Brain Teasers 04

FUN WITH MATHEMATICS

BRAIN-TEASERS
PUZZLES & RIDDLES

Take two numbers 9 and 16. Divide 9 by 16 to get the remainder. What is the remainder when 2 × 9 is divided by 16, 3 × 9 divided by 16, 4 × 9 divided by 16, 5 × 9 divided by 16... 15 × 9 divided by 16. List the remainders. Take the numbers 12 and 14. List the remainders of 12, 12×2,12×3,12×4,12×5,12×6,12×7,12×8,12×9,12×10, 12 × 11, 12 × 12, 12 × 13 when divided by 14. Do you see any difference between above two cases?

Answer: _______

9, 2, 11, 4, 13, 6, 15, 8, 1, 10, 3, 12, 5, 14, 7. 12, 10, 8, 6, 4, 2, 0, 12, 10, 8, 6, 4.

You have been given two cans with capacities 9 and 5 litres respectively. There is no graduation marks on the cans nor is eye estimation possible. How can you collect 3 litres of water from a tap? (You are allowed to pour out water from the can). If the cans had capacities 8 and 6 litres respectively, could you collect 5 litres?

Answer: _______

Fill the 9 litres can. Remove 5 litres from it using the 5 litres can. Empty the 5 litres can. Pour 4 litres remaining in the 9 litres can to the 5 litres can.

Fill the 9 litres can again. Fill the remaining 5 litres can from the water in it. This leaves 8 litres in the 9 litres can. Empty the 5 litres can. Fill it from the 9 litres can. You now have 3 litres left in the 9 litres can.

The area of the east wall of an auditorium is 108 sq m, the area of the north wall is 135 sq m and the area of the floor is 180 sq m. Find the height of the auditorium.

Answer: _______

Height = 9m

If we subtract 4 from the digit at the units place of a two digit number and add 4 to the digit at the tens place then the resulting number is doubled. Find the number.

Answer: _______

36

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