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.

  1. A. The question can be answered by using one of the statements alone, but cannot be answered using the other statement alone
  2. B. The question can be answered by using either statement alone
  3. C. The question can be answered by using both the statements together, but cannot be answered using either statement alone
  4. 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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