correct answer is: a) 2885

Explanation

To find the required least number first we must find the LCM of the numbers 48,64,90,120. Then number 5 should be added with the LCM.
Now,
LCM of 48,64,90 and 120 is:
\rightarrow2\times2\times2\times2\times3\times3\times4\times5=2880
So that, the required least number is =\left(2880+5\right)
\rightarrow 2885
Ans: The required least number must 5 be subtracted so that the remainder may be exactly divisible by 48,64,90,120 is 2885.

These precise math questions can also be expressed as:

1. What is the least number from which 5 must be subtracted so that the remainder is exactly divisible by 48, 64, 90, and 120?
2. If 5 is subtracted from a certain number, the resulting remainder is exactly divisible by 48, 64, 90, and 120. What is the least possible value of this number?
3. Given that subtracting 5 from a certain number yields a remainder that is divisible by 48, 64, 90, and 120, what is the smallest such number?
4. If a number is reduced by 5 and the resulting remainder is divisible by 48, 64, 90, and 120, what is the smallest possible value of this number?