Search found 2244 matches


Initially, how many black chips are in a box containing only red chips and black chips, all identical except for color?

Initially, how many black chips are in a box containing only red chips and black chips, all identical except for color? 1) Initially, the ratio of red chips to black chips in the box is \(3/25\) 2) If \(12\) red chips and \(80\) black chips are removed from the box, the probability of randomly drawi...


Two students \(A\) and \(B\) participate in Physics and Chemistry exams. Each exam subject has \(6\) different exam code

Two students \(A\) and \(B\) participate in Physics and Chemistry exams. Each exam subject has \(6\) different exam codes and two exam subjects have their own different exam codes. In each exam subject, each student receives a random exam code. What is the probability that \(A\) and \(B\) receive th...


Steve traveled the first \(2\) hours of his journey at \(40\,\text{mph}\) and the last \(3\) hours of his journey at

Steve traveled the first \(2\) hours of his journey at \(40\,\text{mph}\) and the last \(3\) hours of his journey at \(80\,\text{mph}.\) What is his average speed of travel for the entire journey? A. \(53.33\,\text{mph}\) B. \(56.67\,\text{mph}\) C. \(60\,\text{mph}\) D. \(64\,\text{mph}\) E. \(66.6...


In a car race between \(A\) and \(B\) over a distance of \(60\) miles, \(B\) gives an hour lead to \(A.\) If \(A\)

In a car race between \(A\) and \(B\) over a distance of \(60\) miles, \(B\) gives an hour lead to \(A.\) If \(A\) finishes the race in \(4\) hours assuming both \(A\) and \(B\) travel at a constant speed, how much time does \(B\) take? 1. \(B\) crosses \(A\) in exactly one hour 2. \(B\) finishes th...


Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of \(2.5\) meters per second

Tom and Jerry are running on the same road towards each other. If Tom is running at a speed of \(2.5\) meters per second and Jerry is running \(36\%\) slower, how much time will it take them to meet if the initial distance between the two is \(50\) meters and Tom started running \(20\) seconds befor...


Of a set of \(25\) consecutive integers beginning with \(4,\) what is the probability that a number selected at random

Of a set of \(25\) consecutive integers beginning with \(4,\) what is the probability that a number selected at random will be divisible by \(3?\)

A. \(13/25\)
B. \(9/25\)
C. \(8/25\)
D. \(6/25\)
E. \(3/8\)

OA C


A sales clerk in an electronics store earns commission on total weekly sales. What amount, in dollars, did the sales

A sales clerk in an electronics store earns commission on total weekly sales. What amount, in dollars, did the sales clerk earn as commission on last week's total sales? 1. The electronics store pays sales personnel a commission rate of \(2\) percent on total weekly sales 2. The amount of the sales ...


An experiment has five possible outcomes. The outcomes are mutually exclusive and have probabilities \(x, \dfrac{x}{2}\)

An experiment has five possible outcomes. The outcomes are mutually exclusive and have probabilities \(x, \dfrac{x}{2}, \dfrac{x}{3}, \dfrac{x}{4},\) and \(\dfrac{x}{6}.\) What is the value of \(x?\)

A. \(1/9\)
B. \(2/9\)
C. \(1/3\)
D. \(4/9\)
E. \(5/9\)

OA D


A total of \(\$100,000\) was invested in one year. A part of this amount earned a simple annual interest at the rate of

A total of \(\$100,000\) was invested in one year. A part of this amount earned a simple annual interest at the rate of \(x\) percent, and the rest earned a simple annual interest at the rate of \(y\) percent. If the total interest earned by the \(\$100,000\) in one year was \(\$2,600,\) what is the...


The ratio of Milk to Water in Solution \(1\) is \(4{:}1\) and ratio of Milk to Water in Solution \(2\) is \(3{:}1.\)

The ratio of Milk to Water in Solution \(1\) is \(4{:}1\) and ratio of Milk to Water in Solution \(2\) is \(3{:}1.\) Both, solution \(1\) and \(2\) were mixed such that ratio of Milk to Water is \(77{:}23.\) Find the ratio in which two solutions were mixed? A. \(2{:}3\) B. \(6{:}2\) C. \(3{:}4\) D. ...


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) The diameter of the bicycle wheel, including the tire, was \(0.7\) meter

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

OA A


On a certain map, Washington, D.C., and Montreal are \(4\) inches apart. If Washington, D.C., and Montreal are actually

On a certain map, Washington, D.C., and Montreal are \(4\) inches apart. If Washington, D.C., and Montreal are actually \(500\) miles apart, and if the map is drawn to scale, then \(1\) inch represents how many miles on the map?

A. \(125\)
B. \(150\)
C. \(250\)
D. \(375\)
E. \(500\)

OA A


Cyclist \(A\) leaves point \(X\) at \(12\) noon and travels at constant velocity in a straight path. Cyclist \(B\)

Cyclist \(A\) leaves point \(X\) at \(12\) noon and travels at constant velocity in a straight path. Cyclist \(B\) leaves point \(X\) at \(2\, \text{p.m.}\) travels the same path at a constant velocity, and overtakes cyclist \(A\) at \(4\,\text{p.m.}\) At what speed was cyclist \(B\) traveling? 1) C...


In the sum above, if \(X\) and \(Y\) each denote one of the digits from \(0\) to \(9\), inclusive, then \(X=\)

\(\begin{array}{c} YX7 \\ +6Y \\ \hline Y7X \end{array}\)

In the sum above, if \(X\) and \(Y\) each denote one of the digits from \(0\) to \(9\), inclusive, then \(X=\)

A. \(9\)
B. \(5\)
C. \(3\)
D. \(1\)
E. \(0\)

OA E


The ratio of water to alcohol in a \(14\) cup container is \(2{:}5\). Determine the new volume of the liquid in the

The ratio of water to alcohol in a \(14\) cup container is \(2{:}5\). Determine the new volume of the liquid in the container.

1. Water is increased by \(14\%\)

2. Mixture whose ratio of water to alcohol is \(4{:}5\) is added to that in the container

OA A