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# 2 Questions Practice Set (part 1)

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Intern
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2 Questions Practice Set (part 1) [#permalink]  07 Jan 2008, 02:01
1
KUDOS
Hi guys I was wondering if you can explain to me how to do the following two questions?
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SVP
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Re: 2 Questions Practice Set (part 1) [#permalink]  07 Jan 2008, 02:52
for the first one, the answer is C. Here is the explanation why:

For any product of 2 numbers, for example X and Y:

The product is XY.
XY is also equal to highest common fact of X and Y multiply by least common factor of X and Y.

example: 10 and 15

10 times 15 = 150

highest common factor of 10 and 15= 5
least common factor of 10 and 15= 30

30 times 5= 150 as well.
hope this helps
Manager
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Re: 2 Questions Practice Set (part 1) [#permalink]  07 Jan 2008, 03:54
1
KUDOS
for the second problem, E should be the answer

A, B, C all involve degrees.

A) X^4>=1; x^4-1>=0
(x^2+1)(x^2-1) = (x^2+1)(x+1)(x-1)>=0
x>=1; x>=-1; infinite set of numbers. eliminate

B) and C) x^3<=27; x <=3 (correct me if i'm wrong pls). same goes with C. they are infine sets

not sure about D). if someone could shed a light on it.
thanks!
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Re: 2 Questions Practice Set (part 1) [#permalink]  07 Jan 2008, 04:57
1
KUDOS
#1:
C

xy = LCM of x,y * HCF of x, y (see tarek's explanation above).

#2:
E.
A, B, C have infinite values.
Consider D:
2<= |x| <= 5
If x is +ve then: 2 <= x <= 5
If x is -ve then: -5 <= x <= -2
We have 2 line segments but the question is asking for only 1.
For E:
-.66 <= x <= .66
Re: 2 Questions Practice Set (part 1)   [#permalink] 07 Jan 2008, 04:57
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