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Andrew drove from \(A\) to \(B\) at \(60\) miles per hour. Then he realized that he had forgotten something at \(A\),

Andrew drove from \(A\) to \(B\) at \(60\) miles per hour. Then he realized that he had forgotten something at \(A\), and drove back at \(80\) miles per hour. He then zipped back to \(B\) at \(90 \,\text{mph}\). What was his approximate average speed in miles per hour for the entire trip? A. \(65 \,...


Two trains, \(Q\) and \(P\), are traveling on straight and parallel tracks. \(Q\) and \(P\) are traveling at different

Two trains, \(Q\) and \(P\), are traveling on straight and parallel tracks. \(Q\) and \(P\) are traveling at different constant rates. If train \(Q\) is now \(3\) miles ahead of train \(P\), in how many minutes will train \(Q\) be \(6\) miles ahead of train \(P?\) 1. Train \(Q\) is traveling at a sp...


A train can travel \(50\%\) faster than a car. Both start from point \(A\) at the same time and reach point \(B\)

A train can travel \(50\%\) faster than a car. Both start from point \(A\) at the same time and reach point \(B\) \(75 \,\text{kms}\) away from \(A\) at the same time. On the way, however, the train lost about \(12.5\) minutes while stopping at the stations. The speed of the car is: A. \(100 \text{ ...


To make the school racquetball team, Larry must win at least \(75\%\) of his matches during tryouts. He must play a

To make the school racquetball team, Larry must win at least \(75\%\) of his matches during tryouts. He must play a predetermined number of matches, none of which may end in a draw. If Larry wins every one of his remaining matches, he will finish with a winning percentage of exactly \(75\%.\) How ma...


In a promotional offer \('3+1',\) a mobile company offers a mobile free on purchase of \(3\) mobiles. What is the

In a promotional offer \('3+1',\) a mobile company offers a mobile free on purchase of \(3\) mobiles. What is the discount?

A. \(25\%\)
B. \(33.33\%\)
C. \(66.66\%\)
D. \(75\%\)
E. Insufficient data

OA A


Four houses are on Block B; from east to west the houses belong to the Joneses, Smiths, Robinsons, and Jacksons. How far

Four houses are on Block B; from east to west the houses belong to the Joneses, Smiths, Robinsons, and Jacksons. How far is it from the Joneses' house to the Jacksons' house? 1. The distance from the Joneses' house to the Robinsons' house is \(68\) feet 2. The distance from the Smiths' house to the ...


A thrift shop sells pre-owned hardcover books for \(\$7\) each and pre-owned paperback books for \(\$5\) each.

A thrift shop sells pre-owned hardcover books for \(\$7\) each and pre-owned paperback books for \(\$5\) each. A customer makes a purchase of both hardcover books and paperback books. Before taxes, the total purchase price of the books is \(\$56.\) How many total books did the customer purchase? A. ...


In the rectangular coordinate system, what is the \(x\)-intercept of a line passing through \((10, 3)\) and

In the rectangular coordinate system, what is the \(x\)-intercept of a line passing through \((10, 3)\) and \((−6, −5)?\)

A. \(4\)
B. \(2\)
C. \(0\)
D. \(-2\)
E. \(-4\)

OA A


While driving in one direction on a straight highway, James moves past three inns - Bethlem Inn, The Antimone and The

While driving in one direction on a straight highway, James moves past three inns - Bethlem Inn, The Antimone and The Soliloquy, not necessarily in that order, and then stops at Stoby’s Restaurant for lunch. If the distance between Bethlem Inn and Stoby’s Restaurant is \(90\) kilometres, what is the...


What is the length of the line segment that extends from point \(a\) to point \(b\) if point \(a\) is at \((5, 4)\) and

What is the length of the line segment that extends from point \(a\) to point \(b\) if point \(a\) is at \((5, 4)\) and point \(b\) is at \((9, 8)?\)

A. \(2\)
B. \(3\)
C. \(4\)
D. \(4\sqrt{2}\)
E. \(4\sqrt{3}\)

OA D


Hoses \(P\) and \(T\) simultaneously fill an empty swimming pool that has a capacity of \(45,000\) liters. If the flow

Hoses \(P\) and \(T\) simultaneously fill an empty swimming pool that has a capacity of \(45,000\) liters. If the flow in each hose is independent of the flow in the other hose, how many hours will it take to fill the pool? 1) Hose \(P\) alone would take \(28\) hours to fill the pool 2) Hose \(T\) w...


At a certain organization, \(30\%\) of the workers who work fewer than \(8\) hours in a shift report feeling underpaid.

At a certain organization, \(30\%\) of the workers who work fewer than \(8\) hours in a shift report feeling underpaid. At the same time, \(80\%\) of the workers who work 8 or more hours in a shift report feeling underpaid. If \(50\%\) of the workers work fewer than 8 hours in a shift, what percent ...


Machine \(A\), machine \(B\), and machine \(C\), working together at their respective constant rates, can complete a

Machine \(A\), machine \(B\), and machine \(C\), working together at their respective constant rates, can complete a certain job in \(24\) hours. How many hours would it take machine A, working alone at its constant rate, to complete the same job? 1) Machines \(B\) and \(C\), working together at the...


If \(7\) workers can assemble a car in \(8\) hours, how long would it take \(12\) workers to assemble the same car?

If \(7\) workers can assemble a car in \(8\) hours, how long would it take \(12\) workers to assemble the same car?

A. \(3\) hrs
B. \(3\, 1/2\) hrs
C. \(4 \,2/3\) hrs
D. \(5\) hrs
E. \(6\, 1/3\) hrs

OA C


Jamal received a financial aid package of \(\$8000\) that consisted of loans and grants. If one-fourth of the loan money

Jamal received a financial aid package of \(\$8000\) that consisted of loans and grants. If one-fourth of the loan money and three-fifths of the grant money were designated for personal living expenses, which amounted to \(\$2875\), how much money did Jamal receive in loans? A. \(6000\) B. \(5500\) ...