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. |
In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by 6. The revised scores of Anjali, Mohan, and Rama were in the ratio 11 : 10 : 3. Then Anjali's score exceeded Rama's score by1. 322. 353. 244. 26 |
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Answer» Correct Answer - Option 1 : 32 Calculation: Let the score of Rama, Mohan and Anjali be ‘x’, ‘y’ and ‘z’ respectively According to the question, ⇒ x = 1/12 × (y + z) ⇒ 12x = y + z ….(i) Let the scores of Anjali, Mohan and Rama after increment of 6 be 11p, 10p and 3p ⇒ 11p = z + 6 ⇒ z = 11p – 6 ⇒ 10p = y + 6 ⇒ y = 10p – 6 ⇒ 3p = x + 6 ⇒ x = 3p – 6 Put the value of x, y and z in equation (i) ⇒ 12(3p – 6) = 10p – 6 + 11p – 6 ⇒ 36p – 72 = 21p – 12 ⇒ 36p – 21p = 72 – 12 ⇒ 15p = 60 ⇒ p = 4 So, difference between Anjali’s and Rama’s score ⇒ 11p – 3p = 8p Put the value of ‘p’ ⇒ Difference between Anjali’s and Rama’s score = 8 × 4 = 32 ∴ Anjali's score exceeded Rama's score by 32 |
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| 2. |
An urn contains 4 white and 3 red balls. Let X bethe number of red balls in a random draw of three balls. Find the mean andvariance of X. |
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Answer» There are 4 cases here. `Case 1:` When no red ball is drawn. All drawn balls are white.Then, `P(X=0) = (C(4,3)**C(3,0))/(C(7,3)) = (4**1)/((7**6**5)/(3**2**1)) = 4/35` `Case 2:` When one red ball is drawn. Other two drawn balls are white.Then, `P(X=1) = (C(4,2)**C(3,1))/(C(7,3)) = (6**3)/35 = 18/35` `Case 3:` When two red balls are drawn.Third ball is white.Then, `P(X=2) = (C(4,1)**C(3,2))/(C(7,3)) = (4**3)/35 = 12/35` `Case 4:` When no white ball is drawn. All drawn balls are red.Then, `P(X=3) = (C(4,0)**C(3,3))/(C(7,3)) = (1**1)/35 = 1/35` `:.` Mean, `E(X) = sum x_iP(x=x_i) = 0**4/35+1**18/35+2**12/35+3**1/35` `=>E(X) = 18/35+24/35+3/35 = 45/35 = 9/7` Now, Variance`(sigma^2) = E(X^2) - (E(X))^2` `=>sigma^2 = sumx_i^2P(x=x_i) - (E(X))^2` `=>sigma^2 = 0**4/35+1**18/35+4**12/35+9**1/35-(9/7)^2` `=>sigma^2 = 0+18/35+48/35+9/35-81/49 = 75/35-81/49` `=>sigma^2 = 15/7-81/49 = (105-81)/49 = 24/49` So, Mean is `9/7` and variance is `24/49`. |
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| 3. |
If `A=[[1, 2],[ 4, 2]],` then find the value of `k` if `|2A|=k |A|` |
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Answer» `A = [[1,2],[4,2]]` `2A = [[2,4],[8,4]]` `|A| = 2-8 = -6` `|2A| = 8-32 = -24` We are given, `|2A| = k|A|` `:. -24 = k**(-6)` `=> k = 4` |
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| 4. |
Prove that: `tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))]=pi/4-1/2cos^(-1)x , -1/(sqrt(2)) lt=x lt=1` |
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Answer» `L.H.S. = tan^-1[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))]` `=tan^-1[(sqrt(1+x)(1-sqrt(1-x)/sqrt(1+x)))/(sqrt(1+x)(1+sqrt(1-x)/sqrt(1+x)))]` `=tan^-1[(1-sqrt(1-x)/sqrt(1+x))/(1+sqrt(1-x)/sqrt(1+x))]` As, `tan^-1x-tan^-1y = (x-y)/(1+xy)` So, our expression becomes, `=tan^-1(1)+tan^-1(sqrt(1-x)/sqrt(1+x))` `=pi/4+1/2(2tan^-1(sqrt(1-x)/sqrt(1+x)))` Also, `2tan^-1y = cos^-1((1-y^2)/(1+y^2))` So, our expression becomes, `= pi/4+1/2cos^-1((1-(sqrt(1-x)/sqrt(1+x))^2)/(1+(sqrt(1-x)/sqrt(1+x))^2))` `=pi/4+1/2cos^-1((1+x-1+x)/(1+x+1-x))` `=pi/4+1/2cos^-1((2x)/2)` `=pi/4+1/2cos^-1(x)=R.H.S.` |
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| 5. |
A pair of dice is thrown 4 times. If getting adoublet is considered a success, find the probability distribution of numberof successes. |
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Answer» Total outcomes=36 Probability of success=P=6/36=1/6 Probability of failure=Q=30/36=5/6 X=no. of times we get a doublet `P(x=0)=4C_0(1/6)^0(5/6)^4=625/1296` `P(x=1)=4C_1(1/6)^1(5/6)^3=500/1296` `P(x=2)=4C_2(1/6)^2(5/6)^2=150/1296` `P(x=3)=4C_3(1/6)^3(5/6)^1=20/1296` `P(x=4)=4C_4(1/6)^4(5/6)^0=1/1296` |
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| 6. |
A pair of dice is thrown 4 times. If getting a doubletis considered a success, find the probability distribution of the number ofsuccesses and hence find its mean. |
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Answer» `P(S=0)=5/6*5/6*5/6` `P(S=1)=3C_1*5/6*5/6*5/6` `P(S=2)=3c_2*5/6*1/6*1/6` `P(S=3)=1/6*1/6*1/6` Mean=`sumP(6)S` `=P(s=0)*0+P(s=1)*1+P(s=2)*8+P(s=3)*3` `=0+(3*5*5)/(6*6*6)+(3*5*1*2)/(6*6*6)+(3*1)/(6*6*6)` `(75+30+3)/(216)=108/216=1/2` |
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| 7. |
Aman and Mathu started a business with initial capital of Rs.30000 and Rs.40000 respectively. They decided that Aman being the working partner will get 10% of the profit over the top and then the rest will be divided in the capital ratio. If the difference between their profits at the end of the year is Rs.1000, what was the total profit?1. 340002. 430003. 350004. 530005. 36000 |
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Answer» Correct Answer - Option 3 : 35000 Given: Initial investment of Aman and mathu is 30000 and 40000 respectively. Difference between their profits at the end of the year = 1000 Formula used: Profit = total profit × (part share / total share) Calculation: Let us assume the total profit = 100x Aman’s share for being the working partner = 100x × 10/100 = 10x Rest (100x – 10x) = 90x will be divided in the ratio = 30000 : 40000 = 3 : 4 Aman’s total payout = [10x + (90x × 3/7)] Mathu’s total payout = (90x × 4/7) ATQ, (90x × 4/7) - [10x + (90x × 3/7)] = 1000 ⇒ 90x × 1/7 – 10x = 1000 ⇒ 20x/7 = 1000 ⇒ 100x = (1000 × 7 × 100)/20 = 35000 ∴ Total profit = Rs. 35000 |
