CAT Logarithm Questions with Solutions PDF

Common Admission Test 2026 ( CAT )

Abhishek Dhawan
Updated on Jul 30, 2026 00:50 IST

By Abhishek Dhawan, Deputy Manager - MBA & BBA Content

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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Practice a good number of questions of easy, medium and hard difficulty level. Check below a few CAT Logarithm Questions for practice. Also find CAT Logarithm guide book PDF for free download.  

Also Read: CAT 2026 preparation

Table of contents
  • Sample CAT Logarithm Questions with Solutions
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Sample CAT Logarithm Questions with Solutions

Question 1. Calculate: log 2(32)

(A) 4
(B) 5
(C) 6
(D) 3

Question 2. 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

Question 3. Solve for x: log2(x) + log4(x) + log8(x) = 11

(A) x = 32
(B) x = 64
(C) x = 128
(D) x = 256

Question 4. Using log 5 = 0.6990, find the number of digits in 515.

(A) 10
(B) 11
(C) 12
(D) 9

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Answered 17 hours ago

Candidates should spend no more than 1.5 to 2 minutes on an Odd One Out question.

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Abhishek Dhawan

Contributor-Level 10

Answered 17 hours ago

Many top scorers spend the first 8-10 minutes tackling independent VA questions, including Odd One Out and Para Summary, before settling into long RC passages.

Candidates preparing for CAT must devise a exam day plan based on how they perform during mocks.

V

Vikram Tyagi

Contributor-Level 7

Answered 17 hours ago

In most of the recent CAT exam sessions, Odd One Out questions have appeared as TITA (Type In The Answer) questions with no negative marking.

L

Loveleen Sharma

Contributor-Level 7

Answered 21 hours ago

Candidates can refer to How to Prepare for Logical Reasoning for CAT by Arun Sharma and DI & LR for CAT by Nishit K. Sinha. 

P

Porishmita Paul

Contributor-Level 10

Answered 21 hours ago

Yes, Caselets are important for CAT DILR. They help develop skills in interpreting data, identifying relationships and solving logical problems.

P

Porishmita Paul

Contributor-Level 10

Answered 21 hours ago

CAT does not have a fixed number of questions from Caselets. Usually, one Caselet-based set with 4-5 questions may appear in the DILR section.

P

Porishmita Paul

Contributor-Level 10

Answered 21 hours ago

Candidates can refer to High School English Grammar and Composition by Wren and Martin. CAT previous-year questions, grammar exercises and mock tests are also useful.

P

Porishmita Paul

Contributor-Level 10

Answered 21 hours ago

Yes, understanding Parts of Speech helps candidates improve grammar, sentence correction, para completion and overall Verbal Ability skills.

P

Porishmita Paul

Contributor-Level 10

Answered 21 hours ago

CAT does not have a fixed number of questions from Parts of Speech. The topic is usually tested indirectly through grammar and Verbal Ability questions.

P

Porishmita Paul

Contributor-Level 10

Answered 22 hours ago

Choose a coaching institute that will minimise daily travel time, as daily traffic across major corridors can cause commute fatigue. Centres near metro stations (such as Central, Park Street, or Salt Lake Sector V) are usually the easiest to reach.

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Rohini Bisht

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