Evaluation Exam 1 brain

Question 1

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Answer 1

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Question 2

At exactly what time after 5 o’clock will the hour hand and the minute hand be perpendicular for the first time?

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Question 3

A laboratory keeps two acid solutions on hand. One is 20% acid and the other is 35% acid. How many liters of distilled water should be added to a liter of 35% acid solution in order to dilute it to a 20% acid solution?

Answer 3

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Question 4

A group consists of n engineers and n nurses. If two of the engineers are replaced by two other nurses, then 51% of the group members will be nurses. Find the value of n.

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Question 5

Joseph gave 1/4 of his candies to Joy and Joy gave 1/5 of what she got to Tim. If Tim received two candies , how many candies did Joseph have originally?

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Question 6

z varies directly as x and inversely as y2. If x = 1 and y = 2 then z = 2. Find z when x = 3 and y = 4.

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Question 7

How many positive real roots are there in the polynomial: x⁴ - 4x³ + 7x² - 6x - 18 = 0.

Answer 7

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Question 8

Which of the following is not multiple of 11?

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Question 9

Justin weighed 8 lbs 12 oz when he was born. At his two-week check-up, he had gained 8 ounces. What was his weight in pounds and ounces?

Answer 9

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Question 10

If f(x) = 10^x + 1, then f (x + 1) - f(x) is equal to

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Question 11

What are the values of n if (2n - 6) is greater than 1 but less than 14?

Answer 11

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Question 12

If the polynomial x³ + 4x² - 3x + 8 is divided by x - 5, determine the remainder.

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Question 13

Marsha is 10 years older than John, who is 16 years old. How old is Marsha?

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Question 14

A four-pound mixture of raisins and nuts is 2/3 raisins. How many pounds of nuts are there?

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Question 15

A boat can travel 10 miles downstream and at the same time can travel 6 miles upstream. If the current of water is 3mph, find the speed of a boat in still water.

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Question 16

What time after one o’ clock will the hands of the clock coincide for the first time?

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Question 17

Binoy, Boboy and Bata are hired to paint signs. In 8 hours Binoy can paint 1 sign, Boboy can paint 2 signs, and Bata can paint 1 1/3 signs., They all come to work the first day, but Bata doesn’t like the job and quits after 3 hours. Boboy works half an hour longer than Bata and quits. How long will it take Binoy to finish the two signs they were supposed to paint?

Answer 17

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Question 18

A contractor has 50 men of the same capacity at work on a job in 30 days, the working day being 8 hours, but the contract expires in 20 days, how many workers should he add?

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Question 19

A student already finished 70% of his homework in 42 minutes. How many minutes does he still have to work?

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Question 20

Find the sum of all odd integers between 100 and 1000

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Question 21

In a pile of logs, each layer contains one more log than the layer above and the top contains just one log if there are 105 logs in the pile, how many layers are there?

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Question 22

Evaluate 1 - 2/3 + 4/9 - 8/27 + 16/81 - 32/243 + …

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Question 23

A ball is dropped from a height of 18 m. On each rebound it rises 2/3 of the height from which it last fell. What distance has it traveled at the instant it strikes the ground for the 5th time?

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Question 24

Jeff burns 500 calories per hour bicycling. How long will he have to bike to burn 750 calories?

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Question 25

The drivers at F and M trucking must report the mileage on their vehicle each week. The mileage reading of Ed’s vehicle was 20, 907 at the beginning of one week, 21,053 at the end of the same week . What is the total number of miles driven by Ed that week?

Answer 25

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Question 26

The sum of the first 10 terms of geometric progression 2, 4, 8, . . .

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Question 27

The areas of two squares differ by 7 sq. ft and their perimeters differ by 4 ft. Determine the sum of their areas.

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Question 28

Find the value of x in the equation 24x^2 + 5x - 1 = 0.

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Question 29

Divide 1/8 by 8.

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Question 30

Solve for x in the equation, 7.4 x 10^-4 = e^-9.7x

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Question 31

How many ancestors does a set of triplets have in the eleven generation before them? Assume there are no duplicates.

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Question 32

Mrs. Farrell’ s class has 26 students. Only 21 were present on Monday. How many were absent?

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Question 33

42% of 997 =

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Question 34

The tangent of an angle of a right triangle is 0.75. What is the cosecant of the angle?

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Question 35

The dimensions of a rectangular prism can be expressed as x + 1, x - 2 and x + 4. In terms of x, what is the volume of the prism?

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Question 36

Suppose two radar stations located 20 miles apart each detect an aircraft between them. The angle of elevation measured by the first station is 35 degrees, whereas the angle of elevation measured by the second station is 15 degrees. Determine the height of the airplane.

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Question 37

Susan starts working at 4:00 an Dy starts at 5:00. They finished at the same time. If Susan worked x hours, how many hours did Dy worked?

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Question 38

Melissa is four times as old as Jim. Pat is five years older than Melissa. If Jim is y years old, how old is Pat?

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Question 39

Find the sum of the first five terms of the geometric progression if the third term is 144 and the sixth term is 486.

Answer 39

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Question 40

Four is added to the quantity two minus the sum of negative seven and six. This answer is then multiplied by three. What is the result?

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Question 41

In the vicinity of a bonfire, the temperature T in deg C at distance of x meters from the center of the fire was given by: T = 762, 500 / (x^2 + 300). At what range of distances from the fire’s center was the temperature less than 500 deg C?

Answer 41

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Question 42

Three circles of radii 3, 4, and 5 inches, respectively are tangent to each other externally. Find the largest angle of a triangle formed by joining the centers.

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Question 43

Find the angle in mils subtended by a line 10 yards long at a distance of 5000 yards.

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Question 44

Evaluate arc cot [2cos (arc sin 0.5)]

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Question 45

Larry finds the angle of elevation of the top of a tower to be 30 degrees. He walks 85 m nearer the tower and finds its angle of elevation to be 60 degrees. What is the height of the tower?

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Question 46

The plane rectangular coordinate system is divided into eight parts which are known as

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Question 47

A line segment is a side of a square and also the hypotenuse of an isosceles right triangle. What is the ratio of the area of the square to the area of the triangle?

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Question 48

The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find the width of the rectangle.

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Question 49

What is the value of x in Arctan 3x + Arctan 2x = 45 degrees?

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Question 50

A container is in the form of a right circular cylinder with an altitude of 6 in and a radius of 2 in. If an asbestos of 1 in thick is inserted inside the container along its lateral surface, find the volume capacity of the container.

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Question 51

Emilio is 1 year 7 months old and Brooke is 2 years 8 months old. How much older is Brooke than Emilio?

Answer 51

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