Explore topic-wise InterviewSolutions in .

The correct answer is Ctrl+→

• Ctrl+→ short cut is used to move the cursor one word right while editing data in a cell in MS-Excel.

•  Press CTRL+an arrow key to scroll to the start and end of each range in a column.

The correct answer is ctrl + P.

• Ctrl + P is used to print the document. 

Word shortcut keys​

• Ctrl + C -- Copy selected text.
• Ctrl + X -- Cut selected text.
• Ctrl + P -- Open the print window.
• Ctrl + Z -- Undo last action.

​

The correct answer is "=".

• MS Excel
  • It is a spreadsheet program for data analysis and documentation.
  • It contains a number of rows and columns, where the intersection of a column and a row is a "cell".
  • Each cell contains one point of data.
  • It is developed by Microsoft.
  • It features calculation, graphing tools, pivot tables, etc.
• The function of (=) sign (Starting of Formula)
  • ​All Excel formulas begin with an equals sign,=, followed by a specific tag denoting the formula.
  • For example, =B1+B2+B3 is a formula that adds up the values in the cells B1 through B3.

The correct option is c. Portrait.

The default orientation of a page in Writer is Portrait. Whenever a new word document is opened on the computer, the portrait orientation is the default orientation of the new word document. Portrait and landscape orientations are the two types of orientation modes available.

The correct answer is Print Preview.

• Print Preview option is used prior to the final printing of the required paper.

• The following options are to be used to check the print preview.
  • Step: #1 – Open the file.
  • Step: #2 – Click on the Office Button.
  • Step: #3 – Click on the Print button
  • Step: #4 – Click on the Print Preview button
  • Step: #5 – Print Preview will be displayed on the screen.
  • Step: #6- Modify the setting in page set up or any other changes if required and again review the print preview.

The correct answer is Landscape.

• The two basic types of page orientation are portrait (vertical) and landscape (horizontal).
• Most monitors have a landscape display, while most documents are printed in portrait mode.
• Page Orientation of a document can be changed by select Layout > Orientation > select portrait or landscape > Click OK.

The correct answer is One.

• While printing an MS Word document, we can set the number of copies to be printed.
• By default, we will have one copy of the document.

The correct answer is 32 bits.

•  An IP version 4 address is 32 bits long.

• An IP address (internet protocol address) is a numerical representation and is a unique identification of a specific interface on the network.
  • There are two versions of IP.
    • IPv4 addresses are 32-bits long. They are expressed in decimal.
    • IPv6 addresses are 128-bits. They are expressed in hexadecimal

The correct answer is Dotted-decimal notation.

• An IP address is often represented in the dotted-decimal format.

• An IP address (internet protocol address) is a numerical representation and is a unique identification of a specific interface on the network.
  • There are two versions of IP.
    • IPv4 addresses are 32-bits long. They are expressed in the dotted-decimal format.
    • IPv6 addresses are 128-bits. They are expressed in the dotted-hexadecimal format

The correct answer is (A) - (iv), (B) - (iii), (C) - (ii), (D) - (i).

• ​Major Canal Irrigation Projects of Rajasthan
  • Indira Gandhi Nahar Pariyojana (IGNP) started in 1958 and the irrigation facility started in 1961.
  • The area of the project spans over four districts of Rajasthan, namely - Ganganagar, Bikaner, Hanumangarh and Jaisalmer.
  • Its main aim is to assist in agricultural activities and provide drinking water, but it also envisages regional development and ecological improvement by arresting desertification.
• Chambal Valley Project
  • The Chambal Valley Project is a major multipurpose project, constructed across the river Chambal by the State of Rajasthan and Madhya Pradesh for irrigation and hydropower generation. The Project includes- Jawahar Sagar Dam Project, Rana Pratap Sagar Dam, Kota Barrage.

Correct option is A) His famous portrayal of this well known man revealed to the public not only his successes but also some of his failures.

Correct option is B) The famous pop singer Madonna, was born in Bay City, Michigan in the U.S.A

Correct option is A) When she had it published in 1818 she did so anonymously.

Correct option is D) In fact, the first day of the year was the 25th of March

The correct answer is 1, 2 and 3.

