GRE® Quantitative Comparison Q2

Algebra | GRE Sample Questions | Quadratic Equations

This GRE quant sample question is a Quantitative Comparison question in Algebra. Concept tested: Comparison of quadratic equations.

Question 2 : \\frac{x}{y}) < 0

Quantity A Quantity B
(4x + 3y)(x – 6y) 4x2 + 16xy – 18y2

  1. Quantity A is greater
  2. Quantity B is greater
  3. The two quantities are equal
  4. Cannot be determined

Get to 170 in GRE Quant

Online GRE Courses
From INR 2999

Video Explanation

GRE Live Online Classes

Starts Fri, August 26, 2022

Explanatory Answer | GRE Quantitative Comparison Q2

Step 1 of solving this GRE Algebra Question: Evaluate both the quantities

Quantity A: (4x + 3y)(x – 6y) = 4x2 - 24xy + 3xy – 18y2
= 4x2 - 21xy – 18y2

Quantity B: 4x2 + 16xy – 18y2

Step 2 of solving this GRE Algebra Question: Comparison both the Quantities

Quantity A: 4x2 - 21xy – 18y2
Quantity B: 4x2 + 16xy – 18y2

The comparison is essentially between -21xy and 16xy.
We know \\frac{x}{y}) < 0
i.e., one of x or y is positive and the other is negative.
Therefore, we can infer that xy < 0

If xy is negative, then -21xy will be positive and 16xy will be negative.
A positive value is greater than a negative value.

Hence, Quantity A > Quantity B.

Choice A is the correct answer

GRE Online Course - Quant
Try it free!

Register in 2 easy steps and
Start learning in 5 minutes!

★ Sign up

Already have an Account?

★ Login

GRE Live Online Classes

Next Batch August 26, 2022

★ GRE Live Info

GRE Online Preparation | GRE Algebra Videos On YouTube

Additional Practice Questions in Algebra

GRE Questionbank | Topicwise GRE Sample Questions

Where is Wizako located?

Wizako - GMAT, GRE, SAT Prep
An Ascent Education Initiative
14B/1 Dr Thirumurthy Nagar 1st Street
Chennai 600 034. India

Work @ Wizako

How to reach Wizako?

Mobile: (91) 93800 48484
WhatsApp: WhatsApp Now
Leave A Message