A box of chocolates containing 16 chocolates was given to each of the children A,B,C and D. When asked about the ratio of ‘no. of chocolates eaten’ to the ‘no. of chocolates not eaten’, they gave the following answer. A :- 5 : 3 B :- 1 : 1 C :- 1 : 7 D :- 3 : 4 one of them was lying. who? (here, eaten means completely eaten)

A box of chocolates containing 16 chocolates was given to each of the children A,B,C and D. When asked about the ratio of ‘no. of chocolates eaten’ to the ‘no. of chocolates not eaten’, they gave the following answer.

A :- 5 : 3

B :- 1 : 1

C :- 1 : 7

D :- 3 : 4

one of them was lying. who? (here, eaten means completely eaten)

A A

B B

C C

D D

E All of them were lying

Solution

Correct Answer: Option D

For dividing 16 into two whole numbers, the sum of the ratio terms must be a factor of 16.

A :- 5 : 3 → 5+3 = 8 (factor of 16)

B :- 1 : 1 → 1+1 = 2(factor of 16)

C :- 1 : 7 → 1+7 = 8(factor of 16)

D :- 3 : 4 → 3+4 = 7( not factor of 16)

Hence option (d) because 3 + 4 = 7 doesn’t divide 16 into whole numbers.

Solution

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