Latest Elitmus Aptitude Question SOLUTION: THERE ARE SOME COINS IN THE BAG(1 PAISE,5 PAISE,10 PAISE,25 PAISE).A MAN HAS TO DISTRIBUTE COINS TO THE CHILDREN IN SUCH A WAY THAT EACH ONE GET 50 PAISE exact HAVING NO TWO GETTIN

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(#M40026177) ELITMUS question Keep an EYE

THERE ARE SOME COINS IN THE BAG(1 PAISE,5 PAISE,10 PAISE,25 PAISE).A MAN HAS TO DISTRIBUTE COINS TO THE CHILDREN IN SUCH A WAY THAT EACH ONE GET 50 PAISE exact HAVING NO TWO GETTING THE SAME DENOMINATION OF COINS.THEN HOW MANY CHILDRENS ARE THERE?

Asked In Elitmus ASHOK KUMAR (10 years ago)

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Shazm  (10 years ago)

8 children?
I have approached it in this way:
Taking single coin combo:
1) 5*10 = 50
2) 10*5 = 50
3) 25*2 = 50
---------------------
Taking (5,10) coin combo:
4) 5*2 + 10*4 = 50
5) 5*4 + 10*3 = 50
6) 5*6 + 10*2 = 50
7) 5*8 + 10*1 = 50
---------------------
Taking (10,25) coin combo:
-> Not possible to make 50
(in any new combo)
----------------------
Taking (5,25) coin combo:
8 ) 5*5 + 25*1 = 50
Ergo,8 children.
P.S : I need verification for this
approach and also for the answer..!!

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Gaurav Malhotra  (9 years ago)

@ SHAZM
cant there be comb as (5,10,25),(1,10,25),(1,5,25),(1,5,10)etc,,,,???

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MD  (10 years ago)

no two getting same denomination means?

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Anandita Rani  (7 years ago)

Arrange the combinations of the coins in the decreasing order of denominations :


Case 1: when there is 2 25pc coin - 1 ways


Case 2: when there is 1 25pc coin and
(1) 2 10pc coin - nos of 5pc coin will range from 1 to 0 i.e 2 combinations
(2) 1 10pc coin - nos of 5pc coin will range from 3 to 0 i.e 4 combinations
(3) 0 10pc coin - nos of 5pc coin will range from 5 to 0 i.e 6 combinations


Case 3: when there is no 25 pc coins and
(1) 5 10pc coin - 1 ways
(2) 4 10pc coin - nos of 5pc coin will range from 2 to 0 i.e 3 combinations
(3) 3 10pc coin - nos of 5pc coin will range from 4 to 0 i.e 5 combinations
(4) 2 10pc coin - nos of 5pc coin will range from 6 to 0 i.e 7 combinations
(5) 1 10pc coin - nos of 5pc coin will range from 8 to 0 i.e 9 combinations
(6) 0 10pc coin - nos of 5pc coin will range from 10 to 0 i.e 11 combinations



So total 49 different combinations and hence 49 childrens

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