Pre-calculus
What is the slope of a line perpendicular to 3x - 2y = 6?
-2/3
A line through the point (2, -2) is tangent to a function f at the point (-2, 6). What is f’(-2) ?
-2
A 300 ft. train is travelling 300 ft. per minute must travel through a 300 ft. long tunnel. How long will it take the train to travel through the tunnel?
2 mins
What is the probability of getting heads three times in a row when flipping a coin?
1/8
How many times can you subtract the number 5 from 35?
Once
Let f(x) be an odd function that has the property: 3f(x) - f(−x) = sin (x). What is the value of f(pi/2)
1/4
Function f is differentiable and f(3)=6 , f’(3)=4 . Function g is defined as g(x)=f(x)/x. What is g’(3).
2/3
I am a three digit number. My second digit is four times bigger than the third digit. My first digit is three less than my second digit. Who am I?
141
On a six-sided die, each side has a number between 1 and 6. What is the probability of throwing a 3 or a 4?
1/3
Five people were eating apples, A finished before B, but behind C. D finished before E, but behind B. What was the finishing order?
CABDE
f (x+1)=1/(2x), what is f(2x + 3)?
1/(4x+4)
f’(x)=cos(2x). How many relative extrema does function f(x) have on the interval pi/2 < x<2pi?
3
Can you arrange 4 nines to make it equal to 100 with any mathematical operation?
99+9/9
There are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. What is the probability of selecting a blue or red marble on the first draw?
9/14
Some months have 31 days; others have 30. How many have 28 days?
12
If the sine of an acute angle equals 2/3, what is cosine of the angle?
sqrt root of (5)/3
Find limit of sin(3x)/5x when x is approaching 0
3/5
If 4 men can build 4 tables in 4 hours, how many tables can 8 men build in 8 hours?
16
A regular deck of cards has 52 cards. Assuming that you do not replace the card you had drawn before the next draw, what is the probability of drawing three aces in a row?
1/5525
Before the days of motor cars, a man rode into town on his horse. He arrived on Sunday, spent three days in town and left on Sunday. How is that possible?
The name of the horse was Sunday.
If 6x = 42 and xk = 2, what is the value of k?
2/7
f(x)=x4+4x3. On which intervals is f decreasing?
(- infinity, -3)
What is the missing number in the sequence 2, 5, 9, 14, 20, ?, 35?
27
In a lottery game, there are 2 winners for every 100 tickets sold on average. If a man buys 10 tickets, what is the probability that he is a winner?
18.3%
Hritik is taller than Salman who is shorter than Sanjay. Akshay is taller than Shahrukh but shorter than Salman. Sanjay is shorter than Hritik. Who is the tallest?
Final ranking of height in descending order is : Hritik, Sanjay, Salman, Akshay, Shahrukh. Hence, Hritik is the tallest.