These are Multiple Choice Questions (MCQ) from Exams posted before May 2024. These MCQs get orphaned after the system upgrade.
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 polygon has 104 diagonals. How many sides have this polygon?
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?
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?
The sides of a triangle measure 10 cm, 14 cm, and 8 cm, respectively. What is the smallest interior angle of this triangle?
The total surface area of a regular tetrahedron is 339.482 cm2. Find the measure of the edge of this tetrahedron.
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.
In a bowling game, how many ways can the 10 pins fall in the first throw?
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.
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?
Find the first derivative of y with respect to x of the following function, when x = 2.$$ y = \dfrac{\ln x^2}{\sin 2x} $$
Find the probability that somebody is healthy given that they have positive test result?
xO3wmaY-1 What is the amount of the deposit after five years?
xO3wmaY-2 If the monthly deposit after two years is increased to P1,000, what is the amount of the deposit after five years?
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?
lXCn0Dq-1 What is the bearing of side BC?
lXCn0Dq-2 How far is point E from corner A in meters?
lXCn0Dq-3 What is the length of the dividing line DE in meters?
Fred is more popular than Pete. Together they have 66 friends but Fred has 6 fewer than the square of the number that Pete has. How many friends does Fred have?
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?
Albert and Bryan can do a certain task if both work together 3 days and Albert then works alone 1 day.
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.
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.
Ten stones are placed in a straight line on the ground, at intervals of two feet.
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?
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.
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...
Two candles of the same height are lighted at the same time.
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?
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.
John ordered 4 pairs of black socks and some additional pairs of blue socks.
Andrea and Bethel run around a circular track whose circumference is 150m.
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:
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?
The sum to infinity of $\dfrac{1}{7} + \dfrac{2}{7^2} + \dfrac{1}{7^3} + \dfrac{2}{7^4} + \ldots$ is:
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.
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:
The price of an article is cut by 10%. To restore it to its former value the new price must be increased by:
At 2:15 o'clock, the hour and minute hands of a clock form an angle of:
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:
The largest number by which the expression $n^3 - n$ is divisible for all possible values of $n$, is:
Indicate in which one of the following equations y is neither directly nor inversely proportional to x:
When simplified and expressed with negative exponents, the expression $(x + y)^{-1}(x^{-1} + y^{-1})$ is equal to:
The value of $x$ in the equation $\log_{10} (x^2 - 15x) = 2$ are:
The pressure P of wind on a sail varies jointly as the area A of the sail and the square of the velocity V of the wind.
The value of $10^{\log_{10} 7}$ is:
If $a^x = c^q = b$ and $c^y = a^z = d$, then:
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: