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Arithmetic & Mental Ability – KLEE 2024 5-Year LLB

Click an option to check your answer, or click View Answer. Exam held on 18 August 2024 · Paper code 16/2024/OL.

64.

The product of three consecutive positive integers is 120. Then the sum of the three positive numbers is ?

  1. A. 16
  2. B. 24
  3. C. 15
  4. D. 12

Answer: Option C

Explanation:

4 × 5 × 6 = 120, so the integers are 4, 5 and 6. Sum = 15.

65.

If you divide the number 1003 by 5, then the remainder is equal to

  1. A. 2
  2. B. 4
  3. C. 1
  4. D. 3

Answer: Option D

Explanation:

1003 = 5 × 200 + 3, so the remainder is 3.

66.

A person bought an item for Rs. 1350 and spent Rs.150 towards transportation of the item. Then he sold it for Rs.1800. The profit percentage is

  1. A. 25%
  2. B. 15%
  3. C. 20%
  4. D. 10%

Answer: Option C

Explanation:

Total cost = 1350 + 150 = 1500. Profit = 1800 − 1500 = 300. Profit % = 300 ÷ 1500 × 100 = 20%.

67.

The average marks of 15 students in a subject is 65. If another student has scored 97 marks in the same subject, then the average marks of the 16 students is

  1. A. 69
  2. B. 71
  3. C. 68
  4. D. 67

Answer: Option D

Explanation:

Total of 15 students = 15 × 65 = 975. With 97 added: 1072 ÷ 16 = 67.

68.

The area of a vacant land in the form of a square is 36100 square metres. Then the length of the side of the land is

  1. A. 160 metres
  2. B. 180 metres
  3. C. 190 metres
  4. D. 210 metres

Answer: Option C

Explanation:

Side = √36100 = 190 metres.

69.

The smallest positive number which is divisible by the numbers 2, 3, 4, 5, 6, 7 is

  1. A. 840
  2. B. 1260
  3. C. 210
  4. D. 420

Answer: Option D

Explanation:

LCM of 2, 3, 4, 5, 6, 7 = 2² × 3 × 5 × 7 = 420.

70.

A can do a work in 10 days and B can do the same work in 15 days. Both together can do the same work in

  1. A. 4 days
  2. B. 5 days
  3. C. 6 days
  4. D. 8 days

Answer: Option C

Explanation:

Together per day = 1/10 + 1/15 = 3/30 + 2/30 = 1/6, so 6 days.

71.

Rs. 21600 has to be divided and paid to A and B in the ratio 2 : 7. Then B will get

  1. A. Rs.14600
  2. B. Rs.16800
  3. C. Rs.16400
  4. D. Rs.14800

Answer: Option B

Explanation:

B's share = 7/9 × 21600 = Rs. 16800.

72.

Which of the following numbers is not divisible by 9 ?

  1. A. 94896
  2. B. 84996
  3. C. 68949
  4. D. 98967

Answer: Option D

Explanation:

A number is divisible by 9 if its digit sum is. Digit sums: 94896 → 36, 84996 → 36, 68949 → 36, 98967 → 39. 39 is not divisible by 9, so 98967 is the answer.

73.

The smallest number among the fractions 3/5 , 5/9, 7/11 , 9/13 is

  1. A. 3/5
  2. B. 5/9
  3. C. 7/11
  4. D. 9/13

Answer: Option B

Explanation:

As decimals: 3/5 = 0.6, 5/9 ≈ 0.556, 7/11 ≈ 0.636, 9/13 ≈ 0.692. Smallest is 5/9.