# Can you tell the minimum number of toffees boy had initially ?

409 views

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 ?

posted May 13, 2014

+1 vote

120
120 % 2 == 0
120 % 3 == 0
120 % 4 == 0
120 % 5 == 0
120 % 6 == 0
120 % 7 == 1

Ans is 120

120 is divisible by 2 (equally distribute 60 & remaining is zero)

120 is divisible by 3 (equally distribute 40 & remaining is zero)

120 is divisible by 4 (equally distribute 30 & remaining is zero)

120 is divisible by 5 (equally distribute 24 & remaining is zero)

120 is divisible by 6 (equally distribute 20 & remaining is zero)

119+1=119 is divisible by 7 (equally distribute 17) + (remaining is one)

Similar Puzzles

Priyanka visited a famous monument called “holyghar” located near Himalayas. It was a round structure consisting of 100 steps in spiral stairway to reach top. From top you can have overview of natural beauty surrounding that place. Priyanka thought of reaching the top. She also carried a lot of chocolates with her for kids. In the process of climbing up, with each step a chocolate falls from her bag. When she reaches top, she donates half of the chocolates left with her to small kids. Again, in the process of climbing down a chocolate falls down with each step.
She repeats the same process at five holyghars and now she is left with no chocolates. Can you find out the total number of chocolates she had with her initially?

Out of 100 women surveyed leaving Shoppers Stop, 83 had a white bag, 77 had black shoes, 62 carried an umbrella and 95 wore a ring.
What is the minimum number of women who must have had all four items?

+1 vote

A beautiful lake was surrounded by 4 temples. When flowers are washed in the lake-water, the flowers doubled in number. On a special day, Mrs. Sharma went there with some roses. She washed the roses in the lake-water before entering each temple. In each of the temple she deposited the same number of flowers. By the time she was done with all the four temples, she had no flower left with her.
How many flowers did she deposit in each temple?
What is the least number of flowers Mrs. Sharma must have had initially to make the above possible?

One person has some money in his pocket, He visits four temple on the way. As soon as he enters a temple, his money gets double and he offers Rs. 100 in each temple thus his pocket gets empty after he returns from the fourth temple. Now the question is how much money he had initially ?