Question 3

The remainder when $$7^{84}$$ is divided by $$342$$ is :

Solution

$$7^3$$ = 343

$$7^{84}$$ = $$(7^3)^{28}$$ = $$343^{28}$$

$$343^{28}$$ mod 342 = $$1^{28}$$ mod 342 = 1

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 Time Speed Distance Questions CAT Quadratic Equations Questions CAT Progressions and Series Questions CAT Mensuration Questions CAT Coordinate Geometry Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Games and Tournamnents Questions CAT 2D & 3D LR Questions CAT Data Interpretation Basics Questions CAT Scheduling Questions CAT Arrangement Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Odd One Out Questions CAT Grammar and Sentence Correction Questions CAT Miscellaneous Questions CAT Critical Reasoning Questions CAT Vocabulary Questions

Follow us on

Boost your Prep!

Download App