Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

“Are you ready?” she asked. She asked ______ ready.A) if I was B) when I am C) to be D) why I was

Answer»

Correct option is A) if I was

2.

Pick the odd one out – (A) Titan (B) Mercury (C) Earth (D) Jupiter 

Answer»

Correct option (A) Titan

Explanation: 

All except Titans are planets of the solar system.  

3.

I wonder why ______. A) is the sky blueB) was the sky blueC) the sky was blue D) the sky is blue

Answer»

Correct option is D) the sky is blue

4.

I don’t know______. A) when is it B) what time it is C) what time is it D) when was it

Answer»

Correct option is B) what time it is

5.

“Why is he smiling ?” I want to know______. A) why he was smiling B) why was he smiling C) why is he smiling D) why he is smiling

Answer»

Correct option is D) why he is smiling

6.

We show other people that we are happy _____ smiling. A) with B) by C) at D) in

Answer»

Correct option is B) by

7.

Choose the best alternative Car : Petrol : : T.V. : ?  (A) Electricity (B) Transmission (C) Entertainment (D) Antenna 

Answer»

Correct option (A) Electricity

Explanation: 

A car runs on petrol and a television works by electricity.

8.

Fill in the blank spaces 6, 13, 28, ? . . . . (A) 56 (B) 57 (C) 58 (D) 59 

Answer»

Correct option (D) 59  

Explanation: 

The pattern is x2 +1, x2 + 2, . . .

Missing number = 28 × 2 + 3 = 59  

9.

Something that is fired from a gun is called a ______

Answer»

Correct option is bullet

10.

To divide into groups is the same as to ______ up.A) screw B) split C) beat

Answer»

Correct option is B) split

11.

If in a code language BRASS is written as 63516 and RISK is written 6147. What will be the code of SIR in the same language?(a) 631(b) 315(c) 536(d) 617

Answer»

 so code for SIR = 617

12.

A small word that means “next to” is ______

Answer»

Correct option is by

13.

To admit you have done something wrong is the same as to ______ up. A) own B) dig C) lighten

Answer»

Correct option is A) own

14.

Something that is used to fasten shirts and cuffs is called a _____

Answer»

Correct option is button

15.

What are some examples of quadratic expression?

Answer»

Examples of Quadratic Equation

  • 6x² + 11x - 35 = 0.
  • 2x² - 4x - 2 = 0.
  • -4x² - 7x +12 = 0.
  • 20x² -15x - 10 = 0.
16.

(x) \( f(x)=\left\{\begin{array}{r}(x-a)^{2} \cos \frac{1}{x-a}, x \neq a \\ 1, x=a\end{array}\right. \) at \( x=a \)

Answer»

\( f(x) = \begin{cases} (x-a)^2 & cos\,\frac{1}{x-a},x≠a\\ & 1,x=a\\ \end{cases} \)

Now,

\(\lim_{x\to a}\) f(x) = \(\lim_{x\to a}\) (x - a)2 cos\((\frac{1}{x-a})\)

\(\lim_{x\to a}\) (x - a)2 x l

(where l = \(\lim_{x\to a}\) cos\((\frac{1}{x-a})\)

∴ l \(\leq\) l \(\leq\) 1 (bounded value)

= (a - a)2 x l

= 0 x l

= 0 \(\neq\) 1

\(\lim_{x\to a}\) f(x) \(\neq\) f(a)

\(\Rightarrow\) f(x) is not continuous at x = a

17.

Evaluate the limits:a. \( \lim _{x \rightarrow 2} \frac{x^{-3}-2^{-3}}{x-2} \)

Answer»

-3*2^3-1=-6^2 =36 ( x^n -a^n/x-a =na^n-1) by formula



18.

Solve the system of equations by Cramer's rule:3x + 2y - 2z = 1-x + y - 4z = 132x - 3y + 4z = 8

Answer»

Matrix form of given linear programming is AX = B,

Where A = \(\begin{bmatrix}3&2&-2\\-1&1&-4\\2&-3&4\end{bmatrix},\) x = \(\begin{bmatrix}x\\y\\z\end{bmatrix},\) B = \(\begin{bmatrix}1\\13\\8\end{bmatrix}\)

\(\therefore\) D = |A| = \(\begin{vmatrix}3&2&2\\-1&1&-4\\2&-3&4\end{vmatrix}\) = \(3\begin{vmatrix}1&-4\\-3&4\end{vmatrix}-2\begin{vmatrix}-1&-4\\2&4\end{vmatrix}\)\(-2\begin{vmatrix}-1&1\\2&-3\end{vmatrix}\)

 = 3(4 - 12) - 2(-4 + 8) -2 (3 - 2)

