This is a
Data Sufficiency question. We need to determine whether the given information is enough to answer:
Quote:
Can Mr. Aubrey make
at least 100 pendants using 150 oz gold and 450 oz silver?
Given
- Gold = 150 troy oz
- Silver = 450 troy oz
Statement (1)
Quote:
Each silver pendant requires 4.5 oz silver and 0.5 oz gold.
For
100 silver pendants:
Silver required:
100(4.5)=450 oz100(4.5)=450\text{ oz}
Gold required:
100(0.5)=50 oz100(0.5)=50\text{ oz}
He has:
- Silver = 450 oz ✅
- Gold = 150 oz ✅
So he
can definitely make 100 silver pendants.
Therefore,
Statement 1 alone is sufficient. ✅
Statement (2)
Quote:
Each gold pendant requires 4.5 oz gold.
He has 150 oz of gold.
Number of gold pendants:
1504.5=33.33\frac{150}{4.5}=33.33
So he can make only
33 complete gold pendants, not 100.
But here's the important point:
we don't know how much material a silver pendant requires.He has 450 oz of silver, but without knowing the silver pendant's requirements, we cannot determine whether he can make 100 silver pendants.
Therefore,
Statement 2 alone is NOT sufficient. ❌
Final Answer:
A — Statement (1) alone is sufficient.
| Statement | Sufficient? | Why? |
|---|
| 1 | ✅ Yes | Can make exactly 100 silver pendants |
| 2 | ❌ No | Can make only 33 gold pendants, but silver pendant requirements are unknown |
A\boxed{\text{A}}
🔑 Important Data Sufficiency trick
Don't ask
"Can I calculate something?"Ask:
Quote:
"Can I answer the YES/NO question with certainty?" For Statement 2, knowing he can make only 33 gold pendants
doesn't tell us whether he can make 100 silver pendants, so it isn't sufficient.
SuchTask
This question flips the order of silver and gold twice. This is atypical of GMAT questions.