The divisor is 37 and as such cannot be determined from the options
How to find the divisor?
Let ‘x’ be the number which is a number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor the remainder is 11.
So let us assume d as the divisor. So divisor is a number by which another number is to be divided. Or a number that divides into another without a remainder.
So now we have ‘d’ as the divisor and ‘x’ as the number. By taking this, we will form an equation.
So we have our standard equation that is dividend = divisor × quotient + remainder
Hence now first we will write the equation for the given numbers.
So dividend(x)=divisor(d) x quotient (m) +remainder (24)
So this also can be written as:
x = md + 24 ------(i)
Then we have another statement given that When twice the original number is divided by the same divisor the remainder is 11.
So we have 2x=nd+11 ----(ii)
Hence we have twice the equation (i) as equation(ii). Thus:
2(md + 24) = nd + 11
2md + 48 = nd + 11
2md - nd = -37
d(n - 2m) = 37
d = 37/(n - 2m)
Thus, the divisor is 37.