Select Exam

91- 6303239042

Join

CAT WhatsApp Group

Question 44

If u, v, w and m are natural numbers such that $$u^m + v^m = w^m$$, then which one of the following is true?

Solution

Substitute value of u = v = 2, w = 4 and m = 1. Here the condition holds and options A and B are false. Hence, we can eliminate options A and B.

Substitute u = v = 1, w=2 and m= 1. Here m=min(u, v, w). Hence, option C also does not hold. Hence, we can eliminate option C.

Option d) is the correct answer.

Get 3 Free CAT Mock Tests with Expert Video Solutions Get 3 Free CAT Mock Tests

Get AI Help?

View More Questions From Inequalities

Create a FREE account and get:

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

maruti sir image

CAT Quant Questions | CAT Quantitative Ability

CAT Profit And Loss Questions CAT Inequalities Questions CAT Simple Interest Compound Interest Questions CAT Progressions and Series Questions CAT Venn Diagrams Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Games and Tournamnents Questions CAT Venn Diagrams Questions CAT Routes And Networks Questions CAT Quant Based LR Questions CAT Charts Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Grammar and Sentence Correction Questions CAT Odd One Out Questions CAT Para Jumbles Questions CAT Critical Reasoning Questions CAT Para Summary Questions

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!

Enroll Now

cracku download image

Ask our AI anything

AI can make mistakes. Please verify important information.