Water is flowing into a conical cistern at the rate of 5 m3/min. The height of the cone is 10 m and the radius of the upper base 5 m. How fast in m/min is the radius of water changing when there is 6 m deep of water in the cone?
| A. 0.0664 | C. 0.0488 |
| B. 0.0884 | D. 0.0466 |
Find the length of the latus rectum of the following ellipse: 25x2 + 9y2 - 300x - 144y + 1251 = 0.
| A. 3.4 | C. 3.6 |
| B. 3.2 | D. 3.0 |
What time after 3:00 o’clock would the hour-hand and the minute-hand of a continuously driven clock subtends an angle of 45° for the second time?
| A. 3:22.5 | C. 3:23.5 |
| B. 3:25.25 | D. 3:24.54 |
A right spherical triangle ABC of a sphere of radius 50 cm has angle C = 90°, A = 56° and side b = 47°. Find the area of the triangle in square centimeter.
| A. 941.2 | C. 786.3 |
| B. 986.1 | D. 652.4 |
The total surface area of a closed cylindrical tank is 153.94 square meter. If the volume is to be maximum, what is its height in meters.
| A. 6.8 m | C. 3.6 m |
| B. 5.7 m | D. 4.5.m |
Find the area bounded by the y-axis and the lines y = 6x - 1 and y = x/4 + 3.
| A. 32/529 | C. 32/23 |
| B. 16/23 | D. 1440/529 |
A time deposits of P110,000 for 31 days earns P890.39 on maturity date after deducting the 20% withholding tax on interest income. Find the rate of interest per annum.
| A. 12.50% | C. 11.95% |
| B. 12.25% | D. 11.75% |
A trough has an open top 0.30 m by 6 m and closed vertical ends which are equilateral triangles 30 cm on each side. It is filled with water to half its depth. Find the volume of water in cubic meters.
| A. 0.0584 | C. 0.0463 |
| B. 0.0378 | D. 0.0652 |
Find the angle subtended by the line segment through (0, 0, 0) and (3, 8, 5) from the xy-plane.
| A. 28.53° | C. 30.34° |
| B. 35.82° | D. 32.86° |
