Quant Question Of The Day: 146
Numbers
Let the product of first thousand even positive integers is A and product of first thousand odd positive integers is B. Find the remainder when A – B is divided by 2001?
1. 2000
2. 1
3. 0
4. None of these
A = 2 × 4 × 6 × … ×1000 × 1002 × … × 1098 × 2000 ≡ (-1999) × (-1997) × (-1995) ×…× (-1001) × (-999) × … × (-3) × (-1) mod 2001 ≡ B mod 2001. => A – B ≡ 0 mod 2001.

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