Maths MCQs for AD (ASF) – Series 3 (Q61-70)
Q61. Find the number of factors of 360.
- A) 20
- B) 24
- C) 22
- D) None of these
Answer: B
360 = 2³ × 3² × 5¹, so number of factors = (3+1)(2+1)(1+1) = 24.
Q62. Find the sum of the first 40 natural numbers.
- A) 800
- B) 820
- C) 840
- D) None of these
Answer: B
Sum = n(n+1)/2 = 40×41/2 = 820.
Q63. A number when divided by 143 leaves a remainder of 31. What remainder will be obtained by dividing the same number by 13?
- A) 5
- B) 6
- C) 4
- D) None of these
Answer: A
143 = 13×11, so the number = 143k+31. On dividing by 13, remainder of 31 is 5 (31 = 13×2+5).
Q64. If 60% of a number exceeds 40% of the same number by 24, find the number.
- A) 140
- B) 120
- C) 100
- D) None of these
Answer: B
0.6x − 0.4x = 24 → 0.2x = 24 → x = 120.
Q65. The population of a town increases by 10% annually. If the present population is 15000, find the population after 2 years.
- A) 18150
- B) 18300
- C) 18000
- D) None of these
Answer: A
Population after 2 years = 15000 × 1.1 × 1.1 = 18150.
Q66. What is the largest 4-digit number exactly divisible by 88?
- A) 9900
- B) 9988
- C) 9944
- D) None of these
Answer: C
9999 ÷ 88 = 113 remainder 55; 113×88 = 9944, the largest such 4-digit multiple.
Q67. A number is increased by 20% and then decreased by 20%. Find the net percentage change.
- A) No change
- B) 4% increase
- C) 4% decrease
- D) None of these
Answer: C
Net factor = 1.2 × 0.8 = 0.96, i.e. a 4% decrease on the original number.
Q68. The HCF of two numbers is 12 and their LCM is 336. If one number is 48, find the other.
- A) 84
- B) 96
- C) 72
- D) None of these
Answer: A
Product of numbers = HCF × LCM = 12×336 = 4032; other number = 4032/48 = 84.
Q69. Two-fifths of three-sevenths of a number is 30. Find the number.
- A) 150
- B) 175
- C) 210
- D) None of these
Answer: B
(2/5)×(3/7)×x = 30 → (6/35)x = 30 → x = 175.
Q70. In an exam, 35% of candidates failed in one subject and 42% failed in another, while 15% failed in both. What percentage passed in both subjects?
- A) 40%
- B) 35%
- C) 38%
- D) None of these
Answer: C
Failed in at least one = 35+42−15 = 62%. Passed both = 100−62 = 38%.
Pages:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
