Question 31

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

Name: If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(1) is
Uploaded: July 3, 2020, 10:14 a.m.
Duration: 55 s
Description: 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

Click on the Email ☝️ to Watch the Video Solution

Create a FREE account and get:

All Quant CAT complete Formulas and shortcuts PDF
35+ 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 Geometry Questions CAT Averages Questions CAT Mensuration Questions CAT Functions, Graphs and Statistics Questions CAT Probability, Combinatorics Questions

CAT DILR Questions | LRDI Questions For CAT

CAT DI Miscellaneous Questions CAT Quant Based LR Questions CAT Venn Diagrams Questions CAT Coins and Weights Questions CAT 2D & 3D LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Miscellaneous Questions CAT Reading Comprehension Questions CAT Para Summary Questions CAT Verbal Ability Questions CAT Grammar and Sentence Correction Questions

Also Read

CAT Mock Tests

CAT 2025 Course

Free CAT Preparation

CAT Questions

CAT Formulas PDF

CAT Study Material

CAT Score vs Percentile

CAT Score Calculator

CAT Percentile Predictor

CAT Sectional Tests

CAT Exam

CAT Prep Videos

CAT Registration

CAT Syllabus 2025

CAT Eligibility Criteria

CAT Admit Card

CAT 2017 QA Question Paper Quant Slot 2 Question

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

Video Solution

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Also Read

Free CAT Quant Questions

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account

Get Started with 5000+ Free CAT Questions & Mock Tests with Detailed Solutions!