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A 3-degree simple curve has an external distance of 23 m. What is the length of the long chord?
A and B can finish the job in 8 days and the working speed of A is twice that of B. How many days would it take A to finish the job alone?
A and B compete in a race. A runs at a constant rate of 126 m/min while B runs 145 m the first minute, 143 m the second minute, 141 m the third minute and so on.
A and B run a 1.5-kilometer race. In the first heat, A gives B a start of 11 meters and beats him by 57 seconds. In the second heat, A gives B a start of 81 seconds and is beaten by 88 meters. Find the rate of A in km/hr.
A and B start at the same time from two places 154 km apart and travel toward each other. A travels 10 kph and B 8 kph. If B stopped 1 hour on the way, in how many hours will they meet?
A bacterial culture is growing according to the formula y = 10,000e^{0.6x) where x is the time in days. Estimate the number of bacteria after one week.
A bag contains 20 tennis balls, of which four are defective. If two balls are selected at random from the bag, what is the probability that both are defective?
A battalion, 20 miles long, advances 20 miles. During this time, a messenger on a horse travels from the rear of the battalion to the front and immediately turns around, ending up precisely at the rear of the battalion...
A boat going upstream takes 1.5 times longer than going the same distance downstream. If the water current in the river is 8 kph, calculate the speed of the boat in still water.
A bookstore has a stock of 30 paperback copies of Surveying as well as 50 hardcover copies of the same book.
A boy is 25 years younger than his father. In 10 years, his father will be twice his age. Find the age of the boy.
A boy playing under the street-light noticed that the length of shadow of his 5-foot stick erected vertically on the pavement, is 20 inches.
A businessman wishes to earn 7% on his capital after payment of taxes. If the income from an available investment will be taxed at an average rate of 42%, what minimum rate of return, before payment of taxes, must the investment offer to be justified?
A can do a job 50% faster than B and 20% faster than C. Working altogether, they can finish the job in 4 days. How many days will it take A to finish the job if he works alone?
A car that accelerates uniformly passes at point A with a speed of 30 kph. It reaches point B, 21 km from A, after 18 minutes. Find the acceleration of the car.
A car travels with an initial velocity of 10 m/s or 36 km/hr. If it is decelerating at a rate of 3 m/sec-sec, how far, in meters, does it travel before stopping?
A cat takes 4 leaps to a dog's 3; but 2 of the dog's leaps are equivalent to 3 of the cat’s. The cat has a start of 50 leaps. How many leaps must the dog take to catch the cat?
A certain bacterial culture doubles in number every day. If there were 1000 bacteria at the end of the 1st day, how many will there be after 10 days?
A certain lotto game consists of 30 different balls numbered 1 to 30. If five balls are drawn at random without replacement, how many possible winning combinations can be made?
A certain university gives 4 points per credit for a grade A, 3 points per credit for B, 2 points per credit for grade C, a point per credit for grade D, and zero for an F.
A circle 8 cm in radius is tangent to a line at A. Another circle 3 cm in radius is tangent also to the same line at B. Find the distance AB if the two circles are tangent externally to each other.
A circle has an equation of x^2 + y^2 + 2cy = 0. Find the value of c when the length of the tangent from (5, 4) to the circle is equal to one.
A circle has its center at (3, -27). It is tangent to the line $3x + 4y - 26 = 0$. Locate the point of tangency.
A circle having a radius of 18 cm is cut by a chord 5 cm from the center. What is the area of the of the smaller segment?
A circle is described by the equation x^2 + y^2 - 16x = 0. What is the length of the chord that is 4 units from the center of the circle?
A circle of radius 1 unit is shown. AD is the diameter of the circle and O is the center. Find the length of arc BC.  
A circle of radius 15 cm is revolved about a line tangent to it. What is the surface area of the resulting by the solid?
A circle with radius 6 has half its area removed by cutting off a border of uniform width. Find the width of the border.
A circle with radius r has a circumference equal to the perimeter of a square whose side is S. Which of the following is true?
A closed conical tank has a base diameter of 2 m and is 5 m tall. When standing in upright position, the water in the tank is 3 m deep. How deep will the water stand in the tank when in inverted position?
A closed cylindrical tank having a volume of 71.57 m^3 is to be constructed. If the surface area is to be minimum, what is the required diameter of the tank?
A coin is so unbalanced that it may come both heads in 2 tosses as it may come tails in a single toss. What is the probability of getting a head in a single toss?
A coin is so unbalanced that you are likely to get two heads in two successive throws as you are to get tails in one
A combination lock has 60 different positions. To open the lock, the dial is turned to a certain number in the clockwise direction, then to a number in the counterclockwise direction, and finally to a third number in the clockwise direction.
A commuter drives from Mandaue to Bogo 120 km away at an average speed of 60 kph and returned to Mandaue at an average speed of 40 kph. What was the average speed of the commuter for the whole journey?
A company invests P10,000 today to be repaid in five years in one lump sum at 12% compounded annually. If the rate of inflation is 3% compounded annually, how much profit in present day pesos is realized over five years?