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davo45 wrote:if x=-1, then (x^4 - x^3 + x^2) / (x-1)

why isn't this 1/2?
(x^4 - x^3 + x^2) / (x-1) = (-1)^4-(-1)^3+(-1)^2/[(-1-1)] = 1-(-1)+1/(-2) = 3/-2 = -3/2

by anshumishra

Sat Mar 12, 2011 6:20 am
Forum: Problem Solving
Topic: if x=-1, then (x^4 - x^3 + x^2) / (x-1)
Replies: 3
Views: 1867

A square board that has an area of 25 square inches is to be cut into pieces, each of which is a square with sides of length 1, 2, or 3 inches. What is the least number of such square pieces into which the board can be cut? a. 5 b. 6 c. 7 d. 8 e. 9 Made mistake, here is how it will work. 8 squares....

by anshumishra

Fri Mar 11, 2011 11:39 am
Forum: Problem Solving
Topic: Cutting a Square Board
Replies: 4
Views: 2292

tonebeeze wrote:Anu, you were correct...I wrote the problem out incorrectly initially. I wrote 5^2 instead of 5^4. I apologize. I edited the equation in the initial post:
√(2^5 * 3^2 *5^4)
No problem, it happens. Glad that you got the answer.

by anshumishra

Fri Mar 11, 2011 11:36 am
Forum: Problem Solving
Topic: Square Roots and Factoring
Replies: 4
Views: 949

tonebeeze wrote:The value of √(2^5 * 3^2 * 5^2) is between which of the following pairs of numbers?

a. 0 and 100
b. 100 and 200
c. 200 and 300
d. 300 and 400
e. 400 and 500

OA = E
√(2^5 * 3^2 * 5^2) = 4*3*5*√2 = 60√2 ~= 84
So, ans. should be A.

by anshumishra

Fri Mar 11, 2011 11:19 am
Forum: Problem Solving
Topic: Square Roots and Factoring
Replies: 4
Views: 949

A certain tests consists 8 sections with 25 questions, numbered from 1 to 25, in each section. If a student answered all of the even-numbered questions correctly and 3/4 of the odd-numbered questions correctly, what was the total number of questions he answered correctly? a. 150 b. 172 c. 174 d. 17...

by anshumishra

Fri Mar 11, 2011 11:17 am
Forum: Problem Solving
Topic: How many answers correct?
Replies: 2
Views: 1068

Hi Anshu, Can you please explain a little more on how you arrived at # of games among men = 2*nC2 = n(n-1) # of games among men and women = 2*(2n) = 4n Also, i am starting with combinations, what can be a good source for getting started from the basics. Thank You for your help, Sure. There are &quo...

by anshumishra

Fri Mar 11, 2011 7:26 am
Forum: Problem Solving
Topic: No of participants
Replies: 5
Views: 6605

If identical we have several cases: 4 on one finger- - - - choose one of 3 fingers = 3 3 on one finger, 1 on another---- choose one of 3 fingers to hold 3, another to hold 1 = 6 2 +1 +1- choose one of three fingers to hold 2, the others hold one each = 3 2 + 2 - choose finger to hold none, the othe...

by anshumishra

Thu Mar 10, 2011 5:40 pm
Forum: Problem Solving
Topic: COMBINATORICS-2
Replies: 12
Views: 2707

Each bead in an urn is marked with a distinct positive integer and colored according to that integer’s remainder after division by 5, as shown in the following table: Color Remainder Red 0 Blue 1 Green 2 Yellow 3 Orange 4 Four blue beads, three green beads, two yellow beads, and one orange bead a...

by anshumishra

Thu Mar 10, 2011 5:30 pm
Forum: Problem Solving
Topic: MANHATTAN CHALLENGE QUESTION - DOUBT
Replies: 6
Views: 1663

One morning each member of Angela's family drank a B-ounce mixture of coffee with milk. The amounts of coffee and milk varied from cup to cup, but were never zero. Angela drank a quarter of the total amount of milk and a sixth of the total amount of coffee. How many people are in the family? A. 3 B...

by anshumishra

Thu Mar 10, 2011 5:07 pm
Forum: Problem Solving
Topic: Angela's family drank
Replies: 8
Views: 2907

:) hi Anshu here's the Quest. http://challenge.2iim.com/test_2/question_6.shtml Answer http://challenge.2iim.com/test_2/answer.shtml However, if B wins in the first throw - there's no second throw ... game is over with no solution :( I lost my 0.5 hours here @night reader I hear you. The question s...

by anshumishra

Thu Mar 10, 2011 4:35 am
Forum: Problem Solving
Topic: Dice Game
Replies: 4
Views: 1613

In how many ways can you allocate 6 boys to 4 different rooms if no room can be empty? 1. 1020 2 540 3. 480 4. 1680 These are the possibilities : (3,1,1,1) and (2,2,1,1) => Means EITHER one room can have 3 boys and the rest will have one each OR two rooms will have 2 boys each and the other two roo...

by anshumishra

Wed Mar 09, 2011 7:05 pm
Forum: Problem Solving
Topic: No room empty
Replies: 1
Views: 1684

There are two women participating in a chess tournament. Every participant played two games with the other participants. The number of games that the men played between themselves proved to exceed by 66 the number of games that the men played with the women.The number of participants is A. 6 B. 11 ...

by anshumishra

Wed Mar 09, 2011 5:41 pm
Forum: Problem Solving
Topic: No of participants
Replies: 5
Views: 6605

A and B play a game. A and B alternately roll a pair of dice (A starts the game). The first person to throw a score more than what the other has scored in the previous throw is said to have won the game. What is the probability that B wins the game in the second throw? 1. 575/1296 2. 1/2 3. 175/129...

by anshumishra

Wed Mar 09, 2011 3:32 pm
Forum: Problem Solving
Topic: Dice Game
Replies: 4
Views: 1613

The student lockers at Olympic High are numbered consecutively beginning with locker number 1. The plastic digits used to number the lockers cost two cents apiece. Thus, it costs two cents to label locker number 9 and four cents to label locker number 10. If it costs $137.94 to label all the locker...

by anshumishra

Wed Mar 09, 2011 11:38 am
Forum: Problem Solving
Topic: lockers at Olympic High
Replies: 1
Views: 2980

The triangle ABC has sides AB = 137, AC = 241 an BC = 200. There is a point D, on BC, such that both incircles of triangles ABD and ACD touch AD at the same point E. What is the length of CD? A. 152 B. 174 C. 179 D. 183 E. 197 [spoiler]http://gmatmaths.com/[/spoiler] Please refer to the diagram bel...

by anshumishra

Wed Mar 09, 2011 10:57 am
Forum: Problem Solving
Topic: touch AD at the same point E
Replies: 2
Views: 1973