Arithmetic Reasoning Questions Answers

1. In a chess tournament each of six players will play every other player exactly once. How many matches will be played during the tournament ?
 12
 15
 30
 36
Answer And Explanation
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

2. A, B, C and D play a game of cards. A says to B. "If I give you 8 cards, you will have as many as C has and I shall have 3 less than what C has. Also if I take 8 cards from C, I shall have twice as many as D has." If B and D together have 50 cards, how many cards have A got?
 35
 37
 38
 40
Answer And Explanation
Answer: Option D
Explanation:
If we read given question carefully, we get,
B+8 = C (i)
A8 = C3 (ii)
A+6 = 2D (iii)
B+D = 50 (iv)
Putting C = A 5 from (ii) into (i), we have :
B+8 = A5 or AB = 13 (v)
Putting D = 50B from (iv) and (iii), we have :
A+6 = 1002B or A+2B = 94 (vi)
Solving (v) and (vi), we get
B = 27 and A = 40

3. Reena is twice as old as Sunita. Three years ago, she was three times as old as Sunita. How old is Reena now ?
 6 years
 12 years
 14 years
 16 years
Answer And Explanation
Answer: Option B
Explanation:
Let Sunita's present age = x years
Then Reena present age = 2x years
Three years ago
(2x3) = 3(x3)
2x  3 = 3x  9
or x = 6
Reena age = 2x = 2*6 = 12 year. 
4. A shepherd had 27 sheep. All but 10 died. How many he left with ?
 10
 15
 17
 27
Answer And Explanation
Answer: Option A
Explanation:
"All but 10 died" means all except 10 died, so he is remained with 10 sheep.

5. 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 ?
 70
 75
 80
 85
Answer And Explanation
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 
6. Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?
 240 gm
 220 gm
 225 gm
 250 gm
Answer And Explanation
Answer: Option A
Explanation:
Seven pieces consist of 6 smaller equal pieces and one half cake piece.
Weight of each small piece = 20 gm
So, total weight of the cake = 2 (20 * 6) = 240 gm 
7. First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch are
 9
 10
 12
 15
Answer And Explanation
Answer: Option D
Explanation:
Let the number of bananas in the second bunch be x.
Then, the number of bananas in the first bunch
= x + 1/4 x
= 5/4 x
So,
5/4 x  x = 3
=> 5x  4x = 12
x = 12
Number of bananas in first bunch
= 5/4 * 12 = 15