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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. |
The point on the line 3x − y − 1 = 0 whose ordinate is 5, is(a) (0, 4) (b) (2, 5) (c) (5, 2) (d) (-2, 5) |
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Answer» (b) (2, 5) The point on the line 3x − y − 1 = 0 whose ordinate is 5, is (2, 5). |
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| 2. |
(ii) \( -\sqrt{81} \) |
| Answer» \( -\sqrt{81}=-\sqrt{9 \times 9}=-\sqrt{9^2}=-9 \) | |
| 3. |
The equation of the line, whose perpendicular distance from the origin is 4 units and the angle which the normal makes with positive direction of x-axis is 15°, is(a) (√3 + 1)x + (√3 - 1)y = 8√2(b) (√3 + 1)x - (√3 - 1)y = 8√2(c) (√3 - 1)x + (√3 + 1)y = 8√2(d) (√3 - 1)x - (√3 + 1)y = 8√2 |
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Answer» Correct answer is (a) (√3 + 1)x + (√3 - 1)y = 8√2 |
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| 4. |
The value of ∫ x√x dx , x ∈ [1, 4] is equal to(A) 12 · 8 (B) 12 · 4 (C) 7 (D) None of these |
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Answer» Correct option: (B) 12 · 4 |
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| 5. |
__________ and fringe benets are no longer employees rst priority a) Wages b) bonus c) rewards d) promotions |
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Answer» Wages and fringe benets are no longer employees first priority. |
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| 6. |
Let A and B be two events such that P(A) = 0.6, P(B) = 0.2 and P(A/B) = 0.5, then P(A’/B’) is(a) 1/10(b) 3/10(c) 3/8(d) 6/7 |
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Answer» (c) 3/8 Let A and B be two events such that P(A) = 0.6, P(B) = 0.2 and P(A/B) = 0.5, then P(A’/B’) is 3/8. |
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| 7. |
If A and B are events such that P(A/B) = P(B/A), then(a) A ⊂ B but A ≠ B(b) A = B(c) A ∩ B = ϕ(d) P(A) = P(B) |
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Answer» (d) P(A) = P(B) If A and B are events such that P(A/B) = P(B/A), then P(A) = P(B). |
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| 8. |
A man throws a fair coin a number of times and gets two points for each head he throws and 1 point for each tail he throws. The probability that he gets exactly 6 points is(a) \(\frac{21}{32}\)(b) \(\frac{23}{32}\)(c) \(\frac{41}{64}\)(d) \(\frac{43}{64}\) |
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Answer» Correct answer is (d) \(\frac{43}{64}\) |
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| 9. |
A man throws a fair coin number of times and gets 2 points for each head and 1 pointfor each tail the probability that he gets exactly 6 points is`(21)/(32)`(2) `(13)/(64)`(3) `(43)/(64)`(4) `(23)/(32)`A. `21/32`B. `23/32`C. `41/64`D. `43/64` |
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Answer» Correct Answer - D `P("HHH")+P("HHTT") + P("HTTTT") + P("TTTTTT")` `1/(2^(3)) + .^(4)C_(2) (1)/(2^(4)) + .^(5)C_(1) (1)/(2^(5))+(1)/(2^(6))` `= 1/(8) + (6)/(16) + (5)/(32) + (1)/(64)` `= 43/64` |
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| 10. |
Construct the truth table for ( p ∨ q ) ∨ ¬q |
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Answer» Truth table for ( p ∨ q ) ∨ ¬q
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| 11. |
If \(\vec {a}\) and \(\vec {b}\) are parallel vector, then [ \(\vec {a}\), \(\vec {c}\), \(\vec {b}\)] is equal to _____ (a) 2 (b) -1 (c) 1 (d) 0 |
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Answer» The correct answer is : (d) 0 |
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| 12. |
The equation of the directrix of the parabola y2 = -8x is ______. (a) y + 2 = 0 (b) x – 2 = 0 (c) y – 2 = 0 (d) x + 2 = 0 |
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Answer» (b) x – 2 = 0 |
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| 13. |
The radius of the circle 3x2 + by2 + 4bx – 6by + b2 = 0 is ________. (a) 1 (b) 3 (c) √10(d) √11 |
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Answer» The correct answer is : (c) √10 |
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| 14. |
If AT A-1 is symmetric, then A2 = _______ (a) A-1 (b) (AT )2 (c) AT (d) (A-1 )2 |
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Answer» The correct answer is : (b) (AT )2 |
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| 15. |
if p + iq = (a + ib)/(a - ib), then p2 + q2 = ___________.(a) 0 (b) 2 (c) 1 (d) -1 |
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Answer» The correct answer is : (c) 1 |
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| 16. |
The value of sin-1 (cos x), 0 ≤ x ≤ π is _______. (a) π – x (b) x – π/2(c) π/2 - x(d) π – x |
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Answer» The correct answer is : (c) π/2 - x |
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| 17. |
If ω ≠ 1 is a cubic root of unity and \(\begin{vmatrix} 1&1&1\\1&-ω^2-1&ω^2\\1& ω^2&ω^7\end{vmatrix}\)= 3k, then k is equal to _______.(a) 1 (b) -l (c) √3i(d) -√3i |
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Answer» The correct answer is : (d) -√3i |
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| 18. |
If ω ≠ 1 is a cubic root of unity and (1+ ω)7 = A+ B ω, then (A, B) equals to _______. (a) (1,0) (b) (-1, 1) (c) (0, 1) (d) (1, 1) |
