# CAT Quantitative Aptitude Questions | CAT Algebra - Functions questions

###### CAT Questions | Algebra | Functions - Function of a function
CAT Questions

The question is about Function of a function. This is about deriving a new function from given functions. Functions is a simple topic which involves a lot of basic ideas. Make sure that you a get of hold of them by solving these questions. A range of CAT questions can be asked based on this simple concept of Functions questions in the CAT Exam. Make sure you practice a lot of questions in CAT Functions Algebra to push your CAT preparation in the right direction. Functions as an idea is a fabulous idea if one can wrap their head around it the right way, and it has been one of the staple ideas tested by the CAT exam historically.

Question 13: For this question, assume the following operators:
A*B = A2 - B2
A-B = $$frac{A}{B}\\$ A+B = A * B $\frac{A}{B}\\$ = A+B Which of the following expression would yield the result as x subtracted by y? 1.$x*y)-(x+5)
2. ($$frac{x}{y}\\$)*$x-y)
3. (x*y) - ($$frac{x}{y}\\$) 4.$x+y)*(x-y)

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##### Method of solving this CAT Question from CAT Algebra - Functions: Were you able to solve this one by the given way?

Never solve each expression. Solve by assigning values of x and y

Let x = 6, y = 2 Therefore, required x – y = 4
x*y = 62 – 22 = 32
x-y = $$frac{6}{2}\\$ = 3 x+y = 6 * 2 = 12 x+5 = 6 * 5 = 30 $\frac{x}{y}\\$ = 6 + 2 = 8 a)$x*y)-(x+5) = 32-30 = $$frac{32}{30}\\$ not equal to 4 b)$$$frac{x}{y}\\$)*$x-y) = 8*3 = 82 - 32 = 55 not equal to 4
c) (x*y) - ($$frac{x}{y}\\$) = 32 - 8 = $\frac{32}{8}\\$ = 4 d)$x+y)*(x-y) = 12*3 = 122 - 32 not equal to 4

The question is "Which of the following expression would yield the result as x subtracted by y?"

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