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Data Sufficiency

Expert replies
by Tagne » Fri Mar 18, 2011 11:47 pm
1. Is the average (arithmetic mean) of 5 different positive integers atleast 30?
a. Each of the integer is a multiple of 10
b. The sum of the integer is 160

2. IxI = Y - Z ?
a. X + Y = Z
b. X < 0

3. Warehouse Q's revenue from the sale of sofas was what percent greater this year than it was last year?
a. Warehouse W sold 10 percent more sofas this year than it did last year
b. Warehouse W's selling price per sofa was $30 greater this year than it was last year

4. Circle C and line k lie in the xy-plane. If circle C is centered at the origin and has radius 1, does line k intersect c?
a. The x intercept of line k is greater than 1
b. The slope of line k is -1/10
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Source: — Problem Solving |

by force5 » Sat Mar 19, 2011 1:15 am
1. Is the average (arithmetic mean) of 5 different positive integers atleast 30?
a. Each of the integer is a multiple of 10
b. The sum of the integer is 160
IMO D

stmnt A- (sufficient)5 positive integers multiple of 10 will always have average more than 30 ( remember 1st positive integer will be 10)
stment2- (sufficient) if sum is 160 then average 160/5 will always be greater than 30



hope it helps
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by force5 » Sat Mar 19, 2011 1:23 am
2. IxI = Y - Z ?
a. X + Y = Z
b. X < 0
IMO- A

stmnt 1 - ( sufficient) x+y=z
then x = z-y ( when x positive)
x= y-z ( when x negative)
stmnt2- ( insufficient)
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by force5 » Sat Mar 19, 2011 1:28 am
3. Warehouse Q's revenue from the sale of sofas was what percent greater this year than it was last year?
a. Warehouse W sold 10 percent more sofas this year than it did last year
b. Warehouse W's selling price per sofa was $30 greater this year than it was last year

IMO E
we need to find increase/last year's profit

(1) (insuff) if last year is x then this year is 1.1x
required percent is 0.1/x
(2) (insuff) selling price last year y, this year y+30
reqd percent 30/y moreover no info about how many sofa's
combining (insuff)
still 2 variables.

hope it helps
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by Anurag@Gurome » Sat Mar 19, 2011 1:39 am
Tagne wrote:1. Is the average (arithmetic mean) of 5 different positive integers atleast 30?
a. Each of the integer is a multiple of 10
b. The sum of the integer is 160
Statement 1: Minimum possible values of the integers are 10, 20, 30, 40, and 50. Hence minimum possible average is 30.

Sufficient

Statement 2: Sum of the integers = 160 and number of integers = 5
Hence, average = 160/5 = 32

Sufficient

The correct answer is D.
Last edited by Anurag@Gurome on Sat Mar 19, 2011 2:32 am, edited 1 time in total.
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by force5 » Sat Mar 19, 2011 1:42 am
4. Circle C and line k lie in the xy-plane. If circle C is centered at the origin and has radius 1, does line k intersect c?
a. The x intercept of line k is greater than 1
b. The slope of line k is -1/10
Good question
IMO- E

lets start with stmnt 2
insuff- info means slope is -ve but no other info about the line. line can be anywhere.
stmnt1- insuff
we dont know what is the slope of the line

combining ( still insuff)
although it seems that C will give the answer. however there can be two scenarios. (1) the point according to stmnt1 lies close to x=1 ( though will still be greater than 1) ... in this case the line will intersect the circle. (2) consider that the point lies too far away on x axis... say x= 100000000000000 then this line will not intersect the circle.

Hope it helps..
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by force5 » Sat Mar 19, 2011 1:44 am
Statement 1: Let's assume following set of integers
1. {0, 10, 20, 30, 40} --> Average = 20
2. {10, 20, 30, 40, 50} --> Average = 30

Not sufficient

Statement 2: Sum of the integers = 160 and number of integers = 5
Hence, average = 160/5 = 32

Sufficient

The correct answer is B.
hi Anurag i think the answer to this question should be D. the integers have to be +ve. Zero is not a positive integer. hence the first integer here will have to be 10...
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by Anurag@Gurome » Sat Mar 19, 2011 1:47 am
Tagne wrote:2. IxI = Y - Z ?
a. X + Y = Z
b. X < 0
Statement 1: x + y = z => x = (z - y)
Now, we have two possible scenarios
  • 1. x ≥ 0 => |x| = x = (z - y) --> Answers the question in NO
    2. x < 0 => |x| = -x = (y - z) --> Answers the question in YES
Not sufficient

Statement 2: No information about y and z --> Not sufficient

1 & 2 Together: Now we know x is negative.
Hence, |x| = -x = (y - z)

Sufficient

The correct answer is C.
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by force5 » Sat Mar 19, 2011 2:26 am
MO- A

stmnt 1 - ( sufficient) x+y=z
then x = z-y ( when x positive)
x= y-z ( when x negative)
stmnt2- ( insufficient)
Guys please correct.. the answer should be C. i did make a mistake.


thanks
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by Anurag@Gurome » Sat Mar 19, 2011 2:33 am
force5 wrote:hi Anurag i think the answer to this question should be D. the integers have to be +ve. Zero is not a positive integer. hence the first integer here will have to be 10...
Thanks for the correction.
Edited the reply.
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by KRISH1985 » Fri Jul 22, 2011 12:42 am
Hi Anurag!

One question here, is Zero not a multiple of 10?

If I consider 0,10,20,30,40, then the average is less than 30..

Should we not consider 0 as multiple of number in such questions?
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by KRISH1985 » Fri Jul 22, 2011 12:55 am
got, positive integers are numbers greater than 0.
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by Ozlemg » Fri Jul 22, 2011 3:28 am
What are the OA of other questions?
The more you suffer before the test, the less you will do so in the test! :)
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by GmatKiss » Sat Aug 06, 2011 5:09 am
IMO:C for Q3,

what is OA?
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