Arithmetic Reasoning Questions Answers

• 8. At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?

  1. 20
  2. 45
  3. 55
  4. 90

  Answer And Explanation

  Answer: Option B

  Explanation:

  Total number of handshakes =
  9+8+7+6+5+4+3+2+1 = 45

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• 9. A student got twice as many sums wrong as he got right. If he attempted 48 sums in all, how many did he solve correctly ?

  1. 12
  2. 16
  3. 24
  4. 18

  Answer And Explanation

  Answer: Option B

  Explanation:

  Suppose boy got x sums right and 2x sums wrong,
  then,
  x+2x = 48
  => 3x = 48
  => x = 16

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• 10. The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?

  1. 48
  2. 44
  3. 42
  4. 40

  Answer And Explanation

  Answer: Option C

  Explanation:

  Let number of girls = x and number of boys = 3x.
  
  Then, 3x + x = 4x = total number of students.
  
  Thus, to find exact value of x, the total number of students must be divisible by 4.

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• 11. A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there ?

  1. 8
  2. 10
  3. 12
  4. 14

  Answer And Explanation

  Answer: Option D

  Explanation:

  Let number of horses = number of men = x.
  
  Then, number of legs = 4x + 2 x (x/2) = 5x.
  
  So, 5X = 70 or x = 14.

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• 12. If 100 cats kill 100 mice in 100 days, then 4 cats would kill 4 mice in how many days ?

  1. 4 day
  2. 10 day
  3. 40 day
  4. 100 day

  Answer And Explanation

  Answer: Option D

  Explanation:

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• 13. In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?

  1. 10
  2. 12
  3. 14
  4. 18

  Answer And Explanation

  Answer: Option B

  Explanation:

  Let the number of boys be x.
  Then, 3/4 x = 18
  => x = 24
  
  If total number of students is y, then
  2/3 y = 24
  => y = 36
  
  Number of girls in class = y - x
  = 36 - 24 = 12

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• 14. I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?

  1. 25
  2. 37
  3. 54
  4. 65

  Answer And Explanation

  Answer: Option A

  Explanation:

  The required number will be such that it leaves a reminder of 1 when divided by 2, 3 or 4 and no reminder when divided by 5. Such a number is 25 among options

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