Practice Test 5 - GMAT Quantitative

20 questions. Answer them in any order, then submit to see your score and every explanation.

A coffee roaster wants to make 30 pounds of a blend that is 40\% Arabica beans by mixing beans that are 25\% Arabica with beans that are 60\% Arabica. How many pounds of the 60\% Arabica beans should be used?
In a system of equations $ax + by = 12$ and $cx + dy = 18$ , if $a = 2c$ and $b = 2d$ , what must be true about the relationship between the two equations?
How many distinct arrangements of the letters in the word ALGORITHM have all three vowels (A, O, I) appearing consecutively in any order?
A single ticket is drawn at random from tickets numbered 1 through 30. What is the probability that the number drawn is a multiple of 3 or a multiple of 5, but not a multiple of both?
If $|u-3|+|v+4|=0,$ what is $|u+v|\ ?$
Two gears have 36 and 48 teeth respectively. If they start with specific teeth aligned, after how many revolutions of the smaller gear will the same teeth be aligned again?
A driver traveled from City A to City B at 60 mph and returned along the same route at 40 mph. If the round trip took exactly 7 hours, what is the distance between City A and City B?
Alicia is 4 years older than Benito. Five years from now, the sum of their ages will be 50. How old is Alicia now?
The phrase "3 less than twice a number is at least 5 and at most 11" can be modeled by which set of all possible values of the number?
Which of the following is equivalent to $x^{4}-5x^{2}+4$ ?
Suppose $(p x+4)(x-2)+(2-x)(x+2)$ is written as $ax^{2}+bx+c.\$ If$ a=7, $what is the value of$ p?$$
Which of the following is equivalent to $(x+2)(x-5)-(x-3)(x+4)?$
If $n = 2^4 \times 3^2 \times 5^3$ and $m = 2^3 \times 3^4 \times 7^2$ , what is $\frac{\text{LCM}(m,n)}{\text{GCF}(m,n)}$ ?
Bag X contains 4 gold and 6 silver coins. Bag Y contains 7 gold and 3 silver coins. A bag is selected at random and one coin is then drawn. If the coin drawn is gold, what is the probability that it came from Bag Y?
The greatest common factor of $18x^{3}y^{2}$ and $30x^{2}y^{4}$ is
If the least common multiple of integers $m$ and $n$ is $84$ and their greatest common factor is $7$ , which of the following could be $(m,n)$ ?
If $3(2x - 5) + 4 = 2(x + 1) - 7$ , what is the value of $x^2 - 3x + 2$ ?
If $3^{2x} \cdot 9^{x-1} = 27^{x+1}$ , what is the value of $x$ ?
A population grows at a rate of 8% per year. After how many complete years will the population first exceed 150% of its original size?
A manufacturing process produces bolts with lengths that have a standard deviation of 0.8 mm. To improve precision, engineers implement a new process. After the change, they measure 100 bolts and find that 68% fall within 0.6 mm of the mean length. Assuming the lengths are approximately normally distributed, what conclusion can be drawn about the new process?

Practice tests