Ratio and Proportion Questions and Answers

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Q31
If 2A = 3B, then A:B =
  • A 3:2
  • B 2:3
  • C 1:3
  • D 3:1
Answer: Option A
Explanation: A/B = 3/2 => A:B = 3:2.
Q32
A sum is divided in the ratio 3:2. What is the smaller share if the total is 150?
  • A 60
  • B 70
  • C 50
  • D 30
Answer: Option A
Explanation: Smaller share = (2/5)x150 = 60.
Q33
If a:b = 8:12, simplify the ratio
  • A 2:3
  • B 3:2
  • C 1:2
  • D 4:3
Answer: Option A
Explanation: Divide by 4 => 8:12 = 2:3.
Q34
Ratio of 2 kg to 500 g
  • A 4:1
  • B 2:1
  • C 3:1
  • D 1:4
Answer: Option A
Explanation: 2 kg = 2000 g => 2000:500 = 4:1.
Q35
If a:b = 10:15, then b:a =
  • A 15:10
  • B 1:1
  • C 10:15
  • D 5:3
Answer: Option A
Explanation: Reverse the ratio.
Q36
A and Bs incomes are in ratio 5:3. If A earns 20,000, B earns
  • A 12,000
  • B 10,000
  • C 15,000
  • D 18,000
Answer: Option A
Explanation: B = (3/5)x20,000 = 12,000.
Q37
If x:y = 9:4, find (x+y):y
  • A 13:4
  • B 9:13
  • C 4:13
  • D 9:4
Answer: Option A
Explanation: (9+4):4 = 13:4.
Q38
If a:b = 11:22, simplify the ratio
  • A 1:1
  • B 1:2
  • C 1:3
  • D 2:1
Answer: Option B
Explanation: Divide by 11 => 1:2.
Q39
What is the mean proportional between 4 and 9?
  • A 6
  • B 5
  • C sqrt36
  • D 8
Answer: Option A
Explanation: sqrt(4x9) = sqrt36 = 6.
Q40
The ratio of boys to girls is 3:2. If there are 15 boys, number of girls =
  • A 5
  • B 10
  • C 20
  • D 25
Answer: Option B
Explanation: Girls = (2/3)x15 = 10.
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