### Practice Exams ChE - 19

1. In a group of 40 executives 27 prefer to drink San Miguel beer while 25 Beer na Beer. How many prefer to drink both?

a. 10

b. 11

c. 12

d. 13

e. none of the above

2. In how many ways can a committee of three consisting of two Chemical Engineers and one Mechanical Engineer can be formed from four Chemical Engineers and 3 Mechanical Engineers?

a. 18

b. 32

c. 64

d. none of the above

3. He is the scientist that introduced a constant of proportionality in 1807 commonly known as modulus of elasticity.

a. Thomas Jefferson

b. Thomas Young

c. Albert Einstein

d. Ferdinand Singer

e. none of the above

4. Which of the following statements is incorrect?

a. If two investors are considering the same project, the payback period will be longer for the investor with the higher MARR.

b. If you were to consider the cost of funds in payback period calculation, you would have to wait longer as you increase the interest rate.

c. Considering the cost of funds in a payback calculation is equivalent to finding the time period when the project balance becomes zero.

d. The simplicity of the payback period methods is one of its most appealing qualities even though it fails to measure project profitability.

e. none of the above

5. If the moment of inertia of a circle is 500 m^4, its are is nearest to:

a. 74 sqm

b. 80 sqm

c. 76 sqm

d. 78 sqm

e. 98 sqm

6. How many signals each consisting of 6 flags hang in a vertical line can be formed from 4 identical red flags and 2 identical blue flags?

a. 5

b. 10

c. 15

d. 20

e. none of the above

7. What part of 90% alcohol must be removed and replaced by an equal amount of pure alcohol to make a 95% alcohol solution?

a. 5% or less

b. 5%

c. between 5% and 10%

d. 50%

e. none of the above

8. Water is pouring into a conical vessel 15 cm deep and having a radius of 3.75 cm across the top. If the rate at which the water rises is 2 cm/s, how fast is the water flowing into the conical vessel when the water is 4 cm deep?

a. 4.57 cu. m/s

b. 6.28 cu. m/s

c. 2.37 cu. m/s

d. 5.73 cu. m/s

9. A hot air balloon rising straight up from a level field is tracked by a range finder 5000 ft from the point of lift off. At the moment, the range finder’s elevation angle is 45 ?. The angle is increasing at a rate of 0.14 rad/min. How fast is the balloon rising?

a. 120 ft/min

b. 160 ft/min

c. 130 ft/min

d. 140 ft/min

e. none of the above

10. It is the surface generated by moving a straight line (called generator) which is always parallel to a fixed line and which always intersect at a fixed plane curve is:

a. cylindrical surface

b. paraboloid

c. locus of a point

d. spherical surface

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