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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 your choice.

MULTIPLE CHOICE:

1. What is the minimum diameter of a solid steel shaft that will not twist through more than 3in a 6-m length when subjected to a torque of 12 kNm? Use G = 83 GPa.

A. 110mm B. 114mm C. 200mm D. 212mm2. A swimming pool can be filled by pipe A in 3 hours and by pipe B in 6 hours, each pumpworking on its own. At 7 am pump A is started. At what time will the swimming pool be filled ifpump B is started at 8 am?

A. 10:20AM B. 9:20AM C. 8:20AM D. 7:20AM3. SW Silver is 92.5% pure silver. How many grams of SW Silver must be mixed to a 90%Silver alloy to obtain a 500g of a 91% Silver alloy?

A. 150g B. 175g C. 200g D215g

4. How many kg of Pure water is to be added to 100 Kilograms of a 30% saline solution tomake it a 10% saline solution? A. 150kg B.175kg C. 200kg

215kg5. A 50 ml shampoo at 30% oil is mixed with 30 ml of pure water. What is the percentage of oilin the new solution?

A. 12.75% B. 15.75% C. 16.75% D. 18.75%

6. fis a linear function. Values ofx and f(x) are given {x=-3, f(x)=17}; {x=4, f(x)=-18}.What is the value of f(x) if x = 7?

A. -33 B. 33 C. -37 D. 377. The formula h (t) = -16 t 2 + 32 t + 80 gives the height h above ground, in feet, of an object

thrown, at(t) = 0, straight upward from the top of an 80 feet building. What is the highest pointreached by the object?

A. 81ft B. 91ft C. 96ft D. 98ft8. A rock is dropped into a well and the distance travelled is 16 t 2 feet, where t is the time. Ifthe water splash is heard 3 seconds after the rock was dropped, and that the speed of soundis 1100 ft / sec, approximate the height of the well.

A. 133ft B. 127ft C. 120ft D119ft

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9. A 50-meter by 70-meter rectangular garden is surrounded by a walkway of constant width xmeters. Find the outside perimeter of the garden if x = 2m.

A. 250m B. 256m C. 276m D300m10. Find x so that the distance between the points (-2, -3) and (-3, x) is equal to 5.

A. -3+ B. -2+ C. 3+ D. 2+11. A number decreased from 80 to 50. By what percent of its original value has this numberdecreased?

A. 37.5% B. 47.5% C. 57.5% D. 67.5%12. A number increased from 120 to 150. By what percent, of its original value, did this numberincrease?

A. 21% B. 23% C. 23% 25%13. A stone is dropped into a deep well and is heard to hit the water 3.41 s after beingdropped. Determine the depth of the well.

A. -57m B. 57m C. -52.3m D. 52.3m

14. If Michael Jordan has a vertical leap of 1.29 m, what is his hang time (total time to moveupwards to the peak and then return to the ground)? A. 0.333 sec B. 0.5 sec C. 0.81 sec D. 1.333 sec

15. Convert from decimal notation to scientific notation (0.0000152)A. 1.52 x 10-2 B. 15.2 x 10-4 C. 1.52 x 10-5 D. 15.2 x 10-6

Striving for success without hard work is like trying to harvest where you havent planted. ~ David Bly