### Practice Exams ChE - 23

1. What is the area of a rhombus whose diagonals are 10 cm and 16 cm respectively?

a. 160 sq cm

b. 80 sq cm

c. 100 sq cm

d. 120 sq cm

e. none of the above

2. In two years, Ara will be as old as Rico is now. In 26 years, Rico will be twice as old as Ara is now. How old is Ara now?

a. 27

b. 28

c. 29

d. 30

e. 40

3. (x^2 + 3y)dx – xdy = 0 is

a. linear in x

b. non-linear in y

c. linear in y

d. variable separable

e. none of the above

4. A sequence of numbers where every term is obtained by adding all the preceding terms such as 1, 5, 14 and 30 is called

a. Triangular number

b. Euler’s number

c. Pyramidal number

d. Tetrahedral number

e. none of the above

5. It is caused by forces acting along or parallel to the area resisting the forces.

a. shearing stress

b. bearing stress

c. tensile stress

d. bending stress

e. none of the above

6. What is the future worth of an equal quarterly payment series of P2,500 for 10 years if the interest rate is 9% compounded monthly?

a. F=P158,653

b. F=P154,718

c. F=P151,930

d. F=P160,058

e. none of the above

7. A kite at a height of 60 ft is moving horizontally at a rate of 5 ft/s away from a boy who flies it. How fast is the cord being released when 100 ft are out?

a. 6 ft/s

b. 8 ft/s

c. 2 ft/s

d. 4 ft/s

e. none of the above

8. Find the total water pressure on a vertical circular gate 2.0 m in diameter, with its top 3.5 meters below the water surface.

a. 169.5 kN

b. 107.9 kN

c. 138.7 kN

d. 186.5 kN

e. none of the above

9. Find the area of a circle whose equation is: x^2 + y^2 + 4x + 6y – 23 = 0.

a. 36 pi

b. 30 pi

c. 40 pi

d. 45 pi

e. none of the above

10. A car dries off a horizontal embankment and land 11 m from the edge of the embankment in a field that is 3 m lower than the embankment. With what speed was the car traveling when it left the embankment?

a. 15 m/s

b. 14.1 m/s

c. 14.1 m/s

d. 13.99 m/s

e. none of the above

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