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| 8. |
It’s a piece of clothing that covers the lower part of your body, with a separate part covering each leg |
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Answer» Correct answer is trousers |
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| 9. |
Trousers or a skirt with a matching jacket is called a ___ |
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Answer» Correct answer is suit |
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| 10. |
_____ is a piece of clothing for girls and women that fits around the waist and hangs down like a dress. A) skirt B) trousers C) blouse D) jacket |
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Answer» Correct option is A) skirt |
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| 11. |
______ is a piece of clothing that covers the lower part of your body, with a separate part covering each leg. A) trousers B) skirt C) blouse D) boot |
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Answer» Correct option is A) trousers |
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| 12. |
______ is a cotton shirt with short sleeves and no collar. A) blazer B) shirt C) jacket D) t-shirt |
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Answer» Correct option is D) t-shirt |
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| 13. |
______ is a narrow piece of cloth that you wear around your neck with a skirt. A) blazer B) tie C) trousers D) blouse |
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Answer» Correct option is B) tie |
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| 14. |
______ are light trousers and a shirt that you wear in bed. A) pajamas B) swimsuit C) suit D) blouse |
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Answer» Correct option is A) pajamas |
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| 15. |
______ is a kind of shoe that covers your whole foot and the lower part of your leg, especially worn in winter. A) shoe B) socks C) slippers D) boot |
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Answer» Correct option is C) slippers |
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| 16. |
______ is a short coat. A) blazer B) jacket C) suit D) blouse |
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Answer» Correct option is A) blazer |
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| 17. |
______ is a shirt for women. A) skirt B) t-shirt C) blouse D) blazer |
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Answer» Correct option is C) blouse |
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| 18. |
What four practices you will follow to keep your kitchen free from pests? |
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Answer» Four practices to be followed to keep the kitchen free from pests- 1. Insecticides/pesticides should be sprayed periodically. 2. Drains should have cockroach traps. 3. Windows and doors should be fitted with wire mesh. 4. Floors and walls should be without cracks. 5. Surfaces should be kept free from grease and cleaned frequently. |
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| 19. |
We ________ to London last Monday. A) can drive B) will drive C) drove D) had driven |
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Answer» Correct option is C) drove |
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| 20. |
You should always check your tires before ______ your car. A) drive B) driving C) you drove D) you’ re driving |
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Answer» Correct option is B) driving |
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| 21. |
Flipkart is an E-commerce company based in (a) USA (b) UK (c) Germany (d) India |
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Answer» Correct option: (d) India |
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| 22. |
He prefers walking to _____. A) driving B) drive C) drives D) drove |
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Answer» Correct option is A) driving |
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| 23. |
In Britain people _____ on the right. A) are driving B) drives C) drive D) drove |
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Answer» Correct option is C) drive Drive is the correct answer |
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| 24. |
You should always check your tires before _____ your car. A) drive B) driving C) you drove D) you’re driving |
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Answer» Correct option is B) driving |
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| 25. |
If they stand up, we ________ see the screen. A) doesn’t B) won’t be able to C) haven’t to D) aren’t |
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Answer» Correct option is B) won’t be able to |
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| 26. |
If people ________ , he will feel bad. A) will laugh B) wouldn’t laughed C) laugh D) would laugh |
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Answer» Correct option is C) laugh |
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| 27. |
Which of the following stores sells a number of brands under one roof and the store is divided into various departments ? (a) Convenience store (b) Departmental store (c) Chain store (d) Cooperative store |
