CAT Quantitative Aptitude Questions | CAT Algebra - Functions questions

CAT Questions | Algebra | Functions - Function of a function

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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Explanatory Answer

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
\\frac{x}{y}\\) = 6 + 2 = 8

a) 32-12 = \\frac{32}{12}\\) not equal to 4
b) 8*3 = 82 - 32 = 55 not equal to 4
c) 32 - 8 = \\frac{32}{8}\\) = 4
d) 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?"

Hence the answer is "(x*y) - (\\frac{x}{y}\\)) "

Choice C is the correct answer.


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