# [Top 50] Quantitative Analysis – Interview Questions and Answers

Quantitative analysis is commonly used in various fields, such as finance, economics, market research, and scientific research. It allows researchers and analysts to quantify relationships, identify patterns, and test hypotheses using objective and measurable data.

It’s important to note that quantitative analysis is just one aspect of data analysis. It is often complemented by qualitative analysis, which involves analyzing non-numerical data such as text or images.

By conducting quantitative analysis, you can gain a deeper understanding of the data, uncover relationships and trends, make informed decisions, and support evidence-based conclusions or recommendations.

Here’s a list of potential interview questions that could be asked during a quantitative analysis interview:

1. Anita and Shina can complete a work together in 60 days. If Shina is thrice as efficient as Anita, then how many days Anita will take to complete the work alone?

Ans: 240 days

2. Astha and Vidya can finish a work in 18 days and 36 days respectively. They finished the work together and were paid Rs. 1020. What would be the share of Astha if it depends on their work efficiency?

Ans: Rs. 680

3. Garima and Tanu started walking from the opposite ends of a linear track “XY” of 800 m. If both of them meet at 560 m from point X, then determine the ratio of their speeds (in order).

Ans: 7 : 3

4. Susan, Ella, and Dolly can together complete a task in 10 days; Ella, Dolly, and Kate can together complete it in 15 days; and Ella and Dolly take 30 days to complete the same task. Determine the number of days that all the 4 girls will take to complete the task while working together.

Ans: 7.5 days

5. Larry and Peter start running on a circular track (132 m) from the same point, at the same time and in the same direction. Larry runs faster than Peter and overtakes him in the middle of his 4th round. If they compete in a 2.1 km race, then how much head start should be given to Peter such that they complete the race at the same time?

Ans: 600 m

6. When an article was sold for Rs. 500, the profit percent was 25%. Determine the cost price of the article.

Ans: Rs. 400

7. If the cost price of a product is Rs. 1,000, the markup is 50% and the discount is 10%, then determine the selling price.

Ans: Rs. 1,350

8. An article was purchased for Rs. 6,500 and was sold after two successive discounts of 10% and 20% respectively. Determine the selling price of the article.

Ans: Rs. 4680

9. Sara bought a handbag and a mobile phone for Rs. 80,000. She sold the handbag at a profit of 25% and the mobile phone at a loss of 6%, thereby gaining 8% on the whole. Determine the cost of the handbag.

Ans: Rs. 36,130

10. Determine the Principal borrowed when the difference between the compound interest and the simple interest on it at 25% p.a. for 2 years is Rs. 350.

Ans: Rs. 5,600

11. Determine the sum for which the difference in the compound interest and simple interest at 50% p.a. for 2 years is Rs. 700.

Ans: Rs. 2,800

12. Determine the value of “n” for the following series when the sum of its “n” terms is 630.
6, 12, 18, 24, 30, _ _ _ _

Ans: 14

13. Which of the following is the smallest number?

Ans: 40% of 1000

14. Determine the approximate amount of wheat W1 costing Rs. 4.70 that must be mixed with 28 kg of wheat W2 costing Rs. 5.20 in order to gain 48% on selling the resultant mixture at Rs. 3.33 per kg.

Ans: 32 kg

15. Karl’s commission on sales is 10% on all sales upto Rs. 15,000 and 7% on the amount above that. If he remits Rs. 55,350 to his organization after deducting his commission, then determine the total sales.

Ans: Rs. 60,000

16. A student scored 53%, 64%, 87%, 58%, and 38% marks in 5 subjects of an exam with 100, 110, 120, 140, and 150 respectively as maximum marks. Determine his aggregate percentage.

Ans: 59%

17. In a University of 6000 students, 65% are males out of which 20% are pursuing post graduation. If there are 30% students in all that are pursuing post graduation from the University, then what percent of females are pursuing post graduation from the University?

Ans: 49%

18. Amita, Bani, and Chaya enter into a partnership by investing in the ratio 3 : 4 : 5. After a year, Bani invests additional Rs. 18,000 while Chaya, at the end of 2 years, also invests Rs. 18,000. If at the end of 3 years, the profits are shared in the ratio 12 : 25 : 29, then determine the total investment of Bani.

Ans: Rs. 50,000

19. Determine the sum of all the terms of the following series.
16, 20, 24, _ _ _ _ _, 232, 236

Ans:7056

20. Determine the sum of first 20 terms of the following series.
0, 1, 2, 2, 6, 4, 12, 8, 20, 16,_ _ _ _

Ans: 1353

21. 8 litres of a salt solution containing 15% salt is mixed with 4 litres of a salt solution containing 20% salt. If 2000 cm3 salt is also added to the mixture, then what is the quantity of salt in the given mixture rounded off to the nearest integer?

