arrow
arrow
arrow
Find the least number which must be added to the number 6412 to get a perfect square.
Question

Find the least number which must be added to the number 6412 to get a perfect square.

A.

129

B.

181

C.

150

D.

149

Correct option is D

Given:
The number is 6412.
Concept Used:
To find the least number that must be added, first calculate the square root of the given number, then round up to the next whole number. The square of this number minus the given number will give the least number to add.
Solution:
The approximate square root of 6412 is:
641280.09\sqrt{6412} \approx 80.09​​
Rounding up, we take the next whole number, which is 81.
The square of 81:  812=656181^2 = 6561​​
6561 - 6412 = 149
Therefore, the least number to be added is 149.

Free Tests

Free
Must Attempt

CBT-1 Full Mock Test 1

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

RRB NTPC Graduate Level PYP (Held on 5 Jun 2025 S1)

languageIcon English
  • pdpQsnIcon100 Questions
  • pdpsheetsIcon100 Marks
  • timerIcon90 Mins
languageIcon English
Free
Must Attempt

CBT-1 General Awareness Section Test 1

languageIcon English
  • pdpQsnIcon40 Questions
  • pdpsheetsIcon30 Marks
  • timerIcon25 Mins
languageIcon English
test-prime-package

Access ‘RRB NTPC’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
354k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow