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Hard Puzzles Questions and Answers

25. You have two bags each containing six balls. The first bag contains balls numbered 1 to 6 and the second bag contains balls numbered 7 to 12. A ball is drawn out of bag one and another ball is drawn out of bag two. What are the chances that at least one of the balls drawn out is an odd numbered ball?
Ans. 3 in 4
Sol.
The possible combinations of drawing the balls are:
odd – odd
odd – even
even – odd
even – even
There is only one of these combinations where an odd numbered ball is not drawn out. The chance of drawing at least one odd-numbered ball is therefore three in four.
 
26. The grid below has a specific pattern that determines the numbers in each box. What are the missing four numbers?
Sol.

Going across, the numbers in each row decrease by 3, 4 and 1 respectively. Going down, the numbers increase by 6 each time.
 
 
27. There are 60 seconds in 1 minute. There are 60 minutes in 1 hour. There are 5,280 ft. in 1 mile. So, what are the following in miles per hour?
Sol.