## Problem Of The Week 36

**Find the value of the expression ……….|||||||x-2|+2|-2|+2|……….**

Advertisements

For All Your Quant Queries

**Find the value of the expression ……….|||||||x-2|+2|-2|+2|……….**

Advertisements

Written by Implex

October 1, 2008 at 11:12 am

Posted in Algebra, Problem of the week

Tagged with Algebra, Problem of the week

Subscribe to comments with RSS.

- Para Jumbles 19.08.09
- Fill In the blanks 08.08.09
- Fill In The Blanks 05.08.09
- Para Jumbles 05.08.09
- Para Jumbles 04.08.09

- Algebra
- Announcements
- Arithmetic
- CAT 2008
- CAT 2009
- Combinatorics
- concepts
- Conundrum
- Coordinate Geometry
- Data Sufficiency
- Functions
- General
- Geometry
- IIM Interview Experiences
- Inequalities
- Mock Cat
- Mock Quant
- Number Thoery
- Online CAT
- Power Play
- Prime Numbers
- Probability
- Problem of the week
- Problems
- Tips

- Problem of the day 26.08.09
- Problem of The day 06.08.09
- Problem of the Day 30.07.09
- Bonus QUestion 28.07.09
- Problem of the day 28.07.09

- Art of Problem Solving
- CAT Material (free)
- Math Lessons
- Pagal Guy
- Pagalbille
- Test Funda
- Verbal Logic

sujeet3035 on Problem of the day 17.07.… | |

vinit on Bonus Question 26.07.09 | |

harsh bansal on The Funny Side of Mathema… | |

KT on IIM A Interview Experienc… | |

tushar on Concept 3 Circle and Triangles… |

- 126,959 hits

- RT @akhileshsharma1: कुछ पत्रकारों के जबर्दस्त सेवा करने के बावजूद उन्हें राज्य सभा न भेज कर आम आदमी पार्टी ने 'तंगदिली' दिखाई। जबकि 'दरिया… 5 days ago
- RT @HectorBellerin: Looks like you couldn't see today either @T_Deeney 😂 twitter.com/btsportfootbal… 6 days ago
- RT @arseblog: YES HECTOR! twitter.com/HectorBellerin… 6 days ago
- RT @theskindoctor13: Syphilis has heart complications like aortitis, regurgitation, heart failure. Heart failure is end result of many dise… 1 week ago
- RT @coolfunnytshirt: tum saala gutter chhaap badboodaar hindustani keede makode log, tumhari aukat kya thi Nehru ke khaandaan ke raaj se pa… 1 week ago

Advertisements

%d bloggers like this:

That would be x.

Celebrating LifeOctober 1, 2008 at 11:25 am

hmm. A re look at the question, I’m in a quandary.

Depends on where the series ends and on the sign of x.

When x>0 and when it ends with +2 it is x+2

When x>0 and when it ends with -2 it is x

When x<0 and the series end with -2, it is |x|+2

when x<0 and the series ends with +2, it is |x|+4

Celebrating LifeOctober 1, 2008 at 11:38 am

aah!Again a silly mistake .

When x>0 and when the series ends in +2 it is x

When x>0 and ends with -2, it’s x-2

Superb effort implex. Keep ’em coming!

Celebrating LifeOctober 1, 2008 at 11:52 am

It can also have two additional values, 0 and 2 when x=2.

riyaziqOctober 1, 2008 at 12:10 pm

x or x-2

4-x ,2-x

VarunOctober 1, 2008 at 1:26 pm

@Riyaziq

All the cases fall into only those four categories. Even for 2.

Celebrating LifeOctober 1, 2008 at 1:52 pm

None of the solutions have been sastisfactory

Let |x-2|=y y>=0

after every even number of mods we will again get y ( as y+2 will be positive as y is so )

now if the series ends at +2

answer will be y+2 means |x-2|+2

if the series ends at -2

we will get y or |x-2|

The solution ends here, there is no need to do anything else

all the solutions will come in the ambit of this !

Cheers !

outtimedOctober 1, 2008 at 2:30 pm

for x>=2 and

even no. of mods…ans=’x’

odd no. of mods…ans=’x-2′

for x<2 and

even no. of mods…ans=’2-x’

odd no. of mods…ans=’4-x’

wolverineOctober 1, 2008 at 5:32 pm

i think my soln…coincides with varun…[;)]

wolverineOctober 1, 2008 at 5:33 pm