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MECHANICAL ENGINEERINGPROBLEMSENGR. VIRNE B. DALISAY

Mobile # 0928-7199790

MATHEMATICSNAME:________________________________________________________________

_________DATE:____________

INSTRUCTION: Encircle the letter that corresponds to the correct answer of yourchoice.

MULTIPLE CHOICE:

1. Water is flowing into a vertical tank at the rate of 24 ft3/min. If the radius of the tank is4 ft, how fast is the surface rising?

A. 0.187 fpm B. 0.287 fpm C. 0.347 fpm D. 0.477 fpm2. A rectangle whose sides are equal:

A. parallelogram B. triangle C. square D. polygon3. A solid having many faces.

A. polygon B. polyhedron C. apothem D. height4. 1+tan2 is equal to:

A. tan2 B.csc2 C. sec2 D. cos2 5. Solve the differential equation: dy/dx = 5x/7y

A. y

2

= 5/7x + C B. y

2

= 5/7x

2

+ C C. y

2

= 7/5x + CD. y2 = 7/5x2 + C6. The length of a rectangular garden is 3.5 m more than twice its width. If 14 m offencing material is needed to enclose the garden, what is the width of the garden?

A. 1.0m B. 1.05m C. 1.11m D. 1.20m7. What is the acceleration of the body that increases in velocity from 100 m/s to 80 m/sin 8 sec?

A. 2.5 B. 8 C. 4 D. 3.1258. A piece of wire is 10 in. long. The wire is cut into two pieces and then each piece isbent into a square. Find the length of the longer piece if the sum of the areas of thesetwo squares is to be 3.5 in2.

A. 8 B. 7 C. 5 D. 49. What is the number which exceeds its cube by the greatest amount? A. 0.333 B. 0.5 C. 0.577 D. 0.707

10. It takes 1 hours for Dennis to mow the lawn. Densoy can mow the same lawn in 2hours. How long will it take Dennis and Densoy, work together to mow the lawn?

A. 53 min B. 51.5 min C. 51 min D. 50 min11. It takes 6 hours for pump A, used alone, to fill a tank of water. Pump B used alonetakes 8 hours to fill the same tank. We want to use three pumps: A, B and another

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pump C to fill the tank in 2 hours. What should be the rate of pump C? A. 0.109B. 0.208 C. 0.308 D. 0.328

12. An asset is purchased for P10000. Its estimated life is 10 years, after which it will besold for P3000. Find the book value during the 4 th year if the sum-of-the-years digitdepreciation is used.

A. P6100 B. P4300 C. P5345 D. P550013. An air preheater installation will cost P 15,500. Its life is assumed to 10 years.Salvage value is nothing annual maintenance and repair is estimated to average P1150.00. Use compound interest at 18% and what is the annual cost of the preheater.

A. P4598 B. P2790 C. P2162 D. P220014. Find the equation of a circle whose center is at the point (8 , -24) and its diameterhas a length of 15.

A. (x + 2)2 + (y 6)2 = 225 B. (x - 2)2 + (y + 6)2 = 225 C. (x + 2)2 (y 6)2 = 22515. Find the points of intersection of the circle with equation (x-2)2 + (y-6)2 = 40, andthe line with equation y = 3x.

A. (0,0) & (-4,12) B. (0,0) & (4,12) C. (0,0) & (4,-12)D. (0,2) & (4,12)

There are no secrets to success. It is the result of preparation, hard work learning from failure. ~ General Colin Powell