Question

Anita spent less than Rs. 75 to buy one kilogram each of potato, onion, and gourd. Which one of the three vegetables bought was the costliest?
1. 2 kg potato and 1 kg gourd cost less than 1 kg potato and 2 kg gourd.
2. 1 kg potato and 2 kg onion together cost the same as 1 kg onion and 2 kg gourd.

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• C. EACH statement ALONE is sufficient.
• D. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
• E. Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Answer 1

The correct option is D BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

option (d)

Statement A: 2 kg potato cost + 1 kg gourd cost < 1 kg potato cost + 1 kg gourd cost

Which means that 1 kg potato cost < 1 kg gourd cost.

So statement A is not sufficient.

Statement B: 1 kg potato cost + 2 kg onion cost = 1 kg onion cost + 2 kg gourd cost = 1 kg

potato cost + 1 kg onion cost = 2 kg gourd cost.

So statement B is also not sufficient.

Combining both statements we get

1 kg potato cost < 1 kg gourd cost …(i)

1 kg potato cost + 1 kg onion cost = 2 kg gourd cost …(ii)

So the onion is costliest.