Question

A number when divided by a divisor D leaves a remainder of 13 when thrice the number is divided by D, the remainder obtained is 2 find the number of possibilities of D. A. 0, B. 1, C. 2, D. 3,​

Answer 1

Answer:

x=m.n+24

2x=m.p+11

⇒ mp+11=2mn+48

⇒ mp=2mn+37

⇒ m(p−2n)=37

∴ m= p−2n37

∴ 37 is prime number & m is integer.

∴ m=37 or 1

∴ m=37 [D]

hope u have Understood

Answer 2

Answer:

Step-by-step explanation:

dq+r is the formula of remaider

dq+13......(1)

3(dq+2)....(2)

adding 1 and 2

(dq + 13) + (3dq +6)

4dq+19

dq = 19/4

dq=3 remainder

3 is a prime number