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 displacement-time graph of a particle is as shown below. It indicates that A. The particle starts with a certain velocity but the motion is retarded and finally the particle stops.B. Velocity of the particle is contant throught.C. Acceleration of the particle is constant throughoutD. The particle strts with a velocity, the motion is accelerated and finally the particle moves with a constant velocity |
|
Answer» Correct Answer - A The displacment …………. |
|
| 2. |
The value of integral `I = int_(0)^(pi//4) (tan^(2)x + 2sin^(2)x) dx` is:A. 2B. 0C. `-(1)/(2)`D. `(1)/(2)` |
|
Answer» Correct Answer - D The value ………. `I = overset(pi//4)underset(0)int (tan^(2)x+2sin^(2)x)dx` `= overset(pi//4)underset(0)int (sec^(2)x - 1+1-cos2x)dx` `= overset(pi//4)underset(0)int sec^(2)x dx - overset(pi//4)underset(0)int cos 2x dx` `=|tan x|_(0)^(pi//4) - |(sin2x)/(2)|_(0)^(pi//4)` `=(1-0) - ((1)/(2) - 0) = (1)/(2)` |
|
| 3. |
Prove that (i)^{1 / 2}+(-i)^{1 / 2}=2^{1 / 2} |
|
Answer» \(i^\frac12 = p + \iota q, \;p,q\, \in R\) Then \((p + \iota q)^2 = i\) ⇒ \(p^2 - q^2 + 2\iota\, pq = i\) \(\therefore 2 pq = 1\) & \(p^2 - q^2 = 0\) ⇒ \(p^2 = (\frac1{2p})^2 = 0\) ⇒ \(p^2 - \frac1{4p^2} = 0\) ⇒ \(p^4 - \frac14 = 0\) ⇒ \(p^2 = \sqrt{\frac14} = \pm \frac12\) \(\therefore p = \pm \frac1{\sqrt2}\) \((\because p \in R,\, \therefore p^2 \ge 0)\) ⇒ \(q = \frac1{2p} = \pm \frac1{2\sqrt 2}\) \(\therefore i^\frac12 = \frac1{\sqrt 2}(1 + \frac\iota2) \; or\; i^\frac12= \frac{-1}{\sqrt2}(1+ \frac\iota2)\) Now, \(i^\frac12 + (-i)^\frac12 = i^\frac12 + i^\frac12(-1)^\frac12\) \((\because (ab)^m = a^m b^m)\) \(= i^\frac12(1 + i) \) \((\because \sqrt{-1} = i)\) \(=\frac1{\sqrt2} (1 + \frac\iota 2) (1 + \iota)\) \(= \frac1{\sqrt 2}(1 + \frac{3\iota}2 - \frac12)\) \(= \frac1{2\sqrt 2} + \frac{3\iota}{2\sqrt2}\) or \(i^\frac12 + (-i)^\frac12 = i^\frac12 (1 + i)\) \(= -\frac1{\sqrt2} (1 + \frac i2) (1 + i)\) \(= -\frac1{\sqrt2} (\frac12 + \frac{3i}2)\) \(= \frac{-1}{2\sqrt 2} - \frac{3i}{2\sqrt2}\) Hence, \(i^\frac12 + (-i)^\frac12 = \frac1{2\sqrt2} + \frac{3i}{2\sqrt2}\) or \( \frac{-1}{2\sqrt2} - \frac{3i}{2\sqrt 2}\). |
|
| 4. |
A ball is thrown vertically upwards from the ground It crosses a point at the height of `25 m` twice at an interval of `4 secs`. The ball was thrown with the velocity of.A. `20m//s`B. `25m//s`C. `40m//s`D. `30m//s` |
|
Answer» Correct Answer - D A ball is ……….. `S = 25m`, u = ? `t_(Q) = t_(1) =4s` `a = 10m//s^(2)` `S = ut + (1)/(2)at^(2)` `25 = ut + (1)/(2) (-10)t^(2)` `5t^(2) - ut+25=0` `t_(1) +t_(2) = (u)/(5)` `t_(1)t_(2) =5` now `t_(Q) - t_(1) = sqrt((t_(1)+t_(2))^(2) -4t_(1)t_(2))` `4 = sqrt(((u)/(5))^(2) - 4xx5)` `u = 30m//s` |
|
| 5. |
A ball is thrown vertically upwards from the ground It crosses a point at the height of `25 m` twice at an interval of `4 secs`. The ball was thrown with the velocity of.A. `20m//sec`.B. `25m//sec`.C. `30m//sec`.D. `35m//sec`. |
|
Answer» Correct Answer - C Let `u` be velocity of ball with which it is thrown. `rArru(6)+(1)/(2)a(6)^(2)=420` `rArr u+3a=70` ....`(ii)` `h=ut+(-(1)/(2)g t^(2))25=ut-5t^(2)` `5t^(2)-ut+25=0` Let `t_(1),t_(2)` be its roots `t_(1)+t_(2)=u//5,t_(1)t_(2)=5` Given, `t_(2)-t_(1)=4sec`. `(t_(2)-t_(1))^(2)=16` `rArr(t_(2)+t_(1))^(2)-4t_(1)t_(2)=16` `((u)/(5))^(2)-4xx5=16u=30m//sec.` |
|
| 6. |
A ________ must contain a subject and a verb. a) Word b) Sentence c) Phrase |
|
Answer» b) Sentence A Sentence must contain a subject and a verb. |
|
| 7. |
4/2 + 7/4 |
|
Answer» \(\frac{4}{2} + \frac{7}{4}\) = \(\frac{8 + 7}{4}\) = \(\frac{15}{4}\) |
|
| 8. |
It includes a series of postures and breathing exercises practiced to achieve control of body and mind. a. Physical exercises b. Meditation c. Enjoying d. Yoga |
|
