Multiple choice

Directions: Read the given statements and select the most appropriate option. Statement-I: If the sum of remainders obtained when 38,64,335 divisible by 382 and 300 is twice the remainder when a least four-digit number is divisible by 32, then that number is 1,021 Statement-II: 45! - 1 is a prime number.

  1. Statement-I is false, but statement-II is true.

  2. Both statement-I and statement-II are true.

  3. Statement-I is true, but statement-II is false.

  4. Both statement-I and statement-II are false.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement-I is true: the remainder calculation for 1021 satisfies the condition. Statement-II is false because 45! - 1 is not necessarily prime; for example, 45! is divisible by many primes less than 45, and 45! - 1 is not guaranteed to be prime.

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