Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

8551.

Choose the right definition for the given term ‘Philology’. (a) The humanistic study of language and literature (b) The study of phylogenetic trees (c) The study of cell and its structure (d) The study of the physical world

Answer»

(a) The humanistic study of language and literature

8552.

Chandragupta Maurya was__. (a) A benevolent despot (b) Autocrat (c) Democrat (d) A pious ruler

Answer»

Chandragupta Maurya was a benevolent despot.

8553.

Who was the Greek ambassador in the court of Chandragupta Maurya? (a) Megasthanes (b) Seleucos (c) Menander(d) Demetrias

Answer»

(a) Megasthanes

8554.

The reverential title of 'The Liberator' had been earned by (a) Alexander (b) Chandragupta Maurya (c) Ashoka (d) Chandragupta Vikramaditya

Answer»

The reverential title of 'The Liberator' had been earned by Ashoka.

8555.

When Alexander invaded India, Taxila was ruled by (a) Ambhi (b) Porus (c) Ashoka (d) Bimbisara 

Answer»

When Alexander invaded India, Taxila was ruled  Ambhi.

8556.

Choose the right definition for the given term “etymology”. (a) A person perceived to be either uncivilized or primitive (b) A study about the history and origin of a word (c) The hutnanistic study of language and literature (d) The belief that all events in life are predetermined and inevitable

Answer»

(b) A study about the history and origin of a word

8557.

Choose the right definition for the given term ‘Etymology’. (a) A study about the history and origin of a rocks(b) A study about the history and origin of a word (c) A study about the world beyond our galaxy (d) A study of evolution

Answer»

(b) A study about the history and origin of a word

8558.

The original Buddhist religious texts had been written in (a) Brahmi (b) Sanskrit (c) Pali(d) Magadhi

Answer»

The original Buddhist religious texts had been written in Pali.

8559.

Ashoka has been particularly Influenced by the Buddhist monk (a) Ambhi (b) Upagupta (c) Asvaghosha (d) Vasubandhu

Answer»

Ashoka has been particularly Influenced by the Buddhist monk Upagupta.

8560.

The Monk whom Chandragupta Maurya accompanied to South India was _______. (a) Asvaghosa (b) Vasumitra (c) Upagupta (d) Bhadrabahu

Answer»

(d) Bhadrabahu

8561.

The Buddha (a) rejected the theory of Karma (b) was non-committal on the theory of Karma (c) believed in the theory of Karma (d) suggested an alternative to the theory of Karma

Answer»

(c) believed in the theory of Karm

8562.

The fourth Buddhist council had compiled an encyclopaedia of Buddhist philosophy, called (a) Sutralankara (b) Madhyamika Sutra (c) Jatakas (d) Mahavibhasha Sutra

Answer»

(d) Mahavibhasha Sutra

8563.

The proceedings of the Third Buddhist Council led to the issue of Edict? (a) Sanchi (b) Sarnath (c) Bhabra (d) Kalinga

Answer»

The proceedings of the Third Buddhist Council led to the issue of Edic Sarnath.

8564.

The Buddhist Doctrines were written in (a) Sanskrit (b) Pali (c) Tibetan (d) Not written in any language but orally transmitted

Answer»

The Buddhist Doctrines were written in Pali.

8565.

Ashoka was much influenced by Buddhist monk called (a) Upagupta (b) Vasubandhu (c) Ambhi (d) Asvagosha

Answer»

Ashoka was much influenced by Buddhist monk called Upagupta.

8566.

The first Buddhist Council was held at (a) Lumbini (b) Kapilavastu (c) Rajagriha (d) Avanti

Answer»

The first Buddhist Council was held at Rajagriha.

8567.

Who among the following presided over the Buddhist council held during the reign of Kanishka at Kashmir? (a) Parsva(b) Vasumitra (c) Nagarjuna (d) Sudraka

Answer»

(b) Vasumitra

8568.

If Vinay had run at a speed of 2 km/h faster, he would have taken 10 minutes less to cover 4 km, find the speed of Vinay?A. 7 km/hB. 5 km/hC. 4 km/hD. 6 km/h1. D2. B3. C4. A

Answer» Correct Answer - Option 1 : D

Given:

Distance = 4 km

Formula used:

Distance = {(Speed1 × Speed2)/(Speed1 - Speed2)} × time difference

Calculation:

Let the speed be 'S'.