The table below is correctly matched:

• Teja Ji:
  • Born in 1074 A.D. at Khadnaal in the Nagaur district of Rajasthan.
  • Teja Ji is worshipped as Snake Diety.
  • Tejaji sacrificed his life while recovering the life of cows.
  • Hence Teja Ji is also called a protector of Cows.
  • Tejaji’s major Than are located at Sursura, Beawar, Saindaria &
    Bhanwata in Ajmer district.
  • Saindaria is supposed to place he was bitten by a snake.
•   Pabu Ji:
  • Born in 1239 A.D. at Kolu Village, Phalodi in the Jodhpur district of Rajasthan.
  • Diety associated with Camel.
  • Healer of Plague disease.
  • Bhopa community in Rajasthan, are considered to be the priest
  • singers of Pabuji.
  • The story of Pabuji is depicted through Phad.
• Veer Kalla Ji:
  • Born in Vikram Samvat 1601, Merta in the Nagaur district of Rajasthan.
  • Kallaji is famous as “Lok Devta with four hands”.
  • Temples are located at Bhauraigarh, Mahiyadham Varda, Salumbar, Samalia, Gatroad.

The correct answer is (a) - (iii), (b) - (iv), (c) - (ii), (d) - (i).

• The Islamic calendar employs the Hijri era whose epoch was established as the Islamic New Year of 622 CE.
• Ramadan is the most venerated month of the Hijri calendar.
  •  During this time, Muslims must fast from pre-dawn until sunset and should give charity to the poor and needy. 
  • The month of Ramadan is the ninth month of the Islamic calendar and the month in which the Quran was revealed to the Islamic prophet Muhammad.
  • Fasting during the month of Ramadan is one of the Five Pillars of Islam.
• Moharram is the first month of the Islamic calendar and considered to be highly religious, only coming next to Ramadan. 
  • It is regarded as a pious and important festival by the community.
  • It is one of the four sacred months of the year for Muslims.
• Milad un-Nabi is a gazetted holiday in India and is also known as Nabi Day, Mawlid, Mohammad's Birthday, or the Prophet's Birthday.

Diphenyl Ketone  show tautomerism because it contains 2-α H atom.

We have A =   \(\begin{bmatrix}-3\\5\\2\end{bmatrix}\) and B = \(\begin{bmatrix}1&6&-4\end{bmatrix}\).

⇒ A' = \(\begin{bmatrix}-3&5&2\end{bmatrix}\) and B' = \(\begin{bmatrix}1\\6\\-4\end{bmatrix}\)

Now, AB = \(\begin{bmatrix}-3\\5\\2\end{bmatrix}\)\(\begin{bmatrix}1&6&-4\end{bmatrix}\) = \(\begin{bmatrix}-3&-18&12\\5&30&-20\\2&12&-8\end{bmatrix}\).

Therefore, (AB)' = \(\begin{bmatrix}-3&5&2\\-18&30&-20\\12&-20&-8\end{bmatrix}\).

Now, B'A' = \(\begin{bmatrix}1\\6\\-4\end{bmatrix}\)\(\begin{bmatrix}-3&5&2\end{bmatrix}\) = \(\begin{bmatrix}-3&5&2\\-18&30&-20\\12&-20&-8\end{bmatrix}\) = (AB)'

Hence, (AB)' = B'A'

Concept:

• The cross product of vector to itself = 0
• The cross product of collinear vectors = 0
• The dot product of collinear vectors = Product of their Magnitudes
• \(\rm \vec a \times \vec b=-\vec b \times \vec a\)
• For dot product \(\rm (\vec P + \vec Q) \cdot \vec R = (\vec P\cdot \vec R) +(\vec Q\cdot \vec R)\)
• For cross product \(\rm (\vec P + \vec Q) ×\vec R = (\vec P×\vec R) + (\vec Q×\vec R) \) 
• The unit vector in the direction of a \(\rm \vec P= \hat P={\vec P\over\left|\vec P\right|}\) 
• A vector \(\rm \vec X\) in direction of \(\rm \vec P\) = (Magnitude of \(\rm \vec X\)) × \(\rm \hat P\)

Calculation:

Given:

\(\rm\vec a × (2\hat i + 3\hat j + 4\hat k) = (2\hat i + 3\hat j + 4\hat k) × \vec b\)

⇒ \(\rm\vec a × (2\hat i + 3\hat j + 4\hat k) - (2\hat i + 3\hat j + 4\hat k) × \vec b=0\)

⇒ \(\rm\vec a × (2\hat i + 3\hat j + 4\hat k) + \vec b × (2\hat i + 3\hat j + 4\hat k) =0\)

⇒ \(\boldsymbol{\rm(\vec a + \vec b) × (2\hat i + 3\hat j + 4\hat k) =0}\)

It means the \(\rm\vec a + \vec b\) and \(\rm2\hat i + 3\hat j + 4\hat k\) are collinear vectors.

