The function f is defined for all numbers x by f(x)=x+c, where c is a constant. What is the value of f(10) ? (1) f(0)=6 (2) f(c)=12

Correct Answer is : EACH statement ALONE is sufficient.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

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

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

GMAT Quantitative Reasoning Practice Test 8

Question : 57 of 76

Marks: +1, -0

The function

f

is defined for all numbers

x

f(x)=x+c

, where

c

is a constant. What is the value of

f(10)

?
(1)

f(0)=6

(2)

f(c)=12

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.

Solution:

The value of

c

is required.
(1)

f(0)=0+c=6 ⇒ c=6

(2)

f(c)=c+c=12 ⇒ 2 c=12 ⇒ c=6 f(10)=10+6=16

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