(1) | $ (4) | 0 (139) | 1 (35) | 2 (42) | 3 (26) | 4 (10) | 5 (6) | 6 (5) | 7 (19) | 8 (6) | 9 (1) | A (270) | B (43) | C (116) | D (224) | E (131) | F (153) | G (27) | H (57) | I (140) | J (6) | K (8) | L (47) | M (77) | N (34) | O (11) | P (537) | Q (18) | R (48) | S (573) | T (206) | U (6) | V (43) | W (86) | X (17) | Y (2) | Z (9) | [ (3)
Title Last update
A man made P2,500 quarterly payment to an account earning 1.5% monthly. Find the accumulated amount after 10 years.
An angle of a triangle is four times as large as another and 45° more than the third angle. Find the angle.
A couple decides to entertain 24 friends by giving 4 dinners with 6 guests each. In how many ways can the 1st group be chosen?
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.
All factors being equal, which of the following concrete mixes has the highest 28-day compressive strength?
A store has three kinds of toys given in every purchase. What is the probability of getting all three toys in five purchases?
A spider eats three flies a day. Until he fills his quota, he has an even chance of catching any fly that attempts to pass. A fly is about to make the attempt. What are the chances of survival, given that five flies have already made the attempt today?
An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed, with mean equal to 800 hours and a standard deviation of 40 hours.
A large chain retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 3%.
An equilateral triangle is inscribed within a circle whose diameter is 12 cm. In this triangle a circle is inscribed; and in this circle, another equilateral triangle is inscribed; and so on indefinitely. Find the sum of the areas of all the triangles.
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 drawer contains red socks and black socks. When two socks are drawn at random, the probability that both are red is 1/2. How small can the number of socks in the drawer be?
A truth serum given to a suspect is known to be 90% reliable when the person is guilty and 99% reliable when the person is innocent.
A substance goes into a solution at the rate of 25% of the undissolved portion each minute. If the initial amount was 64/27 grams, what amount (in grams) is undissolved after 6 minutes?
A multiple-choice examination has 200 questions, each with 4 possible answers, of which only one is correct.
A stone is dropped into a well and the report of the stone striking the bottom is heard 7.7 seconds after it is dropped.
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 die is thrown randomly four hundred fifty times. The frequencies of outcomes 1, 2, 3, 4, 5 and 6 were noted as given in the following table:
A Ferris wheel, 9 m in radius, is rotating such that the riders will experience zero gravity at the topmost part of the wheel. How many revolutions it made in every minute?
An altar for ancient rituals is in the form of a cube of edge 1.5 m. If you double the size of the cube, what will be the dimension of its edges?
A sphere is circumscribing a cubical box having a volume of 8000 cm3. Compute the volume of the space between the cubical box and the sphere.
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?
An airplane flew from Davao whose latitude is 14° N and longitude of 121° 30' E on a course of S 30° W and maintaining uniform altitude. At what longitude will the plane cross the equator?
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?
At what time between three and four o’clock is the minute hand the same distance from VIII as the hour hand is from XII?
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 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 vertical summit curve has tangent grades of +2.6% and -1.5%. Using h1 = 1.37 m and h2 = 0.1 m, calculate the minimum length of curve if the required sight distance is 140 m.
A 3-degree simple curve has an external distance of 23 m. What is the length of the long chord?
At 6:00 A.M., a fighter plane took off at 410 kph from an aircraft carrier, maintaining the direction of N 50° E.
A dog is tied with a chord 3 m long to the edge of a circular tank 8 m in diameter. The point where the cord is attached to the tank is at the same elevation as the dog’s collar. Determine the total area about which the dog can move, in square meter...
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?
A contractor bought a concrete mixer at P120,000.00 if paid in cash.
A group of dancers consists of x boys and x girls. If two of the boys are replaced by two girls, then 48% of the group members will be boys. Find the original value of the boys.
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 sector of a circle with radius 10 cm has a central angle of 120°. Find the arc length of the sector.