Directions for questions: Read the information carefully and answer the questions given below.

On the occasion of Janmasthmi, four persons – A1, A2, A3 and A4 bought certain dozens of bananas for their respective houses. Their wives also went to the market and bought bananas. Further it is known that

I. The wives are W1, W2, W3 and W4

II. A1 bought as many bananas as his wife, A2 bought twice as many as his wife, A3 bought three times as many as his wife, and A4 bought four times as his wife.

III. W1 bought 2 dozens bananas, W2 bought 3, W3 and W4 bought 4 and 5 dozens of bananas respectively.

IV. The four couples bought 44 dozen of bananas between them.

Which two husbands bought the same number of bananas?

Option 1 - A2 and A4

Option 2 - A2 and A1

Option 3 - A1 and A3

Option 4 - A4 and A1

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Answered by

Payal Gupta | Contributor-Level 10

7 months ago

Correct Option - 1

Detailed Solution:

Let us denote, the dozens of Bananas bought by A4's wife by a1, a2 by A3's wife, a3 by A2's wife and a4 by A1's wife. We prepare the table given below Bananas bought:

A1 = a₄ A1's wife = a₄

A2 = 2a₃ A2's wife = a₃

A3 = 3a₂ A3's wife = a₂

A4 = 4a₁ A4's wi

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Order according to height								Student	Belong
1	2	3	4	5	6	7	8		K	G	D
×	×	×	×	×	×	×	√	Arun	×	×	√
×	×	√	×	×	×	×	×	Ajit	√	×	×
√	×	×	×	×	×	×	×	Rohan	√	×	×
×	×	×	×	×	√	×	×	Gajraj	×	√	×
×	√	×	×	×	×	×	×	Ronit	×	×	√
×	×	×	×	√	×	×	×	Shubham	√	×	×
×	×	×	×	×	×	√	×	Sweety	×	√	×
×	×	×	√	×	×	×	×	Lovely	×	√	×