Question 97

If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(1) is

Correct Answer: 1

Solution

f(1 * 1) = f(1)f(1)
=> f(1) = f(1)f(1)
=> f(1) = 0 or f(1) = 1
Hence maximum value of f(1) is 1

Share on Whatsapp Share on Whatsapp

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

Video Solution

video

Click on the Email ☝️ to Watch the Video Solution

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 Logarithms, Surds and Indices Questions CAT Time Speed Distance Questions CAT Algebra Questions CAT Linear Equations Questions CAT Averages Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Games and Tournamnents Questions CAT Coins and Weights Questions CAT Puzzles Questions CAT Table based DI Sets Questions CAT Quant Based LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Summary Questions CAT Critical Reasoning Questions CAT Reading Comprehension Questions CAT Miscellaneous Questions CAT Vocabulary Questions

Follow us on

Boost your Prep!

Download App