Distance

⇒ Distance = {[S × (S + 2)]/2} × (10/60)

⇒ 4 = {[S × (S + 2)]/2} × (10/60)

⇒ S2 + 2S = 48

⇒ S = 6, -8

Speed can never be negative

⇒ S = 6 km/h

∴ The speed is 6 km/h.

8569.

The Buddhist sect Mahayana formally came into existence during the reign of (a) Ajatashatru (b) Ashoka (c) Dharmapala (d) Kanishka

Answer»

(d) Kanishka

8570.

This momastery is an important centre of the Kagyupa sect which traces its Buddhist teachings to Tilopa (988-1089). Located near Gangtok in Sikkim, name the monastery

Answer»

Correct Answer is Rumtek

8571.

The cost price of an article A is 20% more than that of B. A is sold for Rs. 1,800 at a loss of 20% and B is sold such that there is a profit of 20% on both A and B together. The selling price of B is:1.    Rs. 3,1502.    Rs. 2,9803.    Rs. 3,1204.    Rs. 2,940

Answer» Correct Answer - Option 1 :    Rs. 3,150

Given:

The cost price of the article A is 20% more than that of B.

 A is sold for Rs. 1,800 at a loss of 20%

Calculation:

Let cost price of B be Rs.a.

Cost price of A = Rs.120a/100

 A is sold for Rs. 1,800 at a loss of 20%

⇒ Cost price of A is 1800 × 100/80

Accordingly,

120a/100 = 1800 × 100/80

⇒ a = Rs.1875

Cost price of A = 1875 × 120/100 = Rs.2250

Total cost price of A and B = 2250 + 1875 = Rs.4125

Total selling price = 4125 × 120/100 = Rs.4950

∴ Selling price of B = 4950 - 1800 = Rs.3150

8572.

Vinayak wants to sell a PS4. He loses 10% if he sells it for Rs. 36,000 and he wants to gain 15%, So at what price should he sell it to gain 15%?1. Rs. 69,0002. Rs. 46,0003. Rs. 50,0004. Rs. 48,000

Answer» Correct Answer - Option 2 : Rs. 46,000

Given:

Selling price = Rs. 36,000

Loss % = 10%

Profit % = 15%

Formula used:

S.P. = C.P. × (100 – L%)/100

S.P. = C.P. × (100 + P%)/100

Where

S.P. → Selling price

CP → Cost price

L% → Loss %

P% ⇒ Profit %

Calculations:

S.P. = C.P. × (100 – L%)/100

So, CP = (SP × 100)/(100 – L%)

The cost price = (36000 × 100)/(100 – 10) = 36000 × (100/90)

⇒ CP = 40000

For 15% profit

S.P. = C.P. × (100 + P%)/100

⇒ S.P. = 40000 × (100 + 15)/100 = Rs. 46,000

∴ The required selling price of the product is Rs. 46,000.

8573.

A fruit vendor bought bananas @ Rs. 5 for 6 and sold 4 bananas for Rs. 3. What is his percentage of profit or loss?1. 10% loss2. 10% profit3. 8% loss4. 8% profit

Answer» Correct Answer - Option 1 : 10% loss

Given:

Fruit vendor bought bananas at the rate of 6 bananas for Rs. 5 and sold them at the rate of 4 bananas for Rs. 3

Formula used:

Loss percent = (Loss/CP) × 100

Calculation:

Number of bananas bought = LCM of (6 and 4) = 24

C.P = (5/6​) × 24 = Rs. 20

S.P = (3/4) × 24 = Rs. 18

Loss = 20 – 18 = Rs. 2

Loss percent = (2/20) × 100 = 10%

8574.

Suresh loses 15% when he sells his computer for Rs. 17,000. If he sells it for Rs. 20,448, then his loss/profit percentage is:1.    Loss: 1.12%2.    Profit: 1.12%3.    Profit: 2.24%4.    Loss: 2.24%

Answer» Correct Answer - Option 3 :    Profit: 2.24%

Given:

Selling price = Rs.17000

Loss % = 17%

Formula:

Selling price = cost price × (100 - loss %)/100

Calculation:

Cost price = 17000 × 100/85 = Rs.20000

∴ Profit percentage = (20448 - 20000)/20000 × 100 = 2.24%

 

8575.

Find two rational numbers between -2/3 and 1/4

Answer»

The rational no between 2/3 and 1/4 are 4/12 , 5/12 , 6/12 , 7/12 .

8576.

