I > Quantity II

4020.

Sum of ages of Ajay, Bharti and Dhruv is 10 years more than the sum of ages of Bharti, Dhruv and Tara. Chaten is 6 year older then Bharti and 2 years younger than Dhruv. What is the ratio of present age of Ajay and Chaten?Which of the following option is sufficient alone to find the answer?A) Age of Chaten after 13 years will be 35 years.B) Sum of present age of Bharti, Chaten and Dhruv is 47 years.C) Sum of present age of Ajay, Tara and Chaten is 48 years.D) Sum of present age of Bharti and Dhruv is 24 years and Ajay and Chaten is 30 years.E) Average of recent age of Ajay and Bharti is 2 more than the average of age of Bharti and Dhruv.1. Only A and B2. Only B and C3. Only D4. All A, B, C and D5. None of A, B, C and D

Answer» Correct Answer - Option 3 : Only D

From option (1):

Ajay + Bharti + Dhruv = Bharti + Dhruv + Tara + 10

Ajay = Tara + 10

Bharti = Chaten – 6

Dhruv = Chaten + 2

From option (1) :

Chaten = 35 – 13 = 22 years

Present age of Tara is not given. So, present age of ajay cannot be determined and also ratio of present ages of Ajay and chetan cannot be determined.

Hence, this option is not sufficient alone.

From option (2):

Bharti + Chaten + Dhruv = 47

Chaten – 6 + Chaten + Chaten + 2 = 47

Chaten = 17 years

Present age of Ajay is not given. So, ratio of present ages of Ajay and Chaten cannot be determine.

Hence, this option is not sufficient alone

From option (3):

Ajay + Tara + Chaten = 48

Ajay + Ajay – 10 + Chaten = 48

2Ajay + Chaten = 58

Given data is not sufficient to find the answer.

Hence, this option is not sufficient alone.

From option (4):

Bharti + Dhruv = 24

Chaten – 6 + Chaten + 2 = 24

Chaten = 14 years

Ajay + Chaten = 30

Ajay = 30 – 14 = 16 years

Ratio, Ajay : Chaten = 16 : 14 = 8 : 7

From option (5) :

(Ajay + Bharti)/2 = 2 + (Bharti + Dhruv)/2

Ajay = 4 + Dhruv

Ajay = 4 + Chaten + 2

Ajay = Chaten + 6

Given data is not sufficient to find the answer.

Hence, this option is not sufficient alone.

4021.

In how many days Amit and montu together can complete the work?Which of the following option is sufficient alone to find the answer?1. Efficiency of Amit, Vikas and Montu is in the ratio of 2 : 3 : 4 and they all together can complete the work in 24 days.2. Efficiency of Amit and Akash is in the ratio of 3 : 2 and Amit, Akash and Montu together can complete the work in 8 days3. Amit alone can complete the work in 15 days and Sonu and Montu together complete the work in 10 days.4. Efficiency of Amit and Montu is 2 : 3 and Montu and Akash together can complete the work in half of the time taken by Amit alone.5. None of the given option is sufficient to find the answer.

Answer» Correct Answer - Option 1 : Efficiency of Amit, Vikas and Montu is in the ratio of 2 : 3 : 4 and they all together can complete the work in 24 days.

From A:

Ratio of time taken by Amit, Vikas and Montu = ½ : 1/3 : ¼ = 6 : 4 : 3

So, 1/6z + 1/4z + 1/3z = 1/24

⇒ (2 + 3 + 4)/12z = 1/24

⇒ z = 18

So, Amit and Montu together can complete the work in = 1/(1/6z + 1/3z) = 1/3/6z = 2z = 36 days.

Hence, option a alone is sufficient.

From B :

Amit and Akash can complete the work in 2z and 3z days respectively.

And Amit, Akash and Montu together can complete the work in 8 days

From this information we cannot find the answer.

From C:

Amit alone can complete the work in 15 days.

Sonu and Montu together complete the work in 10 days.

But here Montu alone complete the work in how many days is not given.

From this information we cannot find the answer.

From D:

Efficiency of Amit and Montu is 2 : 3

Let Amit and Montu can complete the work in 3z and 2z days respectively.

And Montu and Sonu together can complete the work in half of the time taken by Amit alone.

From this information, we cannot find the answer.

4022.

What is the ratio of the volume of a cuboid to the volume of a cube?Statement I. The ratio of the height, breadth, and length of the cuboid is 1 : 2 : 3 and the total surface area of the cuboid is 352 cm2.Statement II. The total surface area of the cube is given to be 384 cm2.Statement III. The length of the cuboid is 3 times the height of the cuboid and 1.5 times the breadth of the cuboid. The difference between the length and the height of the cuboid is 8 cm.1.The data in statement I alone is sufficient to answer the question, while the data in statement II and III alone are not sufficient to answer the question.2. The data in statement II alone is sufficient to answer the question, while the data in statement I and III alone are not sufficient to answer the question.3. The data in statement I and II or in statement II and III is sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5. The data in all statements I, II, and III together are necessary to answer the question.