∴ \(\rm\vec a + \vec b = \left|\vec a + \vec b\right| × {2\hat i + 3\hat j + 4\hat k\over \left|2\hat i + 3\hat j + 4\hat k\right|}\) 

⇒ \(\rm\vec a + \vec b = \sqrt{29}× {2\hat i + 3\hat j + 4\hat k\over\sqrt{29}}\) 

⇒ \(\boldsymbol{\rm\vec a + \vec b = 2\hat i + 3\hat j + 4\hat k}\)

\(\rm (\vec a + \vec b)\cdot(-7\hat i + 2\hat j + 3\hat k) = \left(2\hat i + 3\hat j + 4\hat k\right)\cdot\left(-7\hat i + 2\hat j + 3\hat k\right)\)

⇒ \(\rm (\vec a + \vec b)\cdot(-7\hat i + 2\hat j + 3\hat k) = \left(2\times(-7) + 3\times2 + 4\times3\right)\) 

⇒ \(\rm (\vec a + \vec b)\cdot(-7\hat i + 2\hat j + 3\hat k) = \left(-14 +6 + 12\right)\) 

⇒ \(\boldsymbol{\rm (\vec a + \vec b)\cdot(-7\hat i + 2\hat j + 3\hat k) = 4}\)

Concept:

Let two vectors are \(\rm \vec {a}\) and \(\rm \vec {b}\)

Magnitude of sum of  \(\rm \vec {a}\) and \(\rm \vec {b}\):

\(\rm \left|\vec a+\vec b\right| = \sqrt{a^2+b^2+2ab\cosθ}\)

Magnitude of difference of  \(\rm \vec {a}\) and \(\rm \vec {b}\):

\(\rm \left|\vec a-\vec b\right| = \sqrt{a^2+b^2-2ab\cosθ}\)

where a, b are magnitude of vectors \(\rm \vec a \text{ and } \vec b\); and θ is angle between them.

Calculation:

Given:

\(\rm \left|\vec a\right|=\alpha\text{, }\left|\vec b\right|=\alpha\text{ and }\left|\vec a+\vec b\right|=\alpha\)

As we know,

\(\rm \left|\vec a+\vec b\right| = \sqrt{a^2+b^2+2ab\cosθ}\)

⇒ \(\rm \alpha = \sqrt{\alpha^2+\alpha^2+2(\alpha)(\alpha)\cosθ}\)

⇒ \(\rm \alpha^2 = 2\alpha^2+2\alpha^2\cosθ\)

⇒ \(\rm -1=2\cosθ\)

⇒ \(\boldsymbol{\rm \cosθ=-\frac{1}{2}}\)

Now, 

\(\rm \left|\vec a-\vec b\right| = \sqrt{a^2+b^2-2ab\cosθ}\)

⇒ \(\rm \left|\vec a-\vec b\right| = \sqrt{\alpha^2+\alpha^2-2(\alpha)(\alpha)\cosθ}\)

\(∵ \cos θ = -\frac{1}{2}\)

⇒ \(\rm \left|\vec a-\vec b\right| = \sqrt{2\alpha^2-2\alpha^2 (\frac{-1}{2})}\)

⇒ \(\rm \left|\vec a-\vec b\right| = \sqrt{2\alpha^2+\alpha^2}\)

⇒ \(\boldsymbol{\rm \left|\vec a-\vec b\right| = \sqrt{3}\alpha}\)

Concept:

• The moment \(\rm \vec \tau\) of a force \(\rm \vec F\) about a line vector \(\rm \vec r\) is given by: \(\rm \vec \tau=\vec r \times\vec F\).
• A vector along the line with direction ratios l, m, n is simply the vector lî + mĵ + nk̂.

Calculation:

The direction ratios of the line of action of the force are 2, 2, 1.