Ans:29%

22. During its Mega Sale Season, Woolland gives its customers three consecutive discounts of 15%, 25%, and 20% on Product “A” and still makes a profit of 20% on the C.P. Determine the profit percentage that Woolland would have earned if it had given discounts of 15% and 25% only.

Ans:50%

23. If (a2 + b2) = 100 and a = -8, then determine the value of (a + b)3 for b < 0.

Ans: -2744

24. If LCM and HCF of two numbers are 900 and 30 respectively and one of the numbers is 180, then determine the other number.

Ans: 150

25. If (m2 – 4m – 1) = 0, then determine the value of (m + m-1).

Ans: -2√3

26. Determine the remainder when the polynomial (6x3 + 11x2 – 10x + 30) is divided by (2x + 1).

Ans: 37

27. The difference between a two-digit number and number obtained by interchanging its digits is 36. Determine the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 3 : 1.

Ans: 4

28. A book was printed with the numbering of its pages starting with 1. If a total of 5325 digits were used to number all the pages of the book, then how many pages does the book have?

Ans: 1608

29. Determine the remainder when 973476 is divided by 7.

Ans: 1

30. Determine the sum of all the factors of 3800.

Ans: 9300

31. If value of tan θ = 3/4, then calculate the value of Cos θ. (Given: θ lies in the III quadrant)

Ans: -4/5

32. If the difference between the length and breadth of a rectangle is 15 m and its area is 450 m2, then calculate the perimeter of the rectangle.

Ans: 90 m

33. Calculate the value of [Sin 105o + Cos 105o].

Ans: 1/√2

34. A right-angled triangle with sides 14 cm, 48 cm and 50 cm is rotated along its base (14 cm) with the 48 cm side as its axis to form a cone. Determine the approximate volume of the cone so formed. (rounded off to nearest integer)

Ans: 9852 cm3

35. The circle x2 + y2 – 20x = 0 has y = x as a chord passing through it. Find the equation of the circle with this chord as its diameter.

Ans: x2 + y2 – 10x – 10y = 0

36. An equilateral triangle is inscribed in the parabola y2 = 8x such that one vertex of the triangle is at the vertex of the parabola. Find the length of the side of the triangle.

Ans: 16√3 units

37. Determine the approximate area of the sector which subtends an angle of 47o and radius of the circle of which it is a part is 7 cm. (Take π = 22/7)

Ans: 20 cm2

38. Determine the probability of drawing a Jack of Spade or a Ace of Diamond from a deck of 52 cards.

Ans: 1/26

39. If 25% of the people in an office like only hot coffee and 40% like only cold coffee, then how many like both hot coffee and cold coffee? (It is known that everyone in the office likes either cold coffee or hot coffee or both).

Ans: 35%

40. Determine the probability of obtaining a head in the first toss and a tail in the second and third toss of the coin.

Ans: 1/8

41. Two people Rayaan and Shakil are invited to attend a party. The probability of Rayaan and Shakil going to the party is 0.25 and 0.5 respectively. If the probability of both of them going together is 0.15, then what is the probability that neither of them go to the party?

Ans: 0.40

42. A bag contains 20 mangoes and 30 oranges out of which 50% of both mangoes and oranges are sour. Two fruits are taken out of the bag at random. What is the probability that either both are oranges or both are sour?

Ans: 0.51

43. Given below is the net property of five MLAs during the period in which they were elected(In lakhs). Study the following data and answer the questions that follow. What is the percentage increase in the net property of Mr. B since 2012-13 to 2014-15?

Ans:12.5%

44. What is the approximate average of the total property(in lakhs) that has been maintained by Miss E between 2012-13 to 2014-15?

Ans: 620

45. What is the average of the total assets maintained by all the MLAs in the year 2011-12?

Ans: 150

46. In the year 2014-15, which MLA’s net property’s percentage increase was the highest compared to the previous year?

Ans: Mr. E

47. Study the following data and answer the questions that follow

Maximum marks in each subject = 70
What is the average percentage difference in marks scored by Rita, Lisa and Mathew in Maths section as compared to the Language section of the test?

Ans: 63.89%

48. Who among the following has least average marks in all the sections of the test?

Ans: Mathew

49. What is the least percentage difference in marks scored by Rita, Susan, and Carol in any of the sections of the test?

Ans: 9.09%

50. What is the approximate difference between the highest marks and average marks scored by the students in Writing section?

Ans: 14

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