Number system
When the number 777 is divided by the integer N, the remainder is 77. How many integer possibilities are there for N?
A. 2
B. 3
C. 4
D. 5
E. 6
Hi Nitesh,
Answer should be D = 5.
Kindly let us know what you didn’t understand in the question ? Its better to reply to the specifics.
For any number N, if “d” is the divisor, “q” is the quotient and “r” is the remainder, then it can be written as,
N = d* q + r
given, N = 777 and r = 77
777 = d*q + 77
d*q = 700
Remember that, divisor has to be greater than the remainder,
So, find out the factors of 700, and the values greater than 77 should be the answer.
So, here it would be 700, 350, 175, 140, 100
So the answer is 5.
