Ratio and Proportion Questions Answers

• 8. If Rs. 782 is divided into three parts, proportional to
  \begin{aligned}
  \frac{1}{2}:\frac{2}{3}:\frac{3}{4}
  \end{aligned}
  
  find the first part.

  1. 190
  2. 204
  3. 220
  4. 230

  Answer And Explanation

  Answer: Option B

  Explanation:

  \begin{aligned}
  \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \\
  = 6:8:9\\
  \text{First part =} 782 * \frac{6}{23} \\
  = 204
  \end{aligned}

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• 9. Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share

  1. Rs 10
  2. Rs 20
  3. Rs 24
  4. Rs 28

  Answer And Explanation

  Answer: Option B

  Explanation:

  Let C = x. Then A = (x—20) and B = (x—40).
  x + x - 20 + x - 40 = 120 Or x=60.
  A:B:C = 40:20:60 = 2:1 :3.
  B's share = Rs. 120*(1/6) = Rs. 20

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• 10. In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is

  1. 420
  2. 520
  3. 620
  4. 720

  Answer And Explanation

  Answer: Option B

  Explanation:

  Let the boy are 8x and Girls are 5x
  
  => 5x = 200
  => x = 40
  
  Total students = 8x+5x = 13x = 13(40) = 520

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• 11. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

  1. 2:5
  2. 3:5
  3. 4:5
  4. 6:5

  Answer And Explanation

  Answer: Option C

  Explanation:

  Let the third number be x.
  First Number (120/100)*x = 6x/5
  Second Number (150/100)*x = 3x/2
  
  Ratio = 6x/5:3x/2
  => 4:5
  

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• 12. In a mixture 60 litres, the ratio of milk and water 2 : 1. If the this ratio is to be 1 : 2, then the quanity of water to be further added is

  1. 20 liters
  2. 30 liters
  3. 50 liters
  4. 60 liters

  Answer And Explanation

  Answer: Option D

  Explanation:

  Quantity of Milk = 60*(2/3) = 40 liters
  Quantity of water = 60-40 = 20 liters
  
  As per question we need to add water to get quantity 2:1
  
  => 40/(20+x) = 1/2
  => 20 + x = 80
  => x = 60 liters

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• 13. If three numbers in the ratio 3 : 2: 5 be such that the sum of their squares is 1862, the middle number will be

  1. 10
  2. 14
  3. 18
  4. 22

  Answer And Explanation

  Answer: Option B

  Explanation:

  Let the numbers be 3x, 2x and 5x.
  Then,
  9x + 4x + 25x =1862
  ⇒ 38x = 1862
  ⇒ x = 49 ⇒ x = 7.
  middle number = 2x = 14

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• 14. A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is

  1. 4:5
  2. 9:5
  3. 8:5
  4. 9:2

  Answer And Explanation

  Answer: Option B

  Explanation:

  Dog : Hare = (3*3) leaps of hare : 5 leaps of hare
  = 9 : 5

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