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Arithmetical Reasoning

Verbal Reasoning
11. A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether?
 
  • A. 54
  • B. 84
  • C. 104
  • D. 108
Ans: C.
Sol.
Since each pole at the corner of the plot is common to its two sides.
Therefore total number of poles needed = 27 × 4 - 4 = 104.
 
 
12. 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?
 
  • A. 40
  • B. 42
  • C. 44
  • D. 46
Ans: B.
Sol.
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.
 
13. Find the number which when added to itself 13 times, gives 112.
 
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Ans: D.
Sol.
Let the number be x.
Then x + 13x = 112 ‹=›14x = 112 ‹=› x = 8.
 
14. A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 10 men leave the bus and five women enter. Now number of men and women is equal. In the beginning, how many passengers entered the bus?
 
  • A. 25
  • B. 35
  • C. 45
  • D. 55
Ans: C.
Sol.
Originally, let number of women = x. Then number of men = 2x.
So, in city Y, we have (2x - 10) = (x + 5 ) or x = 15.
Total number of passengers in the beginning = ( x + 2x) = 3x = 45.
 
15. A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle?
 
  • A. 12
  • B. 24
  • C. 48
  • D. 60
Ans: B.
Sol.
Total number of routes from Bristol to Carlisle = ( 4 × 3 × 2) = 24.