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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BRAIN-TEASERS 06

FUN WITH MATHEMATICS

BRAIN-TEASERS
PUZZLES & RIDDLES

 A man would be 5 minutes late to reach his destination if he rides his bike at 30 km. per hour. But he would be 10 minutes early if he rides at the speed of 40 km per hour. What is the distance of his destination from where he starts?

Answer: _______

30 KM

The ratio of speeds of two vehicles is 2:3. If the first vehicle covers 50 km in 3 hours, what distance would the second vehicle covers in 2 hours?

Answer: _______

50 KM

The ratio of income to expenditure of Mr. Natarajan is 7:5. If he saves ` 2000 a month, what could be his income?

Answer: _______

7000 PER MONTH

The ratio of the length to breadth of a lawn is 3:5. It costs ` 3200 to fence it at the rate of ` 2 a metre. What would be the cost of developing the lawn at the rate of `10 per square metre.

Answer: _______

15,00,000

If one counts one for the thumb, two for the index finger, three for the middle finger, four for the ring finger, five for the little finger and continues counting backwards, six for the ring finger, seven for the middle finger, eight for the index finger, 9 for the thumb, ten for the index finger, eleven for the middle finger, twelve for the ring finger, thirteen for the little finger, fourteen for the ring finger and so on. Which finger will be counted as one thousand?

Answer: _______

INDEX FINGER

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BRAIN-TEASERS 05

FUN WITH MATHEMATICS

BRAIN-TEASERS
PUZZLES & RIDDLES

 Two boatmen start simultaneously from the opposite shores of a river and they cross each other after 45 minutes of their starting from the respective shores. They rowed till they reached the opposite shore and returned immediately after reaching the shores. When will they cross each other again?

Answer: _______

90 minutes

Three  girls  are  climbing  down  a staircase. One girl climbs down two 

steps at one go. The second girl three 

steps at one go and the third climbs

316 down four steps. They started together from the beginning of the staircase leaving their foot marks. They all came down in complete steps and had their foot marks together at the bottom of the staircase. In how many steps would there be only one pair of foot mark?

Are there any steps on which there would be no foot marks.

Answer: _______

Steps with one pair of foot marks – 2, 3, 9, 10 

Steps with no foot marks – 1, 5, 7, 11

A group of soldiers was asked to fall in line making rows of three. It was found that there was one soldier extra. Then they were asked to stand in rows of five. It was found there were left 2 soldiers. They were asked to stand in rows of seven. Then there were three soldiers who could not be adjusted. At least how many soldiers were there in the group?

Answer: _______

52

Get 100 using four 9’s and some of the symbols like +, –, ×,  ¸ etc.

Answer: _______

99 + 9/9

How many digits would be in the product 2 × 2 × 2 ..... × 2 (30 times)?

Answer: _______

10

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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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