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

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

**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