Practice Exams ChE - 20

1. A water tank is 8m in diameter and 12m high. If the tank is completely filled, determine the minimum thickness of the tank plating if the stress is limited to 40 MPa.
a. 12.5 mm
b. 13.7 mm
c. 11.8 mm
d. 14.1 mm
e. none of the above

2. Which of the following is not a unit of work?
a. Joules
b. KWatt-hr
c. Erg
d. Slug
e. none of the above

3. A debt of P5000 with 12% interest compounded semi-annually is to be amortized by equal semi-annual payments over the next 3 yrs; the first due is 6 months. What will be the semi-annual payment?
a. 1006.82
b. 1061.81
c. 1016.82
d. 1826.82
e. none of the above

4. How many diagonals does a ten-sided convex polygon have?
a. 45
b. 40
c. 35
d. 30
e. none of the above

5. It is defined as the summation of moments taken about an axis passing through the centroid of the cross-section of all loads and reactions applied to the portion of the beam on either side of the cross-section.
a. bending moment
b. shear
c. deformation
d. elongation
e. none of the above

6. The cost C of a product is a function of the quantity x of the product: C(x) = x^2 – 4000x +50 . Find the quantity for which the cost is minimum.
a. 3000
b. 1000
c. 2000
d. 1500

7. You obtained a loan of P20000 to finance the purchase of an automobile. Based on monthly compounding for 24 months, the end-of-the month equal payment was figured out to be P922.90. Immediately after making the 12th payment, you decide you want to pay off the loan in lump sum. The size of this lump sum amount is nearest to which of the following:
a. 10,498
b. 12,044
c. 11,075
d. 12,546
e. none of the above

8. The length of the sides of a triangle are 12, 15, 18. A circle tangent to the longest and shortest side has its center on the remaining side. Find the distance from the center of the circle to the midpoint of the side where the center of the circle lies.
a. 2.3
b. 1.5
c. 3.4
d. 4.6
e. none of the above

9. It is the highest ordinate on the stress-strain curve.
a. Ultimate strength
b. Yield strength
c. Rupture point
d. Proportional limit
e. none of the above

10. If you invest P2000 today in a saving account at an interest rate of 12% compounded annually, how much principal and interest would you accumulate in & years?
a. 4242
b. 2300
c. 4422
d. 1400
e. none of the above