official practice test questions

[ss1]

At a certain company, the average number of experience (in years) for males is 9.8, and 9.1 for female employees. What is the ratio of the number of male employees to female employees?
1)there are 52 males at the company
2)the average number of experience for the company’s male and female employees combined is 9.3 years


answer: B


The rate of a reaction is directly proportional to the square of the concentration of A and inversely proportional to concentration of B. If B increases by 100%, which of the following is closest to the % change in concentration of A required to keep the rate unchanged?
a. 100% decrease
b. 50% decrease
c. 40% decrease
d. 40% increase
e. 50% increase

answer: d

A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If median of the measurements is 6/7 times the mean, what is the value of x?
a. 16
b. 10
c. 12
d. 13
e. 15
answer:a

If x and y are integers greater than 1, is x a multiple of y?
a. 3(y^2) + 7y = x
b. x^2 – x is a multiple of y



a manufacturer conducted a survey to find out how many people buy product P and Q. what fraction of the people surveyed said they bought neither P nor product Q?

1) 1/3 of the people surveyed said they bought product P but not Q
2) ½ said they bought product Q

answer :c

[RHYME800]

For 1,
9.8x + 9.1y= 9.3x+9.3y => .5x=.2y=>x:y=5:2. B.

[ss1]

thank you. that was a dumb question can anyone help with the others, please? i just cant crack them!

[sonikamadala]

II) r = (ka^2)/b
r1 = (ka^2)/2b => r1 = r/2

to make r1= r, a should be multiplied with sqrt(2).

Sqrt(2) = 1.41. so approx 40% increase.

[sonikamadala]

III) median M = 6+8/2 = 7
7 = (6/7) m where m is mean.
so m = 49/6
33+x/6 = 49/6
x= 16

[sonikamadala]

IV) IMO answer is A.

1) substitute any value for y and check. It says x is multiple of Y.


2) x(x-1)/y = int
if x= 3 and y = 2 , then x(x-1)/y will be an int.
But x is not multiple of y. So not suff

A wins

[sonikamadala]

V) fraction f = (total T - P U Q) / T

1) only P = 1/3 T Not suff
2) only Q + P interset Q = 1/2 T Not suff

(1) & (2) : only P + only Q + P interset Q = P U Q.

So suff
C wins

[muralik]

iv:

1 x = y(...) clearly a multiple of y
2. x(x-1) is a multiple of y

CASE 1 x is multiple of y
CASE 2 x -1 is a multiple of y
CASE 3 neither x or x-1 alone is a multiple of y but the product is a multiple of y

not sufficient


Hence A

[ss1]

If x and y are integers greater than 1, is x a multiple of y?
a. 3(y^2) + 7y = x
b. x^2 – x is a multiple of y
answer: A. why? i get D
also, here are two others:
October 31, 2009
What is the greatest possible area of a triangle region with one vertex at the center of a circle with radius one and the other two vertices on the circle?
A)(3^0.5)/4
B) 0.5
C)pie/4
D)1
E)(2^0.5)
OA B


A certain car averages 25 miles per gallon when driven in the city, and 40 miles per gallon when driven on the highway. According to these rates, which of the following is the closest to the number of miles per gallon that the car averages when driven 10 miles in the city and 50 miles on the highway?
A)28 B)30 C)33 D)36 E)38
OA D

[sonikamadala]

Originally Posted by muralik

iv:

1 x = y(...) clearly a multiple of y
2. x(x-1) is a multiple of y

CASE 1 x is multiple of y
CASE 2 x -1 is a multiple of y
CASE 3 neither x or x-1 alone is a multiple of y but the product is a multiple of y

not sufficient


Hence A

good approach...