8/3/2019 MEP # 5

http://slidepdf.com/reader/full/mep-5 1/2

MECHANICAL ENGINEERINGPROBLEMSENGR. VIRNE B. DALISAY

Mobile # 0928-7199790

MATHEMATICSNAME:________________________________________________________________ 

 _________DATE:____________ 

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

MULTIPLE CHOICE:

1. A spherical balloon is being inflated at the rate of 30 ft3/min. At the instant when theradius is 15 ft, at what rate is the surface area increasing?

  A. 2 B. 3 C. 4 D. 52. A river bank is 500 ft wide and it is spans by a bridge of the length X. If the east sidemeasures 1/3 of the length and 1/5 of the length on the west, find the length of thebridge?

  A. 256.3 m B. 326.5 m C. 1056 ft D. 840 ft3. 1-cos2Ø is equal to?

 A. csc2Ø B. sin2Ø C. sec2Ø D. cos2Ø4. How many significant digits do the 12 x 103?

  A. 2 B.3 C. 4 D. 55. What is the acceleration of the body that increases in velocity from 50 m/s to 25 m/sin 4 sec?

 A. 21 ft/s2 B. 15 ft/s2 C. -21 ft/s2 D. 13 ft/s2 6. An airplane accelerates down a runway at 5.0 m/s2 for 20 sec until is finally lifts off the ground. Determine the distance traveled before takeoff.

  A. 3281 ft B. 2318 ft C. 8321 ft D. 2381 ft7. Solve the differential equation: dz/dy = 3y/9z?

 A. y2 = z2/3 + C B. y2 = 2/3z2 + C C. y2 = 3/z2 + CD. y2 = 3/2z2 + C

8. A piece of wire is 15 in. long. The wire is cut into two pieces and then each piece is

bent into a square. Find the length of the longer piece if the sum of the areas of thesetwo squares is to be 2.11 in2.  A. 5.5 B. 7.5 C. 8.5 D. 10.5

9. The effective rate of 18% compounded semi-annually is.  A. 14.15% B. 17.21% C. 18.71% D. 18.81%

10. A father invests P15,000 now for the college education of his 3 year old son. If thefund earns 10% effective, how much will the son get each year starting from his 17th to25th birthday?

8/3/2019 MEP # 5

http://slidepdf.com/reader/full/mep-5 2/2

A. P8,798 B. P8,978 C. P8,500 D. P20,00011. If P500,000 is deposited at a rate of 11.25% compounded monthly, determine thecompounded interest after 7 years and 9 months.

 A. P690,500 B. P670,500 C. P660,500 D. P640,50012. An asset is purchased for P9000. Its estimated life is 12 years, after which it will be

sold for P1000. Find the book value during the 4

th

year if the sum-of-the-years digitdepreciation is used.  A. P6100 B. P4300 C. P5072 D. P4690

13. The height y and the distance x along the horizontal plane of a projectile on acertain planet (assume no surrounding air) are given by y = (8t-3t2) meter and x = 3tmeter, t = sec. With what velocity the projectile is projected?

  A. 6 m/s B. 5 m/s C. 4 m/s D. 3 m/s14. Find the equation of a circle whose center is at the point (4 , -8) and its diameter hasa length of 12.

 A. (x + 1)2 + (y ± 2)2 = 36 B. (x + 1)2 + (y -2)2 = 18 C. (x - 1)2 +(y + 2)2 = 9

15. Find the center and the radius of the circle whose equation is given by x

2

+ 4x + y

2

-10y = 8. A. c = (2, 5), r = 4 B. c = (2, 5), r = 4 C. c = (-2, 5), r = 8 D. c = (2, -5), r = 8

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