 = -24 - 8 - 2 = -34

Dx = \(\begin{vmatrix}1&2&-2\\13&1&-4\\8&-3&4\end{vmatrix}\) = \(1\begin{vmatrix}1&-4\\-1&4\end{vmatrix}-2\begin{vmatrix}13&-4\\8&4\end{vmatrix}\)\(-2\begin{vmatrix}13&1\\8&-3\end{vmatrix}\)

 = (4 - 12) - (52 + 32) - 2(-39 - 8)

 = -8 - 168 + 94 = -176 + 94 = -82

Dy =   \(\begin{vmatrix}3&1&-2\\-1&13&-4\\2&8&4\end{vmatrix}\) = \(3\begin{vmatrix}13&-4\\8&4\end{vmatrix}-1\begin{vmatrix}-1&-4\\2&4\end{vmatrix}\)\(-2\begin{vmatrix}-1&13\\2&8\end{vmatrix}\)

= 3(52 + 32) - 1(-4 + 8) - 2(-8 - 26)

 = 252 - 4 + 68 = 320 - 4 = 316

Dz =   \(\begin{vmatrix}3&2&1\\-1&1&13\\2&-3&8\end{vmatrix}\) = \(3\begin{vmatrix}1&13\\-3&8\end{vmatrix}-2\begin{vmatrix}-1&13\\2&8\end{vmatrix}\)\(1\begin{vmatrix}-1&1\\2&-3\end{vmatrix}\)

 = 3(8 + 39) - 2(-8 - 26) + (3 - 2)

 = 141 + 68 + 1 = 210

\(\therefore\) x = \(\frac{Dx}D=\frac{-82}{-34}=\frac{41}{17}\) 

y = \(\frac{Dy}D=\frac{316}{-34}=\frac{-158}{17}\)

z = \(\frac{Dz}D=\frac{210}{-34}=\frac{-105}{17}\) 

Hence, solution of given linear programming is 

x = 41/17, y = -158/17 and -105/17.

19.

The maximum value of (1/x)x is :(a) e1/e(b) e(c) \((\frac{1}{e})^{1/e}\)(d) ee

Answer»

Option : (a) e1/e

20.

5x + 2y = 3 x + 7y - 45 = 0

Answer»
5x+2y=3
x+7y=45


D= 5.  1          D= Determinant 
      1.  7
    =33

D1= 3.   2
        45. 7
    =-69

D2= 5.   3
        1.  45
     =133

X= D1/D=-69/13
Y=D2/D=133/33

21.

The principal value of [tan-1√3 - cot-1(-√3)] is :(a) π(b) \(-\frac{\pi}{2}\)(c) 0(d) 2√3

Answer»

Option :  (b) \(-\frac{\pi}{2}\)

22.

If y = sin (m sin-1x), then which one of the following equations is true?(a) (1 - x2) \(\frac{d^2y}{dx^2}\) + x\(\frac{dy}{dx}\) + m2y = 0(b)  (1 - x2) \(\frac{d^2y}{dx^2}\) - x\(\frac{dy}{dx}\) + m2y = 0(c)  (1 + x2) \(\frac{d^2y}{dx^2}\) - x\(\frac{dy}{dx}\) - m2y = 0(d)  (1 + x2) \(\frac{d^2y}{dx^2}\) + x\(\frac{dy}{dx}\) - m2x = 0

Answer»

Option : (b)  (1 - x2\(\frac{d^2y}{dx^2}\) - x\(\frac{dy}{dx}\) + m2y = 0

23.

If for the matrix A = \(\begin{bmatrix}\alpha & -2 \\[0.3em]-2 & -\alpha\end{bmatrix}\), |A3| = 125, then the value of α is :[(α,-2),(-2,-α)](a) ±3(b) -3(c) ±1(d) 1

Answer»

Option : (a) ±3

24.

The simplest form of tan-1\([\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}]\) is :[(√(1+x)-√(1-x))/(√(1+x)+√(1-x))](a) \(\frac{\pi}{4}-\frac{x}{2}\)(b) \(\frac{\pi}{4}+\frac{x}{2}\)(c) \(\frac{\pi}{4}-\frac{1}{2}cos^{-1}x\) (d) \(\frac{\pi}{4}+\frac{1}{2}cos^{-1}x\)

Answer»

Option : (c) \(\frac{\pi}{4}-\frac{1}{2}cos^{-1}x\)

25.

If A is a square matrix of order 3 and |A| = -5, then |adj A| is :(a) 125(b) -25(c) 25(d) ± 25

Answer»

Option : (c) 25

26.

For the matrix X = \(\begin{bmatrix}0 & 1 &1 \\[0.3em]1& 0 & 1 \\[0.3em]1 & 1 &0\end{bmatrix}\),(X2- x) is :[(0,1,1),(1,0,1),(1,1,0)](a) 2I(b) 3I(c) I(d) 5I

Answer»

Option : (a) 2I

27.

