gmatpapa wrote:

Which of the following is NOT a factor of the product of the first 50 positive multiples of 4 ?

A. \(17^2\)

B. \(11^4\)

C. \(7^6\)

D. \(47^{12}\)

E. \(2^{124}\)

4^50×(1.2.3.4.5.6.7..............................50)

= 4^50 (1.2.3.4.................50)

17^2 = 17 ×17 (we have 17 and 34) so this is a factor.

11× 11× 11× 11 (we have 11,22,33,44) so this is a factor.

7 × 7× 7× 7 ×7 ×7 (we have 7,14,21,28,35,42) so this is a factor.

2^124 = (4)^62 . Now 4^50 / 4^62 = 1/4^12 = 1/(4 . 4 . 4. 4. 4. 4. 4. 4. 4. 4. 4. 4) we have (4,8,12,16,20,24,28,32,36,40,44,48) . so this is also a factor.

These left only one as the guilty and it's 47^12

_________________

Asif vai.....