Answer» Correct Answer - Option 3 : The data in statement I and II or in statement II and III is sufficient to answer the question.

Calculation:

For Statement I:

Total Surface area of cuboid = 2 (lb + bh + hl)

Let Length be 3x, breadth = 2x, height = x

⇒ 352 = 2 (3x × 2x + 2x × x + x × 3x)

⇒ 176 = (6x2 + 2x2 + 3x2)

⇒ 176 = 11x2

⇒ x2 = 16

⇒ x = 4

∴ Length = 12, Breadth = 8, Height = 4

∴ Volume = lbh

⇒ 12 × 8 × 4

⇒ 384 cm3

Statement I alone is not sufficient to answer the question.

For statement II:

Total Surface Area of Cube = 6s2

⇒ 384 = 6s2

⇒ s2 = 64

⇒ s = 8

∴ Volume of the cube = s3

⇒ 83

⇒ 512cm3

Statement II alone is not sufficient to answer the question.

For Statement III:

Height of the cuboid = x cm

Length = 3x

Breadth = 2x

∴ Difference = 3x – x

⇒ 8 = 2x

⇒ x = 4

∴ Length = 12, Breadth = 8, Height = 4

∴ Volume = lbh

⇒ 12 × 8 × 4

⇒ 384 cm3

Statement III alone is not sufficient to answer the question.

But we can solve the question by either Statement I and II or statement II and III.

4023.

If Rati travels at his usual speed for ‘x’ hours, he covers the same distance as he covered when he travels at a speed 30 km/hr less than usual, but for (x + 3) hours. Which of the following can be determined?(A) If he travels at 20 km/hr less speed than usual, he can cover a distance of 240 km in (x - 1) hours. What is the value of ‘x’?(B) If travels at his usual speed for (t + 2) hours, and at 50% of his usual speed for (t - 2) hours, his average speed for the journey is 68 km/hr. What is his usual speed?(C) His usual speed (in km/hr) is a multiple of 5 between 40 and 50 (both inclusive). If ‘x’ is a whole number, what is his usual speed?(D) If he travels at his usual speed for ‘t’ hours, he covers a distance of 400 km. What is the value of ‘x’?1. Only A, B and D2. All A, B, C and D3. Only B and D4. Only A and D5. Only B and C

Answer» Correct Answer - Option 1 : Only A, B and D

Let the usual speed of Rati be ‘x’ km/hr

So, x × t = (x – 30) × (t + 3)

xt = xt + 3x – 30t – 90

x – 10t = 3      ----(i)

(A) : Now, (x – 20) (t – 1) = 240

xt – x – 20t + 20 = 240

xt – x – 20t = 220

(10t + 30) × t – (10t + 30) – 20t = 220

10t2 + 30t – 10t – 30 – 20t = 220

10t2 = 250

T = 5

So, the value of ‘t’ is determined.

(B) : So, total distance travelled = x(t + 2) + (x/2) × (t – 2) = (3xt/2 + x) km

Total time taken = (t + 2) + (t – 2) = 2t

So, (3xt/2 + x)/2t = 68

3t(10t + 30)/2 + (10t + 30) = 136t

15t2 + 45t + 10t + 30 = 136t

15t2 – 81t + 30 = 0

5t2 – 27t + 10 = 0

(5t – 2) (t – 5) = 0

So, t = 2/5 or 5 but t = 2/5 is not possible

For t = 5, x = 80

So, the value of ‘x’ can be determine.

(C) : Multiples of 5 between 40 and 50 are 40, 45 and 50

For x = 40, t = 1

For x = 45, t = 1.5

For x = 50, t = 2

Since, ‘t’ is a whole number, t = 1 or 2

So, the value of ‘x’ cannot be determined.

(D) : So, xt = 400

T = 400/x

Putting in (i)

x – 400/x = 30

x2 – 30x – 400 = 0

(x – 40) (x + 10) = 0

x = 40

So, the value of ‘x’ is determined.

4024.

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.Sid has a monthly income of Rs. 60000 out of which every month he saves some amount. He distributes some amount of money among his three sisters and one brother. Out of remaining amount of his income, he spends 40% on other things and rest of the amount is saved by him.What percent of money is received by each sister if each sister receives equal amount?Statement I: Each sister received Rs. 500 less than the amount received by brother and Sid’s other expenditure is Rs. 16800.Statement II: Sid saves Rs. 25200 on every month.Statement III: Each sister and brother received equal amount and saving are Rs. 25200.1. Both statement I and II2. Either statement I and III3. Statement I4. Statement II5. Statement III

Answer» Correct Answer - Option 2 : Either statement I and III

Income = Rs. 60000

Let amount received by each sister = p

Statement I:

Amount received by sid’s brother = p + 500

Other expenditure = 16800

Savings = (60/100) × (100/40) × 16800 = 25200

Now, 60000 = 3p + p + 500 + 16800 + 25200

P = Rs. 4375

Percent of money is received by each sister = (4375/60000) × 100 = 7.29%

Statement II:

Savings = Rs. 25200

Other expenditure = (40/100) × (100/60) × 25200 = Rs. 16800

60000 = 25200 + 16800 + share of three sister + share of brother

3p + share of brother = 18000

Given data is not sufficient to determine the answer.

