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

 It is currently 16 Jul 2019, 13:37

### 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

# The number of integers values of 'x', for which (3-(10 -x^(1/2)

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

VP
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
The number of integers values of 'x', for which (3-(10 -x^(1/2)  [#permalink]

### Show Tags

14 Jul 2018, 08:34
1
8
00:00

Difficulty:

75% (hard)

Question Stats:

56% (02:14) correct 44% (02:33) wrong based on 70 sessions

### HideShow timer Statistics

The number of integer values of 'x', for which $$(3-(10 -x^{\frac{1}{2}})^{\frac{1}{2}})^{\frac{1}{2}}$$ is a real number, lies between :

(A) 89 and 95
(B) 94 and 100
(C) 99 and 105
(D) 104 and 110
(E) 109 and 115
Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: The number of integers values of 'x', for which (3-(10 -x^(1/2)  [#permalink]

### Show Tags

14 Jul 2018, 09:05
3
Lupine wrote:
Can anyone please tell, how to attempt this question.

Hi..
attempt this by ensuring the part under square root is NOT <0

so the solution would be

$$(3-(10 -x^{\frac{1}{2}})^{\frac{1}{2}})^{\frac{1}{2}}$$

so $$\sqrt{10-x^{1/2}}\geq{0}.................\sqrt{x}\leq{10}...............x\leq{100}$$

Also $$\sqrt{10-x^{1/2}}\leq{3}....................10-\sqrt{x}\leq{9}.............\sqrt{x}\geq{1}..........x\geq{1}$$

so values are from 1 to 100, so 100 values

since we are looking for a choice which includes 100 in the range
C. between 99 to 104 is the answer
_________________
Manager
Joined: 23 Nov 2017
Posts: 121
Location: Singapore
Concentration: Strategy, Other
Re: The number of integers values of 'x', for which (3-(10 -x^(1/2)  [#permalink]

### Show Tags

19 Jul 2018, 01:17
the question is testing real numbers.. should I be worried about this one?
Re: The number of integers values of 'x', for which (3-(10 -x^(1/2)   [#permalink] 19 Jul 2018, 01:17
Display posts from previous: Sort by

# The number of integers values of 'x', for which (3-(10 -x^(1/2)

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne