BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If \(x\) is a positive integer, what is \(x?\)

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

Re: If \(x\) is a positive integer, what is \(x?\)

by deloitte247 » Sat Oct 03, 2020 9:59 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

$$Statement\ 1\ =>\ x^{^2}+7x-18=0$$
$$\ x^{^2}-2x+9x-18=0$$
$$x\left(x-2\right)+9\left(x-2\right)=0$$
$$x+9=0\ or\ x-2=0$$
$$x=-9\ or\ x=2$$
Since x is a positive integer, x is not = -9 but definitely x = 2. Hence, statement 1 is SUFFICIENT

$$Statement\ 2\ =>x^2-7x+10=0$$
$$x^2-5x-2x+10$$
$$x\left(x-5\right)-2\left(x-5\right)$$
$$x-2=0\ or\ x-5=0$$
$$x=2\ or\ x=5$$
Both answers are positive integers so the information provided was not enough to arrive at a definite answer so statement 2 is NOT SUFFICIENT

Since only statement 1 is SUFFICIENT,
Answer = A
Top
Post new topic Post Reply
• Page 1 of 1