There is a number greater than 1 which when divided by 4, 5 and 6 leaves the same reminder 3 in each case. Find the largest number smaller than 500 which satisfies the given condition.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 483.
Calculations:
LCM of 4, 5 and 6 is 60
So, the number below 500 which is divisible by 60 is 480.
480 is completely divisible by 60
Such that to leave a remainder 3 we add 3 in 480
⇒ 480 + 3 = 483
Thus, the number is 483.