GMAT Problem Solving Absolute Value (Modulus) Most Important Problems for 700 Score Part 3

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Q.1 For how many integer values of , is

(A)

(B)

(C)

(D)

(E) Infinite

Answer: D

Q.2 If is negative and is positive, what is ?

A.

B.

C.

D.

E.

Answer: C

Q.3 If , and . Which of the following could be true?

I.

II.

III.

A. I only

B. II only

C. III only

D. I and III only

E. I, II and III

Answer: E

Q.4 If is any integer from inclusive, how many values of satisfy the following inequality: ?

A.

B.

C.

D.

E.

Answer: C

Q.5 If and , then which of the following must be true?

A.

B.

C.

D.

E.

Answer: D