Question 42

$$n^3$$ is odd. Which of the following statement(s) is/are true?
I. $$n$$ is odd.
II.$$n^2$$ is odd.
III.$$n^2$$ is even.

Solution

if $$n^3$$ is odd then $$n$$ will be odd. let's say it is $$2k+1$$
then $$n^2$$ will be = $$(4k^2 + 4k + 1)$$ which will be odd
Hence answer will be C.

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
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 Number Systems Questions CAT Algebra Questions CAT Probability, Combinatorics Questions CAT Simple Interest Compound Interest Questions CAT Linear Equations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Maxima-Minima Questions CAT Truth Lie Concept Questions CAT Table with Missing values Questions CAT Miscellaneous LR Questions CAT Quant Based LR Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Summary Questions CAT Miscellaneous Questions CAT Reading Comprehension Questions CAT Para Jumbles 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 1998 DILR Question

$$n^3$$ is odd. Which of the following statement(s) is/are true? I. $$n$$ is odd. II.$$n^2$$ is odd. III.$$n^2$$ is even.

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 DILR 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!

$$n^3$$ is odd. Which of the following statement(s) is/are true?
I. $$n$$ is odd.
II.$$n^2$$ is odd.
III.$$n^2$$ is even.