If 847 × 385 × 675 × 3025 = 3a × 5b × 7c × 11d, then the value of ab - cd is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 5
847 × 385 × 675 × 3025 = 3a × 5b × 7c × 11d
Price factorization of 847 = 7 × 112
385 = 5 × 7 × 11
675 = 33 × 52
3025 = 52 × 112
On combining we get,
33 × 55 × 72 × 115 = 3a × 5b × 7c × 11d
On comparing we get,
a = 3, b = 5, c = 2 and d = 5
ab - cd = 15 - 10 = 5.