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What is the number of \(360\)-degree rotations that a bicycle wheel made while rolling \(150\) meters in a straight line

What is the number of \(360\)-degree rotations that a bicycle wheel made while rolling \(150\) meters in a straight line without slipping?

1) It took \(3\) minutes for the bicycle wheel to travel the entire distance

2) The wheel made twenty \(360\)-degree rotations per minute

The OA is C


Sam covers a total distance of \(80\text{ km}\) while travelling from a certain point \(X\) to a certain point \(Y\) and

Sam covers a total distance of \(80\text{ km}\) while travelling from a certain point \(X\) to a certain point \(Y\) and come back again to the start point \(X.\) He covers the first \(40 \text{ km}\) distance from point \(X\) to point \(Y\) at a speed of \(25 \text{km/hr}.\) While travelling back t...


Racing Car \(A\) and Racing Car \(B\) were driven a distance of \(1\) mile in opposite directions. Racing Car \(A\)

Racing Car \(A\) and Racing Car \(B\) were driven a distance of \(1\) mile in opposite directions. Racing Car \(A\) started at the finish line for Racing Car \(B\) and Racing Car \(B\) started at the finish line for Racing Car \(A.\) Which car had the faster average speed? 1. Racing Car \(B\)'s driv...


Yan is somewhere between his home and the stadium. To get to the stadium he can walk directly to the stadium, or else he

Yan is somewhere between his home and the stadium. To get to the stadium he can walk directly to the stadium, or else he can walk home and then ride his bicycle to the stadium. He rides \(7\) times as fast as he walks, and both choices require the same amount of time. What is the ratio of Yan’s dist...


Did the population of country \(P\) increase by more than \(25\%\) from \(2000\) to \(2005?\)

Did the population of country \(P\) increase by more than \(25\%\) from \(2000\) to \(2005?\) 1. From \(2000\) to \(2002,\) the population of country \(P\) increased by \(10\%\) and from \(2002\) to \(2005,\) the population of country \(P\) increased by \(14\%\) 2. The population of country \(P\) in...


On a certain map of India the actual distance of \(1450\,\text{km}\) between two cities Delhi and Kolkata is shown as

On a certain map of India the actual distance of \(1450\,\text{km}\) between two cities Delhi and Kolkata is shown as \(5\,\text{cm}.\) What scale is used to draw the map?

A. \(1:15*16^6\)
B. \(1:20*10^6\)
C. \(1:25*10^6\)
D. \(1:29*10^6\)
E. \(1:31*10^6\)

The OA is D


The graph to the right shows the number of music CDs sold at various prices. At what price should the CDs be marked to

2019-04-17_1048.png
The graph to the right shows the number of music CDs sold at various prices. At what price should the CDs be marked to sell the maximum number of CDs?

A. \(0\)
B. \(5\)
C. \(10\)
D. \(15\)
E. \(20\)

The OA is C


What is the slope of line \(l\) that does not pass through the origin?

What is the slope of the line \(l\) that does not pass through the origin?

1. The \(y\)-intercept of line \(l\) is half its \(x\)-intercept
2. The \(y\)-intercept of line \(l\) is three units less than its \(x\)-intercept

The OA is A


Which of the following points are on the graphs of both the equation \(y=x+2\) and the equation \(y=x^2\) in the \(xy\)

Which of the following points are on the graphs of both the equation \(y=x+2\) and the equation \(y=x^2\) in the \(xy\)-plane?

I. \((-1, 1)\)
II. \((0, 0)\)
III. \((2, 4)\)

A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III

The OA is D


The hold of a fishing boat contains only cod, haddock, and halibut. If a fish is selected at random from the hold, what

The hold of a fishing boat contains only cod, haddock, and halibut. If a fish is selected at random from the hold, what is the probability that it will be a halibut or a haddock? 1. There are twice as many halibut as cod in the hold, and twice as many haddock as halibut 2. Cod account for \(1/7\) of...


A card is picked at random from a pack of \(52\) playing cards. Given that the picked card is a card of clubs, what is

A card is picked at random from a pack of \(52\) playing cards. Given that the picked card is a card of clubs, what is the probability of this card not being a picture card?

A. \(3/52\)
B. \(3/13\)
C. \(1/3\)
D. \(8/13\)
E. \(10/13\)

The OA is E


A certain experiment has three possible outcomes. The outcomes are mutually exclusive and have probabilities \(x, y,\)

A certain experiment has three possible outcomes. The outcomes are mutually exclusive and have probabilities \(x, y,\) and \(z,\) respectively. What is the value of \(x?\)

1. The ratio \(x{:}y{:}z=4{:}2{:}1\)

2. \(x^2+xy+xz-x-y-z=-3/7\)

The OA is D


As the figure below shows, line \(AE\) bisects \(\angle{A},\) line \(BE\) bisects \(\angle{B},\) line \(CG\) bisects

As the figure below shows, line \(AE\) bisects \(\angle{A},\) line \(BE\) bisects \(\angle{B},\) line \(CG\) bisects \(\angle{C},\) and line \(DG\) bisects \(\angle{D}.\) What kind of quadrilateral is \(EFGH?\) 2.7PS.png A. Rhombus with acute inner angles B. Square C. Parallelogram with acute inner ...