Solution Learn the Tricks for CAT & other MBA exams

Answer :  b)37
Detailed Explanation:

50 × 51 × 52 × 53 ×…× 200 => 200! - 49!9 => 3^2[9 is not a prime factor... So we have to find the highest power of 3... From that we can calculate power of 9...]No. of 3's in 200! is 200/3^1 + 200/3^2 + 200/3^3 + 200^3^4 = 66+22+7+2 = 97No. of 3's in 49! is 49/3^1 + 49/3^2 + 49/3^3 = 16+5+1 = 22No. of 3's in 50 × 51 × 52 × 53 ×…× 200 is