A seller sells a book for Rs. 24 and loses 20% of the cost. What would be the profit or loss if he sells for Rs. 27? 1. Loss Rs. 12. Profit Rs. 43. Loss Rs. 3 4. Profit Rs. 6

Answer» Correct Answer - Option 3 : Loss Rs. 3 

Given:

 

The selling price of a book = Rs. 24

Loss = 20% of the price of a book

New selling price of a book = Rs. 27

Formula used:

Gain or loss percent = (Loss or gain/Cost price) × 100

Concept used:

Profit = Selling Price – Cost Price

Loss = Cost Price – Selling Price

Calculation:

Let the cost price of a book is Rs.x 

Loss = 20% of the price of a book

Loss = 20% of x = x/5

selling price of a book = x - x/5 = 4/5x

According to question

⇒  4/5x  =  Rs. 24

⇒  x  =  Rs. 30

New selling price of a book = Rs. 27

∴  Loss = 30 -27 = Rs. 3 

8577.

M, N and O started a business with capital ₹ 10000, ₹ 12000 and ₹ 15000 respectively. At the end of 1 year the loss share is ₹ 74000, what is the loss share of M?1. ₹ 200002. ₹ 250003. ₹ 150004. ₹ 300005. ₹ 12000

Answer» Correct Answer - Option 1 : ₹ 20000

Given:

Investment of M = ₹ 10000

Investment of N = ₹ 12000

Investment of O = ₹ 15000

Time of investment = 1 year

Concept used:

Loss = Investment × Time period

Calculation:

Loss ratio = 10000 : 12000 : 15000

⇒ Loss ratio = 10 : 12 : 15

Total Loss = (10 + 12 + 15) = 74000

⇒ 37 = 74000

Loss share of M = (74000/37) × 10

⇒ 20000

∴ The loss share of M is ₹ 20000.

8578.

In each of the following number series, the wrong number is given, find out that number.1, 0.5, 0.5, 1, 4, 28, 5121. 0.52. 43. 5124. 285. None of the above

Answer» Correct Answer - Option 4 : 28

Calculation

The series follows following pattern

1 × 0.5 = 0.5

0.5 × 1 = 0.5

0.5 × 2 = 1

1 × 4 = 4

4 × 8 = 32

32 × 16 = 512

∴ The wrong number of the series is 28
8579.

What will come in place of question mark (?) in the following number series?22, 23, ?, 36, 52, 771. 282. 263. 254. 275. None of these

Answer» Correct Answer - Option 4 : 27

Calculation:

The series follows the following pattern

22 + 12 = 23

23 + 22 = 27

27 + 32 = 36

36 + 42 = 52

52 + 52 = 77

∴ The missing number is 27.
8580.

Arrange in descending order:1.1, 1.21. 1.01, 1.1201. 1.21 > 1.120 > 1.1 > 1.012. 1.1 > 1.21 > 1.01 > 1.1203. 1.10 > 1.21 > 1.01 > 1.1204. 1.01 > 1.120 > 1.21 > 1.10

Answer» Correct Answer - Option 1 : 1.21 > 1.120 > 1.1 > 1.01

Tenth place of 1.21 is greatest among all.

The tenth place of 1.1 and 1.120 is the same but the hundredth place is 2 of 1.120. so, 1.120 is greater between 1.1 and 1.120

So, the smallest among all is 1.01

1.21 > 1.120 > 1.1 > 1.01
8581.

Number \([ - \frac{{11}}{{20}},\;\frac{7}{{ - 15}},\;\frac{{17}}{{ - 30}}\;and - \frac{3}{{10}}]\) are written in descending order as1. \(\frac{{17}}{{ - 30}}\; > \; - \frac{{11}}{{20}}\; > \; - \frac{3}{{10}}\; > \;\frac{7}{{ - 15}}\)2. \( - \frac{3}{{10}}\; > \;\frac{7}{{ - 15}}\; > \; - \frac{{11}}{{20}}\; > \;\frac{{17}}{{ - 30}}\)3. \( - \frac{3}{{10}}\; > \; - \frac{{11}}{{20}}\; > \;\frac{7}{{ - 15}}\; > \;\frac{{17}}{{ - 30}}\)4. \( - \frac{{11}}{{20}}\; > \;\frac{{17}}{{ - 30}}\; > \; - \frac{3}{{10}}\; > \;\frac{7}{{ - 15}}\)

Answer» Correct Answer - Option 2 : \( - \frac{3}{{10}}\; > \;\frac{7}{{ - 15}}\; > \; - \frac{{11}}{{20}}\; > \;\frac{{17}}{{ - 30}}\)

Concept:

First, find the LCM (Lowest Common Factor) of the given fraction.

