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25 Oct 2006, 00:53
Kudos
Bookmarks
Again me back with some more questions:
Q1: A certain baseball league has decided to increase the diameter of the baseballs it uses from 2.9 inches to 3.2 inches. If baseballs are spherical, by approximately what percent will the volume of these baseballs increase? (Volume of a sphere is r3)
a) 15% b)25% c)35% d)45% e)55%
Guys any shortcuts to do this sort of question......
Q2:
If a and b are positive integers, what is the value of a+ b?
(1) a^2 - 2ab + b^2 = 25
(2) a^2 - b^2 = -25
Q3: Refer Fig: A: If point R (not shown) represents the third vertex of triangle PQR in the figure above, is triangle PQR a right triangle?
(1) The x coordinate of point R is not a prime number.
(2) The x coordinate of point R is not a multiple of three.
Q1: A certain baseball league has decided to increase the diameter of the baseballs it uses from 2.9 inches to 3.2 inches. If baseballs are spherical, by approximately what percent will the volume of these baseballs increase? (Volume of a sphere is r3)
a) 15% b)25% c)35% d)45% e)55%
Guys any shortcuts to do this sort of question......
Q2:
If a and b are positive integers, what is the value of a+ b?
(1) a^2 - 2ab + b^2 = 25
(2) a^2 - b^2 = -25
Q3: Refer Fig: A: If point R (not shown) represents the third vertex of triangle PQR in the figure above, is triangle PQR a right triangle?
(1) The x coordinate of point R is not a prime number.
(2) The x coordinate of point R is not a multiple of three.
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25 Oct 2006, 01:33
Kudos
Bookmarks
On Q3 -
The first condition rules out the values for x coord - 11, 13, 17, 19
The second condition rules out the values - 9, 12, 15, 18
Still you are left with a infinite values for x and infinite values for Y.
Hence both choices are insufficient.
E is the answer.
Let me know the OA on this one as I am not really sure if there's a trick to solving this.
The first condition rules out the values for x coord - 11, 13, 17, 19
The second condition rules out the values - 9, 12, 15, 18
Still you are left with a infinite values for x and infinite values for Y.
Hence both choices are insufficient.
E is the answer.
Let me know the OA on this one as I am not really sure if there's a trick to solving this.
25 Oct 2006, 02:38
Kudos
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Q2. C
Bloody tricky
from I, |a-b| = 5 (difference between a and b is 5)
from II, a+b = -25/(a-b)
We have been informed that a,b are both +ve integer, and from I we knew that their difference is 5. SO , it is either a>b or b>a, we don't know which yet.
Assuming case a>b
from II, a+b = -25/5 = -5 ,
contradiction with the given info that both a,b are +ve integer. So the assumption of a>b is wrong
Assuming case a>b
from II, a+b = -25/-5 = 5
SOLVED.
At first glance, there seems to be multiple solutions, but thanks to the given condition (a,b +ve), only one viable solution left.
Q3. E
Imagine the line PQ is a diameter of a circle. In order to form a right triangle, R can be anywhere in the circumference of the circle.
Quite a trivial question, unless the we are given the condition that coordinate of R is an integer, then it will be tougher.
Bloody tricky
from I, |a-b| = 5 (difference between a and b is 5)
from II, a+b = -25/(a-b)
We have been informed that a,b are both +ve integer, and from I we knew that their difference is 5. SO , it is either a>b or b>a, we don't know which yet.
Assuming case a>b
from II, a+b = -25/5 = -5 ,
contradiction with the given info that both a,b are +ve integer. So the assumption of a>b is wrong
Assuming case a>b
from II, a+b = -25/-5 = 5
SOLVED.
At first glance, there seems to be multiple solutions, but thanks to the given condition (a,b +ve), only one viable solution left.
Q3. E
Imagine the line PQ is a diameter of a circle. In order to form a right triangle, R can be anywhere in the circumference of the circle.
Quite a trivial question, unless the we are given the condition that coordinate of R is an integer, then it will be tougher.
