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Vipra Shrivastava
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Updated on Jul 8, 2026 00:33 IST
CAT Logarithm Questions are a regular feature in the exam paper. They appear in Quantitative Aptitude section and often quick to do. There are usually 1-2 Logarithm questions in the CAT question paper every year. Check below a few CAT Logarithm Questions for practice.

CAT Logarithm Questions are a regular feature in the exam paper. They appear in Quantitative Aptitude section and often quick to do. There are usually 1-2 Logarithm questions in the CAT question paper every year. CAT 2026 aspirants must study Hidden Quadratic Substitutions, Base Change Rule, Logarithmic Inequalities & Domain Constraints, Telescoping Series Loops, Character Mapping and Domain Restrictions and Inequality Intercepts, to master this topic of exam.

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Check below a few CAT Logarithm Questions for practice. Solve them to evaluate your hold on this topics. You should regularly practice previous years’ questions as part of your CAT 2026 preparation. Also find the CAT Logarithm guide book PDF for free download.  

CAT Logarithm Questions with Solutions

Sample CAT Logarithm Questions with Solutions

Q1. Basic Evaluation EASY

Evaluate: log2(32)

(A) 4

(B) 5

(C) 6
(D) 3

Q2. Sum-to-Product Equation MEDIUM

Solve for x (x > 1): log(x−1) + log(x+1) = log 3

(A) x = 1.5

(B) x = 2

(C) x = 2.5
(D) x = 3

Q3. Multi-base Combination HARD

Solve for x: log2(x) + log4(x) + log8(x) = 11

(A) x = 32

(B) x = 64

(C) x = 128
(D) x = 256

Q4. Number of Digits MEDIUM

Using log 5 = 0.6990, find the number of digits in 515.

(A) 10

(B) 11

(C) 12

(D) 9

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Vipra Shrivastava
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