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At a certain state university last term, there were p

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At a certain state university last term, there were p [#permalink] New post 04 Aug 2009, 11:14
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C
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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
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Re: plz can anybody explain? [#permalink] New post 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

x = original price , paid = x-0.25

from

0.25 = 1/5 x .................suff

from 1
x = 1.25(x-0.25)....suff

D
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Re: plz can anybody explain? [#permalink] New post 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
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Re: plz can anybody explain? [#permalink] New post 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.

3. D : Each statement alone is sufficient.
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Re: plz can anybody explain? [#permalink] New post 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?
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Re: plz can anybody explain? [#permalink] New post 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 :wall
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Re: plz can anybody explain? [#permalink] New post 06 Aug 2009, 08:12
ok thnks for the explntation
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Re: plz can anybody explain? [#permalink] New post 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 :wall


quadrilateral with two diagonal angles=90 can be a rhombus.
Re: plz can anybody explain?   [#permalink] 06 Aug 2009, 08:38
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