Hence, this statement is redundant to fine the answer.

Statement III:

Savings = Rs. 25200

Other expenditure = (40/100) × (100/60) × 25200 = Rs. 16800

60000 = 25200 + 16800 + share of three sister + share of brother

4p = 18000

P = Rs. 4500

Percent of money is received by each sister = (4500/60000) × 100 = 7.5%

4025.

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.Veer has a monthly income of Rs. 60000 out of which every month he saves some amount. He distributes some amount of money among his three sister and one brother. Out of remaining amount of his income, he spends 40% on other things and rest of the amount is saved by him.Veer saves what percent of his salary on every month?Statement I: Veer’s other expenditure is Rs. 20000.Statement II: Each sister receive Rs. 4000 and brother receive Rs. 5000.Statement III: Veer saves Rs. 15000 more than the amount received by his one sister.1. Either statement I or II alone is sufficient.2. Either statement II or III alone is sufficient.3. Both statement I and II together are sufficient.4. Either statement II alone is sufficient or statement II and III together are sufficient.5. Only statement II is sufficient.

Answer» Correct Answer - Option 1 : Either statement I or II alone is sufficient.

Statement I:

Other expenditure = Rs. 20000

Savings = (60/100) × (100/40) × 20000 = Rs. 30000

Percentage = (30000/60000) × 100 = 50%

Statement II:

Share of three sister = 3 × 4000 = Rs. 12000

Share of brother = Rs. 5000

Savings = 60% of (60000 – 12000 – 5000) = Rs. 25800

Percentage = (25800/60000) × 100 = 43%

Statement III:

Savings = 15000 + share of each sister

60000 = share of three sister + share of brother + other expenditure + 15000 + share of each sister

45000 = 4 × share of each sister + share of brother + other expenditure

Given data is not sufficient to determine the answer.

Hence, this statement is not sufficient alone.

4026.

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.Find the rate of simple interest per annum.Statement I. Silky borrowed Rs. 18,000 from Nimi for 2 years on simple interest.Statement II. Silky returned Rs. 23,400 to Nimi at the end of 2 years and settled the loan.Statement III. A sum of money becomes triple in 40/3 years on simple interest.1. The data in statement I alone is sufficient to answer the question, while the data in statement II and III alone are not sufficient to answer the question.2.The data in statement II alone is sufficient to answer the question, while the data in statement I and III alone are not sufficient to answer the question.3. The data in statement I and II together or in statement III is sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5. The data in all statements I, II, and III together are necessary to answer the question.

Answer» Correct Answer - Option 3 : The data in statement I and II together or in statement III is sufficient to answer the question.

Calculation:

For Statement I:

Principal = 18,000

Interest = (P × R × T)/100

⇒ Interest = (18,000 × R × 2)/100

Statement I alone is not sufficient to answer the question.

For statement II:

Amount = 23,400

Statement II alone is not sufficient to answer the question.

But combining both the statements I and II

 Principal = 18,000, Amount = 23,400, Time = 2years

Interest = 23400 – 18000 = 5400

⇒ Interest = (18,000 × R × 2)/100

⇒ 5400 = (18000 × R × 2)/100

⇒ R = 5400/360

⇒ R = 15%

∴ Length = 12, Breadth = 8, Height = 4

∴ Volume = lbh

⇒ 12 × 8 × 4

⇒ 384 cm3

Statement I and II is sufficient to answer the question.

For statement III:

Let Principle be x, Amount = 3x, Time = 40/3 years

Interest = 3x – x = 2x

Interest = (P × R × T)/100

⇒ 2x = (x × R × 40)/300

⇒ R = 15%

Statement III alone is sufficient to answer the question.

Statement I and II together or statement III alone is sufficient.

4027.

The ratio of ages of R and S, 3 years ago was 5 : 7 and the ratio of age of T and U, 3 years from now will be 11 : 5. At present, T is 6 years older than S. The average age of R and U is 15 years.From the statement given in the above question, which of the following can be determined?(A) Present age of R (B) Present age of S (C) Present age of T (D) Present age of U1. Only S and T2. Only R and U3. Only R, S and U4. All R, S, T, U5. None of them

Answer» Correct Answer - Option 4 : All R, S, T, U

Let the present age of R, S, T and U be ‘r’, ‘s’, ‘t’ and ‘u’ years respectively.

So, (r - 3)/(s – 3) = 5/7

⇒ 5s – 15 = 7r – 21

⇒ 7r – 5s = 6      ----(i)

Also, (t + 3) / (u + 3) = 11/5

⇒ 11u + 33 = 5t + 15

⇒ 5t – 11u = 18     ----(ii)

Now, t = s + 6

Putting in (ii)

5(s + 6) – 11 u = 18

⇒ 11u – 5s = 12

⇒ 11u + 6 – 7r = 12

⇒ 11u – 7r = 6      ----(iii)

Also, (r + u)/2 = 15

⇒ r + u = 30     ----(iv)

(iii) + 7 × (iv) given,

18u = 216

⇒ u = 12

∴ r = 30 – 12 = 18

From (i),

7 × 18 – 5s = 6

⇒ 5s = 120

⇒ s = 24

∴ t = s + 6 = 24 + 6 = 30

The present ages of all of them can be determined.

