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Hard Puzzles Questions and Answers

Puzzles
13. In a right-angled triangle what is the length of the hypotenuse if the two shortest sides are 10 and 24 cm respectively?
Sol : 26
Ans.102 + 242 = 100 + 576 = 676.
√676 = 26 (Pythagoras).
 
14. In eight years time the combined age of me and my two sons will be 124. What will it be in five years time?
Sol:
115.
Ans:
In eight years the combined age is 124;
the age now is 124 – (8 × 3) = 100.
Age in five years is 100 + (5 × 3) = 115.
 
 
15. In a game of eight players lasting for 70 minutes, six substitutes alternate with each player. This means that all players, including the substitutes, are on the pitch for the same length of time. For how long?
Ans: 40 minutes.
Sol: (70 × 8)÷ 14. Total time for eight players = 70 × 8 = 560 minutes. However, as 14 people are each on the pitch for an equal length of time, they are each on the pitch for 40 minutes (560 ÷ 14);.