GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Nov 2018, 20:43

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### GMATbuster's Weekly GMAT Quant Quiz # 9

November 17, 2018

November 17, 2018

09:00 AM PST

11:00 AM PST

Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

# If 2 < x < 6, Which of the following must be true?

Author Message
TAGS:

### Hide Tags

Intern
Joined: 01 Mar 2014
Posts: 2
Location: India
WE: Consulting (Consulting)
If 2 < x < 6, Which of the following must be true?  [#permalink]

### Show Tags

04 Oct 2016, 08:05
1
00:00

Difficulty:

15% (low)

Question Stats:

72% (01:04) correct 28% (01:28) wrong based on 105 sessions

### HideShow timer Statistics

If 2 < x < 6, Which of the following must be true?

(A) 9 <= x^2 <= 25
(B) 5 < x^2 < 35
(C) 4 < x^2 < 36
(D) 4 <= x^2 <= 36
(E) 5 <= x^2 <= 35
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4488
Re: If 2 < x < 6, Which of the following must be true?  [#permalink]

### Show Tags

05 Oct 2016, 10:26
2
sankalpvishu wrote:
If 2 < x < 6, Which of the following must be true?

(A) 9 <= x^2 <= 25
(B) 5 < x^2 < 35
(C) 4 < x^2 < 36
(D) 4 <= x^2 <= 36
(E) 5 <= x^2 <= 35

Dear sankalpvishu,

I'm happy to respond.

My friend, I don't have a high opinion of this question. It's very much a one-trick-pony. I don't think highly of whatever the source might be.

The whole question depends on understanding that not all numbers are integers. If 2 < x < 6, then x could equal 3, 4, 5, or it could have values such as 5.8 or 2.00000001. It could be infinitely close to 2 or 6 without equaling those numbers. Thus, x^2 could be infinitely close to 4 or 36 without equaling those numbers. The answer must be (C).

Does this make sense?
Mike
_________________

Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2203
If 2 < x < 6, Which of the following must be true?  [#permalink]

### Show Tags

19 Jul 2018, 04:53

Solution

Given:
• 2 < x < 6

Approach and Working:

• 2 < x < 6
• By squaring the inequality, we get: $$4< x^2< 36$$

Hence, the correct answer is option C.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

If 2 < x < 6, Which of the following must be true? &nbs [#permalink] 19 Jul 2018, 04:53
Display posts from previous: Sort by