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26 Feb 2026, 20:00
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (01:40) correct
15%
(01:32)
wrong
based on 54
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Among the employees of a trading firm, is the number of researchers who majored in mathematics greater than those who majored in finance?
(1) There were more researchers who majored in economics than those who majored in mathematics.
(2) There were more researchers who majored in economics than those who majored in finance.
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26 Feb 2026, 23:38
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ExpertsGlobal5
Let the total population for finance, economics and mathematics is F, E and M.
We need to find: Is 44% M greater than 33% F. ?
Statement 1:
There were more researchers who majored in economics than those who majored in mathematics.
61% E > 44%M
Without knowing E and M. We cannot conclusively say anything.
Hence, Insufficient
Statement 2:
There were more researchers who majored in economics than those who majored in finance.
61% E > 33 % F
Without knowing E and F. We cannot conclusively say anything.
Hence, Insufficient
Combine both statements 1 and 2, we get
61% E > 44%M And 61% E > 33% F
We have three cases;
1. M=F,
2. M> F
3. M< F
We cannot deny these three cases, without the value of M and F.
Hence, Insufficient
Option E
27 Feb 2026, 05:14
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The key concept being tested here is comparing two quantities using only indirect information through a third — one of the trickiest traps in Data Sufficiency.
Before touching the statements, translate the question using the pie charts:
- Finance: 33% are researchers → Researchers in Finance = 0.33F
- Economics: 61% are researchers → Researchers in Economics = 0.61E
- Mathematics: 44% are researchers → Researchers in Mathematics = 0.44M
The question asks: Is 0.44M > 0.33F?
Step 1 — Evaluate Statement 1: "More economics researchers than mathematics researchers" → 0.61E > 0.44M. This tells us Economics > Math, but says nothing about Finance. Insufficient.
Step 2 — Evaluate Statement 2: "More economics researchers than finance researchers" → 0.61E > 0.33F. This tells us Economics > Finance, but says nothing about Math. Insufficient.
Step 3 — Combine both statements: Now we know Economics is the largest. But do we know whether Math or Finance is second? No. Consider two scenarios:
- If M = 100, F = 200, E = 1000 → Math researchers = 44, Finance researchers = 66. Finance > Math. Answer: No.
- If M = 200, F = 100, E = 1000 → Math researchers = 88, Finance researchers = 33. Math > Finance. Answer: Yes.
Both scenarios satisfy both statements, but give opposite answers. Combined is still Insufficient.
Answer: E
Common trap: Students see that both statements involve the same third quantity (Economics) and assume the combination must pin down the relationship between Math and Finance. It doesn't — you still have no constraint on the relative sizes of the Math and Finance departments.
Takeaway: Whenever DS asks you to compare A and B but both statements only give you info about A vs C and B vs C, test numbers to check if A and B can swap positions while keeping C the largest.
— Kavya | 725 (GMAT Focus) | Founder @ edskore.com
Before touching the statements, translate the question using the pie charts:
- Finance: 33% are researchers → Researchers in Finance = 0.33F
- Economics: 61% are researchers → Researchers in Economics = 0.61E
- Mathematics: 44% are researchers → Researchers in Mathematics = 0.44M
The question asks: Is 0.44M > 0.33F?
Step 1 — Evaluate Statement 1: "More economics researchers than mathematics researchers" → 0.61E > 0.44M. This tells us Economics > Math, but says nothing about Finance. Insufficient.
Step 2 — Evaluate Statement 2: "More economics researchers than finance researchers" → 0.61E > 0.33F. This tells us Economics > Finance, but says nothing about Math. Insufficient.
Step 3 — Combine both statements: Now we know Economics is the largest. But do we know whether Math or Finance is second? No. Consider two scenarios:
- If M = 100, F = 200, E = 1000 → Math researchers = 44, Finance researchers = 66. Finance > Math. Answer: No.
- If M = 200, F = 100, E = 1000 → Math researchers = 88, Finance researchers = 33. Math > Finance. Answer: Yes.
Both scenarios satisfy both statements, but give opposite answers. Combined is still Insufficient.
Answer: E
Common trap: Students see that both statements involve the same third quantity (Economics) and assume the combination must pin down the relationship between Math and Finance. It doesn't — you still have no constraint on the relative sizes of the Math and Finance departments.
Takeaway: Whenever DS asks you to compare A and B but both statements only give you info about A vs C and B vs C, test numbers to check if A and B can swap positions while keeping C the largest.
— Kavya | 725 (GMAT Focus) | Founder @ edskore.com