Let X = {x2 : x ∈ N} and the function f : N → X is defined by f(x) = x2,x ∈ N. Then this function is :(a) injective only(b) not bijective(c) surjective only(d) bijective

Answer»

Option : (d) bijective

28.

The equation of the normal to the curve ay2 = x3 at the point (am2,am3) is :(a) 2y - 3mx + am3 = 0(b) 2x + 3my - 3am4 - am2 = 0(c) 2x + 3my + 3am4 - 2am2 = 0(d) 2x + 3my - 3am4 - 2am2 = 0

Answer»

Option : (d) 2x + 3my - 3am4 - 2am2 = 0

29.

The corner points of the feasible region for a Linear Programming problem are P(0,5),Q(1,5),R(4,2) and S(12,0). The minimum value of the objective function Z = 2x + 5y is at the point.(a) P(b) Q(c) R(d) S

Answer»

Option : (c) R

30.

Define feasible region in a linear programming problem.

Answer»

Feasible region is defined as the common region determined by all the constraints including non – negative constraints x ≥ 0, y ≥ 0 of a linear programming problem is called as Feasible region.

31.

How many such pair of letters are there in the word WONDERS, each of which has as many letters between them in the word (in both forward and backward directions) as they have between them the English alphabetical order ?A. OneB. TwoC. ThreeD. More than three

Answer» Correct Answer - D
DE, NO, RW, RS (4 pair of letters) have as many letters between them as in English alphabets.
32.

The sum of squares of the direction cosines of the x-axis is - (A) 1 (B) 4 (C) 3 (D) None of these

Answer»

Correct answer is (A) 1

33.

A coin is tossed 8 times. The probability of getting exactly 5 heads is -(A) \(\left(\frac{1}{2}\right)^5\)(B) \(\left(\frac{1}{2}\right)^8\)(C) \(^8C_5 \left(\frac{1}{2}\right)^8\)(D) \(^8C_5 \left(\frac{1}{2}\right)^5\)

Answer»

Correct answer is (C) \(^8C_5 \left(\frac{1}{2}\right)^8\)

34.

A coin is tossed ten times. The probability of getting exactly 8 heads is(A) 10C8 \((\frac{1}{2})^{10}\)(B) 10C8 \((\frac{1}{2})^{8}\)(C) \((\frac{1}{2})^8\)(D) none of these

Answer»

Correct option is: (A) 10C8 \((\frac{1}{2})^{10}\)

35.

\(\int_0^1 x(1 - x)^{29}dx =\)∫ x(1 - x)29dx, x ∈ (1, 0) =(A) \(\frac{7}{870}\)(B) \(\frac{1}{930}\)(C) \(\frac{43}{870}\)(D) \(\frac{251}{870}\)

Answer»

Correct answer is (B) \(\frac{1}{930}\)

36.

acceleration due to gravity above the earth's surface at a height equal to the radius of earth is

Answer»

\(g'=g(\frac{R}{R+h})^2\)

When R = h

\(g'=g(\frac{h}{h+h})^2\)

= g/4

=10/4 = 2.5 m/s2

37.

Choose the correct statement(s) :(a) A dimensionally correct equation may be correct.(b) A dimensionally correct equation may be incorrect.(c) A dimensionally incorrect equation may be correct.(d) A dimensionally incorrect equation may be incorrect.

Answer»

(a) A dimensionally correct equation may be correct. 

(b) A dimensionally correct equation may be incorrect.

(d)A dimensionally incorrect equation may be incorrect.

Explanation:

It is not possible that a dimensionally incorrect equation is correct. All the other situations are possible.

38.

The dimensions ML-1 T-2 may correspond to(a) work done by a force(b) linear momentum(c) pressure(d) energy per unit volume.

Answer»

(c) pressure
(d) energy per unit volume.

Explanation:

[Work done] = [ML2T−2]

[Linear momentum] = [MLT−1]

[Pressure] = [ML−1 T−2]

[Energy per unit volume] = [ML−1 T−2]

From the above, we can see that pressure and energy per unit volume have the same dimension, i.e., ML−1 T−2.

39.

∫ dx/√(2ax-x2)=an sin-1 [x/a-1]. The value of n is(a) 0 (b)-1(c)1(d) none of these.You may use dimensional analysis to solve the problem

Answer» The correct answer is

(a) 0
40.

Give the name of six noble gas compounds known to you.

Answer» `XeF_2,XeF_4,XeF_6,XeO_3,XeO_2F,XeOF_4`.
41.

Name the first noble gas compound.

Answer» Correct Answer - `XePtF_6`
42.

To safeguard the sanctity of which Indian heritage brand came under the the enactment of Geographical Indications of Goods (Registration & Protection Act, 1999) in 2003 and this became first Indian product to receive a GI tag 2004-05 through the Indian Patent Office?

