Which one of the following is the smallest number by which 2880 must be divided in order to make it a perfect square ?

examrobotsa's picture

Submitted by examrobotsa on

Q: 88 (CAPF/2017)

Which one of the following is the smallest number by which 2880 must be divided in order to make it a perfect square ?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,21,20,7,9,21,4

keywords: 

{'perfect square': [0, 0, 0, 2], 'smallest number': [0, 0, 0, 1]}

To determine the smallest number by which 2880 must be divided in order to make it a perfect square, we need to find a number that, when divided into 2880, leaves a perfect square.

Let`s evaluate each option:

Option 1: Divide 2880 by 3. The result is 960, which is not a perfect square.

Option 2: Divide 2880 by 4. The result is 720, which is not a perfect square.

Option 3: Divide 2880 by 5. The result is 576, which is a perfect square (24^2).

Option 4: Divide 2880 by 6. The result is 480, which is not a perfect square.

Therefore, the correct answer is Option 3: 5. By dividing 2880 by 5, we get 576, which is a perfect square, making it the smallest number by which 2880 must be divided to make it a perfect square.