List of practice Questions

A new Coffee Bean & Tea Leaf coffee drink consists only of certain amounts of espresso and sugar. What is the ratio of espresso to sugar in the new drink?
(1) There are 15 ounces of sugar in 35 ounces of the new drink.
(2) There are 40 ounces of espresso in 70 ounces of the new drink.

How many in a group are women with blue eyes?
(1) Of the women in the group, 5 percent have blue eyes.
(2) Of the men in the group, 10 percent have dark-colored eyes.

On a soccer team, one team member is selected at random to be the goalie. What is the probability that a substitute player will be the goalie?
(1) One-sixth of the team members are substitute players.
(2) 18 of the team members are not substitute players.

Circle P is inside Circle Q, and the two circles share the same center X. If the circumference of Q is four times the circumference of P, and the radius of Circle P is three, what is the difference between Circle Q's diameter and Circle P's diameter?

A yellow taxi cab went from Downtown to the Beachside and back at an average speed of 2/3 miles per hour. If the distance from Beachside to Downtown is 1 mile, and the trip back took half as much time as the trip there, what was the average speed of the yellow taxi cab on the way to Beachside?

Circle B's diameter was multiplied by 1.8. By what percent, approximately, was the area increased?

What is the value of the square root of the square root of .00000256?

Which of the following is NOT a possible value of \( \frac{1}{4 - x} \)

Matthew, Jared, and Richard all bought flowers. The number of flowers Matthew purchased was equal to a single digit. Of the numbers of flowers purchased by Matthew, Jared, and Richard, only one was divisible by 3. The number of flowers one of them bought was an even number. Which of the following could represent the numbers of flowers each purchased?

Is $a^2 > 3a-b^4$?
1. $3a-b^4 = -5$
2. a $>$ 5 and b $>$ 0

Line M is tangent to a circle, which is centered on point (3, 4). Does Line M run through point (6, 6)?
1. Line M runs through point (-8, 6)
2. Line M is tangent to the circle at point (3, 6)

For nonnegative integers x and y, what is the remainder when x is divided by y?
1. \(\displaystyle \frac{x}{y}=13.8\)
2. The numbers \(\displaystyle x\) and \(\displaystyle y\) have a combined total of less than 5 digits.

If x and y are positive integers, is x/y an integer?
1. Every factor of y is also a factor of x
2. Every factor of x is also a factor of y

What is the average of the terms in set J?
1. The sum of any three terms in Set J is 21
2. Set J consists of 12 total terms.

Is xy $>$ 24?
1. y - 2 $<$ x
2. 2y $>$ x + 8

If a, b, and c are distinct positive integers where a$<$b$<$c and $\sqrt{abc}=c$, what is the value of a?
1. c=8
2. The average of a, b, and c is 143

What is the value of x?
(1) \((x)(x + 1) = (2013)(2014)\)
(2) x is odd

If Alyssa is twice as old as Brandon, by how many years is Brandon older than Clara?
(1) Four years ago, Alyssa was twice as old as Clara is now.
(2) Alyssa is 8 years older than Clara.

Is \(x>9\)?
1. \(x^2+3x=28\)
2. \(9x-5x=28\)

What is the value of \(j+k\)?
1. \(mj+mk = 2m\)
2. \(5j + 5k = 10\)

x is a positive integer less than 20. What is the value of x?
1. x is the sum of two consecutive integers.
2. x is the sum of five consecutive integers.

If arc XYZ above is a semicircle, what is its length?
1. q = 2
2. r = 8

If \(yz \neq 0\), is \(x-y+z < xz-yz-xy\)?
1. \(\displaystyle \frac{x}{y}<-\frac{1}{2}\)
2. \(\displaystyle xy< 0\)

Set T is a finite set of positive consecutive multiples of 14. How many of these integers are also multiples of 21?
1. Set T consists of 30 integers.
2. The smallest integer in Set T is a multiple of 21.