Harshit401 wrote:

If

a×b×c=d×e×f=b×g×e

and each one's value is in between 1-9 and distinct. What is the value of g?

(A) 8

(B) 9

(C) 2

(D) 6

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GMAT Club Forum mobile appHi Harshit401,

5, 7 can't be any variable among a, b, c, ... , f, g, since they are prime numbers and they showed up just once.

Hence a, b, c, ... g are from 1, 2, 3, 4, 6, 8, 9

(axbxc)x(dxexf)x(bxgxe) is the type of 2^(3k) * 3^(3n), but axbxcxdxexfxg = 1x2x3x4x6x8x9 = 2^7 * 3^4.

And so b * e = 2^2 * 3^2 and (axbxc) = (dxexf) = (bxgxe) = 2^3 * 3^2.

Therefore g = 2

Happy Studying!

Math Revolution Team

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