Logical Puzzles

52. At the end of the day one market stall had 16 apples and 48 oranges left. Another market stall had 36 apples and 24 oranges left. What is the difference between the percentages of apples left in the two market stalls?
Answer
35%.
First stall 16 out of 64 = 25%.
Second stall 36 out of 60 = 60%.
Difference in percentages = 35%.
53. In a right angled triangle, if the lengths of the two shortest sides are whole numbers exactly and the length of the hypotenuse is 40 cm, what are the lengths of the two shortest sides?
Answer
24 cm and 32 cm (Pythagoras).
40 cm2 = 1600
242 = 576
322 = 1024
= (576=1024)= 1600.
54. Today was Lakshmi’s birthday. She turned 24. Lakshmi is twice as old as Ramu was when Lakshmi was as old as Ramu now. How old is Ramu now?
Answer
Ramu is 18 years old.
24 - x years ago Lakshmi was x years old
And now she is 24.
24 - x years ago Ramu was x - (24 - x) years old.
55. A company hires a fleet of buses to transport its workforce to a conference. If 689 workers attended the conference, and each bus seats 35 passengers, how many buses are required?
Answer
20 buses 665 people sit on the first 19 buses and the remainder (24) travel on the last bus.