So the force vector is given by:

\(\rm \vec F=78\frac{2\hat i+2\hat j+\hat k}{\sqrt{2^2+2^2+1^2}}\)

⇒ \(\rm \vec F=26\left(2\hat i+2\hat j+\hat k\right)\)

Now, the vector joining the point of action (2, 3, 5) with the origin is: 2î + 3ĵ + 5k̂.

The moment \(\rm \vec M\) of the force \(\rm \vec F\) about the origin = (2î + 3ĵ + 5k̂) × 26 (2î + 2ĵ + k̂) = 26(-7î + 8ĵ - 2k̂).

The moment of this force about the line joining the origin to the point (12, 3, 4) will be component of the above moment along this line.

The unit vector along this line is: \(\rm \frac{12\hat i+3\hat j+4\hat k}{\sqrt{12^2+3^2+4^2}}\) = \(\rm \frac{1}{13}\left(12\hat i+3\hat j+4\hat k\right)\).

The required magnitude of the component of the moment along the given line is: \(|\rm 26\left(-7\hat i+8\hat j-2\hat k\right).\frac{1}{13}\left(12\hat i+3\hat j+4\hat k\right)|\).

= |2(-84 + 24 - 12)|

= |2(-72)|

= 136.

Given:

Speed at upward journey = 55 km/h

Speed at downward journey = 45 km/h

Formula used:

Average speed = Total distance/Total time

Calculation:

Let distance be 495 (LCM of 55 and 45)

⇒ (495 + 495)/[(495/55) + (495/45)]

⇒ 990/20

⇒ 49.5

Given:

A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. The length of y is two-thirds that of x.

Concept Used:

When two trains crossing each other, their relative speed will be the sum of their speed.

1 km/h = (5/18) m/s

Distance = Time × speed

Calculation:

Relative speed (74 + 52) = 126 km/h

⇒ 126 × (5/18)

⇒ 35 m/s

Time taken to cross each other 12 second

Total distance covered (12 × 35) = 420 m

The length of y is two-thirds that of x

Let, the length of the train x is a meter

Accordingly,

(a + (2a/3) = 420    

⇒ a = 420 × (3/5)

⇒ a = 252

∴ The length of the train X is 252 m

Given:

The ratio of the present age of Ravi and his wife is 8 : 5 and 6 years hence the ratio of their ages will be 12 : 8 If the ratio of their ages at the time of their marriage was 9 : 3

Calculation

Let the age of Ravi and his wife in present be 8x and 5x

Age 6 years from now = 8x + 6 and 5x + 6

But (8x + 6) ÷ (5x + 6) = 12 ÷ 8

64x + 48 = 60x + 72

⇒ 4x = 72 – 48

⇒ 4x = 24

⇒ x = 6

Their current age = 8 × 6 = 48 and 5 × 6 = 30

Let they married x years ago

Age at married = 48 – x and 30 – x

But (48 - x) ÷ (30 - x) = 9 ÷ 3

⇒ 270 – 9x = 144 – 3x

⇒ 6x = 126

⇒ x = 21

Given:

The ratio of present ages of Ram and Sham is 7 : 11

Ratio of their ages six years hence is 2 : 3

Calculation:

Let the present age of Ram be 7x

Let the present age of Sham be 11x

According to the question

(7x + 6)/(11x + 6) = 2/3

⇒ 21x + 18 = 22x + 12

⇒ 18 – 12 = 22x – 21x

⇒ x = 6

⇒ Ram’s present age = 7 × 6 = 42

⇒ Sham’s present age = 11 × 6 = 66

Difference between their present age = 66 – 42 = 24

∴ The difference between their present age is 24.

(i) 1/6, 1/3, 1/2, .... is an A.P. common difference is 1/6.

d = 1/3 - 1/6 = 2-1/ 6 = 1/6 

or d = 1/2 - 1/3 = \(\frac{3-2}6\) = 1/6

\(\therefore\) a₄ = a₃ + d = \(\frac12 + \frac16 =\frac{3+1}6\) = 4/6 = 2/3

(ii) a₁  = 1/6, a₂ = 1/3, a₃ = 2/3

\(\frac{a_2}{a_1}=\cfrac{\frac13}{\frac{1}{6}}\) = \(\frac63=2\)

\(\frac{a_3}{a_2}=\cfrac{\frac23}{\frac{1}{3}}\) = 2

\(\therefore\) 1/6, 1/3, 2/3., is a G.P. whose common ratio is 2.

a₄ = a₃r = 2/3 x 2 = 4/3

Correct option is C) \(\frac{-ca}2\)

a, b, c are in A.P.

