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As each student either likes or dislikes coffee, 50% like coffee and 50% dislike it.

1/3 of coffee dislikers also dislike tea --> 1/3 · 50% dislike tea and coffee --> 2/3 · 50% like tea but dislike coffee

(1) 240 students dine in the cafeteria --> 2/3 · 50/100 · 240 = 80 ✅

(2) 120 students like coffee --> 50% like coffee so 100% is 120 · 2 = 240. The total students is the same as in (1), so the result is the same ✅

Correct Answer: E (each alone)

Your answer is correct, each statements are sufficient. But the option you have mentioned is incorrect.

If it’s a typographical error, ignore the below statements, if not make sure this is the standard option for GMAT data sufficiency questions.


A. Statement (1) ALONE is sufficient, but Statement (2) alone is NOT sufficient.

B. Statement (2) ALONE is sufficient, but Statement (1) alone is NOT sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.
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Thanks, just corrected it!

Dereno


Your answer is correct, each statements are sufficient. But the option you have mentioned is incorrect.

If it’s a typographical error, ignore the below statements, if not make sure this is the standard option for GMAT data sufficiency questions.


A. Statement (1) ALONE is sufficient, but Statement (2) alone is NOT sufficient.

B. Statement (2) ALONE is sufficient, but Statement (1) alone is NOT sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.
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Of the students who dine in a cafeteria, each student either likes or dislikes coffee and each student either likes or dislikes tea. Of these students, 50% dislike coffee; of those who dislike coffee, 1/3rd also dislike tea. How many students like tea but dislike coffee?

(1) 240 students dine in the cafeteria.
(2) 120 students like coffee.

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