Question 46

$$7^{6n} - 6^{6n}$$, where n is an integer > 0, is divisible by

Solution

Consider n=1 we have $$7^{6} - 6^{6}$$ which is = $$(7^{3} + 6^{3})(7^{3} - 6^{3})$$ = 13 * 127 * 43 which is divisible by all the 3 options.

Option d) is the correct answer.

Share on Whatsapp Share on Whatsapp

Boost your CAT prep: Take All-India 3 free CAT mock tests with Video solutions

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
38+ CAT previous year papers with video solutions PDF
5000+ Topic-wise Previous year CAT Solved Questions for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Linear Equations Questions CAT Probability, Combinatorics Questions CAT Number Systems Questions CAT Simple Interest Compound Interest Questions CAT Coordinate Geometry Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Charts Questions CAT Data change over a period Questions CAT Arrangement Questions CAT Quant Based DI Questions CAT Coins and Weights Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Vocabulary Questions CAT Miscellaneous Questions CAT Para Jumbles Questions CAT Para Summary Questions CAT Verbal Ability Questions

Also Read

CAT Mock Tests

CAT 2025 Course

Free CAT Preparation

CAT Questions

CAT Formulas PDF

CAT Study Material

CAT Score vs Percentile

CAT Score Calculator

CAT Percentile Predictor

CAT Sectional Tests

CAT Exam

CAT Prep Videos

CAT Registration

CAT Syllabus 2025

CAT Eligibility Criteria

CAT Admit Card

Follow us on

Boost your Prep!

Download App