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If \(x\) is positive and \(y\) is \(1\) less than the square of \(x,\) which of the following expresses \(x\) in terms

If \(x\) is positive and \(y\) is \(1\) less than the square of \(x,\) which of the following expresses \(x\) in terms of \(y?\)

A. \(x=y^2-1\)

B. \(x=y^2+1\)

C. \(x=\sqrt{y}+1\)

D. \(x=\sqrt{1-y}\)

E. \(x=\sqrt{y+1}\)

The OA is E


If \(x\) and \(y\) are positive integers and \(x < y,\) what is the value of \(x?\)

If \(x\) and \(y\) are positive integers and \(x < y,\) what is the value of \(x?\)

1. The product of \(x\) and \(y\) is \(17\)

2. \(x^2 \cdot y = xy\)

The OA is D


John invested \(\dfrac{1}{4}\) of \(A\) dollars in an investment fund, and placed the remaining \(\dfrac{3}{4}\) of

John invested \(\dfrac{1}{4}\) of \(A\) dollars in an investment fund, and placed the remaining \(\dfrac{3}{4}\) of \(A\) dollars in savings account. If he made a \(4p\%\) loss on the fund, and a \(p\%\) profit on the savings account, what was his total profit (or loss), in terms of \(A\) and \(p?\)...


What is the average (arithmetic mean) of the values \(39, 40, 39, 45, 42, 35, 47?\)

What is the average (arithmetic mean) of the values \(39, 40, 39, 45, 42, 35, 47?\)

A. \(39\)
B. \(41\)
C. \(42\)
D. \(45\)
E. \(47\)

The OA is B


For any increase in \(x,\) the value of \(y\) decreases by double the value of increase in \(x.\) Also, for any decrease

For any increase in \(x,\) the value of \(y\) decreases by double the value of increase in \(x.\) Also, for any decrease in \(x,\) the value of \(y\) increases by double the value of decrease in \(x.\) What is the value of \(x\) when \(y\) is \(2?\) 1) When \(x\) is \(1,\, y = 5\) 2) When \(x\) is \...


At a certain automobile dealership that sells only Tajimas and Franks, the number of nonhybrid Tajimas is \(35\) less

At a certain automobile dealership that sells only Tajimas and Franks, the number of nonhybrid Tajimas is \(35\) less than \(3\) times the number of hybrid Tajimas. \(205\) total Tajimas are currently owned by the dealership. If the ratio of hybrid Tajimas to nonhybrid Franks is \(5:4\) and there ar...


If a ball is thrown from the ground with velocity \(u \, m/s\) upwards in a gravitation field with \(g \,m/s^2\)

If a ball is thrown from the ground with velocity \(u \, m/s\) upwards in a gravitation field with \(g \,m/s^2\) acceleration working downwards. The ball is rebounded and for each rebound, the velocity reduces to f times of previous velocity (\(0<f<1\)). What is the total distance travelled by the b...


Paul jogs at a constant rate for \(80\) minutes along the same route every day. How long is the route?

Paul jogs at a constant rate for \(80\) minutes along the same route every day. How long is the route?

1. Yesterday, Paul began jogging at \(5{:}00 \,\text{P.M.}\)
2. Yesterday, Paul had jogged \(5\) miles by \(5{:}40\, \text{P.M.}\) and \(8\) miles by \(6{:}04\, \text{P.M.}\)

The OA is B


A motorcycle covers a total distance of \(588\,\text{km}\) in \(9\) hours. It covers part of the distance at \(60\)

A motorcycle covers a total distance of \(588\,\text{km}\) in \(9\) hours. It covers a part of the distance at \(60\,\text{km/h}\) speed and the balance at \(72\,\text{km/h}\) speed. Find the time it travelled at \(72\,\text{km/h}\) speed. A. \(4\text{ h}\) B. \(3 \text{ h} \,30 \text{ min}\) C. \(3...


The cost of ship a series of identical packages through Alpha Shipper Company is \(\$40\) for the first \(10\) packages

The cost to ship a series of identical packages through Alpha Shipper Company is \(\$40\) for the first \(10\) packages and \(\$6\) for each additional package after the tenth package. Did an online retailer who only uses Alpha Shipper Company for shipping ship more than \(35\) on Monday? 1. If \(4\...


Three people each took \(5\) tests. If the ranges of their scores in the \(5\) practice tests were \(17, 28,\) and

Three people each took \(5\) tests. If the ranges of their scores in the \(5\) practice tests were \(17, 28,\) and \(35,\) what is the minimum possible range in scores of the three test-takers?

A. \(17\)
B. \(28\)
C. \(35\)
D. \(45\)
E. \(80\)

The OA is C


If \(\$6,000\) invested for one year at \(x\) percent simple annual interest yields \(\$450,\) what amount must be

If \(\$6,000\) invested for one year at \(x\) percent simple annual interest yields \(\$450,\) what amount must be invested at \(y\) percent simple annual interest for one year to yield the same number of dollars? 1) If \(\$4,500\) were invested at y percent simple annual interest for one year, the ...


An investment club has had an average rate of return of \(15\%\) per year for the past \(6\) years. If Teresa invests

An investment club has had an average rate of return of \(15\%\) per year for the past \(6\) years. If Teresa invests \($1000\) and neither adds nor subtracts money from the club, how much will Teresa have invested after \(5\) years assuming that the rate of return does not change? A. \(1000+1.15^5\...


A dealer bought a merchandise at \(a\%\) less than its marked price and then sold at \(b\%\) less than its marked price.

A dealer bought a merchandise at \(a\%\) less than its marked price and then sold at \(b\%\) less than its marked price. What was the value of the discount offered to customers?

1. \(a=6\%\)
2. The dealer made a profit of \(5\%\)

The OA is C