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A line is divided into 12 equal parts. If the measure of each part is a prime integer, what is the possible length of the line?
A line of levels 9.36 km is run to check the elevation of BM 2 which been found to be 31.388 meters with BM 1 of elevation at sea level.
A line with equation ax + by = 3 passes through (6, 3) and (-1, -1). Find a and b without finding the slope.
A machine poured melted chocolate into moulds. The standard deviation of the amount it pours is 0.7 grams, and the mean amount can be set on the machine.
A magician holds one six-sided die in his left hand and two in his right. What is the probability the number on the dice in his left hand is greater than the sum of the dice in his right?
A man and a boy can do in 15 days a piece of work which could be done by 7 men and 9 boys in 2 days.
A man and his wife invite 8 of their friends to a dinner. They are to be seated around a round table. How many arrangements can be made if the man and his wife are to sit side by side?
A man arrives at the railroad station nearest his country home an hour and 5 minutes before the time at which he had ordered his driver to meet him with his car.
A man drives from station A to station B 60 km away at an average speed of 30 kph and return to A at an average speed of 20 kph. What was the average speed of the man in the whole journey?
A man invested P100,000 at an interest rate of 10% compounded annually. What will be the final amount of his investment, in terms of today’s peso, after 5 years, if inflation remains the same at the rate of 8% per year?
A man made P2,500 quarterly payment to an account earning 1.5% monthly. Find the accumulated amount after 10 years.
A man passed one-sixth of his life in childhood, one-twelfth in youth, and one-seventh more as a bachelor.
A mass of liquid translated horizontally to the left with a uniform velocity will have its surface:
A mechanical device which when installed in the pipe flow system will add energy (output) to the system is known as:
A mechanical device which when installed in the pipe will extract energy from the system.
A merchant buys goods at 25% off the list price. He desires to mark the goods so that he can give a discount of 20% on the marked price and still clear a profit of 25% on the selling price. What per cent of the list price must he mark the goods?
A multiple-choice examination has 200 questions, each with 4 possible answers, of which only one is correct.
A non-square rectangle is inscribed in a square so that each vertex of the rectangle is at the trisection point of the different sides of the square. Find the ratio of the area of the rectangle to the area of the square.
A Norman window has the shape of a rectangle surmounted by a semicircle.
A person buys a piece of property for P100,000 down payment and ten deferred semi-annual payments of P8,000 each starting three years from now.
A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into equilateral triangle.
A pipe can alone fill a tank in 5 hours, while a drain could do the contrary in 12 hours.
A pole cast a shadow 15 m long when the angle of elevation of the sun is 61°. If the pole has lean 15° from the vertical directly towards the sun, what is the length of the pole?
A polygon has 104 diagonals. How many sides have this polygon?
A principle in flow measurement which states that the increase in kinetic energy per unit weight is equal to the decrease in the potential energy per unit weight is known as:
A privateer discovers a merchantman 10 miles to leeward at 11:45 am and with a good breeze bears down upon her at 11 mph, while the merchant can only make 8 mph in her attempt to escape.
A problem on plate deflection
A product has a current selling price of P325. If its selling price is expected to decline at the rate of 10% per annum because of obsolescence, what will be its selling price four years hence?
A pump discharges 50 ton of water per hour at the height of 8 m. The overall efficiency of the pumping system being 69%. Calculate the energy consumed by the pump in 2 hours, expressed in MJ.
A pyramid of blocks has 26 blocks in the bottom row and 2 fewer blocks in each successive row thereafter. How many blocks are there in the pyramid?
A radioactive substance is decaying (it is changing into another element) according to the formula y = Ae^(-0.2x)
A radioactive substance is decaying according to the formula x = ke^(-0.2t) where x is the amount of material remaining after t years and k is the initial amount.
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 rectangle with sides parallel to the axes has vertices at (-3, 2), (2, 5), and (-3, 5). Find the coordinate of the fourth vertex.
A reservoir is in the form of frustum of a cone, 68 ft. across the top, 35 ft. across the bottom, and 18 ft. deep. Find the cost
A right cylindrical tank 2 m in diameter and 5 m long has its axis horizontal. It is filled with fuel to a depth of 1.5 m. Find the volume of fuel in the tank in liters.