**Quantitative Aptitude – Algebra – Polynomials**

**Question**

If 9^(2x – 1) – 81^(x-1) = 1944, then x is

A) 3

B) 9/4

C) 4/9

D) 1/3

**Answer**

Option (B)

**Solution**

From CAT 2017 – Quantitative Aptitude – Algebra – Polynomials, we can see that,

9^(2x-1) – 9^(2x-2) = 1944

It can be written as 3^(4x)/9 – 3^(4x)/81 = 1944

8(3^(4x)/81) = 1944

x =9/4

Option (B)

## Download CAT 2017 Question Paper with answers and detailed solutions in PDF

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