Arithmetic Reasoning Questions Answers

• 15. In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is

  1. 5
  2. 8
  3. 10
  4. 15

  Answer And Explanation

  Answer: Option D

  Explanation:

  Let the number of keepers be x.
  Then, total number of feet = 2*50+4*45+4*8+2x
  = 2x + 312
  
  Total number of heads = 50+45+8+x = 103 + x
  Now, (2x+312) = (103+x)+224
  => x = 15

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• 16. A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?

  1. 9, 46
  2. 9, 50
  3. 10, 46
  4. 10, 50

  Answer And Explanation

  Answer: Option B

  Explanation:

  As from the question we have,
  A = 3B --- (i)
  c - 4 = 2(A+4) ---(ii)
  
  Also, A + 4 = 31
  or A = 31-4 = 27
  
  Putting A = 27 in (i) we get
  B = 9
  Putting A = 27 in (ii) we get
  C = 50
  
  

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• 17. A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son is :

  1. 12
  2. 15
  3. 18
  4. 20

  Answer And Explanation

  Answer: Option B

  Explanation:

  Let son's age be x then father's age is 3x
  Five years ago, father's age = 3x-5 and son's age x-5
  So, 3x-5 = 4(x-5)
  => 3x-5 = 4x-20
  => x = 15
  

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• 18. In a group of 15 people, 7 read French, 8 read English while 3 of them read none of these two. How many of them read French and English both ?

  1. 2
  2. 3
  3. 4
  4. 5

  Answer And Explanation

  Answer: Option B

  Explanation:

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• 19. Find the least number which leaves a reminder of 3 when divided by 5, 6, 7 and 8, but leaves no reminder when divided by 9 ?

  1. 1683
  2. 1692
  3. 1598
  4. 1458

  Answer And Explanation

  Answer: Option A

  Explanation:

  First of all, calculate LCM of 5, 6, 7 and 8 which is 840.
  Suppose Number is K
  then 840 * K + 3 is divisible by 9.
  If K = 1, number = (840 × 1) + 3 = 843 which is not divisible by 9
  
  If K = 2, number = (840 × 2) + 3 = 1683 which is divisible by 9
  
  So 1683 is correct answer.

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