State whether the given statement is true or false.

The number 5324 is a perfect cube.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

True

False

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The given number is 5324.
Find the prime factorization of 5324.

25324226621113311112111111

Prime factors of

5324 = 2 × 2 × 11 × 11 × 11 ¯ .

Since, all the prime factors of 5324 don’t occur in triplet, therefore, given number 5324 isn’t a perfect cube.
Therefore, the given statement is false.
Hence, option (2) is correct.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!