Then arranged it according to the given question.

Given:

\([ - \frac{{11}}{{20}},\;\frac{7}{{ - 15}},\;\frac{{17}}{{ - 30}}\;and - \frac{3}{{10}}]\)

Calculation:

LMC of the (20, 15, 30, 10) = 60

Multiply each fraction with the LCM i.e. 60

⇒ - 11/20 × 60 = - 33

⇒ - 7/15 × 60 = - 28

⇒ - 17/30 × 60 = - 34

⇒ - 3/10 × 60 = - 18

After arrange in decreasing order (descending order), We find that

\( - \frac{3}{{10}}\; > \;\frac{7}{{ - 15}}\; > \; - \frac{{11}}{{20}}\; > \;\frac{{17}}{{ - 30}}\)

8582.

Which is the correct descending order of the given numbers?1. 2/9, 2/7, 2/5, 3/7,3/52. 3/5, 3/7, 2/5, 2/7, 2/93. 3/7, 3/5, 2/7, 2/5, 2/94. 3/5, 2/7, 2/9, 3/7, 2/5

Answer» Correct Answer - Option 2 : 3/5, 3/7, 2/5, 2/7, 2/9

Given:

2/9, 2/7, 2/5, 3/7,3/5

Calculation:

Here,

2/9 = 0.22,

2/7 = 0.28,

2/5 = 0.40,

3/7 = 0.42, 

3/5 = 0.60

In descending order

⇒ 0.60, 0.42, 0.40, 0.28, 0.22

⇒ 3/5, 3/7, 2/5, 2/7, 2/9

∴ The correct descending order is 3/5, 3/7, 2/5, 2/7, 2/9.

8583.

In each of the following number series, the wrong number is given, find out that number.5, 7, 11, 19, 36, 671. 362. 113. 674. 55. 19

Answer» Correct Answer - Option 1 : 36

Given:

The number series:

5, 7, 11, 19, 36, 67

Concept Used:

Number series following a fixed pattern.

Calculation;

The given number series follows the pattern:

5 + 21 = 7

7 + 22 = 11

11 + 23 = 19

19 + 24 = 35

35 + 25 = 67

The Wrong Number in the given number series is 36

8584.

A and B can complete the work in 6 days while A and C can complete the work in 10 days. A, B and C together can complete the work in 5 days. Find the time in which B alone can complete the work.1. 10 days2. 16 days3. 20 days4. 15 days5. 30 days

Answer» Correct Answer - Option 1 : 10 days

Given:

Time taken by A and B to complete the work = 6 days

Time taken by A and C to complete the work = 10 days

Time taken by A, B and C to complete the work = 5 days

Calculation:

⇒ 1/A  + 1/B  = 1/6

⇒ 1/A + 1/C = 1/10

⇒ 1/A + 1/B + 1/C = 1/5

⇒ 2/A + 1/B + 1/C = 4/15

Solving,

A = 15, B = 1/10 and C = 1/30

∴ B alone can complete the work in 10 days

8585.

In the following number series, a wrong number is given. Find out that wrong number.7 9 16 25 41 68 107 173 (a) 107 (b) 16 (c) 41 (d) 68 (e) 25

Answer»

(d) The series is based on the following pattern :
7 + 9 = 16
9 + 16 = 25
16 + 25 = 41
25 + 41 = 66; 68
41 + 66 = 107
66 + 107 = 173
Clearly, 68 should be replaced by 66

8586.

 In the following number series, a wrong number is given. Find out that wrong number.10 15 24 35 54 75 100

Answer»

The series is as follows
+ 5, +9, + 13, +17 ....difference of two consecutive terms (9 – 5 = 13 – 9 = 17 – 13) is 4.
Hence, 35 is wrong number in the series. It should be 37.

8587.

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.Dharmendra will complete the work in how many days if the ratio of efficiencies of Raghav, Dharmendra and Anmol is 5 ∶ 6 ∶ 10?I.Binod is 50% more efficient than Dharmendra. Binod, Dharmendra and Simran completed the work in 60/13 days.II. Simran, Raghav and Anmol completed the work in 180/39 days.1.If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.2.If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.4. If the data even in both the statements I and II together are not sufficient to answer the question.5.If the data in both statements I and II together are needed to answer the question.

Answer» Correct Answer - Option 4 : If the data even in both the statements I and II together are not sufficient to answer the question.

