arrow
arrow
arrow
Which least number when divided by 12, 15, 20 and 54 leaves a remainder 8 in each case?
Question

Which least number when divided by 12, 15, 20 and 54 leaves a remainder 8 in each case?

A.

540

B.

548

C.

556

D.

532

Correct option is B

Given
​A number when divided by 12, 15, 20, 54 leaves a remainder of 8 in each case.
Concept Used
A number N that leaves the same remainder R when divided by multiple divisors is of the form:
N = LCM of the divisors + R
Solution:
L.C.M of 12, 15, 20, 54 = 540
So, least number will be = 540 + 8 =548
Thus, 548 is the least number when divided by 12, 15, 20, 54 leaves 8 as a remainder.

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 JE’ 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