What is the remainder when 91x92x93x94x95x96x97x98x99 is divided by 1261?
3
2
1
0
The key to solving this question is knowledge of divisibility tests. We check 1261 with all prime numbers one by one. First hit is 13 (2, 3 & 5 can easily be ruled out. Then try 7 and 11). Remaining number ie 1261/13 is 97. 1261 = 1 × 13 × 97 Now, 91 is divisible by 13 and 97 itself is present. So, 1261 will completely divide the expression. Hence, the remainder = 0
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