Arithmetic Reasoning Questions Answers

• 15. In a chess tournament each of six players will play every other player exactly once. How many matches will be played during the tournament ?

  1. 12
  2. 15
  3. 30
  4. 36

  Answer :

  Option B

  Explanation:

  I. matches of first player with other 5 players
  II. matches of second player with 4 players other than the first player
  III. matches of third player with 3 players other than the first player and second player.
  IV. matches of fourth player with 2 players other than the first player, second player and third player.
  V. matches of fifth player with 1 player other than the first player, second player, third player and fourth player.
  
  So total matches will be 5+4+3+2+1 = 15
  
  
  
  

• 16. A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is ?

  1. 70
  2. 75
  3. 80
  4. 85

  Answer :

  Option B

  Explanation:

  Generally we may commit mistake of dividing 1200/15.
  But out of 16 persons there is one captain.
  so, it will be 1200/16 = 75

• 17. 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 :

  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

• 18. 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 :

  Option B

  Explanation:

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