Question

Question: What is the total weight of 12 metal discs having equal weight?
Statements:
I. Half of the weight of a metal disc is 8 kg.
II. The total weight of 4 discs is 32 kg more than the total weight of two discs.

• A. Statement I is sufficient but statement II is not sufficient
• B. Statement II is sufficient but statement I is not sufficient
• C. Either statements I or II is sufficient
• D. Both the statements together are not sufficient

Hint:

In data sufficiency, test each statement independently.

Answer 1

The Correct Option is C

Concept: Data sufficiency using algebra. Let weight of one disc = $x$. From Statement I: Half weight = 8 kg \[ x/2 = 8 \Rightarrow x = 16 \] Weight of 12 discs: \[ 12 \times 16 = 192 \text{ kg} \] Sufficient. From Statement II: Weight of 4 discs is 32 more than weight of 2 discs: \[ 4x = 2x + 32 \Rightarrow 2x = 32 \Rightarrow x = 16 \] Again sufficient. Thus, either statement alone works.