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Answer» The correct answer is : (d) (1, 1) |
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| 19. |
If the present time is 8.40 PM, then the time after \(876\cfrac{1}{2}\)hours will be: (a) 8.40 AM(b) 9.10 AM(c) 6.10 PM(d) 10.40 PM |
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Answer» Correct answer is: (b) 9.10 AM \(\because\) 876 (mod 24) = 12 \(\therefore\) 8.40 PM will change to 8.40 AM after 12 hours, further after 30 minutes the time will be 9.10 AM |
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| 20. |
A, B and C enter into a partnership. B contributes\(\frac{1}{3}\)rd of the capital, while A contributes as much as B and C together contribute. The ratio of their capitals is:(a) 1:2:3(b) 3:2:1(c) 3:1:1(d) 2:1:1 |
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Answer» Correct answer is: (b) 3:2:1 Let total capital be = x & let C’s contribution = y, B’s contribution = x/3 , A’s Contribution = x/3 + y. Now (A+B+C)’s contribution = x ⇒ x = 6y hence this contribution are 2y + y: 2y:y i.e., in the ratio 3:2:1 |
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| 21. |
Let m ∈ z+ consider the relation Rm defined as a Rm b iff a ≡ b (mod m), then Rm is(a) reflexive but not symmetric(b) symmetric but not transitive(c) reflexive, symmetric but not transitive(d) an equivalence relation |
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Answer» Correct answer is: (d) an equivalence relation The relation Rm defined as a ≡ b (mod m) is reflexive, symmetric and transitive \(\therefore\) Rm is an equivalent relation |
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| 22. |
Three friends X, Y and Z agrees to invest for time periods in the ratio 2:3:4. If their profit sharing ratio is 6:7:8 then the ratio of their investments is(a) 4:5:6(b) 9:7:6(c) 8:7:6(d) 12:21:32 |
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Answer» Correct answer is: (b) 9:7:6 Time ratio = 2 : 3 : 4 Profit sharing ratio = 6: 7: 8 Investment ratio = \(\cfrac{6}{2}\):\(\cfrac{7}{3}\):\(\cfrac{8}{4}\) (Profit /Time) = 9 : 7 : 6 |
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| 23. |
Figure shows a powerful electromagnet arrangement. A copper ring, which is free to move, is placed on the projecting part of the core as shown. When the key is inserted, the ring A. is thrown upB. remains stationaryC. sticks to the coreD. slips down along the core |
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Answer» Correct Answer - A Flux through teh ring increases in upward direction. To oppose the same, it is thrown up. As the ring moves up, intensity of magnetic field due to electromagnet at upper points is less since `B alpha((1)/(r^(3)))`. |
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| 24. |
A cube has a side of length `1.2xx10^(-2)m`. Calculate is volume:A. `1.7xx10^(-6)m^(3)`B. `1.73xx10^(-6)m^(3)`C. `1.70xx10^(-6)m^(3)`D. `1.732xx10^(-6)m^(3)` |
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Answer» Correct Answer - A `rho=(m)/(1xxpir^(2))implies (drho)/(rho)=(dm)/(m)+(dl)/(l)+2(dr)/(r )` |
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| 25. |
For the third resonance, which option shows correct mode shaoe for displacement variation and pressure variation.A. B. C. D. |
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Answer» Correct Answer - B Number of significant figures should be two. |
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| 26. |
Kirchhoff law |
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Answer» The total current entering a junction or a node is equal to the charge leaving the node as no charge is lost. The voltage around a loop equals to the sum of every voltage drop in the same loop for any closed network and also equals to zero. |
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| 27. |
What is solar irradiation |
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Answer» Solar irradiation refers to the amount of solar radiation received from the Sun per unit area. |
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| 28. |
A "pain in the neck" means something is _____. A) unusual B) bothersome C) difficult to see |
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Answer» Correct option is B) bothersome |
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| 29. |
To "pack off" means to _____. A) put away B) give away C) send away |
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Answer» Correct option is C) send away |
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| 30. |
In what range of frequencies does the earth emit Radiation |
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Answer» The Earth emits most of its radiation in a wavelength band between 0.5 and 30.0 micrometers (µm). |
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| 31. |
Jane’s a doctor. She _____ ill people. A) looks at B) speaks to C) helps D) serves drinks |
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Answer» Correct option is C) helps |
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| 32. |
Jim’s a postman. He _____ letters to people. A) answers B) works C) delivers D) serves |
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Answer» Correct option is C) delivers |
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| 33. |
