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

Your Doubts

Ask a Doubt (know more)

Drop Your File Here!

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 Arithmetic Questions CAT Time And Work Questions CAT Number Systems Questions CAT Algebra Questions CAT Averages Mixtures Alligations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Truth Lie Concept Questions CAT Miscellaneous LR Questions CAT Selection With Condition Questions CAT Special Charts Questions CAT 2D & 3D LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Critical Reasoning Questions CAT Verbal Ability Questions CAT Para Jumbles Questions CAT Vocabulary Questions CAT Grammar and Sentence Correction Questions

Follow us on

Boost your Prep!

Download App