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Answer» Correct option: (b) Departmental store |
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| 28. |
Effective territory design and allocation of salespeople to territories results in (a) Improved sales force performance (b) Improved company performance (c) Both (a) and (b) (d) None of the above |
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Answer» Correct option: (c) Both (a) and (b) |
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| 29. |
Few articles are missing in the given passage. Edit the passage given below by adding suitable articles wherever necessary.My neighbourhood is very interesting place. My house is located in apartment building downtown near many stores and offices. There is small supermarket across street, where * my family likes to go shopping. There is also post office and bank near our home. In our neighbourhood there is small, Green Park where my friends and I like to play on weekends and holidays.There is small pond near park and there are many ducks in park. We always have great time. In addition there is elementary school close to our home where my little brother studies in third grade. There are so many things to see and do in my neighbourhood that’s why I like it. It’s really great place. |
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Answer» My neighbourhood is a very interesting place. My house is located in an apartment building downtown near many stores and offices. There is a small supermarket across the street, where my family likes to go shopping. There is also a post office and a bank near our home. In our neighbourhood there is a small, Green Park where my friends and I like to play on weekends and holidays. There is a small pond near the park and there are many ducks in the park. We always have a great time. In addition there is an elementary school close to our home where my little brother studies in third grade. There are so many things to see and do in my neighbourhood. That’s why I like it. It’s really a great place. |
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| 30. |
The theater seems ________ small for all the people. A) to B) to be too C) it’s to D) too much |
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Answer» Correct option is B) to be too |
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| 31. |
If I had a car, I ________ to the theater. A) drive B) would drive C) would drove D) drives |
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Answer» Correct option is B) would drive |
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| 32. |
Sales managers find the task of motivating salespeople difficult and important due to (a) Changes in marketing environment (b) Conflicting company objectives (c) Unique nature of the sales job (d) All of the above |
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Answer» Correct option: (d) All of the above |
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| 33. |
Mahima has joined a restaurant as a chef. Which rules she must follow while working in the kitchen? i. Nails should be trimmed ii. Wearing necklace iii. No wrist watch iv. Torn clothes Choose the correct option. a. i and iv b. i and iii c. ii and iii d. iii and iv |
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Answer» correct option is b. i and iii |
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| 34. |
The theater is located ______. A) downtown B) to downtown C) in downtown D) into downtown |
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Answer» Correct option is A) downtown |
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| 35. |
Which element of marketing mix is closely associated with newsletters, catalogs and invitation to the organization? |
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Answer» Correct answer is Promotion. |
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| 36. |
Which would not be a factor of demographic segmentation: a) Age group;b) Income level; c) Business markets; d) Occupational structure |
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Answer» Correct answer is c) Business markets; |
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| 37. |
Expalin the meaning of the term vanigam |
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Answer» Activities involving distribution of goods and services. |
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| 38. |
Which P is a complex of tangible and intangible attributes, including packaging, colour and services that satisfy needs and wants of people? a. price b. product c. Promotion d. Place |
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Answer» Correct option: B) Product |
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| 39. |
Who said, “Product is a complex of tangible & intangible attributes, including packaging, color, Price, Prestige & services that satisfy needs & wants of people”? a) Philip Kotler b) William J. Stanton c) Peter Druckerd) Jonah Berger |
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Answer» Correct option: b) William j. Stanton |
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| 40. |
Discuss the advantages of a paid form of non-personal presentation and promotion of ideas, goods, or services by an identified sponsor. |
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Answer» 1) Appeals to the customers 2) Realistic |
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| 41. |
