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

Get top class preparation for GMAT right from your home: get questions, notes, tests, video lectures and more- for all subjects of GMAT.

**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