\(\therefore b = \frac{a + c}2\)   ....(1)

\(\because\) a², b², c² are in H.P.

\(\therefore \frac1{a^2}, \frac 1{b^2}, \frac 1{c^2}\) are in A.P.

\(\therefore \frac1{b^2 } - \frac1{a^2} = \frac1{c^2} - \frac1{b^2}\)

⇒ \(\frac{a^2 -b^2}{a^2b^2} = \frac{b^2 - c^2}{b^2c^2}\)

⇒ \(\frac{(a -b)(a +b)}{a^2} = \frac{(b - c)(b + c)}{c^2}\)

⇒ \(\frac{(a -b)(a +b)}{a^2} = \frac{(a - b)(b + c)}{c^2}\)     \(\begin{pmatrix}\because \text{a, b,c are in A.P.}\\\therefore b -a = c-b\\⇒a -b = b-c\end{pmatrix}\)

⇒ \(\frac{a +b}{a^2} = \frac{b +c}{c^2}\)

⇒ \(a^2 (b + c) = c^2(a + b)\)

⇒ \(a^2b + a^2c = c^2 a + c^2b\)

⇒ \(a^2b - c^2b + a^2c - c^2a = 0\)

⇒ \(b(a^2 - c^2) + ac(a - c) = 0\)

⇒ \(b(a -c)(a + c) + ac(a -c) = 0\)

⇒ \((a -c) (b(a +c) + ac) = 0\)

either \(a -c = 0\, or\, b(a + c) + ac =0\)

If \(a- c = 0\) ⇒ \(a = c\)

which is possible when a = b = c but a, b, c are different

\(\therefore b(a +c) + ac = 0\) 

\(b(2b) + ac = 0 \)  (From(i))

⇒ \(b^2 = \frac{-ac}2\)

Common difference is, d = - 3

d = 5 - 8= - 3

2 - 5 = -3

-1 - 2 = -3

-4 - (-1) = -4 + 1 = - 3

So, d = - 3

Let the radius of the circle be r

Then area of circle = πr²

Given that radius of the circle is diminished by 10%

Hence the new radius = r − (10% of r) = 90% of r = 9r/10

Area of the new circle = π (9r/10)² = 81/100 πr²

Change in area πr² − 81/100 πr² = 19/100 πr² = 0.19 πr²

Percentage of area diminished is 19%.

Given:

Mayank doubles the selling price of an item then profit becomes 4 times.

Formula Used:

Profit percentage = {(Selling price – Cost price)/Cost price}×100

Calculation:

Let the initial cost price and selling price be CP, SP.

Let initial profit be P.

As 1^st time Profit P = (SP – CP)      ----(1)

When selling price be doubled 2SP

Then profit in 2^nd case P = (2SP – CP)      ----(2)

As given profit in 2^nd case is 4 times of 1^st

⇒ (2SP – CP) = 4(SP – CP)

⇒ 2SP – CP = 4SP – 4CP

⇒ 3CP = 2SP

⇒ SP/CP = 3x/2x

Profit percentage = {(Selling price – Cost price)/Cost price}×100

⇒ The profit % = (3x – 2x)/2x = (x/2x)×100 = 50%

∴ The initial profit % is 50%

Given:

Selling price is triple, the profit four time

Formula used:

Percentage profit = [(selling price – cost price)/cost price] × 100

Calculation:

Let the C.P be Rs.100 and S.P be Rs.x, Then

The profit is (x-100)

Now the S.P is triple, then the new S.P is 3x

New profit is (3x-100)

Now as per the given condition;

=> 4(x - 100) = 3x - 100

By solving, we get

x = 300

Then the Profit percent = [(300-100)/100] × 100 = 200

∴ The profit percentage is 200%.

