GMAT PREP Questions help

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earnest10: Senior | Next Rank: 100 Posts; Posts: 56; Joined: Sun Apr 25, 2010 1:37 pm; Thanked: 1 times

by earnest10 » Thu Feb 10, 2011 10:04 pm

Hello All:

Please I need help once again .

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Source: Beat The GMAT — Data Sufficiency | Thu Feb 10, 2011 10:04 pm

Night reader: Legendary Member; Posts: 1337; Joined: Sat Dec 27, 2008 6:29 pmFollowed by: 10 members; Thanked: 127 times

by Night reader » Thu Feb 10, 2011 11:52 pm

earnest10 wrote:Hello All:

Please I need help once again .

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GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Fri Feb 11, 2011 3:19 am

On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?

1). On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11.
2). The number of women on the sight-seeing tour was less than 30.

This question is restricted to positive integers because it is about people. We can't have 2/3 of a child.

Given info is W:C = 5:2.

Question: M?

Statement 1: C:M = 5:11.
To combine this ratio with the first ratio, the common element (C) must be represented by the same value in each ratio.
W:C = 5:2 = 25:10
C:M = 5:11 = 10:22
Thus, W:C:M = 25:10:22.
Since we know only the ratio, no way to determine the actual value of M.
Insufficient.

Statement 2: W<30.
No way to determine M.
Insufficient.

Statements 1 and 2 together:
Given that W:C:M = 25:10:22 and W<30, we know that W=25 (because if we use a multiple of the ratio, the number of women will be at least 2*25 = 50).
Since W=25 and W:C:M = 25:10:22, M=22.
Sufficient.

The correct answer is C.

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Night reader: Legendary Member; Posts: 1337; Joined: Sat Dec 27, 2008 6:29 pmFollowed by: 10 members; Thanked: 127 times

by Night reader » Fri Feb 11, 2011 4:05 am

Thanks Mitch! For the 2nd time, I was trying to solve a simple a

c ratio conversion quest. brutally ...

GMATGuruNY wrote:
On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?

1). On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11.
2). The number of women on the sight-seeing tour was less than 30.
This question is restricted to positive integers because it is about people. We can't have 2/3 of a child.

Given info is W:C = 5:2.

Question: M?

Statement 1: C:M = 5:11.
To combine this ratio with the first ratio, the common element (C) must be represented by the same value in each ratio.
W:C = 5:2 = 25:10
C:M = 5:11 = 10:22
Thus, W:C:M = 25:10:22.
Since we know only the ratio, no way to determine the actual value of M.
Insufficient.

Statement 2: W<30.
No way to determine M.
Insufficient.

Statements 1 and 2 together:
Given that W:C:M = 25:10:22 and W<30, we know that W=25 (because if we use a multiple of the ratio, the number of women will be at least 2*25 = 50).
Since W=25 and W:C:M = 25:10:22, M=22.
Sufficient.

The correct answer is C.

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Fri Feb 11, 2011 8:59 pm

Question 2:

Simple way is to use the following shortcuts:
If a line has a positive slope, it will pass through quadrants I and III.

If a line has a negative slope, it will pass through quadrants II and IV.

(1) Since the slope is -1/6, which is negative, so the line k will pass through quadrant II. So, (1) is SUFFICIENT.

(2) y-intercept is -6 implies line k passes through (0, -6). In this case the line may or may not pass through quadrant II. So, (2) is NOT SUFFICIENT.

The correct answer is A.

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Fri Feb 11, 2011 9:20 pm

Question 3:

Statements 1 and 2 are independently NOT SUFFICIENT to answer the question.

It is known that for any two positive integers X and Y, X*Y = (LCM of X and Y) * (GCF of X and Y), this fact can be very easily used in these type of questions.

So, when you combine both the statements, to answer the question.

So, the correct answer is C.

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Fri Feb 11, 2011 9:23 pm

Question 4:

Easiest way is to plug in values for a and b: Let a = 3 and b = 4

Choice A: f(3 + 4) = (3 + 4)^2 = 12^2 = 144, and f(3) + f(4) = 3^3 + 4^2 = 9 + 16 = 25; clearly f(a + b) is not equal to f(a) + f(b).

Choice B: f(3 + 4) = 3 + 4 + 1 = 8, f(3) + f(4) = 3 + 1 + 4 + 1 = 9; clearly f(a + b) is not equal to f(a) + f(b).

Choice C: f(3 + 4) = âˆš(3 + 4) = âˆš7, f(3) + f(4) = âˆš3 + âˆš4; clearly f(a + b) is not equal to f(a) + f(b).

Choice D: f(3 + 4) = 2/7, f(3) + f(4) = 2/3 + 2/4; clearly f(a + b) is not equal to f(a) + f(b).

Choice E: f(3 + 4) = -3(7) = -21, f(3) + f(4) = -3(3) - 3(4) = -9 - 12 = -21; here f(a + b) = f(a) + f(b)

The correct answer is E.

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Fri Feb 11, 2011 9:26 pm

Question 5:

If p is a prime number, then p + 1 cannot be a prime number (as 2 and 3 are the only consecutive prime numbers, but it is given that p is a prime number greater than 2).

(1) It is given that there are 100 primes between 1 and p+1, so p is the 100th prime number. Hence, (1) is SUFFICIENT.

(2) We can write all prime numbers between 1 and 3912 to get the value of p. So, (2) is SUFFICIENT.

The correct answer is D.

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