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. Options: A . &nbspStatement (1) ALONE is sufficient, but statement (2) alone is not sufficient B . &nbspStatement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C . &nbspEACH statement ALONE is sufficient. D . &nbspBOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. E . &nbspStatement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.

Anita spent less than Rs. 75 to buy one kilogram each of potato, onion, and gour

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.

Options:

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: Option D
:
D
option (d)Statement A: 2 kg potato cost + 1 kg gourd cost < 1 kg potato cost + 1 kg gourd costWhich 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 kgpotato cost + 1 kg onion cost = 2 kg gourd cost.So statement B is also not sufficient.Combining both statements we get1 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.

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