Answer» Correct answer is d. Yoga |
|
| 9. |
You can also press ________on the keyboard to create a new document |
|
Answer» You can also press Ctrl + N on the keyboard to create a new document |
|
| 10. |
_______ guides independent individuals as it helps them consider long term consequences rather than just transient feelings. a) Self-regulation b) Self – awareness c) Self-motivation |
|
Answer» a) Self-regulation Self-regulation guides independent individuals as it helps them consider long term consequences rather than just transient feelings. |
|
| 11. |
A ________ is a software that helps you type and work with text on a computer. a) Power point b) Word processor c) Adobe |
|
Answer» b) Word processor A Word processor is a software that helps you type and work with text on a computer. |
|
| 12. |
________ is a school of Hindu philosophy reduces stress, which includes a series of postures and breathing exercises practiced to achieve control of body and mind. a) Yoga b) Meditation c) Physical exercise |
|
Answer» a) Yoga Yoga is a school of Hindu philosophy reduces stress, which includes a series of postures and breathing exercises practiced to achieve control of body and mind. |
|
| 13. |
______is a school of Hindu philosophy reduces stress, which includes a series of postures and breathing exercises practiced to achieve control of body and mind. |
|
Answer» Yoga is a school of Hindu philosophy reduces stress, which includes a series of postures and breathing exercises practiced to achieve control of body and mind. |
|
| 14. |
Jack finished the assignment quickly and ______. A) correctly B) correct C) rapid D) hardly |
|
Answer» Correct option is A) correctly |
|
| 15. |
____ has enough natural resources so as to be practically self-sufficient in the event of war. A) Our country which B) Only when our country C) Our country D) If our country |
|
Answer» Correct option is C) Our country |
|
| 16. |
I wish he _______ to Tokyo with me last weekend. A) came B) would come C) had come D) could come |
|
Answer» Correct option is C) had come |
|
| 17. |
It includes rocks and soil found on the surface of the earth. Identify: a) lithosphere b) hydrosphere c) biosphere d) environment |
|
Answer» Correct answer is a) lithosphere |
|
| 18. |
He thought he ________ able to find more information on British imperialism. A) will be B) would be C) is D) was |
|
Answer» Correct option is B) would be |
|
| 19. |
After Jack ________ his poem, he decided not to show it to anybody. A) finishing B) had finished C) was finishing D) has finished |
|
Answer» Correct option is B) had finished |
|
| 20. |
He is sad because he ________ some money. A) lost B) had lost C) has lost D) was lost |
|
Answer» Correct option is C) has lost |
|
| 21. |
When I arrived home at 7 o’clock, I was very surprised. Everybody ________ out. A) were B) has gone C) had gone D) is |
|
Answer» Correct option is C) had gone |
|
| 22. |
Write the meaning of excess demand and deficient demand? |
|
Answer» If the equilibrium level of output is more than the full employment level, it is due to the fact that the demand is more than the level of output produced at full employment level. This situation is called excess demand. If the equilibrium level of output is less than the full employment of output, it is due to fact that demand is not enough to employ all factors of production. This situation is called deficient demand. |
|
| 23. |
Write the equation of GDPMP and GDPFC. |
|
Answer» The equations of GDP and market prices (GDPMP), and GDP at factor cost (GDPFC) are as follows: GDPMP = C + I + G + X-M Where, C is consumption expenditure, I is ainvestment expenditure; G is government’s consumption and investment expenditure; X is exports and M is imports. GDPFC = GDPMP – NIT (where, NIT is net indirect taxes). |
