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If Fran jumps straight up off the floor and lands on her

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If Fran jumps straight up off the floor and lands on her [#permalink] New post 04 Feb 2007, 08:17
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1.If Fran jumps straight up off the floor and lands on her feet T seconds later, her feet will reach a max-imum height of 1.22T^2 meters above the floor. On one such jump, was Fran off the floor for less than 1 second ?
(1) On her jump Fran’s feet reached a maximum height of 1 meter above the floor.
(2) On her jump Fran spent more than 1/4 second ascending.


2.Are all of the numbers in a certain list of 15 numbers equal?
(1) The sum of all of the numbers in the list is 60.
(2) The sum of any 3 numbers in the list is 12.


3.The price of a television set was reduced by 25 percent. What was its original price?
(1) The reduced price was $187.50.
(2) The original price exceeded the reduced price by more than $60.00.
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Re: DS [#permalink] New post 04 Feb 2007, 17:56
jet1445 wrote:
1.If Fran jumps straight up off the floor and lands on her feet T seconds later, her feet will reach a max-imum height of 1.22T^2 meters above the floor. On one such jump, was Fran off the floor for less than 1 second ?
(1) On her jump Fran’s feet reached a maximum height of 1 meter above the floor.
(2) On her jump Fran spent more than 1/4 second ascending.


Question: Max H = 1.22 * T^2, Is T < 1?

(1) Max H = 1 = 1.22 * T^2

T = 1/sqrt(1.22) = 1/(1...) Thus T <1> 1/4
T < 2/4
T < 1/2 Thus T < 1 (2) SUFF

D. is the answer.
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Re: DS [#permalink] New post 04 Feb 2007, 18:11
jet1445 wrote:
2.Are all of the numbers in a certain list of 15 numbers equal?
(1) The sum of all of the numbers in the list is 60.
(2) The sum of any 3 numbers in the list is 12.


Question: set A = {a1, a2, ..., a15} , is a1 = a2 = ... = a15?

(1) Sum(A) = 60, Thus Ave(A) = 60/15 = 4
This does not mean that all a1 ... a15 is equal INSUFF

(2) The sum of any 3 numbers in the list is 12
or the sum of any 3 number in the list is 3x(4)
To pick any number and still get the same result, the numbers in the set must be the same. a1 = 4 SUFF.

B. is the answer.

Last edited by devilmirror on 04 Feb 2007, 18:21, edited 1 time in total.
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Re: DS [#permalink] New post 04 Feb 2007, 18:14
jet1445 wrote:
3.The price of a television set was reduced by 25 percent. What was its original price?
(1) The reduced price was $187.50.
(2) The original price exceeded the reduced price by more than $60.00.


Question: P = orginal price, The reduced price price = 0.75P, Find P

(1) 0.75P = 187.50, P has value SUFF

(2) P - 0.75P > 60

P(1-0.75) > 60

P > 60/0.25 = 60 x 4 = 240 P has more than 1 value INSUFF

A. is the answer.
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DS [#permalink] New post 05 Feb 2007, 09:48
Sorry, I type first quention incorrect , so I post again for your explaination

1.If Fran jumps straight up off the floor and lands on her feet T seconds later, her feet will reach a max-imum height of (1.22T)^2 meters above the floor. On one such jump, was Fran off the floor for less than 1 second ?
(1) On her jump Fran’s feet reached a maximum height of 1 meter above the floor.
(2) On her jump Fran spent more than 1/4 second ascending.
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Re: DS [#permalink] New post 05 Feb 2007, 10:22
jet1445 wrote:
Sorry, I type first quention incorrect , so I post again for your explaination

1.If Fran jumps straight up off the floor and lands on her feet T seconds later, her feet will reach a max-imum height of (1.22T)^2 meters above the floor. On one such jump, was Fran off the floor for less than 1 second ?
(1) On her jump Fran’s feet reached a maximum height of 1 meter above the floor.
(2) On her jump Fran spent more than 1/4 second ascending.



With or without the correction I would say it is A:

number 1) gives the height, so we can determine the time spent on the whole jump. SUFF

The 2) says that Fran ascended more than 1/4 seconds, it could have been: 3/8 seconds, 1/2 or even 1 second ascending. INSUFF
Re: DS   [#permalink] 05 Feb 2007, 10:22
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