4028.

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.In a family there are 5 members, Malini, Ravi, Girish, Vijay, and Rati. Find the present age of Vijay.Statement I. The total age of Malini, Rati, and Vijay are 78 years.Statement II. The average age of the 5 members is 37 years.Statement III. The present age of Vijay is 14 years more than the age of Girish.1. The data in statement I alone is sufficient to answer the question, while the data in statement II and III alone are not sufficient to answer the question.2. The data in statement II alone is sufficient to answer the question, while the data in statement I and III alone are not sufficient to answer the question.3. The data in statement I and II together or in statement III is sufficient to answer the question.4.The data in all the statements I, II, and III are not sufficient to answer the question.5. The data in all statements I, II, and III together are necessary to answer the question.

Answer» Correct Answer - Option 4 :

The data in all the statements I, II, and III are not sufficient to answer the question.


Calculation:

For Statement I:

Total age of Malini, Rati, and Vijay = 78 years

Statement I alone is not sufficient to answer the question.

For statement II:

Total age of all 5 members = 37 × 5

⇒ 185

Statement II alone is not sufficient to answer the question.

For statement III:

Let the age of Girish be x

Age of Vijay = x + 14

Interest = 3x – x = 2x

Statement III alone is not sufficient to answer the question.

Statement I, II, and III are not sufficient.

4029.

The following question is accompanied by three statements (I), (II), and (III). You have to determine which statements(s) is/are sufficient/necessary to answer the questions.Jabalpur Express leaves Jabalpur at 8:00 am for Somnath. At what time will it reach Somnath?Statement I. For the first 200 km, it travels at a speed of 250 km/h and maintains the same speed during the entire journey.Statement II. It has 10 stoppages in between Jabalpur and Somnath.Statement III. Before every stoppage, it covers the same distance of 320 km.1. Either statement I and II together or Statements I and III together is sufficient to answer the question.2. The data in statement I alone or statements II and II together is sufficient to answer the question.3. The data in statement I and II together are sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5. The data in all statements I, II, and III together are necessary to answer the question.

Answer» Correct Answer - Option 4 : The data in all the statements I, II, and III are not sufficient to answer the question.

Calculation:

From statement I:

We can conclude the speed of the train and by combining Statement II and III, we conclude the distance between Jabalpur and Somnath.

But we can not conclude how long it has stopped at each stoppage because the speed we concluded is the speed of the train not the average speed of the entire journey.

All the statements I, II, and III are not sufficient to answer the question.

4030.

What is Green Bench?1. A division of High Court that deals with cases related to environment2. A division of Ministry that deals with environment3. It is a division of Pollution Control Board4. None of the above

Answer» Correct Answer - Option 1 : A division of High Court that deals with cases related to environment

Concept:

  • The National Green Tribunal was formed on 18 October 2010.
    • The National Green Tribunal Act, 2010 is an Act of the Parliament of India which enables the creation of a special tribunal to handle the expeditious disposal of the cases pertaining to environmental issues.
    • It draws inspiration from India's constitutional provision of Article 21 Protection of life and personal liberty, which assures the citizens of India the right to a healthy environment.
    • NGT is proposed to be set up at five places of sittings and will follow circuit procedure for making itself more accessible.
    • New Delhi is the Principal Place of Sitting of the Tribunal and Bhopal, Pune, Kolkata, and Chennai shall be the other place of sitting of the Tribunal.

Explanation:

Green Bench :

  • A green bench is a judicial bench that hears and adjudicates disputes relating to the preservation of forests and the protection of the environment. 
  • The word green bench was coined by the Supreme Court in the 'Madras Tanneries' case, on August 28, 1996.
  • Green Bench was the earlier form of the National Green Tribunal.
  • The First Green bench was in Kolkata.

  • NGT Structure :
    • The Principal Bench of the NGT is in New Delhi.
    •  Each Bench has a specified geographical jurisdiction in a region
    • The Chairperson of the NGT is a retired Judge of the Supreme Court, head quartered in New Delhi.
    • On 18 October 2010, Justice Lokeshwar Singh Panta became its first Chairman.
    • Retired justice Adarsh Kumar Goel is the incumbent chairman.
    • Other Judicial members are retired Judges of High Courts.
    • Each bench of the NGT will comprise at least one Judicial Member and one Expert Member.
    • Expert members should have a professional qualification and a minimum of 15 years experience in the field of environment/forest conservation and related subjects.
  • Justice Adarsh Kumar Goel is a Chairperson of National Green Tribunal (NGT).
  • Under the NGT Act 2010, the tribunal is to have a full-time chairperson and up to 20 judicial and expert members each.
  • According to the Act, the tribunal is not supposed to have less than 10 of either.
  • It currently has four judges, including the chair, and as many experts
4031.

