BRAIN-TEASERS 07

FUN WITH MATHEMATICS

BRAIN-TEASERS
PUZZLES & RIDDLES

 Three friends plucked some mangoes from a mango grove and collected them together in a pile and took nap after that. After some time, one of the friends woke up and divided the mangoes into three equal numbers. There was one mango extra. He gave it to a monkey nearby, took one part for himself and slept again. Next the second friend got up unaware of what has happened, divided the rest of the mangoes into three equal shares. There was an extra mango. He gave it to the monkey, took one share for himself and slept again. Next the third friend got up not knowing what happened and divided the mangoes into three equal shares. There was an extra mango. He gave it to the monkey, took one share for himself and went to sleep again. After some time, all of them got up together to find 30 mangoes. How many mangoes did the friends pluck initially?

Answer: _______

106 MANGOES

The peculiar number

There is a number which is very peculiar. This number is three times the sum of its digits. Can you find the number?

Answer: _______

27

Ten saplings are to be planted in straight lines in such way that each line has exactly four of them.

Answer: _______

One arrangement could be

What will be the next number in the sequence?

(a) 1, 5, 9, 13, 17, 21, ...

(b) 2, 7, 12, 17, 22, ...

(c) 2, 6, 12, 20, 30, ...

(d) 1, 2, 3, 5, 8, 13, ...

(e) 1, 3, 6, 10, 15, ...

Answer: _______

(a) 25 (b) 27 (c) 42 (d) 21 (e) 21

Observe the pattern in the following statement:

31×39=13×93

The two numbers on each side are co-prime and are obtained by reversing the digits of respective numbers. Try to write some more pairs of such numbers.

Answer: _______

One such pair is  13 × 62 = 31 × 26.

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