# GMAT Problem Solving Absolute Value (Modulus) Most Important Problems for 700 Score Part 2

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**Q. 1 How many different values of y satisfy**

A.

B.

C.

D.

E.

Answer: A

**Q. 2 What is the number of solutions of**

A.

B.

C.

D.

E.

Answer: C

**Q. 3 A sequence of numbers (geometric sequence) is given by the expression**:

. **If the sequence begins with** , **what are the first two terms for which** **?**

A.

B.

C.

D.

E.

Answer: D

**Q. 4 Given that** , **which of the following values for** **yields the lowest value for** **?**

A.

B.

C.

D.

E.

Answer: B

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

**(I)**

**(II)**

**(III)**

A. I only

B. II only

C. I and II only

D. II and III only

E. None of the above.

Answer: E