What is the sum of the ages of Lucky and Shanti?Statement I. The age of Lucky is 6 years more than the age of Shanti.Statement II. 40% of the age of Shanti is equal to 30% of the age of Lucky.Statement III. The ratio between half of the age of Lucky and one-third of the age of Shanti is 2 : 1.1. Either statement I and II together or Statements I and III together is sufficient to answer the question.2. The data in statement I alone or statements II and II together is sufficient to answer the question.3. The data in statement I and II together are sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5. The data in all statements I, II, and III together are necessary to answer the question.

Answer» Correct Answer - Option 1 : Either statement I and II together or Statements I and III together is sufficient to answer the question.

Calculation:

By combining statements, I and II:

We conclude the age of Lucky and the age of Shanti. So, we can find the sum as well.

Statement II and III indirectly means the same.

So, by combining I and III we can get our answer.

Statement I and II together or Statement I and III together are sufficient.
4032.

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.A dishonest shopkeeper professes to sell his articles at a cost price but uses a faulty scale while selling. What is the profit percentage the shopkeeper makes when he sells the article at a cost price?Statement I. He uses a scale that weighs less by 25%.Statement II. The cost price of the article is Rs. 30 per kg.Statement III. If he has sold the articles at a 12.5% profit on cost price then his net profit percentage would have been 50%.1. The data in statement I or III alone is sufficient to answer the question.2. The data in statement I alone is sufficient to answer the question.3. The data in statement I and II together are sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5. None of the above.

Answer» Correct Answer - Option 1 : The data in statement I or III alone is sufficient to answer the question.

Calculation:

For Statement I:

When he sells 100 units then scale weighs only 75 units.

Let CP of 1 unit = 1 then CP of 75 units = Rs. 75

SP of 75 units = Rs. 100

∴ we conclude that a profit of 33.33%. As we don’t have to find the value so CP is not necessary.

Statement I alone is sufficient to answer the question.

For statement II:

We can conclude that C.P = 30

Statement II alone is not sufficient to answer the question.

For statement III:

Let CP of 1 unit = 1

Then the SP of 100 units = 112.5% of 100 and net percentage = 50% therefore, CP = 75 it means he uses 25% less weight

As he sold his article at CP then his profit is 33.33%.

Statement III alone is sufficient to answer the question.

Statement I or III alone are sufficient.

4033.

Each of the questions below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.Find the percentage of impurity in the mixture.I. A discount vendor professes to sell his at the cost price and mixes with impurity and thereby gain 25%.II. If in 45 kg of mixture, 5/2 times quantity of impurity is equal to 150% of 2/3 of the quantity of whole mixture.III. The ratio of quantity of pure wheat in the mixture to the total quantity of the mixture in 3 : 5. (Mixture is made of pure wheat and impurity)1. Only I alone is sufficient.2. Only II alone is sufficient.3. Only III alone is sufficient.4. Either of them alone is sufficient.5. All I, II and III together is sufficient.

Answer» Correct Answer - Option 4 : Either of them alone is sufficient.

From I:

Let CP of 1 kg of pure wheat = Rs. 1

Then SP of kg of mixture = Rs. 1 and gain = 25%

CP of 1 kg of mixture = 1 × 100/125 = Rs. 4/5

Ratio of wheat to impurity = 4/5 : 1/5 = 4 : 1

Percentages impurity = 1/ (4 + 1) × 100 = 20%

Hence, statement I alone is sufficient.

From II:

Amount of mixture = 45 kg and amount of impurity is z kg.

Given –

⇒ 5/2 × z = 150% of 2/3 × 45

⇒ z = (150 × 2 × 45 × 2)/ (100 × 3 × 5)

⇒ z = 18

% impurity = 18/45 × 100 = 40%

Hence, statement II alone is sufficient.

From III:

Let total quantity of mixture = 5z and quantity of pure wheat = 3z.

Quantity of impurity in the mixture = 5z – 3z = 2z

% impurity = 2z/5z × 100 = 40%

Hence, statement III alone is sufficient.

4034.

Each of the questions below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.What is the respective speed of 2 trains, P and Q of length 175 meters and 150 meters respectively? (Speed of Q &gt; Speed of P)Statement I. They take 13 seconds to cross each other when they are running in the opposite direction.Statement II. The trains take 65 seconds to cross each other were running in the same direction.Statement III. The sum of the speed of P and Q is 25 m/sec.1. Either statement I and II together or Statement II and III together is sufficient to answer the question.2. The data in statement I alone is sufficient to answer the question.3. The data in statement I and II together are sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5. The data in all statements I, II, and III together are necessary to answer the question.

Answer» Correct Answer - Option 1 : Either statement I and II together or Statement II and III together is sufficient to answer the question.

Calculation:

Length of Train P = 175 m

Let the speed of the train be y.

Length of Train Q = 150 m

Let the speed of the train be x.

For Statement I:

325 = (x + y) × 13

⇒ x + y = 25      ----(i)

Statement I alone is not sufficient to answer the question.

