# Quantitative Aptitude – Algebra – Polynomials – If 9^(2x – 1) – 81^(x-1) = 1944

December 30th, 2019 by

Quantitative Aptitude - Algebra - Polynomials - If 9^(2x – 1) – 81^(x-1) = 1944 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 C

# Quantitative Aptitude – Algebra – Polynomials – If u^2 + (u-2v-1)^2

December 21st, 2019 by

Quantitative Aptitude – Algebra - Polynomials – If u^2 + (u-2v-1)^2 Slot -1 – Quantitative Aptitude – Algebra - Polynomials – If u^2 + (u-2v-1)^2 If u^2 + (u-2v-1)^2 = -4v(u + v), then what is the value of u + 3v? a) -1/4 b) ½ c) 0 d) ¼ Solution: Given, u^2 + (u-2v-1)^2 = -4v(u + v) Or u^2+4vu+4 v^2 +(u-2v-1)^2 = 0 (u+2v)^2+ (u-2v-1)^2= 0 This will be zero only if u = -2v = 2v + 1 Or v = -1/4 & u = ½ So u + 3v = -1/4 Option a) -1/4 is correct. Other posts related to Quantitat