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At a certain state university last term, there were p [#permalink]
04 Aug 2009, 11:14

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A

B

C

D

E

Difficulty:

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Question Stats:

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1. At a certain state university last term, there were p students each of whom paid either the full tuition of x dollars or half the full tuition. What percent of the tuition paid by the p students last term was tuition from students who paid the full tuition?

(1) Of the p students, 20 percent paid the full tuition. (2) The p students paid a total of $91.2 million for tuition last term.

2. Is quadrilateral RSTV a rectangle?

(1) The measure of angle RST is 90 degree (2) The measure of angle TVR is 90 degree

3. If a grocery shopper received $0.25 off the original price of a certain product by using a coupon, what was the original price of the product? (1) The shopper received a 20 percent discount by using the coupon. (2) The original price was 25 percent higher than the price the shopper

sorry for the issue of all three question in one topic

Re: plz can anybody explain? [#permalink]
04 Aug 2009, 11:33

[quote="shayam"]1. At a certain state university last term, there were p students each of whom paid either the full tuition of x dollars or half the full tuition. What percent of the tuition paid by the p students last term was tuition from students who paid the full tuition?

(1) Of the p students, 20 percent paid the full tuition. (2) The p students paid a total of $91.2 million for tuition last term.

assume total students = 1000

from 1

200 paid x , 800 paid 1/2x total tuition paid= 200x+400x = 600x, p students paid 200x thus % = 200x/600x *100 = ...suff

from 2 insuff

A 2. Is quadrilateral RSTV a rectangle?

(1) The measure of angle RST is 90 degree (2) The measure of angle TVR is 90 degree

each alone is not suff

draw a quadri and split it by a diagonal u ll find that the quadri is 2 right angled triangles Thus it is either a square or a rect

we need the diagonals E

3. If a grocery shopper received $0.25 off the original price of a certain product by using a coupon, what was the original price of the product? (1) The shopper received a 20 percent discount by using the coupon. (2) The original price was 25 percent higher than the price the shopper

Re: plz can anybody explain? [#permalink]
04 Aug 2009, 11:42

1: A statement 1 by itself is sufficient as if we have 20%(0.2) of P paid x, and 80%(0.8) of P paid 0.5x, then the percentage = 0.2*P*x/(0.2*Ｐ*x + 0.8*p*0.5*x) = 0.2/0.6 = 1/3 statement 2 gives the information of total amount, but that doesn't solve anything by itself alone...

2: E even with both statements, we have 2 diagonal corners are 90 degrees, however, the other two corners are not necessarily 90 degrees also, see a shape of where corner R = 100 and T = 80...etc.

3: D ( is this the choice that says each is sufficient?) both statement 1 and 2 are standalone sufficient...assume original price = x. statement 1: 20% * x = $0.25, x = $0.25 * 5 = $1.25 statement 2: x = 125% * ( x - $0.25), x = 1.25x - 5/16, 0.25x = 5/16, x = $1.25

Re: plz can anybody explain? [#permalink]
04 Aug 2009, 21:30

1. A : as explained by before.

2. C : Since if we use both the statements then we get either a rectangle or a square but i guess that a square is actually a rectangle with all 4 sides equal, hence if u use both the statements then u are able to answer the question.

See as obtained from WIki answers:- In a square, all 4 sides are of equal measure. In a rectangle that is not a square, the two pairs of opposite sides will be of unequal length. Note that a square is a special case of a rectangle, so care should be given in considering the difference.

Re: plz can anybody explain? [#permalink]
05 Aug 2009, 01:15

Thanks a lot for the reply..

But i still have a doubt on the second question. Even I went with the concept of "a square is a special type of rectangle" marking C as the correct answer .But the answer was E , as mentioned by first two posts.So I am still in a dilemma regarding such type of questions.Basically what to interpret?

Re: plz can anybody explain? [#permalink]
05 Aug 2009, 01:48

yezz wrote:

2. Is quadrilateral RSTV a rectangle?

(1) The measure of angle RST is 90 degree (2) The measure of angle TVR is 90 degree

each alone is not suff draw a quadri and split it by a diagonal u ll find that the quadri is 2 right angled triangles Thus it is either a square or a rect we need the diagonals E

Great interpretation mate...I just forgot the diagonal part.....aaahhh

Re: plz can anybody explain? [#permalink]
06 Aug 2009, 08:38

apoorvasrivastva wrote:

yezz wrote:

2. Is quadrilateral RSTV a rectangle?

(1) The measure of angle RST is 90 degree (2) The measure of angle TVR is 90 degree

each alone is not suff draw a quadri and split it by a diagonal u ll find that the quadri is 2 right angled triangles Thus it is either a square or a rect we need the diagonals E

Great interpretation mate...I just forgot the diagonal part.....aaahhh

quadrilateral with two diagonal angles=90 can be a rhombus.

gmatclubot

Re: plz can anybody explain?
[#permalink]
06 Aug 2009, 08:38