For statement II: 

325 = (x - y) × 65

⇒ x - y = 5      ----(ii)

Statement II alone is not sufficient to answer the question.

But if we combine both statements I and II then we can find the Speed.

For statement III:

x + y = 25      ----(iii)

Statement III alone is not sufficient to answer the question.

But if we combine statements II and III we can find the Speed.

∴ Either statement I and II together or Statement II and III together is sufficient to answer the question.

4035.

Each of the questions below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.Ali is 3 years older than Bela who is 5 years older than Chals. The ratio of age of Dyna and Ena after two years will be 3 : 4 years. Sum of ages of Dyna, Ena, Fanny and Geet is 50 years.What is the present age of Geet?Statement I: The ratio of ages of Dyna and Fanny is 7 : 15 respectively and Ali is 18 years old.Statement II: The sum of ages of Ena and Fanny is 25 years.Statement III: The sum of ages of Dyna and Ena is 17 years and fanny is 8 years older than Dyna.1. Only statement I is sufficient alone.2. Only Statement II is sufficient alone.3. Either Statement III is sufficient alone or statement I and II together are sufficient.4. Either statement I is sufficient alone or statement II and III together are sufficient.5. All statement I, II and III together are sufficient.

Answer» Correct Answer - Option 3 : Either Statement III is sufficient alone or statement I and II together are sufficient.

Ali = 3 + Bela

Bela = 5 + Chales

(Dyna + 2) : (Ena + 2) = 3 : 4

Dyna = (3 Ena – 2)/4

Dyna + Ena + Fany + Geet = 50

7 Ena + 4 Fany + 4 Geet = 202

Statement I:

Ali = 18

Dyna : Fany = 7 : 15

Dyna = 7Fany/15

Dyna = (3Ena – 2)/4

Fany = (45Ena – 30)/28

Statement II:

Ena + Fany = 25

Statement III :

Dyna + Ena = 17

Dyna = (3Ena – 2)/4 = 17 – Ena

Ena = 10 years

Dyna = 17 – 10 = years

Fany = 8 + Dyna = 8 + 7 = 15 years

7Ena + 4Fany + 4Geet = 202

7 × 10 + 4 × 15 + 4A = 202

Geet = 18 years

From statement I and II :

Fany = (45Ena – 30)/28

Ena + Fany = 25

(45Ena – 30)/28 = 25 – Ena

Ena = 10years

Fany = 25 – 10 = 15 years

7Ena + 4Fany + 4Geet = 202

7 × 10 + 4 × 15 + 4A = 202

Geet = 18 years

Hence, either Statement III is sufficient alone or statement I and II together are sufficient.

4036.

Each of the questions below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.Find the value of x?Statement I. 4xyz + 2y + 4 – 34z = 0, z = 1Statement II. y = \(\sqrt {428 - 419} \)Statement III. xyz – 3z + 8y – 9 = 0, z = -1.1. Either statement I and II together or Statements I and III together is sufficient to answer the question.2. The data in statement I alone or statements II and II together is sufficient to answer the question.3. The data in any two of the three statements is sufficient to answer the question.4. The data in all the statements I, II, and III are not sufficient to answer the question.5.The data in all statements I, II, and III together are necessary to answer the question.

Answer» Correct Answer - Option 3 : The data in any two of the three statements is sufficient to answer the question.

Calculation:

Statement I:

4xyz + 2y + 4 – 34z = 0, z = 1

⇒ 4xy + 2y + 4 – 34 = 0

⇒ 4xy + 2y – 30 = 0

Statement II:

y = \(\sqrt {428 - 419} \)

⇒ y = 3

Statement II:

xyz – 3z + 8y – 9 = 0, z = -1.

⇒ -xy + 3 + 8y – 9 = 0

⇒ 8y – xy – 6 = 0

We will receive the value of x with the help of any two statements.

4037.

Each of the questions below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.Priya and khushi invested Rs.3000 together. Priya invested her amount at compound interest for ‘v/10’ years at v% rate interest and khushi invested half of her amount at compound interest and remaining half at simple interest at the same rate of interest for the same time period. [It is given that ‘v/10’ is a natural number]What amount is received by Khushi after ‘v/10’ years?Statement I: Value of ‘v’ can be determined by the equation : 3v2 – 55v - 100 = 0.Statement II: Priya invested Rs. 1000 less than amount invested by Khushi.Statement III: Total sum received Priya and Khushi together after ‘v/10’ years is Rs. 4280.1. Only statement I and II together are sufficient.2. Only statement I and III together are sufficient.3. Only statement II and III together are sufficient.4. Either statement I or III is sufficient alone.5. Statement I and either statement II or III together are sufficient.

Answer» Correct Answer - Option 5 : Statement I and either statement II or III together are sufficient.

