### Practice Exams ChE - 25

1. The cost of a product is a function of the quantity x of the product is given by the relation C(x) = x^2 - 40000x + 50. Find the quantity for which the cost is minimum.

a. 1000

b. 2000

c. 15000

d. 3000

e. none of the above

2. When all odd numbers from 1 to 101 is added, what will be the sum?

a. 2500

b. 2601

c. 2510

d. 5601

e. none of the above

3. If y = x/2 + [sin(2x)]/4; find x for which dy/dx = 0.

a. Pi/4

b. Pi/2

c. Pi/3

d. Pi/6

e. Pi/12

4. Which of the following is not factorable?

a. 2m^2 + mn + 3n^2

b. –x^2 – x + 12

c. s^12 – 1

d. t^2 + 25

e. none of the above

5. A tank contains 100 gal water. A salt solution containing 2 lb salt per gal flows in at a rate of 3 gpm and well-stirred tank flows out at the same rate. The concentration of the solution inside the tank after 1 hr is

a. 11 lb/gal

b. 1.18 lb/gal

c. 1.18 lb

d. 1.8 lb/gal

e. none of the above

6. 75 students went to SM West where they could watch 3 films (A, B, & C). 20 of them watched all 3 films. 55 of them watched at least 2 films. Because it was QC day, each film cost only P5.00 per head. If the total receipt was P700, how many students did not watch any movie?

a. 9

b. 11

c. 10

d. 12

e. none of the above

7. What is the value of x for which y = 2x^3 – 3x^2 – 36x +25 will have an inflection point?

a. 1/3

b. ¼

c. ½

d. 1/5

e. 2/3

8. A steel rod is stretched between 2 rigid walls and carries a tensile load of 5000 N at 20 degC. What T will the stress be zero? The cross-sectional area is 150 mm2.

a. 34.2 degC

b. 45.5 degC

c. 30.0 degC

d. 42.9 degC

e. none of the above

9. The locus of a point that move so that its distance from fixed point and fixed line is always equal is known as:

a. parabola

b. hyperbola

c. ellipse

d. circle

10. The area of a triangle are formed by points A(4,-3), B(7,4), C(-3,6) is

a. 28 sq units

b. 38 sq units

c. 48 sq units

d. 58 sq units

e. none of the above

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