Set of three questions

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vivekjaiswal: Master | Next Rank: 500 Posts; Posts: 107; Joined: Tue Sep 15, 2009 7:18 pm; Location: Pune, India; Thanked: 6 times; GMAT Score:630

by vivekjaiswal » Mon Oct 05, 2009 9:34 pm

1. A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?
(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder.
(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse.

OA is [spoiler](B)[/spoiler]

2. Are the numbers k/4, z/3 and r/2 in increasing order?
(1) 3 < z < 4
(2) r < z < k

OA [spoiler](E)[/spoiler]

3. Is the prime number p equal to 37?
(1) p = n2 +1, where n is an integer.
(2) p2 is greater than 200.

OA is [spoiler](E)[/spoiler]

Can someone explain these please?

Cheers,
Vivek

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Source: Beat The GMAT — Data Sufficiency | Mon Oct 05, 2009 9:34 pm

fiercepoint: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Sat Jul 25, 2009 9:30 am; Thanked: 2 times

by fiercepoint » Mon Oct 05, 2009 11:17 pm

I'll take the first question.

1) is insufficient. Tells you how much the spouse and the oldest child get so the remainder is whats left for the youngest two children however it doesn't tell how it is divided between them.

2) is sufficient. The youngest child is x. The statement tells you that both of them got the same amount so the two of the youngest children are 2x.
The oldest child got 12,500 less or x - 12,500
The spouse got more or x + 62,500
All of this equals 200,000
so 2x + x - 12,500 + x + 62,500 = 200,000
x = 37,500

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kguo: Junior | Next Rank: 30 Posts; Posts: 18; Joined: Mon Aug 03, 2009 8:17 am

by kguo » Mon Oct 05, 2009 11:41 pm

2. Are the numbers k/4, z/3 and r/2 in increasing order?
(1) 3 < z < 4
(2) r < z < k

Statement 1 doesn't tell us aobut k or r.. so insufficient.

Statement 2 can all result in one if k = 4, z = 3, r = 2 so 1, 1, 1, and NOT increasing. Or k = 5, z = 4, r = 3 and is increasing. 1.25, 1.33, 1.5.

With both statements.. it doens't change anything as k = 4.5 z = 3.5 and r = 2.5 would still be increasing.. but k = 1000 z = 3.5 and r = 2 would not be increasing. Since 250, 1.16 and 1 is decreasing

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sanjana: Master | Next Rank: 500 Posts; Posts: 182; Joined: Sun Aug 02, 2009 7:19 pm; Thanked: 18 times; GMAT Score:680

by sanjana » Wed Oct 07, 2009 3:36 am

3)
Statement 1 :
p=n^2+1
Given n is an integer

P Need not be 37 depending on the value of n
n=2 ==> p=5
n=6 ==> p=37
n=4 ==> p=17

Hence,not sufficient.

Statement 2 :
p^2 > 200

13^2 > 200
37^2 > 200

Again not necessary p=37
Hence insufficient.

Clubbing both, you again cant pick p=37

Hence , E

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