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Questions and Answers
If Kevin's private jet flies from Los Angeles to San Francisco in 3 hours, and back in 2-7/19 hours, what is the velocity of the wind?
If Kevin's private jet flies from Los Angeles to San Francisco in 3 hours, and back in 2-7/19 hours, what is the velocity of the wind?
- 24 mph (correct)
- 25 mph
- 18 mph
- 20 mph
How much water must be added to 8 gallons of an 80% boric solution to reduce it to a 50% solution?
How much water must be added to 8 gallons of an 80% boric solution to reduce it to a 50% solution?
- 4 gal
- 4 4/5 gal
- 5 3/5 gal
- 5 gal (correct)
If the sum of three numbers in an arithmetic progression is 15, and the sum of their squares is 83, what are the three numbers?
If the sum of three numbers in an arithmetic progression is 15, and the sum of their squares is 83, what are the three numbers?
- 5, 7, 9 (correct)
- 3, 5, 7
- 1, 7, 8
- 1, 3, 5
A besieged fortress is held by 5,700 men who have provisions for 66 days. If the garrison loses 20 men each day, for how many days can the provisions hold out?
A besieged fortress is held by 5,700 men who have provisions for 66 days. If the garrison loses 20 men each day, for how many days can the provisions hold out?
What is the value of $f(x + 1) - f(x)$ if $f(x) = 10^x + 1$?
What is the value of $f(x + 1) - f(x)$ if $f(x) = 10^x + 1$?
What are the values of $n$ if $(2n - 6)$ is greater than 1 but less than 14?
What are the values of $n$ if $(2n - 6)$ is greater than 1 but less than 14?
What is the value of $( ext{sq. rt. of } -10) imes ( ext{sq. rt. of } -7)$?
What is the value of $( ext{sq. rt. of } -10) imes ( ext{sq. rt. of } -7)$?
If two engineers are replaced by nurses and 51% of the group becomes nurses, how many engineers and nurses initially existed?
If two engineers are replaced by nurses and 51% of the group becomes nurses, how many engineers and nurses initially existed?
Determine the value of $k$ so that the sum of roots of $3kx^2 + 3k^2 - 4kx = 5 - 3x$ exceeds the product of roots by 3.
Determine the value of $k$ so that the sum of roots of $3kx^2 + 3k^2 - 4kx = 5 - 3x$ exceeds the product of roots by 3.
When the polynomial $x^3 + 4x^2 - 3x + 8$ is divided by $x - 5$, what is the remainder?
When the polynomial $x^3 + 4x^2 - 3x + 8$ is divided by $x - 5$, what is the remainder?
What are the two arithmetic means that can be inserted between -22 and -4?
What are the two arithmetic means that can be inserted between -22 and -4?
If two numbers differ by 40 and their arithmetic mean exceeds their positive geometric mean by 2, what are the numbers?
If two numbers differ by 40 and their arithmetic mean exceeds their positive geometric mean by 2, what are the numbers?
At what time between 8 and 9 o’clock will the minute hand coincide with the hour hand?
At what time between 8 and 9 o’clock will the minute hand coincide with the hour hand?
At what time after 12:00 NN will the hour hand and minute hand of the clock first form an angle of 120 degrees?
At what time after 12:00 NN will the hour hand and minute hand of the clock first form an angle of 120 degrees?
If A and B can do a piece of work in 42 days, B and C in 31 days, and C and A in 20 days, how many days can all of them do the work together?
If A and B can do a piece of work in 42 days, B and C in 31 days, and C and A in 20 days, how many days can all of them do the work together?
What are the two numbers if their difference is 40 and their positive geometric mean exceeds their arithmetic mean by 2?
What are the two numbers if their difference is 40 and their positive geometric mean exceeds their arithmetic mean by 2?
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