A, B, C, D, and E are five persons whose total weight is 200 kg 200 \text{ kg} 200 kg . The combined weight of A and B is 56 kg 56 \text{ kg} 56 kg , ...

Question

A, B, C, D, and E are five persons whose total weight is 200 kg200 \text{ kg}. The combined weight of A and B is 56 kg56 \text{ kg}, and their weights are in the ratio 3:53:5 respectively. The weight of C is greater than A but less than B. The weight of B is less than D, and the weight of E is greater than D. (All weights are integers.)

Which of the following statements can be correct?

I. The maximum possible weight of C is 34 kg34 \text{ kg}.

II. The maximum possible weight of E is 74 kg74 \text{ kg}.

III. The maximum possible weight of D is 56 kg56 \text{ kg}.

Options

A.

All I, II & III

B.

Both I & III

C.

Only I

D.

Both II & III

E.

Only II

weight puzzleratioinequalitiesinteger valueslogical deduction

Solve This Question

Get instant feedback with detailed step-by-step solution

Start Solving →