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. What is the value of the divisor?
A. 12
B. 13
C. 35
D. 37
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Let
a= d+24 ------------------------ (1)
2a=kd+11 ------------------------ (2)
Multiply equation (1) by (2) and subtract 1 from 2
0 = d (k - 2) -37 ---------- (3)
Because 37 is prime number, equation would make sense if k=3, hence answer would be 37 (D).