CLASS SECTION/SCHEDULE (FRI-AM, FRI-PM, SAT-AM, SAT-PM, SUN-AM, SUN-PM)

1.

Carry out the following multiplication and express your answer in cubic meter: 8 cm x 5 mm x 2m.

A

B

C

D

2.

Find the values of x and y from the equations: x – 4y + 2 = 0 2x + y – 4 = 0

A. 11/7, -5/7 B. 14/9, 8/9 C. 4/9, 8/9 D. 3/2, 5/3

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B

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D

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10.

Paula is now 18 years old and his colleague Monica is 14 years old. How many years ago was Paula twice as old as Monica?

A. 5 B. 7 C. 8 D. 10

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B

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D

11.

A and B working together can finish painting a house in 6 days. A working alone can finish it in 5 days less than B. How long will it take each of them to finish the work alone?

A. 8, 13 B. 10, 15 C. 6, 11 D. 7, 12

A

B

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D

12.

Ten liters of 25% salt solution and 15 liters of 35% salt solution are poured into a drum originally containing 30 liters of 10% salt solution. What is the per cent concentration of salt in the mixture?

A. 19.55% B. 22.15% C. 27.05% D. 25.72%

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D

13.

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14.

An airplane flying with the wind took 2 hours to travel 1000 km and 2.5 hours in flying back. What was the wind velocity in kph?

A. 50 B. 60 C. 70 D. 40

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B

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D

15.

At what time between 8 and 9 o’clock will the minute hand coincide with the hour hand?

A. 8:42.5 B. 8:43.2 C. 8:43.6 D. 8:43.9

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B

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D

16.

What is the sum of the progression 4, 9, 14, 19 … up to the 20th term?

A. 1030 B. 1035 C. 1040 D. 1045

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B

C

D

17.

A club of 40 executives, 33 like to smoke Marlboro and 20 like to smoke Philip Morris. How many like both?

A. 10 B. 11 C. 12 D. 13

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B

C

D

18.

There are four balls of different colors. Two balls at a time are taken and arranged any way. How many such combinations are possible?

A. 36 B. 3 C. 6 D. 12

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B

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D

19.

From a box containing 6 red balls, 8 white balls, and 10 blue balls, one ball is drawn at random. Determine the probability that it is red or white.

A. 1/3 B. 7/12 C. 5/12 D. 1/4

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B

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D

20.

The sum of the interior angles of a polygon is 540°. Find the number of sides.

A. 3 B. 4 C. 5 D. 6

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B

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D

21.

What is the area in sq. cm of the circle circumscribed about an equilateral triangle with a side 10 cm long?

A. 104.7 B. 105.7 C. 106.7 D. 107.7

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B

C

D

22.

If the edge of a cube is increased by 30%, by how much is the surface area increased?

A. 30% B. 33% C. 60% D. 69%

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B

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D

23.

Each side of a cube is increased by 1%. By what percent is the volume of the cube increased?

A. 1.21% B. 2.8% C. 3.03% D. 3.5%

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24.

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25.

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26.

If sin A = 2.511x, cos A = 3.06x, and sin 2A = 3.939x, find the value of x?

A. 0.265 B. 0.256 C. 0.562 D. 0.625

A

B

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D

27.

Points A and B 1000 m apart are plotted on a straight highway running East and West. From A, the bearing of tower C is 32° W of N and from B the bearing of C is 26° N of E. Approximate the shortest distance of tower C to the highway.

A. 364 m B. 374 m C. 384 m D. 394 m

A

B

C

D

28.

The sides of a triangle are 195, 157, and 210, respectively. What is the area of the triangle?

A. 73,250 sq. units B. 10,250 sq. units C. 14,586 sq. units D. 11,260 sq. units

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B

C

D

29.

If the longitude of Tokyo is 139°E and that of Manila is 121°E, what is the time difference between Tokyo and Manila?

A. 1 hour and 12 minutes B. 1 hour and 5 minutes C. 1 hour and 8 minutes D. 1 hour and 10 minutes

A

B

C

D

30.

Find the distance between the given lines 4x -3y = 12 and 4x – 3y = -8.

A. 3 B. 4 C. 5 D. 6

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B

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D

31.

What is the slope of the line 3x + 2y + 1 = 0?

A. 3/2 B. 2/3 C. -3/2 D. -2/3

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37.

Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108 cu. inches in square inches.

A. 125.50 B. 127.50 C. 129.50 D. 123.50

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B

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D

38.

The cost C of a product is a function of the quantity x of the product: C(x) = x^2 – 4000x + 50. Find the quantity for which the cost is minimum.

A. 1000 B. 1500 C. 2000 D. 3000

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43.

What is the area bounded by the curve y^2 = x and the line x – 4 = 0?

A. 11 B. 31/3 C. 10 D. 32/3

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D

44.

Which of the following equations is an exact DE?

A. (x + x^{2}y) dy = (2x + xy^{2}) dx B. (x + y) dx – 2y dy = 0 C. 2y dx = (x^{2} + 1) dy D. y^{2} dx + (2x – 3y) dy = 0

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B

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45.

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46.

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47.

A 50g mass hands at the end of the spring. When 20 grams more are added to the end of the spring, it stretches 7 cm more. Find the spring constant.

A. 2.8 B. 2.9 C. 4.3 D. 2.5

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B

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D

48.

What momentum does a 40 lbm projectile posses if the projectile is moving at 420 mph?

A. 24,640 lbf-sec B. 16,860 lbf-sec C. 765 lbf-sec D. 523.6 lbf-sec

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B

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D

49.

A force of 200 lbf acts on a block at an angle of 28° with respect to horizontal. The block is pushed 2 feet horizontally. What is the work done by this force?

A. 320 J B. 480 J C. 540 J D. 215 J

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B

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D

50.

A 20 liter sample of gas exerts a pressure of 1 atm at 25°C. If it is expanded into a 40 liter vessel that is held at 100°C, what will be its final pressure?