Question: What is the cost of 15 pens, 21 pencils and 18 note books?<br>Statement-I:<br>The cost of 7 pens, 6 pencils and 5 note books is ₹ 200.<br>Statement-II:<br>The cost of 3 pens, 8 pencils and 7 note books is ₹ 210.
Consider the following for the next ten (10) items that follow :<br>Mark option (a) if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.<br>Mark option (b) if the question can be answered by using either statement alone.<br>Mark option (c) if the question can be answered by using both the statements together, but cannot be answered using either statement alone.<br>Mark option (d) if the question cannot be answered even by using both the statements together.
- A. The question can be answered by using one of the statements alone, but cannot be answered using the other statement alone
- B. The question can be answered by using either statement alone
- C. The question can be answered by using both the statements together, but cannot be answered using either statement alone ✓
- D. The question cannot be answered even by using both the statements together
Correct Answer: C. The question can be answered by using both the statements together, but cannot be answered using either statement alone
Explanation
Let pens=x, pencils=y, notebooks=z. We need 15x+21y+18z = 3(5x+7y+6z). Statement-I: 7x+6y+5z = 200. Statement-II: 3x+8y+7z = 210. Neither is sufficient alone. Adding both gives 10x+14y+12z = 410, which implies 5x+7y+6z = 205. Thus the required cost is 3 \times 205 = 615. Both together are sufficient.
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