What is the largest possible value of c if 4c… | GMAT Sprint

Free Practice Question

PS · Problem Solving

505-555

Algebra

What is the largest possible value of $c$ if $4c + (d-10)^2 = 200$ ?

Answer Choices

Correct answer marked below

Correct

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

To find the largest possible value of

c

, we start with the equation

4c + (d-10)^2 = 200

. We want to isolate

c

. First, we can rearrange the equation:

4c = 200 - (d-10)^2

. The term

(d-10)^2

is always non-negative, so to maximize

c

, we need to…

Read the full explanation

Create free account Sign in

Comments

SiddharthJan 22, 2025

thanks!

ChrisFeb 18, 2025

thanks

ChandniMar 28, 2025

Thank for sharing!

KrishanuJan 11, 2025

thank you very much!

ChiamakaDec 27, 2024

thanks

TarushDec 28, 2024

thankss

What this question tests

What it tests

Your ability to manipulate linear and quadratic expressions, substitute unknowns, and solve equations under time pressure.

Common trap

Losing a sign when moving terms across the equals sign, or dividing both sides by a variable that could equal zero.

What is the largest possible value of ccc if 4c+(d−10)2=2004c + (d-10)^2 = 2004c+(d−10)2=200?