It is currently 17 Dec 2017, 06:04

### 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 June
Open Detailed Calendar

# Which of the following is closest to (1+2^18)/(2^4+2^10)?

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4485

Kudos [?]: 3170 [0], given: 0

GPA: 3.82
Which of the following is closest to (1+2^18)/(2^4+2^10)? [#permalink]

### Show Tags

16 Oct 2017, 00:57
00:00

Difficulty:

25% (medium)

Question Stats:

68% (00:53) correct 32% (01:36) wrong based on 53 sessions

### HideShow timer Statistics

[GMAT math practice question]

Which of the following is closest to $$\frac{(1+2^{18})}{(2^4+2^{10})}$$?

A. $$2^5$$
B. $$2^6$$
C. $$2^7$$
D. $$2^8$$
E. $$2^9$$
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3170 [0], given: 0

Math Expert
Joined: 02 Aug 2009
Posts: 5365

Kudos [?]: 6151 [0], given: 121

Re: Which of the following is closest to (1+2^18)/(2^4+2^10)? [#permalink]

### Show Tags

16 Oct 2017, 01:53
Expert's post
1
This post was
BOOKMARKED
MathRevolution wrote:
[GMAT math practice question]

Which of the following is closest to $$\frac{(1+2^{18})}{(2^4+2^{10})}$$?

A. $$2^5$$
B. $$2^6$$
C. $$2^7$$
D. $$2^8$$
E. $$2^9$$

Hi..

Since the answer asked is in Approximation, we can remove inconsequential parts

$$\frac{(1+2^{18})}{(2^4+2^{10})}$$...
1 is very small in 1+2^18 and 2^4 in 2^4+2^10 but let's just remove 1..
$$\frac{(2^{18})}{2^4(1+2^{6})}=\frac{2^{18-4}}{1+2^6}=2^14-2^6=2^8$$
D
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6151 [0], given: 121

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1945

Kudos [?]: 1023 [0], given: 3

Location: United States (CA)
Re: Which of the following is closest to (1+2^18)/(2^4+2^10)? [#permalink]

### Show Tags

17 Oct 2017, 10:54
MathRevolution wrote:
[GMAT math practice question]

Which of the following is closest to $$\frac{(1+2^{18})}{(2^4+2^{10})}$$?

A. $$2^5$$
B. $$2^6$$
C. $$2^7$$
D. $$2^8$$
E. $$2^9$$

Since 1 is a lot less than 2^18 in the numerator, we can approximate the numerator as 2^18. Similarly, since 2^4 is a lot less than 2^10 in the denominator, we can approximate the denominator as 2^10. Thus, we have:

(1 + 2^18)/(2^4 + 2^10) ≈ 2^18/2^10 = 2^8

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 1023 [0], given: 3

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4485

Kudos [?]: 3170 [0], given: 0

GPA: 3.82
Re: Which of the following is closest to (1+2^18)/(2^4+2^10)? [#permalink]

### Show Tags

18 Oct 2017, 02:19
=>

$$\frac{(1+2^{18})}{(2^4+2^{10})}$$ = $$\frac{(1+2^{18})}{(2^4(1+2^6))}$$ = $$\frac{(1+2^6)(1-2^6+2^{12})}{(2^4(1+2^6))}$$
= $$\frac{(1-2^6+2^{12})}{2^4}$$≒ $$2^8$$

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3170 [0], given: 0

Re: Which of the following is closest to (1+2^18)/(2^4+2^10)?   [#permalink] 18 Oct 2017, 02:19
Display posts from previous: Sort by