These are Multiple Choice Questions (MCQ) from Exams posted before May 2024. These MCQs get orphaned after the system upgrade.
One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5 black balls.
There are 6 people lining up to pay telephone bills.
In how many ways can 5 engineers and 4 nurses be arranged in a round table if the nurses insisted to be sitting side by side?
In a family of five children, what is the chance that there are three boys and two girls?
A store has three kinds of toys given in every purchase. What is the probability of getting all three toys in five purchases?
Three marksmen simultaneously shoot and hit a rapidly spinning spherical target.
The probabilities that three men hit a target are 1/6, 1/4, and 1/3, respectively. Each shoot once at the target.
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.
If queries sent to a search engine arrive every 15 seconds on the average, what is the probability of waiting less than or equal to 30 seconds?
The length of a telephone conversation is 2.5 minutes on average. What is the probability that a conversation lasts between 3 and 5 minutes?
The Design Basis Earthquake (DBE) has a return period of 475 years with 10% probability of exceedance in how many years?
Find $P(0 \lt z \lt 1.25)$, where $z$ has the standard normal distribution.
Suppose a population is normally distributed with a mean of 24.6 and a standard deviation of 1.3. What percentage of data will lie between 25.3 and 26.8?
The number of cars passing a point on a road during a five-minute period may be modelled by the Poisson distribution with parameter 4. Find the probability that in five-minute period, fewer than 3 cars go past.
The probability that a certain kind of component will survive a given shock test is ¾. Find the probability that exactly 2 of the next 4 components tested survive.
The probability that a patient recovers from a rare blood disease is 0.4. If 15 people are known to have contracted this disease, what is the probability that at least 10 survive?
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?
In a certain municipality, all seven-digit telephone numbers begin with 321. How many telephone numbers maybe assigned to that municipality if the last four digits should not begin or end in zero?
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.
M. Poirot and Miss Marple walk into a turned-off escalator to realize that he is able to walk 3 steps during the time she needs to walk only 2.
In a certain town there are 1000 married couples. Two-thirds of the husbands who are taller than their wives are also heavier and three-quarters of the husbands who are heavier than their wives are also taller.
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?
I was walking along the road at 6kph when a car dashed past me and only missed me by a few inches.
A multiple-choice examination has 200 questions, each with 4 possible answers, of which only one is correct.
What is the probability that a waitress will refuse to serve alcoholic beverages to only 2 minors if she randomly selects the I.D.’s of 6 students from among 9 students of which 4 are not of legal age?
Studies have shown that 72.5% of apprehended snatchers in Metro Manila are drug users. In a random sample of 16 apprehended snatchers, what is the probability that exactly 10 of them are drug users?
There are three candidates for president of Silk Residences Condominium Unit Owners Association. The probability that Albert will be elected is 0.3, the probability that Bryan will be elected is 0.5 and the probability that Charlie will be elected is 0.2.
The probability that both stages of a two-stage missile will function correctly is 0.95. The probability that the first stage will function correctly is 0.98.
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 farmer owned a square field measuring exactly 2261 yards on each side. 1898 yards from one corner and 1009 yards from an adjacent corner stood a beech tree.
Ted on his bicycle and Noli on his motorcycle started to move simultaneously at 8:00 am from points A and B on a road toward each other.
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?
Two casks A and B were filled with two kinds of sherry. In cask A, the ratio of the two kinds of sherry is 2:7 while in B, it is 1:5.
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.
Three people toss a coin, and the odd man pays for the coffee. If the coins all turn up the same, they are tossed again. Find the probability that fewer than 4 tosses are needed.
A man passed one-sixth of his life in childhood, one-twelfth in youth, and one-seventh more as a bachelor.
The local weather forecaster says “no rain” and his record is 2/3 accuracy of prediction. But the Federal Meteorological Service predicts rain and their record is 3/4. With no other data available, what is the chance of rain?
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?
Find the values of b for which the line y = 3x + b and the parabola y^2 = 5x will have no common point.
A contractor has 50 men of the same capacity at work on a job. They can complete the job in 30 days, but the contract expired in 20 days.
What time between 2 and 3 o’clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o’clock mark?
The king’s minter boxes his coins 100 to a box. In each box he puts 1 false coin. The king suspects the minter and from each of 100 boxes draws a random coin and has it tested. What is the chance the minter’s peculations go undetected?
The geometric mean of two numbers is 8 and the arithmetic mean is 17. Find one of the numbers.
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.
Stations A and B are 120 miles apart on a single-track railroad. At the same time that a train leaves A for B at 25 mph, a train leaves B for A at 15 mph.
During the last election, the total number of votes in a certain municipality was 12,400.