1. 

What is the area of rectangular field?

I. The perimeter of the field is 110 metres.

II. The length is 5 metres more than the width.

III. The ratio between length and width is 6 : 5 respectively.
A. I and II only
B. Any two of the three
C. All I, II and III
D. I, and either II or III only
E. None of these

Answer: Option B

Explanation:

  I. 2(l + b) = 110     ⇒     l + b = 55.

 II. l = (b + 5)     ⇒     l - b = 5.

III. l = 6     ⇒     5l - 6b = 0.
b 5

These are three equations in l and b. We may solve them pairwise.

∴ Any two of the three will give the answer.

∴ Correct answer is (B).