PuzzlersWorld.com

All Puzzles Solved Unsolved

Get number 28 # 53

by Leave a Comment

How you can get number 28 by using following numbers and operators

Numbers: 1, 5, 7 and 8.
Operators: +, -, * and /
You can use ( ) brackets as well.

Rules:-

  1. You can use each number only once.
  2. You can not use 1 and 5 as 15.
  3. You have to use all of the above number mentioned (1,5,7 and 8)


See Answer
There are multiple solutions
Solution 1: (8-5+1)*7 = 28
Solution 2: 7*5 – 8 + 1 = 28

10 digit number #52

by 1 Comment

Find the 10 digit number satisfying below conditions

Its first digit is the number of occurrence of 0’s in the number.
Second digit is the number of occurrence of 1’s in the number.
Third digit is the number of occurrence of 2’s in the number.
4th digit is the number of occurrence of 3’s in the number.
and so on up to 10th digit(which is number of occurrence of 9’s in the number).

See Answer

Only 10 digit number satisfying these conditions is 6210001000.

What is name of father? #49

by 5 Comments

 

What is the Father's name

Mother’s name is
Mrs. Sixty Two
Son’s name is
FIFTY TWO
Daughter’s name is
FORTY TWO
What is the name of the father?

IF
Mother’s name is
Mrs. SIXTY TWO

Son’s name is
FIFTY TWO

Daughter’s name is
FORTY TWO

What is the name of the father?

Check your answer:-

Tried enough already?
See Explanation
As mother’s name is Mrs. Sixty two so father’s name should be Sixty two.

Peculiar two digit number #44

by 2 Comments

Peculiar two digit number

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

Tried enough already?
See Solution
Lets say the number is ab

ab = 3(a+b)
We can also write it as 
10a + b = 3*(a+b)
7a = 2b
a/b = 2/7

As it is given that it is a two digit number, so it can only be 27.

How many eggs in the basket #43

by 3 Comments

How many eggs in the basket

A women was carrying a basket of Eggs when a passer-by bumped her and she dropped the basket and all the eggs broke, Passer-by asked her number of eggs to pay her. Women replied, I don’t remember exactly , but I do recall that whether I divided the eggs by 2,3,4,5 or 6 there was always one egg left over. When I took the eggs out in groups of seven, I emptied the basket.

Can you tell, “How many minimum number of Eggs were there in the basket”?

Tried enough already?
See Solution
As in the previous problem we should find the least common multiple of 2,3,4,5 and 6 first, i.e. 60.
Now the the number of eggs can be 60+1, but its not completely divisible by 7.
So next possibility is 120+1, but its not completely divisible by 7 too.
So next possibility is 180+1, but its not completely divisible by 7 too.
So next possibility is 240+1, but its not completely divisible by 7 too.
So next possibility is 300+1, and its completely divisible by 7, so the minimum number of eggs in the basket should be 301.

Boy with Toffee #42

by 2 Comments

Boy with Toffees

A boy has few toffees with him, then comes one of his friend and they decide to share them equally and they are able to divide them without any toffee remaining. Then one more friend comes and they divide the toffees in 3 equal parts, then one more friend comes, they are still able to divide the toffees in 4 equal parts, then comes one more friend, they are still able to divide them equally, similarly they are able to divide it equally in 5 and 6 equal parts but not when they are 7 and decide to divide equally they are left with one extra toffee.
Can you tell the minimum number of toffees boy had initially ?

Tried enough already?
See Solution
Since, They are able to divide the toffees equally between 2,3,4,5 and 6 boys so the number of toffees must be a multiple of all of these.
To get the minimum number we should first get the Least Common Multiple of 2,3,4,5 and 5, i.e. 2^2.3^1.5^1 = 60.
Now lets divide it by 7, the remainder is = 4, so it cant be the answer, So we should try the next possible answer i.e. 120, divide it by 7, remainder = 1, so minimum number of toffees boy can have is 120.

Social

privacy policy