The ratio of efficiencies of Raghav, Dharmendra and Anmol is 5 ∶ 6 ∶ 10

∴ Ratio of time taken by them to complete the job = 6 ∶ 5 ∶ 3      ----(LCM of 5,6 and 10 = 30)

Let time taken by Raghav, Dharmendra and Anmol be 6x, 5x and 3x days

Using statement I

Binod is 50% more efficient than Dharmendra

⇒ Time taken by Binod = 5x × (100/150) = 10x/3

⇒ Time taken by Simran be y 

Binod, Dharmendra and Simran completed the work in 60/13 days

⇒ (3/10x) + (1/5x) + (1/y) = 13/60

⇒ 1/y = (13/60) – (5/10x)      ----(i)

Statement I alone is not sufficient to answer the question 

Using statement II

Simran, Raghav and Anmol completed the work in 180/39 days

⇒ (1/y) + (1/6x) + (1/3x) = 39/180

⇒ 1/y = (39/180) – (3/6x)      ----(ii)

Statement II alone is not sufficient to answer the question 

Using statement I and statement II together 

Equating (i) and (ii)

⇒ (13/60) – (1/2x) = (39/180) – (1/2x)

∴ Value of x cannot be determined

∴ The data even in both statements I and II together are not sufficient to answer the question.

8588.

What should come in place of the question mark '?' in the following number series?10000, 3000, 1800, 1620, ?1. 15602. 7903. 14604. 19445. None of these

Answer» Correct Answer - Option 4 : 1944

Calculation:

The logic behind the given series is as follows:

10,000 × (3/10) = 3000

3,000 × (6/10) = 1800

1,800 × (9/10) = 1620

1620 × (12/10) = 1,944

∴ The value of '?' is 1,944.

8589.

In the following number series, a wrong number is given. Find out that wrong number.16 4 2 1.5 1.75 1.875 (a) 1.875 (b) 1.75 (c) 1.5 (d) 2 (e) 4

Answer»

(b) The series is based on the following pattern:
16 × 0.25 = 4
4 × 0.50 = 2
2 × 0.75 = 1.5
1.5 × 1.00 = 1.5 ; not 1.75
1.5 × 1.25 = 1.875
Clearly, 1.75 should be replaced by 1.5.

8590.

Find the wrong number in the given series:12 24 72 372 2520 277201. 277202. 723. 244. 3725. 2520

Answer» Correct Answer - Option 4 : 372

12

12 × 2 = 24

24 × 3 = 72

72 × 5 = 360

360 × 7 = 2520

2520 × 11 = 27720

⇒ Multiplication of Prime number.

∴ The correct answer is option 4.

8591.

Ragini and Raghav can make a carpet respectively in 3 days and 12 days more than the time taken if both of them worked together. In how many days can Ragini alone make the carpet.1. 72. 103. 94. 18

Answer» Correct Answer - Option 3 : 9

Given:

Time taken by Ragini alone = 3 days more than both of them worked together

Time taken by Raghav alone = 12 days more than both of them worked together

Calculation:

Let the time both of them took to make the carpet be x.

Time taken by Ragini alone = x + 3

Time taken by Raghav alone = x + 12

∴ one day of work when they both work together = Sum of their individual per day work

⇒ 1/x = 1/(x + 12) + 1/(x + 3)

⇒ 1/x = (2x + 15)/(x2 + 15x + 36)

⇒ x2 + 15x + 36 = 2x2 + 15x

⇒ x = 6

∴ time taken by Ragini alone = 6 + 3

⇒ 9 days

Ragini alone make the carpet in 9 days.

8592.

What should come in place of the question mark (?) in the following number series.4 16 36 64 100 ? (a) 120 (b) 180 (c) 136 (d) 144 (e) None of these

Answer»

(d) The series is as follows
(2)2, (4)2, (6)2, (8)2, (10)2, (12)2
Hence, ? = (12)2 = 144

8593.

What should come in place of the question mark (?) in the following number series.12 6.5 7.5 12.75 27.5 71.25 ? (a) 225.75 (b) 216.75 (c) 209.75 (d) 236.75 (e) 249.75

Answer» (b) The given number series is based on the following pattern:
12 × 0.5 + 0.5 = 6.5
6.5 × 1 + 1 = 7.5
7.5 × 1.5 + 1.5 = 12.75
12.75 × 2 + 2 = 27.5
27.5 × 2.5 + 2.5 = 71.25
? = 71.25 × 3 + 3
= 213.75 + 3 = 216.75
Hence, 216.75 will replace the question mark.
8594.

