A number when divided by 296 gives a remainder 75. When the same number is divided by 37, the remainder will be :
A number when divided by 296 gives a remainder 75. When the same number is divided by 37, the remainder will be :
[A]1
[B]2
[C]8
[D]11
1
Let number be x.
∴ x = 296 $latex \times$ Q + 75 where Q is the quotient and can have the value 1, 2, 3 etc.
= 37 $latex \times$ 8 $latex \times$ Q + 37 $latex \times$ 2 + 1
= 37 (8Q + 2) + 1
Thus we see that the remainder is 1.
Hence option [A] is right answer.