MT1988 wrote:
robu1 wrote:
For consecutive integers x, y, and z, where x > y > z, which of the following CANNOT be the value of ( x2 – y2 ) ( y2 – z2)?
(A) 63
(B) 99
(C) 195
(D) 276
(E) 323
conceptually weak in this Q.
Any body please explain.
(A) 63
(B) 99
(C) 195
(D) 276
(E) 323
conceptually weak in this Q.
Any body please explain.
As we know that x,y and z are consecutive numbers and x > y > z.
I assumed x = y - 1 and z = y + 1
now\(X^2 - Y^2 = (X+Y) (X-Y)\)
= (y-1 +y) (y-1-y)
=-(2y -1)------------------------------------------- (1)
Similarly
\( Y^2 - Z^2 = (Y-Z)\)
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