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Hi rb90: I have a different approach, we can derive the following equation from the question stem 50% * (1-x) + 30%x = 40%*1 ( where x is the fraction amount replaced and 1 is the entire solution) Solving for x: .5 - .5x + .3x = .4 or, -.2x = -.1 or, x = .1/.2 or, x=1/2 I think it works. Thanks.

by Asif

Tue Oct 12, 2010 2:56 am
Forum: Problem Solving
Topic: GOOD MIXTURE SUM
Replies: 6
Views: 1659

Thats why I said ealier that questions needs to be modified to sqrt(2)x instead of Sqrt(2x). Pls. see the earlier posts.

Thanks.

by Asif

Sat Aug 28, 2010 7:45 pm
Forum: Problem Solving
Topic: PS bushel price
Replies: 10
Views: 2311

Thanks Sarwan. I think we don't need to insert one/two other variables to find out "days". The question asked for the price when they will be same. And definitely the price has to be same after the same number of days since the increasing and decreasing is taking place at constant rate. Th...

by Asif

Sun Aug 15, 2010 8:49 pm
Forum: Problem Solving
Topic: PS bushel price
Replies: 10
Views: 2311

Thanks Aarati. Please note that the question asks to find out the price at which both corn and wheat will be same and you have one variable "x" which is common. As the days after which both the prices will be same we don't need to insert a second variable for "days", which is alr...

by Asif

Sun Aug 15, 2010 8:34 pm
Forum: Problem Solving
Topic: PS bushel price
Replies: 10
Views: 2311

If the answer is E then the question needs little modification, I am not sure though. Instead of the price of wheat decreasing at a rate "square root (2x)-x" it needs to be "square root(2)x-x". If considered the latter one the problem can be solved in the following way: 320 + 5x ...

by Asif

Wed Aug 11, 2010 8:09 pm
Forum: Problem Solving
Topic: PS bushel price
Replies: 10
Views: 2311

The question in not clear to me. It is asking to find "percentage of gain". But gain on what???? Dominic did not inject his own fund he just borrowed on credit against which he is supposed to pay interest. When there is no equity the entire gain is his profit against "0" investme...

by Asif

Mon Aug 02, 2010 10:09 pm
Forum: Problem Solving
Topic: Lucy for $765
Replies: 7
Views: 1481

Answer is E.

x = 1, Y = -1

solve for (x-y)/(x+y)= 2/0 which is undefined, so the answer is E.

Singly both the statements are not sufficient as well.

by Asif

Sun Aug 01, 2010 2:12 am
Forum: Data Sufficiency
Topic: (x-y)/ (x+y) < 1
Replies: 6
Views: 2002

Lets say together their rate is x hours.

1/(x+20) + 1/(x+5) = 1/x

Solving for x we get x= +10 or -10 (we shall take +10)

now the ratio is (10+20)/(10+5) = 2/1

thus its B.

by Asif

Sat Jul 31, 2010 8:35 pm
Forum: Problem Solving
Topic: Work rate
Replies: 30
Views: 15494

I think its E.

2^3>4

in this case

x<y

by Asif

Mon Jul 26, 2010 8:51 pm
Forum: Data Sufficiency
Topic: Signs, Roots, and Cubes (Inequalities)
Replies: 6
Views: 1501

I think we can solve it without any calculation if we go through the answers: a 4% annual int. rate at the end of 6 months will be at least 2%. So the answer must be anyone of (c) or (d) but not (e) which is extreme. Now, with the term "quarterly compounding" it would be more than 2% leavi...

by Asif

Mon Jul 05, 2010 10:24 pm
Forum: Problem Solving
Topic: ps
Replies: 12
Views: 4661

Yes Jaskaran, you are right. its e.

thanks.

by Asif

Thu Jun 24, 2010 12:30 am
Forum: Data Sufficiency
Topic: prime numbers
Replies: 4
Views: 1064

prime numbers

if 1<P<20, then is P prime number?

i. 2+P is a prime number
ii. P not equals to 9

by Asif

Wed Jun 23, 2010 8:24 pm
Forum: Data Sufficiency
Topic: prime numbers
Replies: 4
Views: 1064

algebra

what is the value of a^2+b^2?

i. a=4-b
ii. b=1/a

by Asif

Wed Jun 23, 2010 8:18 pm
Forum: Data Sufficiency
Topic: algebra
Replies: 2
Views: 971

Thanks KVCPK: You got the idea. some might mistake with range that falls into 3% tax category. but with the tax included it turns to next slab.

by Asif

Wed Jun 23, 2010 2:14 am
Forum: Problem Solving
Topic: profit, sales tax
Replies: 4
Views: 1055

b/a = 3^n+1/2^n+1
= (3.3^n)/(2.2^n)=(3/2)(3^n/2^n)=1.5(3^n/2^n)

now, since n is positive integer n=1,2,3....
for n= 1 the value stands for 1.5*1.5=2.25 which will go up if we set n=2,3,4,...

so answer is A.

Is my method ok?

by Asif

Wed Jun 23, 2010 2:03 am
Forum: Data Sufficiency
Topic: n problem
Replies: 6
Views: 1444