Q.

By what least number should 1536 be divided to get a perfect cube.


see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

8

b

9

c

10

d

11 

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

Concept- We will begin creating factors of 1536 in accordance with the question provided. This indicates that until the quotient equals 1, we shall begin with the lowest prime number of 1536. Thus, to find the cube root, take all the elements from the number you are dividing and create all the triplet pairs. Then divide the number that is left and does not form a triplet.
As a result, we must use the factorization method to determine the cube root of 1536.
Question ImageQuestion ImageAs there are still 3 numbers left, none of which are triplets, we must divide 1536 by 3 to obtain a perfect cube, which is 1.
Question ImageHence, the correct answer is option 1.
 
Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon