Question 142

Four of the following five parts numbered A,B,C,D,E are in the following equation are exactly equal.Which of the part is not equal to the other four.The number of that part is the answer

Solution

Share

(A) : $$xy^{2}-x^{2}y+2x^{2}y^{2}$$

= $$xy(y-x+2xy)$$

(B) : $$xy^{2}(1-2x)+x^{2}y(2y-1)$$

= $$(xy^2-2x^2y^2)+(2x^2y^2-x^2y)$$

= $$xy^2-x^y = xy(y-x)$$

(C) : $$xy^{2}(1-2x)+x^{2}y(2y-1)$$

= $$(xy^2-2x^2y^2)+(2x^2y^2-x^2y)$$

= $$xy^2-x^y = xy(y-x)$$

(D) : $$xy[y(1+x)-x(1+y)]$$

= $$xy(y+xy-x-xy) = xy(y-x)$$

(E) : $$xy[(x+y)^{2}+y(1-y)-x(1+x)-2xy]$$

= $$xy[(x^2+y^2+2xy)+(y-y^2)+(-x-x^2)-2xy]$$

= $$xy(y-x)$$

=> Ans - (A)

Was this solution helpful?

Get AI Help

Create a FREE account and get:

  • Banking Quant Shortcuts PDF
  • Free Banking Study Material - (15000 Questions)
  • 135+ Banking previous papers with solutions PDF
  • 100+ Online Tests for Free

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI