Quantitative Aptitude

Quantitative Aptitude – Algebra – Logarithms

Question

The value of log (base 0.008) √5 + log (base√3) 81 – 7 is equal to

A) 1/3
B) 2/3
C) 5/6
D) 7/6

Answer

Option (C)

Solution

As per CAT 2017 – Quantitative Aptitude – Algebra – Logarithms, we can see that
log(base 0.008)5^(1/2) = -1/6
Log (base 3^1/2) 3^4 = 8
So, -1/6 + 8 – 7 = 5/6
Option (C)

Logarithm Concepts Questions and Answers for CAT 2018 Quant Preparation

Q1: If log (2^a × 3^b × 5^c) is the arithmetic mean of log (2^2 × 3^3 × 5), log (2^6 × 3 × 5^7), and log(2 × 3^2 × 5^4), then a equals
Check answer of logarithm Q1
Q2: If x is a real number such that log(base 3)5 = log(base 5)(2 + x), then which of the following is true? Check answer of logarithm Q2
Q3: Suppose, log(base3)x = log(base12)y = a, where x, y are positive numbers. If G is the geometric mean of x and y, and log(base6)G is equal to
Check answer of logarithm Q3

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

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