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Arithmetical Reasoning

Verbal Reasoning
21. The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?
 
  • A. 10
  • B. 15
  • C. 29
  • D. 61
Ans: C.
Sol.
Clearly, every member except one must lose one gain to decide the winner.
Thus, minimum number of matches to be played = 30 - 1 = 29.
 
 
22. A man has Rs. 480 in the denominations of one rupee notes, five rupee notes and ten rupee notes. The number of each denomination is equal. What is the total number of notes that he has?
 
  • A. 45
  • B. 75
  • C. 90
  • D. 120
Ans: C.
Sol.
Let number of notes of each denomination be x.
Then x + 5x + 10 = 480.
16 x = 480 = x = 30.
Hence, total number of notes = 3x = 90.
 
23. In a caravan, in addition to 5o 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
 
  • A. 5
  • B. 8
  • C. 10
  • D. 15
Ans: D.
Sol.
Let the number of keepers be x. Then,
Total number of feet = 2 × 50 + 4 × 45 + 4 × 8 + 2x = 2x + 312.
Therefore (2x + 312 ) = ( 103 + x) + 224 or x = 15.
 
24. 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(in years) is
 
  • A. 10
  • B. 12
  • C. 15
  • D. 18
Ans: C.
Sol.
Let son’s age be x years.
Then father’s age = (3x) years.
Five years ago, father’s age = (3x - 5) years and
Son’s age = (x - 5) years.
So 3x - 5 = 4 (x - 5)‹=›3x - 5 = 4x - 20 ‹=› x = 5.
 
25. 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?
 
  • A. 100 grams
  • B. 150 grams
  • C. 200 grams
  • D. 240 grams
Ans: D.
Sol.
The seven pieces consist of 6 smaller equal pieces and one calf cake piece.
Weight of each small piece = 20 g.
So, total weight of the cake = [2 × (20 × 6)]g = 240g.