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The largest number by which the expression $n^3 - n$ is divisible for all possible values of $n$, is:

4 years 6 months ago

Alvin can do a piece of work in 9 days. Briggs is 50% more efficient than Alvin. The number of days it takes Briggs to do the same piece of work is:

4 years 6 months ago

At 2:15 o'clock, the hour and minute hands of a clock form an angle of:

4 years 6 months ago

The price of an article is cut by 10%. To restore it to its former value the new price must be increased by:

4 years 6 months ago

Aljur owns a 24mm prime camera lens worth P10,000. He sell it to Brandon at a 10% profit based on the worth of the lens. Brandon sells the lens back to Aljur at a 10% loss. Then:

4 years 6 months ago

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.

4 years 6 months ago

The sum to infinity of $\dfrac{1}{7} + \dfrac{2}{7^2} + \dfrac{1}{7^3} + \dfrac{2}{7^4} + \ldots$ is:

4 years 6 months ago

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?

4 years 6 months ago

From a group of boys and girls, 15 girls leave. There are then left two boys for each girl. After this 45 boys leave. There are then 5 girls for each boy. The number of girls in the begineeing was:

4 years 6 months ago

Andrea and Bethel run around a circular track whose circumference is 150m.

4 years 6 months ago

John ordered 4 pairs of black socks and some additional pairs of blue socks.

4 years 6 months ago

Amy can walk 4 km in the time it takes Baron to walk 5 km. Amy requires 3 minutes longer than Baron to walk a kilometer. Find the rate of Amy.

4 years 6 months ago

Allan and Bernard start at the same time from two places 136 km apart and travel toward each other. Allan travels 10 kph and Bernard 8 kph. If Bernard rests 1 hour on the way, in how many hours will they meet?

4 years 6 months ago

Two candles of the same height are lighted at the same time.

4 years 6 months ago

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...

4 years 7 months ago

At an ordinary rate a man can row the distance from Pasig to Manila, about 15km, in 5 hours less time than it takes him to return.

4 years 7 months ago

In what time would Alberto, Brando and Carlo together do a work if Alberto alone could do it in 6 hours more, Brando alone in 1 hour more, and Carlo alone in twice the time?

4 years 7 months ago

Ten stones are placed in a straight line on the ground, at intervals of two feet.

4 years 7 months ago

Three numbers whose sum is 42 are in GP. If 1 is subtracted from the first, 3 from three from the second, and 11 from the third, the remainders will be in AP. Find the smallest number.

4 years 7 months ago

The number of revolution per minute of a ball governor required to keep the balls h inches below the point of suspension varies inversely as the square root of h.

4 years 7 months ago

Albert and Bryan can do a certain task if both work together 3 days and Albert then works alone 1 day.

4 years 7 months ago

After 4/5 of his mangoes spoiled, Albert bought enough from Bryan so that each then had 1/3 as many as first and Albert had 80 more than Bryan. How many had Albert at first?

4 years 7 months ago

Differential equations: Newton's Law of Coolin

4 years 7 months ago

lXCn0Dq-3 What is the length of the dividing line DE in meters?

4 years 7 months ago

lXCn0Dq-2 How far is point E from corner A in meters?

4 years 7 months ago

lXCn0Dq-1 What is the bearing of side BC?

4 years 7 months ago

lXCn0Dq-0 Situation: A triangular lot ABC have side AB of length 94 m and bearing N 45° E and side AC of length 88 m, in clockwise direction.

4 years 7 months ago

xO3wmaY-3 If the monthly deposit after two years is increased to P1,000, and if the interest rate is 18% compounded monthly, what is the amount of the deposit after five years?

4 years 7 months ago

xO3wmaY-2 If the monthly deposit after two years is increased to P1,000, what is the amount of the deposit after five years?

4 years 7 months ago

xO3wmaY-1 What is the amount of the deposit after five years?

4 years 7 months ago

xO3wmaY-0 Situation: Five hundred pesos is deposited monthly to an account earning 7% compounded monthly.

4 years 7 months ago

Find the probability that somebody is healthy given that they have positive test result?

4 years 7 months ago

Find the first derivative of y with respect to x of the following function, when x = 2.$$ y = \dfrac{\ln x^2}{\sin 2x} $$

4 years 7 months ago

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?

4 years 7 months ago

Three circles of different diameter are tangent externally. The triangle formed by the line joining their centers has sides 16 cm, 20 cm, and 24 cm, respectively. Find the area of the smallest circle in square cm.

4 years 7 months ago

In a bowling game, how many ways can the 10 pins fall in the first throw?

4 years 7 months ago

A sphere of radius 18 inches is cut by two parallel planes that are 16 inches apart. Find the volume on the sphere included between these cutting planes if the radius of one of the circles cut is 15 inches.

4 years 7 months ago

The total surface area of a regular tetrahedron is 339.482 cm2. Find the measure of the edge of this tetrahedron.

4 years 7 months ago

The sides of a triangle measure 10 cm, 14 cm, and 8 cm, respectively. What is the smallest interior angle of this triangle?

4 years 7 months ago

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?

4 years 7 months ago

A hemispherical dome is 16 meters in diameter. If the bottom 1-meter strip of the dome’s surface painted, what is the total painted area?

4 years 7 months ago

A polygon has 104 diagonals. How many sides have this polygon?

4 years 7 months ago

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?

4 years 7 months ago

Closed right circular cylinder 2 meter in diameter and 2-meter tall is partially filled with water. When lying in a horizontal position, the depth of water is 2/3 the diameter. When the cylinder is in the vertical position, what is the depth of water?

4 years 7 months ago

If a certain soccer game ended 3:2, what is the probability that the side that lost scored first? Assume that all scoring scenarios are equiprobable.

4 years 7 months ago

The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?

4 years 7 months ago

A furniture manufacturer has two machines, but only one can be used at a time.

4 years 7 months ago

At what angle do the lines $y = 2x + 2$ and $y = x - 4$ intersect?

4 years 7 months ago

If the power of an engine grows by 10% when the number of its cylinders is increased by one, which of the following is closest to the ratio of the power of a 9-cylinder engine to that of a 12-cylinder engine?

4 years 7 months ago