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 Simple Interest Compound Interest Questions CAT Number Systems Questions CAT Venn Diagrams Questions CAT Algebra Questions CAT Progressions and Series Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Miscellaneous LR Questions CAT Data Interpretation Basics Questions CAT Data Interpretation Questions CAT Routes And Networks Questions CAT Quant Based LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Odd One Out Questions CAT Critical Reasoning Questions CAT Reading Comprehension Questions CAT Miscellaneous Questions CAT Para Summary 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