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Hard Puzzles Questions and Answers

Puzzles
16. If five men can build a house in 16 days, how long will it take just two men to build the same house, assuming all men work at the same rate?
Sol : 40 days.
Ans : Five men take 5 × 16 = 80 man days to build the house. Two men will, therefore, take 40 days to build the house (80 ÷ 2).
 
17. The average of three numbers is 48. The average of two of these numbers is 56. What is the third number?
Sol:
32.
Ans:
The total of three numbers must be 48 × 3 = 144.
The total of two numbers must be 56 × 2 = 112.
Therefore, 144 – 112 = 32;
 
 
18. The ages of five family members total 107 between them.
The ages of Margaret and Stuart total 29 between them.
The ages of Stuart and Jeffrey total 44 between them.
The ages of Jeffrey and Brian total 57 between them.
The ages of Brian and Philip total 46 between them.
How old is each family member?
Ans: Margaret 17, Stuart 12, Jeffrey 32, Brian 25 and Philip 21.