|
| 24. |
Write the difference between nominal and real GDP. |
||||||||
Answer»
|
|||||||||
| 25. |
If we don’ t hurry, the wedding ______ before our arrival. A) took place B) will have taken place C) takes place D) should have taken place |
|
Answer» Correct option is B) will have taken place |
|
| 26. |
State the meaning of average revenue and marginal revenue. |
|
Answer» Marginal revenue of a firm is defined as the increase in total revenue for a unit increase in the firm’s output. It is obtained by dividing the change in total revenue (∆TR) by change in quantity (∆q). Thus, MR = ∆TR/∆q. Average revenue: We calculate average revenue, by dividing total revenue by the quantity sold. The following formula used: AR = TR/q. |
|
| 27. |
Distinguish between stock and flow. Give example. |
||||||
Answer»
|
|||||||
| 28. |
At least half a dozen people ______ (watched without doing anything) while the man was being attacked. A) looked at B) looked on C) looked over D) looked into |
|
Answer» Correct option is B) looked on |
|
| 29. |
They never ______ the packages that they ______. A) had received / had ordered B) received / ordered C) received / had ordered D) received / has ordered |
|
Answer» Correct option is C) received / had ordered |
|
| 30. |
They can’t promise _____ the work today. A) finish B) finishing C) finished D) to finish |
|
Answer» Correct option is D) to finish |
|
| 31. |
Explain the TP, AP, and MP with examples. |
|
Answer» 1. Total product (TP): It refers to the aggregate output produced with the help of factor inputs during a particular period of time. It is obtained by adding the marginal product contributed by each input. For example, combination of 2 factors used to produce output is added to find the total product. Suppose factor 2 is fixed at 4 units where factor 2 takes the value of 4 and so on. TP = ΣMP, where Σ is the summation, MP is marginal product. 2. Average product (AP): Average product is an unit of output which is produced per unit input. It is calculated by dividing the total product with the help of variable inputs. AP = TP/L where TP is total product and L is the variable factor input (e.g. labour) For instance, to produce 50 units of shirts, 5 labourers are used. Here the average product of each variable input, i.e. labour is as follows: AP = TP/L = 50/5 = 10 units. 3. Marginal product (MP): Marginal product refers to additional unit of output produced with the help of additional unit of input of labour or capital. In other words, marginal product of an input is defined as the change in output per unit of change in one of the inputs when all the other inputs are held constant. We can calculate MP with the help of following formula: MP = TPn – TPn-1 or MP = Change in output(Δq)/Change in input(ΔL) Where, MP is marginal product, TPn is total product of ‘n’ units and TPn-1 is total product of previous unit of output. For example, if five units of labour one used to produce 25 shirts and 6 labourers are used to produce 28 shirts the marginal product is 3 shirts (28 – 25 = 3). |
|
| 32. |
You’ve made a very ________ decision. Any reasonable person would have done the same thing. A) sensational B) sensed C) sensible D) sensitive E) sentimental |
|
Answer» Correct option is C) sensible |
|
| 33. |
I’m _____. There’s nothing to do. A) annoyed B) interested C) kind D) fed up |
|
Answer» Correct option is D) fed up |
|
| 34. |
There's nothing on the television tonight. A) tax B) tube C) time |
|
Answer» Correct option is B) tube |
|
| 35. |
How nominal exchange rate is different from real exchange rate? |
||||||||
Answer»
|
|||||||||
| 36. |
The water here is very ________. You can get across the stream on foot. A) broad B) flat C) narrow D) pure E) shallow |