What should come in place of the question mark (?) in the following number series.12 14 32 102 416 2090 ? (a) 15522 (b) 12552 (c) 13525 (d) 17552 (e) None of these

Answer»

(b) The series is as follows
×1 + 2, ×2 + 4, ×3 + 6, ×4 + 8, × 5 + 10, × 6 + 12...
Hence, ? = 2090 × 6 + 12 = 12552

8595.

Find the wrong number in the given series:10, 9, 13, 12, 20, -51. -52. 93. 134. 105. 12

Answer» Correct Answer - Option 5 : 12

10

10 – 12 = 9

9 + 22 = 13

13 – 32 = 4

4 + 42 = 20

20 – 52 = -5

∴ The correct answer is option 5.

8596.

In each of the following number series, the wrong number is given, find out that number.1, 2, 9, 4, 25, 6, 481. 22. 253. 484. 65. None of the above

Answer» Correct Answer - Option 3 : 48

Calculation

The series follows following pattern

There are two pattern series i.e., alternate series

1st pattern

12 = 1

32 = 9

52 = 25

72 = 49

2nd pattern

2, 4, 6, …

∴ wrong number of the series is 48
8597.

The ratio of volumes of 3 containers is 3 ∶ 4 ∶ 5. All the three containers are full of a mixture of milk and water. The ratio of milk and water is 4 ∶ 1, 3 ∶ 1, and 3 ∶ 2 in the three containers respectively. If the liquid of all three containers is poured in the 4th container, then find the ratio of milk and water.1. 3 ∶ 72. 7 ∶ 33. 6 ∶ 54. 7 ∶ 4

Answer» Correct Answer - Option 2 : 7 ∶ 3

Given:

Ratio of volume of three containers = 3 ∶ 4 ∶ 5

Ratio of milk and water in container 1 = 4 ∶ 1

Ratio of milk and water in container 2 = 3 ∶ 1

Ratio of milk and water in container 3 = 3 ∶ 2

Calculation:

First we have to make the sum of ratios equal

Ratio of milk and water in container 1 = 4/1 = (4 × 4)/(1 × 4) = 16/4

Ratio of milk and water in container 2 = 3/1 = (3 × 5)/(1 × 5) = 15/5

Ratio of milk and water in container 3 = 3/2 = (3 × 4)/(2 × 4) = 12/8

As they are mixed in the ratio 3 ∶ 4 ∶ 5

Milk = 16 × 3 + 15 × 4 + 12 × 5 = 168

Water = 3 × 4 + 5 × 4 + 8 × 5 = 72

Ratio of milk to water = 168 ∶ 72 = 7 ∶ 3

∴ Ratio of milk and water is 7 ∶ 3

8598.

In each of the following number series, the wrong number is given, find out that number.2, 4, 12, 48, 200, 14401. 42. 123. 484. 2005. 1440

Answer» Correct Answer - Option 4 : 200

Calculation:

The given number series follows this pattern:

2 × 1 = 2

2 × 2 = 4

4 × 3 = 12

12 × 4 = 48

48 × 5 = 240

240 × 6 = 1440

∴ The wrong number in the given series is 200.

8599.

What should come in place of the question mark (?) in the following number series.1 3 24 360 8640 302400 ? (a) 14525100 (b) 154152000 (c) 14515200 (d) 15425100 (e) None of these

Answer»

(c) The series is as follows
×3, ×8, × 15, ×24, ×35, ×48
Hence, ? = 302400 × 48
= 14515200

8600.

Count the numbers that can be formed by the digits 0, 3, 4 and 8 which is divisible by 5. The number must range between 100 to 100000 (both inclusive) and digits can be repeated.1. 1422. 2043. 2734. 117

Answer» Correct Answer - Option 4 : 117

Concept:

  • The ways of arranging n different things = n!
  • The ways of arranging n things, having r same things and rest all are different = \(\rm n!\over r!\)
  • The no. of ways of arranging the n arranged thing and m arranged things together = n! × m!
  • The number of ways for selecting r from a group of n (n > r) = nCr 


Calculation:

For a number to be divisible by 5 only if the number end with 0 or 5, here the case is 0, hence the unit digit has to be 0.

Now, remaining are 3 digits 3, 4 and 8

If the number is between (101 and 999), the ways = 3× 1 = 9

If the number is between (1000 and 9999), the ways = 3× 1 = 27

If the number is between (10000 and 99999), the ways = 3× 1 = 81 

∴ Total number of ways = 9 + 27 + 81

Total number = 117