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Manager
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PFA, A set of Questions that I could not solve....Help needed here
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Senior Manager
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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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Senior Manager
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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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Senior Manager
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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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Senior Manager
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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, 13:28, edited 2 times in total.
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Senior Manager
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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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Senior Manager
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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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Senior Manager
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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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Senior Manager
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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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Senior Manager
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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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Senior Manager
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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
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Senior Manager
Joined: 24 Oct 2006
Posts: 348
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10
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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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Senior Manager
Joined: 24 Oct 2006
Posts: 348
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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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Senior Manager
Joined: 24 Oct 2006
Posts: 348
Followers: 1
Kudos [?]:
10
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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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Senior Manager
Joined: 24 Oct 2006
Posts: 348
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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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Senior Manager
Joined: 24 Oct 2006
Posts: 348
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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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VP
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Is there a typo in the first question?
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Senior Manager
Joined: 24 Oct 2006
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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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VP
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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. 
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.
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