Question

You are given a question and two statements. Identify which of the statements is/are sufficient to answer the question.
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$^2$.
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:

In problems involving area and dimensions, focus on how changes in length and breadth affect the total area. Use the relationships to solve for unknowns.

Answer 1

The Correct Option is C

Both statements provide enough information to calculate the length of the rectangle using the area-related formulas. Either statement alone is sufficient to determine the length.