Question

When 1,000 children were inoculated with a certain vaccine, some developed inflammation at the site of the inoculation and some developed fever. How many of the children developed inflammation but not fever?
(1) 880 children developed neither inflammation nor fever.
(2) 20 children developed fever.
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.

Answer 1

Answer: C

Step-by-step explanation: C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Total: 1000

20 had fever, so 1000 - 20 = 980 who did not have fever

Total who did not have fever: 980

As 880 not fever and not inflamation, 980 - 880 = 100

So, 100 had inflamation but not fever.

We need the 2 statements and they alone do not answer the question