CSATNumber System & SeriesDivisibility Divisors and Remainder2022

What is the remainder when 91 x 92 x 93 x 94 x 95 x 96 x 97 x 98 x 99 is divided by 1261?

A

3

B

2

C

1

D

0

Correct Answer: Option D

Explanation

To find the remainder of the large product

More Number System & Series PYQs

What is the unit digit in the multiplication of 1 x 3 x 5 x 7 x 9 x ... x 999?
Let PQR be a 3-digit number, PPT be a 3-digit number and PS be a 2-digit number, where P, Q, R, S, T are distinct non-zero digits. Further, PQR – PS = PPT . If Q = 3 and T < 6, then what is the number of possible values of (R, S) ?
What is the 489th digit in the number 123456789101112...?
The 5-digit number PQRST (all distinct digits) is such that T ≠ 0. P is thrice T. S is greater than Q by 4, while Q is greater than R by 3. How many such 5-digit numbers are possible ?
A natural number N is such that it can be expressed as N = p + q + r, where p, q and r are distinct factors of N. How many numbers below 50 have this property?
A 4-digit number N is such that when divided by 3, 5, 6, 9 leaves a remainder 1, 3, 4, 7 respectively. What is the smallest value of N ?

View all Number System & Series questions →

Master UPSC Revision

Get 10,000+ topic-wise MCQs, spaced repetition, daily CSAT challenges, and detailed performance analytics.

Coming Soon to Play Store

Coming Soon to Play Store