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 Questions CAT Profit And Loss Questions CAT Venn Diagrams Questions CAT Progressions and Series Questions CAT Remainders Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Miscellaneous LR Questions CAT Coins and Weights Questions CAT Data change over a period Questions CAT Special Charts Questions CAT DI Miscellaneous Questions

CAT Verbal Ability Questions | VARC Questions For CAT

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

Follow us on

Boost your Prep!

Download App