Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 02:09 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Of the following, which is most nearly equal to but not greater than

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 56267
Of the following, which is most nearly equal to but not greater than  [#permalink]

### Show Tags

1
7 00:00

Difficulty:   45% (medium)

Question Stats: 57% (01:11) correct 43% (01:09) wrong based on 299 sessions

### HideShow timer Statistics Of the following, which is most nearly equal to but not greater than $$\sqrt{15}$$

A. 3.7
B. 3.8
C. 3.9
D. 4.0
E. 4.1

_________________
Math Expert V
Joined: 02 Aug 2009
Posts: 7764
Re: Of the following, which is most nearly equal to but not greater than  [#permalink]

### Show Tags

Bunuel wrote:
Of the following, which is most nearly equal to but not greater than $$\sqrt{15}$$

A. 3.7
B. 3.8
C. 3.9
D. 4.0
E. 4.1

Hi,
Two points..

1) it will be less than $$\sqrt{16}$$ or 4..
So D and E are out..

2)now 3.9 or 3.8 can be written as (4-.1) or (4-.2)....
When squaring it the MINUS part should be GREATER than 1 as 15 =16-1...
Minus part in 3.9^2 or (4-.1)^2 will be 2*4*.1=0.8, so it will be GREATER than 15.2..
(In case of (4-.2)^2, Minus part will be 2*4*.2=1.6..
B

Otherwise in such Q, just calculate B 3.8,. And then A or C, as B suggests...
Do not start other way, A, B,and C.. 3.7, then 3.8 and then 3.9
_________________
Current Student B
Status: DONE!
Joined: 05 Sep 2016
Posts: 368
Re: Of the following, which is most nearly equal to but not greater than  [#permalink]

### Show Tags

1
We know that sqrt(9) = 3 & sqrt(16) = 4

So sqrt(15) will naturally lie closer to 4.

You can test the remaining choices to determine which is closest to 15 (but NOT over it) & you'll find 3.8^2 = 14.44, making it the correct choice. 3.9^2 = 15.21 which puts you over the cutoff.
Manager  P
Status: Quant Expert Q51
Joined: 02 Aug 2014
Posts: 106
Of the following, which is most nearly equal to but not greater than  [#permalink]

### Show Tags

1
$$\sqrt{15}=\sqrt{x}$$

$$\sqrt{3}=1.73$$

$$\sqrt{5}=2.23$$

$$\sqrt{3}\sqrt{5}=2.23*1.73=3.85$$

_________________
Non-Human User Joined: 09 Sep 2013
Posts: 11667
Re: Of the following, which is most nearly equal to but not greater than  [#permalink]

### Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: Of the following, which is most nearly equal to but not greater than   [#permalink] 09 Aug 2018, 17:19
Display posts from previous: Sort by

# Of the following, which is most nearly equal to but not greater than  