He _____ his car every weekend. A) wash B) washes C) washing D) washed |
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Answer» Correct option is B) washes |
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| 34. |
Their son _____ in this hospital. A) works B) begins C) starts D) likes |
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Answer» Correct option is A) works |
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| 35. |
The chairman ______ a very controversial idea which had little chance of being accepted. A) got on B) came up C) made for D) put forward |
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Answer» Correct option is D) put forward |
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| 36. |
Watch ________ . A) him and his dog! B) he and he’s dog! C) he and his dog! D) him and its dog! |
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Answer» Correct option is A) him and his dog! |
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| 37. |
Rosemary _____ three languages. A) speaks B) talks C) tells D) know |
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Answer» Correct option is A) speaks |
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| 38. |
Isabel is a flight attendant. She _____ passengers. A) serve B) to serve C) serves D) serving |
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Answer» Correct option is C) serves |
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| 39. |
He speaks very badly, I can’t ______ what he is saying. A) make out B) put down C) go over D) get out |
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Answer» Correct option is A) make out |
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| 40. |
He ______ everything I said. A) put down B) set out C) picked up D) looked to |
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Answer» Correct option is A) put down |
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| 41. |
He’s a terrible liar, he’s always ______ stories. A) getting up B) putting through C) making up D) going over |
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Answer» Correct option is C) making up |
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| 42. |
_______ provide solutions to environmental problems by using engineering, biology, and chemistry. |
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Answer» Environmental engineers provide solutions to environmental problems by using engineering, biology, and chemistry. |
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| 43. |
He was an HONEST man. A) liar B) good C) bad D) truthful E) wonderful |
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Answer» Correct option is A) liar |
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| 44. |
Write down the different types of verbal communication. Give an example for each type. |
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Answer» Oral or Spoken Communication: Communication which involves talking. Face-to-face conversation, Talking on a phone Written Communication: Communication which involves written or typed words. Writing letters, notes, email, etc. |
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| 45. |
Why is business planning important for an entrepreneur? |
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Answer» Importance of business planning:- (i) To make optimal use of resources (ii) To get more benefits at lower prices products and services at |
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| 46. |
Why is business planning important for an entrepreneur ? |
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Answer» Estimating the money required to be spent estimating quantity of material required standing out setting goals. |
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| 47. |
Standard pace in Tez Chal (Quick March) is - A. 60 paces per minute B. 120 paces per minute C. 100 paces per minute |
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Answer» Correct answer is (B) 120 paces per minute |
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| 48. |
You ___ get a visa before you go abroad next summer. A) may B) can C) could D) have to E) will have to |
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Answer» Correct option is E) will have to |
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| 49. |
We ___ do it by midday if we had the instruments. A) may B) can C) must D) could E) might |
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Answer» Correct option is D) could |
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| 50. |
Free 238U nuclei kept in a train emit alpha particles. When the train is stationary and a uranium nucleus decays, a passenger measures that the separation between the alpha particle and the recoiling nucleus becomes x in time t after the decay. If a decay takes place when the train is moving at a uniform speed v, the distance between the alpha particle and the recoiling nucleus at a time t after the decay, as measured by the passenger will be (a) x + vt (b) x - vt (c) x (d) depends on the direction of the train. |
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Answer» (c) x. Explanation: In both of the cases the frame of reference is inertial so with reference to the frame of train the separation too will be equal. |
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