Mp Plumbing Arithmetic Pre Board

MP PLUMBING ARITHMETIC PRE BOARD

1. In a certain plumbing installation, three pipes have a diameter of 2, 2 ½ and 3 inches respectively. What is the diameter of a pipe having an area equal to the three pipes? a. 4.93 b. 4.39 c. 3.94 d. 3.49 2. Solve for x : 3 ( raised to -3x ) = 27. a. 1/3 b. 2/3 c. 3/2 d. -3/2 3. If x=y and y=x. This illustrate which axiom in algebra.? a. Symmetric axiom b. Transitive axiom c. Reflexive axiom d. Inverse axiom 4. The mean of 10 numbers is x and the mean of another 5 numbers is y. What is the mean of 15 numbers? a. (2x+y)/3 b. (3x+y)/4 c. (x+y)/2 d. None of these 5. What is the multiplicative inverse of x? a. –x b. -1/x c. 1/x d. X^2 6. The unit “gross” means? a. 100 pcs. b. 100 dozens c. 12 dozens d. 1 dozen 7. Engr. Juan needs to work five-sixth of a year to pay his car loan. If Juan begins working on March 1st, at the end of what month will he first able to pay off his loan? a. June b. August c. October d. December 8. If eccentricity e of a conic is equal to one, the conic has a. 2 vertices b. Greater than 2 vertices c. One vertex

d. No vertex 9. Suppose a trip from dormitory to the lake at 30 mph takes 12 minutes longer than the return trip at 48 mph. How far are the dormitory and the lake? a. 20 miles b. 18 miles c. 16 miles d. 15 miles 10. What is the fifty-fifth term of 1, -1, 1, -1.... a. -1 b. 1 c. 0 d. Infinity 11. Which of the following quadratic equations whose sum and product of the roots are 4 & 7 respectively.. a. x²-4x+7=0 b. x²+4x-7=0 c. x²+7x-4=0 d. x²-7x+4=0 12. Actual measurement of a triangular lot ABC shows the following data, AB=240 BC=180 & CA=160. Calculate the angle at B in degrees? a. 40.8° b. 41.8° c. 39.8° d. 48.0° 13. The measurement of a rectangle are 12m and 16m. What is the area of the smallest circle that can cover the rectangle entirely? a. 144π b. 100π c. 121π d. 400π 14. Given an acute angle A such that cos A is equal to 4/5. What should be the value of cos (2A)? a. 9/5 b. 7/25 c. 7/16 d. 9/25 15. A 4cm by 6 cm rectangular pyramid of perpendicular height 12cm. What is the volume? a. 92 b. 94 c. 96 d. 98 16. A 4.2cm by 4.2 cm square pyramid with a lateral edge of 15 cm. What is the volume? a. 86.44

b. 84.64 c. 86.66 d. 84.44 17. Each of the faces of a regular hexahedron is? a. Triangle b. Rectangle c. Square d. Hexagon 18. The smallest interior angle of a isosceles is half as much as one of other angles. If the area of the triangle is 240 sq.m., finf its perimeter? a. 74.82 b. 78.42 c. 87.24 d. 84.72 19. A firm produces 500,000 units of a product per year and sells them for P4M. It incurs an annual fixed operating expense of P680,000. The unit cost of the product is P3.00. determine the nos. of units to be sold to break even. a. 163000 b. 136000 c. 133000 d. 166000 20. Round off 0.005076 to three significant figures. a. 0.00508 b. 0.005 c. 0.00507 d. 0.51 x 10¯² 21. The logarithm of 1 to any base is: a. One b. Zero c. Infinity d. Indeterminate 22. From a bag containing 4 black balls and 5 white balls, two balls are drawn one at a time. Find the probability that both balls are black. Assume that the first ball is returned before the second ball is drawn. a. 8/9 b. 16/81 c. 7/9 d. 16/9 23. Which of the following number is not irrational numbers? a. 0.333 b. √2 c. e d. π 24. How many centissimal degree are there in one revolution?

a. b. c. d.

360 400 6400 3200 25. It is now past 3 o’clock in the afternoon. The minute hand 3 minutes from now will be directly opposite the hour hand 9 minutes ago, what time is it? a. 3:43 b. 3:47 c. 3:41 d. 3:45