QUIZ BOWL- Questions and Solutions PDF

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EASY n the equation �� 2 − ���� + 9 = 0,find k if the roots are equal A. ± B. ± C. ± D. ± Solution: �� 2 − 4 ���� = 0 �� 2 − 4(1)(9) = 0 �� =± The volume of a tetrachloride having a mass of 1220 kg is 0 �� 3. Compute the specific gravity. A. 0 B. 2. C. 1 D. 1. Solution: Weight = mg Weight = 1220(9) ...

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EASY

1. n the equation 𝑥 2 − 𝑘𝑥 + 9 = 0,find k if the roots are equal A. ±6 B. ±9 C. ±8 D. ±2 Solution:

𝐵2 − 4𝐴𝐶 = 0 𝑘 2 − 4(1)(9) = 0 𝑘 = ±6

2. The volume of a tetrachloride having a mass of 1220 kg is 0.96 𝑚3 . Compute the specific gravity. A. 0.85 C. 1.26

B. 2.58 D. 1.32

Solution: Weight = mg Weight = 1220(9.81) Weight = 11.97 kN 𝑤 𝛾= 𝑉 11.97 𝛾= 0.96 𝛾 = 12.47 𝑘𝑁/𝑚3 𝛾𝑔𝑙𝑦 𝛾𝐻20 12.47 𝑠. 𝑔. = 9.81 𝒔. 𝒈. = 𝟏. 𝟐𝟕 𝑠. 𝑔. =

3. A receptacle in which liquids are retained for a sufficient period of time to allow settleable material to deposit. A. Catch Basin

B. Floor Drain

B. Cesspool

D. Septic Tank

4. The measure of 1 ½ revolutions counterclockwise is. A. +90°

B. 540°

C. 520°

D. -90°

Solution: 1 revolution is 360° 1.5(360°) = 540°

5. The sum of the interior angles of a dodecagon is: A. 2160°

B. 2520°

C. 1980°

D. 1800°

Solution: The sum of the interior angles of a polygon is (n-2)180°. A dodecagon has 12 sides, then. (12-2) (180°) = 1800°

6. What is the meaning of the acronym NAMFREL? A. National Citizen's Movement for free Elections B. National Movement Free Election C. National Management for Free Election D. None of the above

7. Which country occupied the Philippines during World War II? A. Japan

B. American

C. Germany

D. Spaniards

8. According to National Building Code of the Philippines, habitable rooms provided with artificial ventilation shall have ceiling heights not less than _____ A. 2.40 m

B. 2.70 m

C. 2.10m

D. 3.0 m

9. Which software firm is the second largest in the world, after Microsoft? A. Netscape

B. Oracle

C. Norton

D. Lotus

10. A boat has a speed of 7.5 mph in still water attempts to go directly across a river with a current of 5 mph. What is the effective speed of the boat? B. 7.92 mph A. 9.17 mph C. 6.55 mph D. 8.13 mph

Solution: V = √7.72 + 2.62 V = 8.13 mph

AVERAGE 1. A rectangle ABCD which measures 18 by 24 units is folded once, perpendicular to diagonal AC, so that the opposite vertices A and C coincide. Find the length of the fold. A. 2 B. 54/2 C. 7/2 D. 45/2 Solution:

2. A vertical rectangular sluice gate at the bottom of the dam is 0.6m wide and 1.8m high and exposed to water pressure on one side corresponding to a head of 15m above its center. Assuming the gate and stem to weigh 2150 N and the coefficient of friction of gate on runners to be 0.25. Find the hydrostatic force acting on the depth. A. 163 kN C. 170 kN B. 160 kN D. 173 kN Solution:

P= = 9810(15)(0.6)(1.8) 𝛾ℎ𝐴 P P = 158.922 kN 3. What is the second largest country (in size) in the world? A. Canada

B. USA

C. China

D. Russia

4. A 5m, 200mm x 400mm timber cantilever beam weighing 7.4 kN/m3 is to carry an upward force of 30kN at the free end. Determine the bending stress in MPa at a section 2m from the free end. A. 10.05 C. 9.05 B. 11.03 D. 7.02 Solution:

w = 7.4(0.2 x 0.4) = 0.592 kN/m M = 30(2) – 0.592(2)(1) = 58.816 kN-m 6M 6(58.816 x 106 ) fb = = 11.03 MPa 2 2 = bd

200(400)

5. As per ACI Code the capacity reduction factor of concrete members according to type of stress for shear and torsion is: A. 0.80

B. 0.75

C. 0.70

D. 0.85

Solution: The capacity reduction factor of concrete members according to type of stress for shear and torsion is 0.85.

6. The slenderness ratio, KL/r of compression members shall not exceed

A. 200

B. 250

C. 300

D. 240

Solution: According to Section 4.8.4 of NSCP, the slenderness ratio for compression members shall not exceed 200.

7. A 415-kg block is resting on a 28° incline plane with a µ = 0.3. Find the required force P acting horizontally that will prevent the block from sliding. A. 112.6 N

B. 813.5 N

C. 967.7 N

D. 510.5 N

Solution: φ = arctan µ = arctan (0.3) = 16.7ᵒ β = 28 – φ = 11.3ᵒ From the force polygon shown: P = W tan β P = 415(9.81) tan 11.3ᵒ P = 813.5 N

8. A rectangular piece of land 40m x 30m is to be crossed diagonally by a 10-m wide roadway as shown. If the land costs P1,500.00 per square meter, the cost of the roadway is. 40 m

B. P60,165.00

C. P601, 650.00

D. 651,500.00

Solution:

10 m

30 m

A. P401.10

9. Which Asian country's name means 'land of the free'? A. Thailand

B. Japan

C. Sri Lanka

D. Indonesia

10. What is the minimum floor area for bath and toilet that was allowed by the National Building Code of the Philippines? A. 1.5 sq.m.

B. 2.5 sq.m.

C. 0.90 sq.m.

D. 1.20 sq.m.

DIFFICULT 1. Find the ultimate moment capacity of a 280-mm rectangular beam with an effective depth of 500 mm, reinforced for tension only with four 36mm diameter bars. Use f′c = 25 MPa and fy = 400 MPa. A. 572.65 kN-m

B. 515.7 kN-m

C. 556.36 kN-m

D. 487.2 kN-m

Solution: Determine if tension steel yields. Solve for p and p. As = 4 x

π 4

(36)² = 4072 mm2

ρ = As / bd = 4072/ (280 x 500) = 0.0291 ρb =

ρb =

0.85f′c β1 (600) fy (600 + fy )

; β1 = 0.85 (since f′c < 30 MPa)

0.85(25)(0.85)(600) 400(400 + 600)

= 0.027

since ρ > ρb the tension steel will not yield and fs < fy .

fs = 600

[T = C]

500−c c

As fs = 0.85 f′c ab ; a = β1 c = 0.85 c

4072 x 600

500−c c

= 0.85(25)(0.85c)(280)

241542 - 483c = c ; c = 306 mm (by quadratic formula) fs = 600

500−306 306

= 380.69 MPa < 400 MPa

a = 0.85(306) = 260.1 mm

Mu = ∅ T (d - a/2) = ∅ As fs (d - a/2) Mu = 0.90(4072)(380.39)(500 - 260.1/2)

Mu = 515.73 x 106 N-mm = 515.73 kN-m...