Ratio and Proportion Questions and Answers

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Q11
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
  • A 3 : 3 : 10
  • B 10 : 11 : 20
  • C 23 : 33 : 60
  • D Cannot be determined
Answer: Option C
Q12
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
  • A 2 : 5
  • B 3 : 7
  • C 5 : 3
  • D 7 : 3
Answer: Option C
Q13
The fourth proportional to 5, 8, 15 is:
  • A 18
  • B 24
  • C 19
  • D 20
Answer: Option B
Q14
Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
  • A 27
  • B 33
  • C 49
  • D 55
Answer: Option B
Q15
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?
  • A 50
  • B 100
  • C 150
  • D 200
Answer: Option C
Q16
The ratio of 2 to 6 is
  • A 1 : 2
  • B 1 : 3
  • C 2 : 3
  • D 3 : 1
Answer: Option B
Explanation: Divide both terms by 2 => 2:6 = 1:3.
Q17
If a:b = 3:5, then b:a =
  • A 3:5
  • B 5:3
  • C 1:2
  • D 2:1
Answer: Option B
Explanation: Reverse the ratio => 5:3.
Q18
Simplify the ratio 12:20
  • A 3:5
  • B 2:5
  • C 4:7
  • D 6:10
Answer: Option A
Explanation: Divide both by 4 => 12:20 = 3:5.
Q19
If a:b = 4:9 and b:c = 3:7, then a:c =
  • A 4:21
  • B 12:63
  • C 12:21
  • D 4:7
Answer: Option C
Explanation: Multiply ratios: (4x3):(9x7) = 12:63, reduce to 12:21.
Q20
The ratio of 50 paise to 1 is
  • A 1:1
  • B 1:2
  • C 2:1
  • D 1:3
Answer: Option B
Explanation: 1 = 100 paise => 50:100 = 1:2.
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