Let investment of Khushi = p

Investment of priya = 3000 – p

Time = v/10 years

Tare = v%

For priya:

CI = (3000 – p) × ((1 + (v/100))(v/10) – 1)

For khushi :

CI = (p/2) × ((1 + (v/100))(v/10) – 1)

SI = (p/2) × v × (v/10)/100 = v2p/2000

statement I:

3v2 – 55v – 100 = 0

3v2 – 60v + 5v – 100 = 0

V = 20, -1.67

For Khushi :

CI = (p/2) × ((1 + (v/100))(v/10) – 1)

CI = (p/2) × ((1 + (20/100))(20/10) – 1) = 11p/50

SI = v2p/2000 = 20 × 20 × p/2000 = p/5

statement II :

3000 -p = p - 1000

p = 2000

Statement III:

4280 = (3000 – p) × ((1 + (v/100))(v/10) – 1) +

(p/2) × ((1 + (v/100))(v/10) – 1) + v2p/2000

From statement I and II :

P = 2000

SI = p/5 = 2000/5 = Rs 400

CI = 11p/50 = 11 × 2000/50 = Rs 440

Total amount received by Khushi after (v/10)

Years = 2000 + 400 + 440 = Rs 2840

Statement II and III:

p = 2000

4280 = (3000 – 2000) × ((1 + (v/100))(v/10) – 1) + (2000/2) × ((1 + (v/100))(v/10) – 1) + v2 × 2000/2000

4280 = 2000 × ((1 + (v/100))(v/10) – 1) + v2

Value of ‘v’ cannot be determined.

Hence, statement II and III together are not sufficient.

From I and III:

v = 20

For Priya :

CI = (3000 – p) × ((1 + (20/100))(20/10) – 1) = (3000 – p) × 11/25

For Khushi :

CI = 11p/50

SI = p/5

4280 - 3000 = (3000 – p) × (11/25) + (11p/50) + (p/5)

P = Rs 2000

For Khushi :

SI = p/5 = 2000/5 = Rs. 400

Total amount received by Khushi after (v/10) Years = 2000 + 400 + 440 = 2840

Hence, either statement II or III and statement I together are sufficient.

4038.

The largest cold water coral reef is found at which of the following place?1. Australia2. Pacific ocean3. Norway4. None of the above

Answer» Correct Answer - Option 3 : Norway

The correct answer is ​Norway.

  • Cold-water corals inhabit the deep cold water within the range of 39-55 degrees F.
  • According to the United Nations Environment Programme reports that there are more cold-water coral reefs worldwide than tropical reefs.
  • The largest coldwater coral reef is the Rost Reef off Norway.

  • Cold-water coral reefs. Coral reefs can not only be found in the warm, sun-drenched waters of tropical regions, they also grow in cold, dark waters within a huge geographical range between 55°S to 70°N.
  • Off the coast of Britain, cold-water coral reefs form mainly off the west of Scotland and Ireland.
4039.

Life for Hanif, in the beginning, was never a smooth sail. Explain.

Answer»

When Hanif was eight years old, he lost his father. He had to take the responsibility to look after his three younger brothers. His mother Hema aziz had a touring job and was out very often. They had to do their work for themselves. So it was not a smooth sail.

4040.

Why were the people miserable in Wangjia’s village?

Answer»

In ancient times, there was a poor area in Tibet was Wangjia’s village. The people who lived in that area suffered from hunger and cold. There was no river or water source, trees, green grass or any types of crops. No fruits, flowers or vegetables.The land was also not good. The people did not know what happiness could be. In spite of that they believed that happiness must exist somewhere in the world.

4041.

How did the bird in the garden change Satish’s life?

Answer»

One day he saw a rare bird that was flying here and there. It had long tail and black crest. It had restless energy and to flight at any moment. He was attracted by the bird and sketched the bird from his memory. He liked his sketch, and kept beside his bed on the pile of books. He had discovered his past time by filling the pages with pictures and patterns of his thinking. Like this the bird in the garden changed his life.

4042.

Who among the following is the brand ambassador of ‘Haritha Keralam’ programme?1. Mammootty2. K.J Yesudas3. Sachin Tendulkar4. Mohanlal5.

Answer» Correct Answer - Option 2 : K.J Yesudas
  • Carnatic vocalist and playback singer K J Yesudas is the brand ambassador of the project ‘Haritha Keralam’ (Green Kerala) project.
  • It was announced by State Chief Minister Pinarayi Vijayan via his official Facebook page.
  • It is a massive initiative envisaged for a garbage-free and clean state. 
  • Ponds and streamlets will be cleaned in the first phase, while rivers, lakes and other water bodies in the second phase.
4043.

Which district has Pratapgad fort is located?1. Kolhapur2. Pune3. Satara4. Ahmednagar

Answer» Correct Answer - Option 3 : Satara

The correct answer is Satara.

  • Pratapgad is located in the Satara district in the Western Indian state of Maharashtra.
  • Pratapgad literally 'Valour Fort' is a large mountain fort.
  • The fort's historical significance is due to the Battle of Pratapgad in 1659.
  • The fort is now a popular tourist destination.
  • The Maratha ruler Shivaji commissioned Moropant Trimbak Pingle, his prime minister, to undertake the construction of this fort in order to defend the banks of the Nira and the Koyna rivers and to defend the Par pass.
  • The Battle of Pratapgad between Shivaji and Afzal Khan was fought below the ramparts of this fort on 10 November 1659.

