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Arithmetical Reasoning

6. A placed three sheets with two carbons to get two extra copies of the original. Then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half. Then he typed. How many carbon copies did he get?
 
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Ans: B.
Sol.
Since the number of carbons is 2, only two copies can be obtained.
 
7. 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
 
  • A. 70
  • B. 75
  • C. 80
  • D. 85
Ans: B.
Sol.
Clearly, out of every 16 persons, there is one captain.
So, number of captains = 1200 / 16 = 75.
 
8. There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there?
 
  • A. 10
  • B. 20
  • C. 40
  • D. 60
Ans: D.
Sol.
Let x and y be the number of deer and peacocks in the zoo respectively.
Then, x + y = 80 ------------------> (i)
4x + 2y = 200 or 2x + y = 100 ---------> (ii)
Solving (i) and (ii), we get : x = 20, y = 60.
 
9. When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul’s brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul’s sister when he was born?
 
  • A. 5 years
  • B. 8 years
  • C. 10 years
  • D. 14 years
Ans: C.
Sol.
When Rahul was born,
his brother’s age = 6 years,
his father’s age = ( 6 + 32 ) = 38 years.
his mother’s age = ( 38 - 3) years = 35 years.
his sister’s age = ( 35 - 25 ) years = 10 years.
 
10. A man wears socks of two colours – black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair?
 
  • A. 1
  • B. 3
  • C. 20
  • D. 39
Ans: B.
Sol.
Since there are socks of only two colours, so two out of any three socks must always be of the same colour.