If x, y, z are non-zero numbers and x + xy^{2} = z^{3}, then which of the following is NOT equal to 1?

- a)
- b)
- c)
- d)
- e)

Correct answer is option 'C'. Can you explain this answer?

Related Test: Test: Simplifying Expression

Harmanjot Singh
answered
Apr 07, 2020

Given equation is

x+xy^{2 }=^{ }z^{3}

This can be rewritten as:

x(1+y^{2}) = z^{3 } …………….. (I)

We need to find the option statement whose value is not equal to 1.

Now let us look at each option.

This is same as

…………….. Expression A

From (I), we know that the numerator and denominator of Expression A are equal.

Therefore the value of Expression A is 1.

This can be rewritten as:

We already saw in the previous option that this is equal to 1.

This can be rewritten as:

From I, we can rewrite this as:

………….. Expression C

It is given that y is a non-zero number. Therefore, the value of (1+y^{2}) is always greater than 1.

So, Expression C cannot be equal to 1.

This can be rewritten as:

From options A and B, we already know that this expression is equal to 1.

We already know that this expression is equal to 1.

This discussion on If x, y, z are non-zero numbers and x + xy2 = z3, then which of the following is NOT equal to 1?a)b)c)d)e)Correct answer is option 'C'. Can you explain this answer? is done on EduRev Study Group by GMAT Students. The Questions and
Answers of If x, y, z are non-zero numbers and x + xy2 = z3, then which of the following is NOT equal to 1?a)b)c)d)e)Correct answer is option 'C'. Can you explain this answer? are solved by group of students and teacher of GMAT, which is also the largest student
community of GMAT. If the answer is not available please wait for a while and a community member will probably answer this
soon. You can study other questions, MCQs, videos and tests for GMAT on EduRev and even discuss your questions like
If x, y, z are non-zero numbers and x + xy2 = z3, then which of the following is NOT equal to 1?a)b)c)d)e)Correct answer is option 'C'. Can you explain this answer? over here on EduRev! Apart from being the largest GMAT community, EduRev has the largest solved
Question bank for GMAT.

Ask a question

- Plz explain
Doc | 1 Page

- Building Line Following and Food Following Robots
Doc | 19 Pages

Upgrade to Infinity