Practice Exams ChE - 24

1. A series of equal quarterly receipts of P1000 extends over a period of 5 yrs. What is the present worth of this quarterly payment series at i=8%, compounded continuously?
a. 16,351
b. 15,971
c. 6,320
d. 15,345
e. none of the above

2. Lines drawn from the focus to any point of an ellipse are called the focal radii of the ellipse. Find the equation of the focal radii drawn to the point (2,3) one the ellipse 3x^2 + 4y^2 = 48.
a. 3x – 4y = 6
b. x - 4y = -8
c. 4 - 4y = -10
d. 3x - 3x = -3
e. 3x - 4y = -6

3. Is the graphical visualization of the moment equation plotted on M-x axis
a. Maxwell diagram
b. Force-body diagram
c. Shear diagram
d. Moment diagram
e. none of the above

4. A housewife bought a brand new washing machine costing P12,000 if paid in cash. However, she can purchase it on installment basis to be paid within 5 years. If money is worth 8% compounded annually, what is her yearly amortization if all payment are to be made at the beginning of each year?
a. 2782.55
b. 2400.00
c. 2872.58
d. 2827.55
e. none of the above

5. The curve represented by the equation r = 6 is
a. a circle
b. parabola
c. ellipse
d. line
e. none of the above

6. If the 1st and 4th terms of a harmonic progression are 1/3 and 1/9, respectively, find the 8th term.
a. 1/17
b. 1/11
c. 1/14
d. 1/13
e. 1/19

7. A 0.3 kg mass attached to a 1.5 m long string is whirled around a horizontal circle at a speed of 6 m/s. Considering a centripetal acceleration, what is the tension in the string?
a. 7.2 N
b. 720 N
c. 24 N
d. 240 N
e. none of the above

8. To raise money for your business, you need to borrow P20,000 from a local bank. If the bank asks you to repay the loan in 5 equal annual installments of P5548.19, determine the banks annual interest rate on this loan transaction.
a. 11 %
b. 12 %
c. 4.5 %
d. 27.74%
e. none of the above

9. A cast iron column supports an axial compressive load of 250 kN. Determine the inside diameter of the column if its outside diameter is 200 mm and the limiting compressive stress is 50 Mpa.
a. 150 mm
b. 183.4 mm
c. 253.34 mm
d. 143.2 mm
e. none of the above

10. Super Ferry allowed A kg of baggage for free with additional charge for baggage in excess of the limit. The combined weight of the baggages of passengers on one particular trip was 105 kg. One passenger paid P100 extra while the other paid P150 extra. A 3rd passenger in the same trip has 105 kg baggage and was charged P650 extra. Find A in kg.
a. 40
b. 60
c. 50
d. 70
e. none of the above