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What is the minimum area of cardboard required to make a rectangular box with no top?

What is the minimum area of cardboard required to make a rectangular box with no top?

1) The area of the bottom of the box is \(23\) square feet

2) The volume of the box is \(23\) cubic feet

OA E


In the figure above, \(JKLMN\) is a regular pentagon. Find the measure of \(\angle{KQL}\)

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In the figure above, \(JKLMN\) is a regular pentagon. Find the measure of \(\angle{KQL}\)

A. \(45\)
B. \(48\)
C. \(51\)
D. \(54\)
E. \(60\)

OA D


There is a square filed of \(500\,\text{m}\) long each. It has a compound wall along its perimeter. At one of its

There is a square field of side \(500\,\text{m}\) long each. It has a compound wall along its perimeter. At one of its corners, a triangular area of the field is to be cordoned off by erecting a straight-line fence. The compound wall and the fence will form its borders. If the length of the fence is...


A comics bookstore has comics of only Superman, Batman and Flash. What percent of all comics in the store is on Batman?

A comics bookstore has comics of only Superman, Batman and Flash. What percent of all comics in the store is on Batman?

1) The ratio of the number comics of Flash, Batman, and Superman, in the library, is \(2{:}7{:}5\)
2) There are \(14\) Batman comics in the library

OA A


The number line above shows the position of a point that has coordinate \(x.\) Which of the following statements about

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The number line above shows the position of a point that has coordinate x. Which of the following statements about x must be true?

I. \(2 < x < 4\)
II. \(- x < - 3\)
III. \(0 < 2x - 3 < 1\)

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

OA A


During \(1996, 17,500\) patients were admitted to Warehall Hospital, and exactly one sixth of these patients were

During \(1996, 17,500\) patients were admitted to Warehall Hospital, and exactly one sixth of these patients were discharged within one day. Of those patients discharged within one hour, one fourth were seen by only one doctor. How many patients during \(1996\) were seen by only one doctor? 1) Of th...


If a rational number \(r\) satisfies \(0 < r < 1,\) which one is the minimum among the following choices?

If a rational number \(r\) satisfies \(0 < r < 1,\) which one is the minimum among the following choices?

A. \(r\)
B. \(-r\)
C. \(\dfrac{-1}{r}\)
D. \(-r^2\)
E. \(\dfrac{-1}{r^2}\)

OA E


The probability that \(B\) can shoot a target two out of two times is \(0.25.\) What is the probability that the target

The probability that \(B\) can shoot a target two out of two times is \(0.25.\) What is the probability that the target will be missed by \(B\) immediately after such two shots?

A. \(0.25\)
B. \(0.5\)
C. \(0.75\)
D. \(0.4\)
E. \(0.8\)

OA B


From a group of \(6\) boys and \(6\) girls a volleyball team of \(6\) players is to be selected. What is the probability

From a group of \(6\) boys and \(6\) girls a volleyball team of \(6\) players is to be selected. What is the probability that the team consists of \(4\) boys and \(2\) girls?

A. \(\dfrac{5}{33}\)
B. \(\dfrac{225}{308}\)
C. \(\dfrac{5}{22}\)
D. \(\dfrac{225}{311}\)
E. \(\dfrac{75}{308}\)

OA E


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...