What is the remainder when 91 × 92 × 93 × 94 × 95 × 96 × 97 × 98 × 99 is divided by 1261?
0
Calculation:
91 × 92 × 93 × 94 × 95 × 96 × 97 × 98 × 99 is divided by 1261.
Factors of 1261 are 13 and 97.
So, dividing the given expression by 13 × 97.
(91 × 92 × 93 × 94 × 95 × 96 × 97 × 98 × 99)/(13 × 97)
= 7 × 92 × 93 × 94 × 95 × 96 × 98 × 99
It means this expression is completely divisible by 1261.
Hence, option 4 is correct.
Important Questions from Divisibility and Remainder
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Which of the following is/are correct?
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2. S is always divisible by 9.
select the correct answer using the code given below:
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