|
Answer» Correct option is E) shallow |
|
| 37. |
Write the negation of the following.Nadia is intelligent and he is hard working. |
|
Answer» Let p : Nadia is intelligent. q : Nadia is hard working. The given statement is p ∧ q. Its negation is ~(p ∧ q) ≡ ~ p ∨ ~ q ∴ The negation of the given statement is ‘Nadia is not intelligent or he is not hard-working.’ |
|
| 38. |
Distinguish between direct and indirect taxs. |
||||||||
|
Answer» The differences between direct and indirect taxes are as follows:
|
|||||||||
| 39. |
What is the difference between narrow money and broad money? |
||||||||
|
Answer» The differences between narrow money and broad money are as follows:
|
|||||||||
| 40. |
What are the features of simple monopoly in the commodity market? |
|
Answer» The features of simple monopoly in the commodity market are as follows:
|
|
| 41. |
Mention the methods of calculating the national income. |
|
Answer» There are three methods to calculate national income, viz. 1. The product or value-added method. 2. Expenditure method. 3. Income method. |
|
| 42. |
Between net investment and capital which is a stock and which is a flow? Compare with the flow of water and a tank. |
|
Answer» Between net investment and capital, capital is stock and net investment is flow. The stock economic and flow economic variables can be better understood with the help of an example. Suppose a tank is being filled with water coming from a tap. The amount of water which is flowing into the tank from the tap per minute is the flow. The quantity of water that existed at a particular point of time is considered as stock. The above example can be compared with net investment and capital. Here, the capital is compared to the water that existed at a particular point of time. The capital is the stock of capital goods existed at a particular period of time. The net investment is compared to the flow of water into a tank. Here, the net investment is considered as the investment which is made during a year to replace the wear and tear of capital goods. |
|
| 43. |
________ is the excess amount over the requirement for regular working capital. A. Variable working capital B. Fixed working capital C. Reserve working capital D. Regular working capital |
|
Answer» C. Reserve working capital |
|
| 44. |
___________ is required to meet special exigencies such as launching of extensive marketing campaigns for conducting research. A. Seasonal working capital B. Special working capital C. Reserve working capital D. Regular working capital |
|
Answer» B. Special working capital |
|
| 45. |
The working capital required to meet the seasonal need of the business is called _______. A. Fixed working capital B. Variable working capital C. Special working capital D. Seasonal working capital |
|
Answer» D. Seasonal working capital |
|
| 46. |
Which of the following illustrates the use of a hedging (or matching) approach to financing? |
|
Answer» Permanent working capital financed with long-term liabilities. |
|
| 47. |
DOS is a/an…… . A. Operating system B. Compiler C. Editor D. Inter preter |
|
Answer» Correct option is: A. Operating system |
|
| 48. |
LIKE % clause helps to …… table data. A. Summarize B. Sort C. Filter D. List |
|
Answer» Correct option is: C. Filter |
|
| 49. |
The state-variable filter a. Has a low-pass, high-pass, and bandpass output b. Is difficult to tune c. Has high component sensitivity d. Uses less than three op amps |
|
Answer» (a) Has a low-pass, high-pass, and bandpass output |
|
| 50. |
Cyber law is related with ? A. Hardware Protection B. Server Protection C. Internet access Protection D. Online Fraud & Crime Control |
|
Answer» Correct option is: D. Online Fraud & Crime Control |
|