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One question and three statements are numbered (I), (II) and (III). You have to decide whether the facts given in the statements are sufficient to answer the question given below. Question: What is the length of the rectangle? Statement: I. The perimeter of the rectangle is 80 meters. II. The sum of the adjacent sides is 40 meters. III. The width of the rectangle is 10 meters. Choose the correct option. A. Only I is sufficient. B. Only I and II are sufficient. C. III and one from I or II are sufficient. D. II and one from I or III are sufficient.

One question and three statements are numbered (I), (II) and (III). You have to decide whether the facts given in the statements are sufficient to answer the question given below. Question: What is the length of the rectangle? Statement: I. The perimeter of the rectangle is 80 meters. II. The sum of the adjacent sides is 40 meters. III. The width of the rectangle is 10 meters. Choose the correct option. A. Only I is sufficient. B. Only I and II are sufficient. C. III and one from I or II are sufficient. D. II and one from I or III are sufficient. Correct Answer C

Given,

Question: What is the length of the rectangle?

Statement:

I. The perimeter of the rectangle is 80 meters.

II. The sum of the adjacent sides is 40 meters.

III. The width of the rectangle is 10 meters.

Here we have three statements and from any alone statement, we cannot find the length of the rectangle.

We have the width of the rectangle given in the third statement.

By using statement I and III,

We have, Perimeter of the rectangle = 80 meter

Width of the rectangle = 10 meter

We know,

Perimeter of rectangle = 2 (Length + Width)

∴ 80 = 2 (L + 10)

∴ 40 = L + 10

∴ L = 30 meter

Here we get length of the rectangle = 30 meter.

 

By using statement II and III,

The sum of the adjacent sides is 40 meters.

Width of the rectangle = 10 meter.

Let, the length of the rectangle be x.

We know,

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∴ The sum of the adjacent sides = Length + Width

∴ 40 = x + 10

∴ x = 30

Here we get length of the rectangle = 30 meter.

∴ We get the length of the rectangle by using III and one from I or II statement.

∴ III and one from I or II are sufficient.

Hence, the correct answer is C.

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