What is the remainder when

$91 \times 92 \times 93 \times 94 \times 95 \times 96 \times 97 \times 98 \times 99$

is divided by 1261?

Kepler. Discussing PYQs. Q.no. 58

What is the remainder when 91×92×93×94×95×96×97×98×9991 \times 92 \times 93 \times 94 \times 95 \times 96 \times 97 \times 98 \times 9991×92×93×94×95×96×97×98×99 is divided by 1261?