BRAIN-TEASERS 03

FUN WITH MATHEMATICS

BRAIN-TEASERS
PUZZLES & RIDDLES

Cement mortar was being prepared by mixing cement to sand in the ratio of 1:6 by volume. In a cement mortar of 42 units of volume, how much more cement needs to be added to enrich the mortar to the ratio 2:9?

Answer: ______

2 units

In a solution of common salt in water, the ratio of salt to water was 30:70 as per weight. If we evaporate 100 grams of water from one kilogram of this solution, what will be the ratio of the salt to water by weight?

Answer: _______

1:2

Half a swarm of bees went to collect honey from a mustard field. Three fourth of the rest went to a rose garden. The rest ten were still undecided. How many bees were there in all?

Answer: _______

80

Fifteen children are sitting in a circle. They are asked to pass a handkerchief to the child next to the child immediately after them. The game stops once the handkerchief returns to the child it started from. This can be written as follows : 1→3→5→7→9→11→13→15→2→4→6→8

→ 10→12 →14→1. Here, we see that every child gets the handkerchief.

(i) What would happen if the handkerchief were passed to the left leaving two children in between? Would every child get the handkerchief?

(ii) What if we leave three children in between? What do you see? In which cases every child gets the handkerchief and in which cases not?

Try the same game with 16, 17, 18, 19, 20 children. What do you see?

Answer: _______

(i) No, all children would not get it. 

(ii) All would get it.

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BRAIN-TEASERS 02

FUN WITH MATHEMATICS
BRAIN-TEASERS
PUZZLES & RIDDLES

A boy was asked to find the LCM of 3, 5, 12 and another number. But while calculating, he wrote 21 instead of 12 and yet came with the correct answer. What could be the fourth number?

Answer: _______

28

There were five pieces of cloth of lengths 15 m, 21 m, 36 m, 42 m, 48 m. But all of them could be measured in whole units of a measuring rod. What could be the largest length of the rod?

Answer: _______

3M

Which two digit numbers when added to 27 get reversed?

Answer: _______

The man takes an empty vessel other than these.

With the help of 3 litres can he takes out 9 litres of milk from the 10 litres can and pours it in the extra can. So, 1 litre milk remains in the 10 litres can. With the help of 7 litres can he takes out 7 litres of milk from the extra can and pours it in the 10 litres can. The 10 litres can now has 1 + 7 = 8 litres of milk.

With the help of 3 litres can he takes out 3 litres milk from the 10 litres can. 

The 10 litres can now has 8 – 3 = 5 litres of milk, which he gives to the customer.

 

There are three cans. One of them holds exactly 10 litres of milk and is full. The other two cans can hold 7 litres and 3 litres respectively. There is no graduation mark on the cans. A customer asks for 5 litres of milk. How would you give him the amount he ask? He would not be satisfied by eye estimates.

Answer: _______

14, 25, 36, 47, 58, 69

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BRAIN-TEASERS 01

 FUN WITH MATHEMATICS
BRAIN-TEASERS
PUZZLES & RIDDLES

In a pizza restaurant, you can get a basic pizza with two toppings: cheese and tomato. You can also make up your own pizza with extra toppings. You can choose from four different extra toppings: olives, ham, mushrooms and salami. Ross wants to order a pizza with two different extra toppings.How many different combinations can Ross choose from?

Answer: ________________ combinations.

SOLUTION

Answer: ________________

6 combinations.

To complete one set of bookshelves a carpenter needs the following components:4 long wooden panels, 6 short wooden panels, 12 small clips, 2 large clips and14 screws. The carpenter has in stock 26 long wooden panels, 33 short wooden panels, 200 small clips, 20 large clips and 510 screws.

How many sets of bookshelves can the carpenter make?

Answer:________________

Answer: _______________

5

From a basket of mangoes when counted in twos there was one extra, counted in threes there were two extra, counted in fours there were three extra, counted in fives there were four extra, counted in sixes there were five extra. But counted in sevens there were no extra. Atleast how many mangoes were there in the basket?

Answer: _______

119

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3 digit number MAGIC

FUN WITH MATHEMATICS
super maths 
3 digit number MAGIC 

Take 3 digit number (different digits)

Reverse order of number.

Subtract from larger number.

Now Tell the Last digit

I will tell the other 2 digits. First digit and Second digit.

How....????

Take 3 digit number (different digits)

Reverse order of number.

Subtract from larger number.

Now Tell the Last digit

I will tell the other 2 digits. First digit and Second digit.

How....????

378

873

873 – 378 = 495

5

Answer is 4 & 9

How....????

Answer is 

First digit = 4 & 

second digit = 9

941

149

941 – 149 = 792

2

Answer is 7 & 9

How....????

Answer is 

First digit = 7 & 

second digit = 9

3 Digit Number Magic – Solution

First digit = 9 - last digitsecond digit is always 9

Example 1 solution

Answer is 

First digit = 4 (9 -5 last digit)

second digit = 9 (Always 9)

Example 2 solution

Answer is 

First digit = 7 (9 -2 last digit)

second digit = 9 (Always 9)

Amazing...!!!!

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