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Manager
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Some Questions [#permalink] New post 17 Nov 2006, 10:03
PFA, A set of Questions that I could not solve....Help needed here
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Senior Manager
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 [#permalink] New post 21 Nov 2006, 00:12
2. A set of numbers has the property that for any number t in the set, t + 2 is in the set. If –1 is in the set, which of the following must also be in the set?
I. -3
II. 1
III. 5

if -1 is in set then -1+2 = 1 is in set
if 1 i in set 1+2=3 is in set
if is in set then 3+2 so 5 is in set



Answer II and III
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 [#permalink] New post 21 Nov 2006, 00:20
3. If x and y are positive, is 3x > 7y?
(1) x > y + 4
(2) -5x < -14y

(1) x > y + 4

y =1 then x > 5 x could be 6 then 18 > 7
y=10 then x >14 x could be 15 then 45 is not greater than 70


so (1) is in suff

(2) -5x < -14y

or is 5x > 14 y

y =1 x>14/5 say 3 ------------ 9 is greater than 7
y=100 x>1400/5 say 300 ....... 900 is greater than 700

Suff

B
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 [#permalink] New post 21 Nov 2006, 00:24
5 . In the xy-plane, point (r, s) lies on a circle with center at the origin. What is the value of R^2 + s^2?
(1) The circle has radius 2.
(2) The point (v2, -v2) lies on the circle.

Answer A

r^2+s^=radius ^2 this is equation of a circle
using (1)
So r^2 + s ^2 = 4

Suff

if v2 and -v2 lie on the circle

Substitute v2 and -v2 for r and s respectively

r^2+s^2=v2^2 + (-v2^2)= 2v2^2

Suff
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 [#permalink] New post 21 Nov 2006, 00:26
6 . If w and c are integers, is w > 0?
(1) W + c > 50
(2) C > 48

using (1)
W> 50-c
assume c = 100 W>50-100= -50 so w is negative
assume c = 1 W=50+1=51 so w is positive

insuff

using (2)
Useless info insuff
Edited below

Togather
W>50-49=1 greater than 0
W > 50 -60 =-10 less than zero

insuff


Answer E

Last edited by Damager on 21 Nov 2006, 12:28, edited 2 times in total.
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 [#permalink] New post 21 Nov 2006, 00:36
7 . A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are
possible?
A. 5
B. 6
C. 9
D. 24

6 people in 2 rows arrangend in height with hight increasing left to right
456 arrange ment 1
123

356
124 rrangemnet 2

256
134 ------ arra 3

356
124 -- arr 4

346
125 --- arr 5

246
135 --- arr 6

Answer 6
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 [#permalink] New post 21 Nov 2006, 00:41
9 . Joanna bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she
buy?
(1) She bought $4.40 worth of stamps.
(2) She bought an equal number of $0.15 stamps and $0.29 stamps.

Using 1
0.15x+0.29y=4.40 insuff

Using 2

x=y

Using (1) and (2) togather we can find out x

This might be a tric question because using we can try to guess ratio of x and y and i belive we will get integer value for number of stamps only when x=y
so answer could be A
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 [#permalink] New post 21 Nov 2006, 00:45
10 . What is the median number of employees assigned per project for the projects at Company Z?
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.

(1) or (2) alone as insuff
<---35--><----40---><----25--->
2 or less ---> median <---- 4 or more

Majority 40% of projects have 3 employees
Answer C
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 [#permalink] New post 21 Nov 2006, 00:55
12 . In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?
A. 2,500
B. 7,500
C. 10,000
D. 15,000
E. 17,500

Both = 5000
Given both = 2 * only agianst mumps (OM)=> 5000= 2 OM ==> OM = 2500

Given R=2M==> M = Both (M+R) + OM=> 5000+2500=7500
R=2(7500)=15000
Only R (OR) = R - both (M+R) = 15000 - 5000=10,000

nswer C

M
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 [#permalink] New post 21 Nov 2006, 01:00
4. If 10^50 – 74 is written as an integer in base 10 notation, what is the sum of the digits in
that integer?
A. 424
B. 433
C. 440
D. 449
e.467


