Problem Solving

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

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

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)

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

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..

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...

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

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?

got, positive integers are numbers greater than 0.

What are the OA of other questions?

IMO:C for Q3,

what is OA?