Answer»

Darjeeling Tea

43.

Which well-known national park also the location of Marsar Lake from which flows the Dagwan river literally means 10 villages?

Answer»

Correct Answer is Dachigam

44.

Conversation:Minister: The cost of execution will be 16,000 francs Prince: The wretch is not worth the money. Can’t it be done, somehow cheaper? 16,000 francs is more than two francs ahead on the whole population. The people will not stand it.

Answer»

The minister informed the prince that the cost of execution would be 16,000 francs. The prince remarked that the wretch was not worth the money. He asked the minister whether it couldn’t be somehow done cheaper. He added that 16,000 francs were more than two francs ahead on the whole population. He further said that people would not stand it.

45.

Conversation:Minister: Why do you not run away? There is no guard to keep you. The Prince will not mind.Criminal: I know it. But I have nowhere to go.

Answer»

The minister asked the criminal as to why he didn’t run away. He added that there was no guard to keep him. He further added that the prince would not mind. The criminal replied that he knew it, but he had nowhere to go.

46.

“Be lamps unto yourselves as all of you must work out your own liberation “. In light of this statement explain the teachings of Buddhism.

Answer»

Teachings of Buddha -

(i) Buddha’s teachings are reconstructed from stories 

(ii) These stories are found in ‘Sutta Pitaka’ 

(iii) They describe his miraculous powers 

(iv) They let us about how Buddha tried to convince people through reason and persuasion rather than through supernatural powers 

(v) He convinced a woman who was in grief over the death of a child about the variable nature of death and did not advice her to bring back her son to life 

(vi) He spoke in a simple language which common people could understand 

(vii) He said, world is transient (Anicca) and constantly changing 

(viii) It is soulless and there is nothing permanent about the world 

(ix) By following the path of moderation, human beings can rise above these worldly troubles 

(x) Existence of God is irrelevant to Buddhism 

(xi) Buddha considered social world as the creation of humans rather than divine origin 

(xii) He advocated that people should follow ethics and be humane.

(xiii) He believed that individual effort can change social relations

(xiv) Individual agency and righteous action as the means to escape from the cycle of rebirth

47.

Conversation:Prince: You must find some cheaper way of dealing with this rascal. The present plan is too expensive. First Minister: In my opinion, we must dismiss the guard.Second Minister: Then the fellow will run away.First Minister: Let him run away.

Answer»

The prince remarked to the ministers that they must find some cheaper way of dealing with that rascal. He added that the plan they had then was too expensive. The first minister stated that in his opinion they must dismiss the guard. The second minister continued saying that in such a situation the fellow would run away. The first minister replied that they could let him run away.

48.

Explain the most important idea of Jainism and its impact on Indian thinking

Answer»

Most important idea of Jainism:- 

(i) The entire world is animated and hence Ahimsa is emphasized. 

(ii) Non injury to living beings 

Impact on Indian thinking:- 

(i) Idea of Ahimsa left its mark on Indian thinking as a whole- Influenced Bhuddha and Gandhiji 

(ii) Cycle of birth and rebirth through karma 

(iii) Renouncing the world to free oneself from the cycle of karma 

(iv) High moral thinking was advised through the vows like not stealing, killing, lying or possessing property and observing celibacy 

(v) Simple way of life 

(vi) Vegetarianism

49.

That couple are well-suited; they live in perfect ________. A) order B) control C) harmony D) melody E) duet

Answer»

Correct option is C) harmony

50.

Give reasons to prove that the future generations remember easily the Victor more than the Vanquished with relevant references from King Richard’s speech.

Answer»

Unusually future generations remember victors. But there are rare instances of just rulers falling due to the conspiracy and greed of an aggressor. On such occasions, future generations remember the vanquished. A Shiva devotee king was very generous. His enemies entered his kingdom under the guise of Shiva devotees in saffron clothes and slew the king and captured his kingdom. Alexander, King Richard was a just ruler. He was loved by his subjects and loyal nobles.

He was defeated by his rebellious cousin simply because he wanted to be a king. When Richard was thinking about the welfare of his subjects, Bolingbroke was secretly raising an army to dethrone him. People who are mad after power resort to unjust means. So, British subjects respected and loved the vanquished but were helpless. Defeated Porus had fought so valiantly and wanted to be treated with respect befitting a king. Alexander himself respected him and returned his kingdom and sealed a life time friendship with him. From King Richard’s speech one understands that he was good at heart but in the strategy of war, he was not good.

Like a crooked end of a straight walking stick, a ruler has to have some secret deals with neighbouring countries to be protected during crisis. Bolingbroke turned out to be a more assertive and Shrewd king. But people would remember a just and noble person more even if defeated.