10,000 - 74 = 9926
100,000 - 74 = 99926

So if there are n zerors there are (n-2) 9s and 2 and 6

In ou case there are 50 0s
so (50-48)*9=432
432 +2 +6 =440
Answer C
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 [#permalink] New post 21 Nov 2006, 01:01
In your question 1 there is typo

. In 1997 there were 300 female employees at Company C. If the number of female employees at Company C increased by 60 percent from 1997 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997?
(1) From 1977 to 1997 the number of female employees increased by 200 percent at
Company C.
(2) In 1977 there were 100 female employees at Company C
Senior Manager
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 [#permalink] New post 21 Nov 2006, 06:36
Damager wrote:
2. A set of numbers has the property that for any number t in the set, t + 2 is in the set. If –1 is in the set, which of the following must also be in the set?
I. -3
II. 1
III. 5

if -1 is in set then -1+2 = 1 is in set
if 1 i in set 1+2=3 is in set
if is in set then 3+2 so 5 is in set



Answer II and III

Why not I?
If t+2 = -1, then t=-3
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 [#permalink] New post 21 Nov 2006, 07:14
9 . Joanna bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she
buy?
(1) She bought $4.40 worth of stamps.
(2) She bought an equal number of $0.15 stamps and $0.29 stamps.

Ans: D
s1: For the total to be 4.40, 0.29stamps should be a multiple of 5. Only 10 works.

s2: 4.40/(0.15+0.29)
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 [#permalink] New post 21 Nov 2006, 07:19
7 . A photographer will arrange 6 people of 6 different heights for photograph by placing
them in two rows of three so that each person in the first row is standing in front of
someone in the second row. The heights of the people within each row must increase
from left to right, and each person in the second row must be taller than the person
standing in front of him or her. How many such arrangements of the 6 people are
possible?
A. 5
B. 6
C. 9
D. 24
E. 36

I do not know a better way. I happened to list the nos. It took time. Ans:A(5)
246
135

256
134

356
124

346
125

456
123

6 . If w and c are integers, is w > 0?
(1) W + c > 50
(2) C > 48

My ans:E

Greater 48, 50 than can be any no. which leads w to be either -ve or +ve.
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 [#permalink] New post 21 Nov 2006, 07:22
5 . In the xy-plane, point (r, s) lies on a circle with center at the origin. What is the value of
R^2 + s^2?
(1) The circle has radius 2.
(2) The point (v2, -v2) lies on the circle.

Ans:A

s1: According to the equation r^2+s^2=radius^2, we get the value - suff
s2: Does not give any value - insuff
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 [#permalink] New post 21 Nov 2006, 07:34
8 . June 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note:
1984 was a leap year.)
A. Sunday
B. Monday
C. Tuesday
D. Wednesday
E. Thursday


I guess it is E.
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 [#permalink] New post 21 Nov 2006, 07:48
Is there a typo in the first question?
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 [#permalink] New post 21 Nov 2006, 07:51
12 . In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps. The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps. If 5,000 have been vaccinated against both, how many have been vaccinated only against rubella?
A. 2,500
B. 7,500
C. 10,000
D. 15,000
E. 17,500


Ryes Rno mtotal
Myes 5000 2500 7500

Mno X

Rtotal 15000

So x=10000 (c)
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 [#permalink] New post 23 Nov 2006, 23:38
OK. worked out the questions and only post the answers of mine.
I will post explanation if you need.

1. question is unclear. No answer. :-D

2. II and III. if the set starts at -1, it only increases. so u can't find -3.

3. B.

4. C. try out 100^2, 100^3, 1000^4 and find the pattern.

5. C. if (v2, -v2) means (2, -2). i dont understand what the v means. What it asks is basically the square of the radius.

6. E. plug in and find exceptions.

7. A.

8. E.

9. A.
This one is tricky, as the answers can only be integer. and 0.29 stamps can only be multiple of 5. try out and you find you have to buy 10 pieces of both. this is hte only answer.
2) alone is not enough.

10. C

11. only III

12. C.
  [#permalink] 23 Nov 2006, 23:38
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