It is currently 17 Jun 2019, 23:52

### 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

# If x/3 - x/6 + x/9 - x/12 = 1 - 1/2

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 6885
Followers: 114

Kudos [?]: 1339 [0], given: 6306

If x/3 - x/6 + x/9 - x/12 = 1 - 1/2 [#permalink]  08 Jan 2019, 10:29
Expert's post
00:00

Question Stats:

100% (00:59) correct 0% (00:00) wrong based on 10 sessions
If $$\frac{x}{3} - \frac{x}{6} + \frac{x}{9} - \frac{x}{12} = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}$$ , then $$x =$$

A. $$3$$

B. $$1$$

C. $$\frac{1}{3}$$

D. $$-\frac{1}{3}$$

E. $$-3$$
[Reveal] Spoiler: OA

_________________
Director
Joined: 20 Apr 2016
Posts: 903
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 668 [1] , given: 148

Re: If x/3 - x/6 + x/9 - x/12 = 1 - 1/2 [#permalink]  09 Jan 2019, 04:35
1
KUDOS
Carcass wrote:
If $$\frac{x}{3} - \frac{x}{6} + \frac{x}{9} - \frac{x}{12} = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}$$ , then $$x =$$

A. $$3$$

B. $$1$$

C. $$\frac{1}{3}$$

D. $$-\frac{1}{3}$$

E. $$-3$$

Explanation::

$$\frac{x}{3} - \frac{x}{6} + \frac{x}{9} - \frac{x}{12} = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}$$

$$\frac{7x}{36} = \frac{7}{12}$$

or x = 3
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Supreme Moderator
Joined: 01 Nov 2017
Posts: 370
Followers: 5

Kudos [?]: 111 [0], given: 4

Re: If x/3 - x/6 + x/9 - x/12 = 1 - 1/2 [#permalink]  09 Jan 2019, 06:29
Expert's post
Carcass wrote:
If $$\frac{x}{3} - \frac{x}{6} + \frac{x}{9} - \frac{x}{12} = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}$$ , then $$x =$$

A. $$3$$

B. $$1$$

C. $$\frac{1}{3}$$

D. $$-\frac{1}{3}$$

E. $$-3$$

$$\frac{x}{3} - \frac{x}{6} + \frac{x}{9} - \frac{x}{12} = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}$$ .....
We can see the formation of the terms is similar on both sides, so let us get the left hand side in terms similar to RHS, by taking out $$\frac{x}{3}$$..
$$\frac{x}{3} - \frac{x}{6} + \frac{x}{9} - \frac{x}{12} =\frac{x}{3}*1 - \frac{x}{3}*\frac{1}{2} + \frac{x}{3}*\frac{1}{3} - \frac{x}{3}*\frac{1}{4} = \frac{x}{3}(1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4})$$
This should be equal to RHS..
$$\frac{x}{3}(1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}) = 1 - \frac{1}{2} + \frac{1}{3} - \frac{1}{4}........\frac{x}{3}=1....x=3$$ .....

A
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: If x/3 - x/6 + x/9 - x/12 = 1 - 1/2   [#permalink] 09 Jan 2019, 06:29
Display posts from previous: Sort by