Cognizant · Aptitude & Reasoning

Cognizant Aptitude & Reasoning interview questions

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Company: CognizantSubject: Aptitude & Reasoning62 questions in this page

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Cognizant · Aptitude & Reasoning questions (62)

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1. Simplify: 3/4 of 2/5 of 5/7 of 1400

Difficulty: HardType: MCQTopic: Simplification

When we see 'of' in mathematics, it means multiplication. We need to multiply all the fractions with the number and simplify. Method: Multiply all numerators and denominators, then multiply with 1400. Expression equals 3 divided by 4 times 2 divided by 5 times 5 divided by 7 times 1400. Step 1: Multiply fractions. Equals 3 times 2 times 5 times 1400 divided by 4 times 5 times 7. Equals 42000 divided by 140. Step 2: Cancel common factors before final division. 5 cancels with 5. Equals 3 times 2 times 1400 divided by 4 times 7 equals 8400 divided by 28 equals 300. Alternatively, simplify step by step: 1400 times 5 divided by 7 equals 1000. 1000 times 2 divided by 5 equals 400. 400 times 3 divided by 4 equals 300.

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Cognizant Aptitude & Reasoning interview questions

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1. Simplify: 3/4 of 2/5 of 5/7 of 1400

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2. Two travelers start 120 km apart and move towards each other at 30 km/h and 50 km/h. When will they meet?

3. A vehicle goes a certain distance at 60 km/h and returns the same distance at 40 km/h. What is the average speed for the round trip?

4. Test scores are normal with mean 70 and SD 10. What is P(score > 85)?

5. Which correlation coefficient indicates the strongest negative linear relationship?

6. A sphere has radius 7 cm. What is its total surface area?

7. Four presentations (P1, P2, P3, P4) are scheduled Mon–Thu (one per day). P3 is not on Monday. P2 is the day before P4. P1 is not on Tuesday. Which day is P4?

8. Three boxes (Red, Blue, Green) each contain a unique item (Pen, Key, Coin). Clues: (1) The Pen is not in the Red box. (2) The Key is in the Blue or Green box. (3) The Coin is not in the Green box. Which box contains the Pen?

9. If A:B = 3:4 and B:C = 2:5, then A:C equals?

10. A invests ₹60,000 for 12 months and B invests ₹90,000 for 8 months. Find the ratio of their profits.

11. If time is inversely proportional to speed, a car takes 6 hours at 50 km/h. How long at 75 km/h?

12. A value is decreased by 20% and then increased by 25%. Net effect?

13. A TV bought for ₹800 is sold for ₹680. What is the loss percent?

14. A town’s population is 1000. It rises by 10% in year one and 20% in year two. What is the population after two years?

15. A 40 L mixture has milk and water in the ratio 3:1. How much water is in the mixture?

16. Find the time if ₹7,500 amounts to a simple interest of ₹2,250 at 10% per annum.

17. What is the effective annual rate corresponding to 12% per annum compounded quarterly?

18. Which consecutive pair has LCM equal to 210?

19. How many 3-digit numbers can be formed from digits 1, 3, 5, 7 without repetition?

20. Find the median of the data: 5, 1, 9, 3, 7, 11.

21. The product of two numbers is 630 and their HCF is 9. What is their LCM?

22. Find the HCF of 12 and 18.

23. Simplify: 25 + 15 × 3 - 10 ÷ 2

24. Solve for x: 3x + 2y = 12 and 5x − y = 7.

25. How many two-digit numbers are divisible by 7?

26. The same 120 m train at 12 m/s crosses a 180 m platform. How long does it take?

27. Reducing speed by 10 km/h makes a 150 km trip take 30 minutes longer. What was the original speed?

28. Pipe A fills a tank in 6 hours, Pipe B in 8 hours, and a drain C empties it in 12 hours. If all are opened together, how long to fill the tank?

29. A can finish a work in 18 days and B in 27 days. They work on alternate days starting with A. In how many days will the work be finished?

30. A fair die is rolled once. What is the probability of getting a number greater than 4?

31. Two fair coins are tossed. What is the probability of at least one head?

32. From a standard deck, what is the probability of drawing an Ace or a Spade in a single draw?

33. Solve for x: 3x − 7 = 11.

34. Find the area of a triangle with sides 7 cm, 8 cm, and 9 cm.

35. A sector of a circle has central angle 60° and radius 6 cm. Find its area.

36. What is the midpoint of the segment joining (2, −1) and (8, 5)?

37. Seven people P, Q, R, S, T, U, V sit in a row facing north. Q is at an end. R is second to the right of Q. V is not at any end. T sits immediately left of V. U sits to the immediate right of P. Who is in the middle position?

38. Four couples sit around a round table facing center. No spouses sit together. If one specific couple must have exactly one person between them, in how many ways can they be seated (count rotations as same)?

39. For positive integers a and b with HCF = h and LCM = l, which identity always holds?

40. HCF and LCM of two numbers are 13 and 455. If one number is 91, find the other.

41. A shopkeeper marks goods 40% above cost and wants a 12% profit. What discount percent should be given on the marked price?

42. Simple Interest earned is ₹600 at 5% per annum in 3 years. Find the principal.

43. ₹8,000 at 10% per annum compounded half-yearly for 1 year gives compound interest of:

44. Find the compound interest on ₹5,000 for 2 years if the rate is 10% for the first year and 20% for the second year.

45. A class of 20 students has average score 70. Another class of 30 students has average 80. What is the combined average?

46. If A:B = 5:8, what fraction of the whole is A?

47. The mean proportional between 9 and 25 equals:

48. How many liters of 30% acid solution must be mixed with 20 L of 50% acid solution to get a 40% solution?

49. How much water must be added to 30 L of 20% alcohol solution to reduce it to 15% alcohol?

50. A can do a work in 10 days and B in 15 days. A works for 2 days and leaves. How long will B take to finish the rest?

51. How many ways can the letters of “ACCOUNT” be arranged if the two Cs are together?

52. Two pipes can fill a tank in 12 min and 15 min. If both are opened together, after how many minutes should the first be closed so that the tank is full in exactly 10 minutes?

53. Solve for x: \( \frac{x}{3} + \frac{x}{4} = 7 \).

54. The sum of two numbers is 26 and their difference is 4. What is the larger number?

55. The line with slope −2 passes through (4, 5). Which is its equation?

56. Find the equation of the line with slope 4 passing through (3, −2).

57. At a vertex of a triangle, the exterior angle is 110°. One of the remote interior angles is 45°. What is the other remote interior angle?

58. From 8 men and 5 women, how many committees of 5 can be formed with at least 2 women?

59. If P(A)=0.4, P(B)=0.5 and P(A∩B)=0.2, find P(A∪B).

60. A disease has prevalence 1%. A test has sensitivity 99% and specificity 95%. If a person tests positive, what is the approximate probability they actually have the disease?

61. Three shelves (Top, Middle, Bottom) have one book each by authors A, B, C. Clues: (i) A’s book is not on the Bottom shelf. (ii) B’s book is above C’s. (iii) C’s book is not on the Top shelf. Which shelf holds A’s book?

62. Five people A, B, C, D, E live on different floors of a 5-floor building (1=lowest, 5=top). A does not live on an odd-numbered floor. B lives above C. D lives immediately above A. E does not live on the top floor. Who lives on the 4th floor?

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