  • Satara city gets its name from the seven forts (Sat-Tara) which are around the city.
  • The city is known as a Soldier's city as well as Pensioner's city.
  • Satara was the first Princely state that came under East India Company under Doctrine of Lapse in 1848.
  • The doctrine of Lapse was introduced by Dalhousie.
4044.

Which city is famous for its sheet production?1. Bhiwandi2. Ichalkaranji3. Yeola4. Solapur

Answer» Correct Answer - Option 4 : Solapur

The correct answer is Solapur.

  • Solapur is one of the important districts in the Maharashtra State of India.
  • Solapur developed as a commercial center for cotton and other agricultural produce.
  • Solapur bed-sheets have earned fame and reputation for their novel designs and durability.
  • Solapur leads Maharashtra in the production of beedi.
  • Solapuri Chadars and towels are famous not only in India but also at a global level.
  • "Solapuri chadars" are the famous and first product in Maharashtra to get a Geographical Indication tag.

Some useful information about Maharashtra:

  • Chief Minister - Uddav Thackeray 
  • Governor - Bhagat Singh Koshyari
  • Formed on - 1 May 1960
  • Districts - 36
  • National Parks of Maharashtra -Sanjay Gandhi (Borivilli) National Park, Chandoli National Park, Gugamal National Park.
  • Folk Dance of Maharashtra - Koli Dance, Lavani Dance, Povadas Dance, Tamasha, etc.
  • The highest point of Maharashtra - Kalsubai
4045.

Read the following extracts and answer the questions that follow :Tam new to Mumbai, but I have noticed that people here are afraid’.a. Who is the speaker?b. Why had the speaker come to Mumbai?c. Why were the people afraid?

Answer»

a. Baleshwar is the speaker.

b. The speaker Baleshwar came to Mumbai to hunt (seek) the job.

c. The people were afraid because if they are getting trapped in the courts or with Police.

4046.

Why does the poet’s mother asserts her right to reside in a tree?

Answer»

The poet’s mother asserts her right to reside in a tree because she loves to stay in a tree. She is fond of climbing trees even at her old age. When Grandma recover from her fall and after she became stronger she said her son that she could not lie oil the bed any longer and without hasitating she ordered that she wanted a house on the tree top to reside in that house peacefully. So her obedient son fulfilled her ambition and right.

4047.

Where in India did the first co-operative sugar factory start?1. Rahuri2. Shrirampur3. Kopargaon4. Pravaranagar (Butter)

Answer» Correct Answer - Option 4 : Pravaranagar (Butter)

The correct answer is Pravaranagar.

  • In 1945 Late Padmashree Vithalrao Vikhe Patil pioneered the first successful Co-operative Sugar Factory in the country at Pravaranagar in Ahmednagar District of Maharashtra which was commissioned in 1951.
  • The Indian National Congress in its Nagpur Session held in 1953 resolved to have the future growth of the sugar industry mainly in Co-operative Sector. 
  • Up to 1945, there were about 145 Joint Stock Sugar Factories in the country inclusive of some 12 factories in Maharashtra. 

Some useful information about Maharashtra:

  • Formed on - 1 May 1960
  • Districts - 36
  • National Parks of Maharashtra -Sanjay Gandhi (Borivilli) National Park, Chandoli National Park, Gugamal National Park.
  • Folk Dance of Maharashtra - Koli Dance, Lavani Dance, Povadas Dance, Tamasha, etc.
  • The highest point of Maharashtra - Kalsubai
4048.

Read the following extracts and answer the questions that follow :‘A frightful proposition, Swami thought’.a. What was the frightful proposition?b. Who made it?c. Why did Swami regard it as ‘a frightful proposition’?

Answer»

a. Swami can sleep alone in his father’s office room on that night was the frightful proposition, Swami thought.

b. Swami’s father made it.

c. He had always slept beside his granny and any change in this arrangement kept him trembling and awake all the night. So he regarded it as a frightful proposition.

4049.

The story is set in the days of a) Franco Prussian war (1870-71) b) Franco- German war (1870-71) c) Franco- Poland war (1880-81) d) Franco Austrian war(1880-81)

Answer»

a) Franco Prussian war (1870-71) 

4050.

Which of the following cartoonist is best known for his creation of common man?1. Shekhar Gurera2. Sudhir Tailang3. Kutty4. R.K.Laxman

Answer» Correct Answer - Option 4 : R.K.Laxman

The correct answer is R.K.Laxman.

  • R.K.Laxman is best known for his creation of a common man.

  • Rasipuram Krishnaswami Iyer Laxman was a cartoonist famous for the creation of the cartoon strip of 'The Common Man'.
  • He created it for the newspaper Times of India.
  • The Times of India was started in 1951.

  • Shekhar Gurera is an editorial cartoonist.
  • Sudhir Tailang was a cartoonist in Navbharat Times.
  • Puthukkody Kottuthody Sankaran Kutty Nair famously known as Kutty was a political cartoonist.