#1 Quiz 15 Medium Quant Questions

Q #1

\(xy < 0\)

\(\frac{a}{x} < \frac{b}{y}\)

Quantity A	Quantity B
\(ay\)	\(bx\)

Q #2

\(|x-2| > 3\)

Quantity A	Quantity B
The minimum possible value of |x - 3.5|	The minimum possible value of | x - 1.5 |

Q #3

Quantity A	Quantity B
The number of days between May 30, 1917, and May 15, 1996, inclusive	The number of days between May 15, 1912, and May 30, 1991, inclusive

Q #4

Set A consists of 35 consecutive integers.

Quantity A	Quantity B
The probability of selecting an even number less than the median from set A	The probability of selecting an odd number greater than the median from set A

Q #5


The 75th percentile on a test corresponded to a score of 700, while the 25th percentile corresponded to a score of 450.

Quantity A	Quantity B
A 95th percentile score	\(800\)

Q #6

Ramon wants to cut a rectangular board into identical square pieces. If the board is 18 inches by 30 inches, what is the least number of square pieces he can cut without wasting any of the board?

(A) 4
(B) 6
(C) 9
(D) 12
(E) 15





Q #7

Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to make salad dressing. If Larry has 8 cups of oil, 7 cups of vinegar, and access to any amount of water, what is the maximum number of cups of salad dressing he can make with the ingredients he has available, if fractional cup measurements are possible?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16




Q #8

Jack has a cube with 6 sides numbered 1 through 6. He rolls the cube repeatedly until the first time that the sum of all of his rolls is even, at which time he stops. (Note: it is possible to roll the cube just once.) What is the probability that Jack will need to roll the cube more than 2 times in order to get an even sum?

(A) 1/8
(B) 1/4
(C) 3/8
(D) 1/2
(E) 3/4




Q #9

In the sequence a1, a2, a3,....a100, the kth term is defined as \(ak= \frac{1}{k} - \frac{1}{k+1}\) for all integers k from 1 through 100. What is the sum of 100 terms of the sequence?

A. \(\frac{1}{10100}\)

B. \(\frac{1}{100}\)

C. \(\frac{1}{101}\)

D. \(\frac{100}{101}\)

E. \(1\)




Q #10

Because her test turned out to be more difficult than she intended it to be, a teacher decided to adjust the grades by deducting only half the number of points a student missed. For example, if a student missed 10 points, she received a 95 instead of a 90. Before the grades were adjusted the class average was A. What was the average after the adjustment?

A) \(50 + \frac{A}{2}\)

B) \(\frac{1}{2}\) * \((100 - A)\)

C) \(100 -\) \(\frac{A}{2}\)

D) \(\frac{50 + A}{2}\)

E) \(A + 25\)





Q #11




The median score for the class is

(A) 76

(B) 77

(C) 78

(D) 79

(E) 80





Q #12

The only contents of a container are 10 disks that are each numbered with a different positive integer from 1 through 10, inclusive. If 4 disks are to be selected one after the other, with each disk selected at random and without replacement, what is the probability that the range of the numbers on the disks selected is 7 ?


A) \(\frac{1}{7}\)

B) \(\frac{3}{14}\)

C) \(\frac{2}{7}\)

D) \(\frac{1}{2}\)

E) \(\frac{15}{28}\)





Q #13


If \(\sqrt{\sqrt{\sqrt{3x} = \sqrt[4]{2x}\), what is the greatest possible value of x?





Q #14

Conference Ticket Advance Discounts

5-29 days in advance	15%
30-59 days in advance	30%
60-89 days in advance	40%

Helen paid $252 for a conference ticket. If she had purchased the ticket one day later, she would have paid $306. How many days in advance did she purchase the ticket?

(A) 5
(B) 30
(C) 59
(D) 60
(E) 89




Q #15



In the figure above, the diameter of the circle is 20 and the sum of the area of the sectors CFAO and BGDO is \(80\pi\). What is the value of \(a + b + c + d\)?

A) 144

B) 216

C) 240

D) 270

E) 288