## Problem of the day 25.06.09

**The real numbers**, *x, y, z, w* **satisfy**

*2x+y+z+w=1*

*x+3y+z+w=2*

*x+y+4z+w=3*

*x+y+z+5w=25*

Find *w*.

**Options**

1. 2

2. 7/2

3. 11/2

4. 5

5. None of these

Advertisements

For All Your Quant Queries

**The real numbers**, *x, y, z, w* **satisfy**

*2x+y+z+w=1*

*x+3y+z+w=2*

*x+y+4z+w=3*

*x+y+z+5w=25*

Find *w*.

**Options**

1. 2

2. 7/2

3. 11/2

4. 5

5. None of these

Advertisements

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

- Problem Of The Week 52
- Concept 1 Perfect Squares
- Mini Concept: Multinomial Theorem
- CAT 2008 Key and Solutions

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… | |

ankeshgupta09 on Problem of the Day 30.07.… |

- 123,844 hits

- RT @ARanganathan72: Modi: "Agar Ramzan pe bijli milti hai, toh Diwali pe bhi bijli milni chahiye." This is considered communal. 1/2 https:â€¦ 58 minutes ago
- RT @ARanganathan72: Modi: "Agar Holi pe bijli milti hai, toh Eid pe bhi bijli milni chahiye." This is not considered communal. 2/2 https:/â€¦ 59 minutes ago
- RT @ARanganathan72: Good tweet and well-said. Will follow. twitter.com/Roflindian/staâ€¦ 59 minutes ago
- RT @ShrrinG: He can put on 5K sports shoes for walking but to attend I-Day or R-Day, Fati chappals are worn.. Waah Bhai.. https://t.co/aXQWâ€¦ 1 hour ago
- RT @dhaval241086: Call friends in Gujju dominated areas like Borivalli,Kandivilli,Malad,Parel,Goregaon,South Mumbai,Bandra and ask them toâ€¦ 1 hour ago

%d bloggers like this:

congrats!!!

i followed and enjoyed every problem of this blog last year. i used to persevere with those problems. hoping to get problems of that level and sheen this year also.

i m getting w=19/7

i.e. (5)

correct me if i m wrong

yodhaJune 26, 2009 at 5:22 pm

Thanks!

The answer is incorrect

RahulJune 29, 2009 at 12:27 pm

now i got it!

x=-2 , z=0 , y=-1/2 and w=11/2

yodhaJuly 3, 2009 at 8:34 am

right!! post the process ðŸ™‚

RahulJuly 3, 2009 at 9:10 am

subtracting eqn. 2 from 1 , 3 from 2 and 4 from 3,we get

x-2y=-1 , 2y-3z=-1 , 3z-4w=-22

=> x = 4w+24.

now, multipling eqn. 1 by 2 and adding it with eqn. 2

5(x+y) + 3z + 3w = 4.

substituting the value of x+y from eqn. 3, we get

17z+2w=11

now solving the two eqns. in z and w. we get z and x

and hence can obtain the values of other variables also.

yodhaJuly 4, 2009 at 2:39 pm

the symmetry is too close to neglect, multiplying the equations by 12, 6, 4, 3 resp. and adding will give the value of x+y+z+w

anonymousJuly 19, 2009 at 2:39 pm