List of practice Questions

What is the value of \(w + q\)?
(1) \(3w = 3 - 3q\)
(2) \(5w + 5q = 5\)

Is \( \frac{5^{x+2}}{25}<1 \)?
(1) \( 5^x<1 \)
(2) \( x<0 \)

Is the standard deviation of the set of measurements \(x_1, x_2, x_3, ..., x_{20}\) less than 3?
(1) The variance for the set of measurements is 4.
(2) For each measurement, the difference between the mean and that measurement is 2.

If the units digit of integer n is greater than 2, what is the units digit of n?
(1) The units digit of n is the same as the units digit of n².
(2) The units digit of n is the same as the units digit of n³.

Aaron will jog from home at x miles per hour and then walk back home by the same route at y miles per hour. How many miles from home can Aaron jog so that he spends a total of t hours jogging and walking?

If the positive integer x is a multiple of 4 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following?
I. 8
II. 12
III. 18

John deposited \$10,000 to open a new savings account that earned 4 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John's account 6 months after the account was opened?

If \(n = \frac{16}{81}\), what is the value of \(\sqrt{n}\)?
*(Note: The OCR included a typo, which has been corrected to the most logical question based on the options.)*

If \(\sqrt{3-2x} = \sqrt{2x + 1}\), then \(4x^2 =\)

Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

A closed cylindrical tank contains 36\(\pi\) cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?

The sequence \(a_1, a_2, a_3, \dots, a_n, \dots\) is such that \(a_n = \frac{a_{n-1} + a_{n-2}}{2}\) for all \(n \geq 3\). If \(a_3 = 4\) and \(a_5 = 20\), what is the value of \(a_6\)?

Last month a certain music club offered a discount to preferred customers. After the first compact disc purchased, preferred customers paid \$3.99 for each additional compact disc purchased. If a preferred customer purchased a total of 6 compact discs and paid \$15.95 for the first compact disc, then the dollar amount that the customer paid for the 6 compact discs is equivalent to which of the following?

If "x" is a positive integer, is \(x>33\)?
I. x is an odd number.
II. The sum of the digits of x is 5.

If 'm' is a positive integer, is "m\(^2\) + 1" divisible by 10 (leaves remainder ZERO)?
I. When m is divided by 2, it leaves a remainder of 1.
II. When m is divided by 5, it leaves a remainder of 2.

If "P" is a positive integer, is \(P^4 + 7\) an odd number?
I. "P" is the smallest positive integer that is divisible by all the integers from 51 to 55, inclusive.
II. \(13^P\) is an odd number.

If \(p^2\) is an integer and \(\sqrt{p^6 - p^4 - q - 1} = 10\), what is the value of "\(p^2\)"?
I. \(q = -1\)
II. \(p^2 + q = 4\)

If 'x' is a number such that \(x^2 - 5x + 4<0\) and \(x^2 - 3x + 2<0\), which of the following can be the value of 'x'?

Alan purchased pens and pencils at a certain shop, where each pen costs 3 dollars and each pencil cost 2 dollars. What is the total number of pen and pencils Alan purchased?
I. Alan bought pen and pencils for the total cost of 10 dollars.
II. Total cost of the pens which Allan bought is less than 10 dollars.

A certain cafeteria sells donuts and pizzas. Is the number of people who bought donuts are more than the number of people who bought pizzas?
I. Of the people who bought donuts, 30 percent of them also bought pizzas.
II. Of the people who bought pizzas, 40 percent of them also bought donuts.

Lines "l" and "k" are perpendicular to each other. And line "l" passes through points (4,1) and (8, -1). What is the equation of the line "k" which passes through the point (3,1)?

The interior of a rectangular box is designed by a certain manufacturer to have a volume of "m" cubic feet and ratio of length to width to height of 5:3:2. In term of "m", which of the following equals the length of the box in feet?

In the diagram above, triangle PQR has a right angle at Q. If PQ>QR, then what is the ratio of the area of triangle PQS to the area of triangle RQS?

I. Line segment QS is perpendicular to PR and has a length of 12.
II. PQR has a perimeter of 60.

By what percent was the price of a certain Tab discounted for a sale?
I. The price of the tab was sold with a discount of \$50.
II. The price of the tab before it was discounted for the sale was 25 percent greater than the discounted price.

If \(p<x<q\) and \(r<y<s\), is \(x>y\)?
I. p = r
II. q<r