Question

You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.
If the breadth of a rectangle is 10 cm, then what is its length?
Statements:
I. If the length of the rectangle is increased by 25% and its breadth by 20%, its area increases by 70 cm\textsuperscript{2}.
II. The length remaining the same, if its breadth is increased by 20%, the ratio of the new area to the original area becomes 6:5.

• A. Statement I alone is sufficient
• B. Statement II alone is sufficient
• C. Either statement I alone or statement II alone is sufficient
• D. Both the statements I and II together are not sufficient

Hint:

Whenever you are given percentage changes and a resulting absolute difference, you can usually form equations directly.

Answer 1

The Correct Option is A

Statement I provides a clear numerical increase in area, which is sufficient to compute the original length.