Question

What is the number of type-2 widgets produced, if the total number of widgets produced is 20,000?
I. If the production of type-1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same.
II. The ratio in which type-1 and type-2 widgets are produced is 2 : 1.

• A. The question cannot be answered even with the help of both the statements taken together.
• B. The question can be answered by any one of the statements
• C. Each statement alone is sufficient to answer the question, but not the other one.
• D. Both statements I and II together are needed to answer the question

Hint:

If you know total and either the exact ratio or an independent equation linking the two types, each is sufficient to solve alone.

Answer 1

The Correct Option is C

I: From total 20,000 and net effect equation, we can solve for both quantities without statement II.
II: From total 20,000 and ratio 2:1, type-2 = $\frac{1}{3}$ of 20,000 = 6,667. Both independently sufficient. %Quick tip