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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

Find the degree of curve of a central simple curve if it has spiral curve 100m. long on two sides, on which a car traveling at 75 kph will not skid. Use arc basis.


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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

The center height of the road at station 5 + 320 is 4.25m. cut. At station 5 + 420 it is 1.80m. fill. The ground slopes uniformly at -5% from station 5 + 320. How far from station 5 + 320 toward station 5 + 420 will the excavation extend.


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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

Determine the area of the spherical triangle ABC if A = 140°, B = 75°, C = 86° and r = 40m.


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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

The vertical of a triangle have polar coordinates of (0, 0), (6, 30°) and (9, 70°). Find the perimeter of the triangle.


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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

A curve road 74m. in radius has a super elevation of 0.12 and a design speed of 80 kph. Determine the coefficient of friction between the tires and the payment.


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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

Find the value of logx 11, if logx 6 = 1.2925.


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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

The upper and lower bases of a frustum of a regular rectangular pyramid are 3m x 4m and 6m x 8m respectively. If the volume is 140cu.m., what is the distance between the bases in meters?


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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

A cylindrical with an altitude of 15cm. has a base in the form of a regular octagon inscribed in a square 10cm x 10cm. Find the volume of the cylinder in cubic cm.


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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

A closed conical vessel has its horizontal base at the bottom and its axis vertical. The water in its stands 0.5m. deep. The base radius is 1 m. and the altitude is 2.5m. The vessels position was changed such that the horizontal base was uppermost. Find the depth of the water from the bottom.


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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

A machine has a first cost of P200,000. At the end of its economic life of 10 years. Its scrap value is estimated to be P25,000. What will be its book value in pesos at the end of 8 years? Use Double Declining Balance Method.


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Mathematics “CE Board Exam May 2004″

February 23rd, 2010 admin No comments

At 4:00 P.M. boat A left the pier in the direction N. 45° E. at 26 mph. At 4:30 P.M. boat B left the same pier in the direction S. 30° E. at 32 mph. How fast were they separating at 5:00 P.M.


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