let us find the interest for 6 years ,
 p = $2000 , t = 6 , rate = 8%
  ( p× t × r)/ 100
= (2000×  6 × 8) /100
= 960
the interest is = $ 960
the total amount to be cleared after 6 years = p.a + interest
                                                                     = 2000+ 960
                                                                     = $2960
ken cleared by giving $2600 and a watch
cost of watch = $ 2960- 2600
                       = $ 360

The correct option (3) π    

Explanation:

x = 3p – 10 ; y = 4π – 10 

⇒ y – x = π

Given:

Selling price gets “tripled”

Profit becomes 5 times

Formula Used:

Profit % = 100 × (Profit/Cost price)

Calculation:

Let the initial Selling price is SP

Now Selling Price is tripled = 3SP

Profit becomes 5 times of it

⇒ (3SP – CP) = 5 × (SP – CP)

⇒ 2SP = 4CP

⇒ SP/CP = 2/1

Profit % = 100 × (2 - 1)/1 = 100%

∴ The profit is 100%.

The correct option (3) 1 < r < 11   

Explanation:

(x – 8)² + (y – 10)² = r² ; (x – 4)² + (y – 7)² = 36 

C₁(8, 10); C₂(4, 7) : |r – 6| < C₁C₂ < |r| + 6 

⇒ |r – 6| < 5 < |r| + 6 ⇒ r ∈ (1, 11)

Given:

SP of mobile phone = Rs. 1950

Loss = 25%

Formula used:

CP = (100 × SP)/(100 – L%)

SP = [CP × (100 + P%)]/100 

Here, SP, CP, P and L are selling price, cost price, profit and loss respectively

Calculation:

CP = (100 × SP)/(100 – L%)

⇒ (100 × 1950)/(100 – 25)

⇒ 2600

Now, 

SP = [CP × (100 + P%)]/100 

⇒ [2600 × (100 + 30)]/100 = 3380

∴ The required selling price of the mobile phone is Rs 3380

Given:

The profit made by selling an article for Rs. 8,800 is equal to the amount of loss incurred on selling the same article for Rs. 7,200

Formula used:

Profit = selling price - cost price

Profit%  = Profit × 100/cost price.

Calculation:

let cost price be Rs. X

According to the question:

(8800 - X) = (X - 7200)

⇒ 16000 = 2X

⇒ X = 8000

if sp = 9,600

Then, Profit = selling price - cost price

⇒ Profit = 9600 - 8000 = Rs.1600

∴ Profit % = Profit × 100/cost price

⇒ Profit = (1600 × 100)/8000 = 20 %

∴ The profit percent is 20 %

The institution that undertakes economic transactions like accepting deposits and giving loans are called financial institutions.

The correct answer is Dr. Jagannath Mishra.

• The recently released book 'Dastak Dete Rahenge' is a compilation of speeches by Dr. Jagannath Mishra.
• Jagannath Mishra was an Indian politician who served as Chief Minister of Bihar.
• He was also Member of Parliament, Rajya Sabha between 1988 - 1990 and 1994 - 2000.
• He was elected Chief Minister of Bihar three times.

• Notable works of Shashi Tharoor are:
  • An Era of Darkness: The British Empire in India.
  • The Paradoxical Prime Minister.
  • Inglorious Empire.
  • Why I Am a Hindu.
• Notable works of Narendra Modi are:
  • Exam Warriors.
  • Abode of Love.
  • Jyotipunj.
  • Social Harmony. 

Correct option: d) 1949

Banks differ in their operations, though all of them basically perform the same functions. Based on the operations, banks are classifieds commercial banks, co-operative banks, development banks and specialized banks.

The correct answer is Ganga.

• The Ganga and the Brahamaputra basins, have about 46 per cent of the total replenishable groundwater resources.

• The level of groundwater utilisation is relatively high in the river basins lying in north-western region and parts of south India.
• The groundwater utilisation is very high in the states of Punjab, Haryana, Rajasthan and Tamil Nadu.
• Groundwater Resources The total replenishable groundwater resources in the country are about 432 cubic km. 
• As expected, Uttar Pradesh has the largest ground water resources for irrigation which is as much as 68.95 BCM/year.
• The other states with large ground water resources for irrigation are Andhra Pradesh, Assam, Bihar, Madhya Pradesh, Maharashtra and Tamil Nadu.
• Each of these states has more than 20 BCM/year ground water resources for irrigation.

(c) The NSSO (National Sample Survey Organization)