These are Multiple Choice Questions (MCQ) from Exams posted before May 2024. These MCQs get orphaned after the system upgrade.
If 8 men can cut 22 trees in a day, how many trees can 20 men cut in a day?
Albert can do a work in 1 hour, Bryan can do it in 2 hours, and Carl can do it in 4 hours. Working together from start, how long can they do the work?
Mario’s hat is four more than Alex’s hat and one-half that of Gabriel’s hat. If the total number of hats is 24, how many hats does Alex have?
The shipment of items is divided into two portions. If the difference between the portions is one-third of their average, what is the ratio of the larger portion to the smaller portion?
A group of musicians is composed of three drummers, four pianists, and seven guitarists. How many ways can a trio are formed with 1 pianist, 1 drummer, and 1 guitarist?
If $| 3t - 5 | \gt 4$, which of the following is correct?
How many ways can 6 persons be seated at a round table if one seat is reserved for a specific person?
If $xyz = 8$ and $x^2z = 18$, what is the value of $y/x$?
Find the non-zero solution to the equation $3x^4 - 27x^3 = 0$.
A line is divided into 12 equal parts. If the measure of each part is a prime integer, what is the possible length of the line?
Solve for D in the given partial fraction:$$ \dfrac{4x^2 + 7x + 8}{x(x + 2)^3} = \dfrac{A}{x} + \dfrac{B}{x + 2} + \dfrac{C}{(x + 2)^2} + \dfrac{D}{(x + 2)^3} $$
Two cars A and B are traveling at the speed of 30 kph and 40 kph respectively on two different roads making an angle of 30 deg with each other.
A and B start at the same time from two places 154 km apart and travel toward each other. A travels 10 kph and B 8 kph. If B stopped 1 hour on the way, in how many hours will they meet?
The numbers 28, x + 2, 112, ... form a geometric progression. What is the 10th term?
A jogger starts a course at a steady rate of 8 kph. Five minutes later, a second jogger took the same course at 10 kph. How long will it take for the second jogger to catch the first?
What is the middle term in the expansion of $(x^2 + 3x)^8$?
Find k so that the expression kx^2 - 3kx + 9 is a perfect square.
Determine the value of a if (x + 2) is a factor of (x3 - ax2 + 7x + 10).
Express the following statement mathematically: 5 less than four times a certain number is 12.
The distance between the centers of the three circles which are mutually tangent to each other externally are 10, 12, and 14 units. The area of the smallest circle is:
In a class experiment, a student needs 5 liters of 6% solution. He found a 4% and a 10% solution in the laboratory. How many liters of each solution should he mix in order to obtain 5 liters of 6% solution?
How many 3-digit numbers greater than 300 can be made out from digits 0, 1, 2, 3, 4, 5, and 6 if repetition of digit is not allowed?
ZT7bdKE-1 None is defective.
ZT7bdKE-2 Two are defective.
dYv94eu-1 The constant of proportionality.
dYv94eu-2 The volume at 420 degree K
dYv94eu-3 The temperature when the volume is 2.625 liters.
k2X6fTJ-1 Find the rate of pipe A in liters per minute.
k2X6fTJ-2 Find the rate of pipe C in liters per minute
k2X6fTJ-3 Find the capacity of the tank in liters.
ZT7bdKE-3 Three or more are defective.
Find the sum of the coefficient of the variables in the expansion of $(2x + 4y - 3)^5$.
Find the product of the roots of the quadratic equation $4x^2 + 2x - 1 = 0$.
Find the 4th term in the expansion of $(x^3 + y^2)^4$.
Find $\ln A$ if $\log_5 A = 4$.
Find x in the expression (x/5)^2/3 = 5.
$\log_3 11 = x$. What is the value of x?
The middle term in the expansion of $(x^3 + 4)^{10}$ is...
Given $\log_a 2 = x$, $\log_a 5 = y$, and $\log_a 6 = z$, express $\log_a 0.15$ in terms of x, y, and z.
Solve for x from $7^{2x - 1} = 3^{x + 1}$.
There were 150 mg of a radioactive material stored at the start of the year 2000. The material has a half-life of 15 years. How much radioactive material will there be at the start of 2040?
The sum of three numbers is 7 and the sum their reciprocals is 7/5. If these three numbers form into a GP, find their product.
Find the sum of $$ 1 + 2\left( \dfrac{1}{3} \right) + 3\left( \dfrac{1}{3} \right)^2 + 4\left( \dfrac{1}{3} \right)^3 + \ldots + n\left( \dfrac{1}{3} \right)^{n - 1} + \dots $$
A sequence of numbers is defined by the relation $\dfrac{a_{n + 1}}{a_n} = 3^n$ and it is known that $a_1 = 1$. Find the value of $\log_3 a_{100}$.
The following three terms are in geometric progression: x, 2x + 7, 10x – 7. What is the 6th term?
Shureka Washburn has scores 72, 67, 82 and 79 on her algebra tests. Use an inequality to find the scores she must take on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two test.
Indirect Mail Inc. had been mailing out coupons for a clearance sale at a constant rate for 4 days, when they counted the coupons, they still had mail out and discovered they had 120,000 left. After 7 total days of work they had 75,000 left. At what rate
Consider the arithmetic sequence whose first term is 3 and common difference is -5. Write an expression for the general term an. Hint: an = a1 + (n - 1)d.
For a given GP, a1 = 5/21 and r = 1.2. Calculate the product of the first 21 terms.
The sequence a, b, c is an AP and the sequence a, b, c + 1 is in GP. If a = 1, find the value of c.