Bindu utsarjan samjhaye biology |
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Answer» use Parivartan aisi prakriya hai jo DNA ke anukraman mein Badla hone Se utpann Hoti Hai Jiske Karan Ji jinotypratham Main Parivartan a Jata Hai DNA mein vividhta lati hai |
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| 42. |
Shifting of an employee from one job to another is called |
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Answer» Shifting of an employee from one job to another is called Job rotation. |
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| 43. |
Explain the concept of ‘fiscal deficit’ in a government budget. What does it indicate? |
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Answer» The difference between total revenue and total expenditure of the government is termed as fiscal deficit. It is an indication of the total borrowings needed by the government. While calculating the total revenue, borrowings are not included. The gross fiscal deficit (GFD) is the excess of total expenditure including loans net of recovery over revenue receipts (including external grants) and non-debt capital receipts. The net fiscal deficit is the gross fiscal deficit less net lending of the Central government. Generally fiscal deficit takes place either due to revenue deficit or a major hike in capital expenditure. Capital expenditure is incurred to create long-term assets such as factories, buildings and other development. A deficit is usually financed through borrowing from either the central bank of the country or raising money from capital markets by issuing different instruments like treasury bills and bonds. |
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| 44. |
In chak de movie, Shahrukh khan becomes the coach of the girls hockey team.what are all the types of plan mentioned above |
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Answer» 1. Objective: '.... bring the world cup after winning.' 2. Strategy: 'For this he prepares a long-term plan and thinks the ways how to beat the competitors.' 3. Method: 'He coaches the girls to pay in different ways like defensive, offensive, etc.' 4. Procedure: 'At the outset of a match he explains who will open the match, and how the ball will be passed by one player to another step by step.’ |
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| 45. |
She divided the work among her subordinates in accordance with their interest and ability.It was found Mr.Raj didn't achieve the target. She asked him the reason within two days. With which concept of management the conversation between Miss.Bindu and Mr.Raj referred to in the above paragraph is related.Identify it. |
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Answer» Accountability |
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| 46. |
State three sources each of revenue receipts and capital receipts in government budget. |
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Answer» Sources of revenue receipts are direct taxes,indirect taxes and dividend from public sector undertakings,etc. Three sources of capital receipts are: Borrowings and other liabilities,recovery of loans and sale of shares of public sector undertakings. |
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| 47. |
State three sources each of revenue receipts and capital receipts in government budget. |
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Answer» Sources of revenue receipts are direct taxes,indirect taxes and dividend from public sector undertakings,etc. Three sources of capital receipts are: Borrowings and other liabilities,recovery of loans and sale of shares of public sector undertakings. |
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| 48. |
State the first four steps which are involved in the screen based trading for buying & selling of securities in the secondary market. |
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Answer» Following are the first four steps in the screen-based trading for buying and selling of securities in the secondary market: a. The investor has to approach a registered broker or sub-broker and sign a broker-client agreement and a client registration form before placing an order to buy or sell securities. b. The investor has to open a “demat” account or “beneficial owner” account with a depository participant for holding and transferring securities in the demat form. c. The investor then places an order with the broker to buy or sell shares, the broker will go ahead with the deal and issue the order confirmation slip to the investor. d. The broker then will go on-line and connect to the main stock exchange and match the share and best price available. |
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| 49. |
Tax rates on higher income group have been increased. Which economic value does it reflect? Explain. |
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Answer» This will reduce the inequalities of income as the difference between disposable incomes of higher income and lower income groups will fall. This will also provide more resource to the government for spending on welfare of the poor. |
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| 50. |
What are revenue receipts in a government budget? |
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Answer» Revenue receipts are the receipts which neither reduce assets nor increase liabilities. |
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