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30 Questions MCQ Test GMAT Mock Test Series 2026 - Diagnostic Test: GMAT
Three positive integers a, b, and c are such that their average is 20 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c?
A movie hall sold tickets to one of its shows in two denominations, $11 and $7. A fourth of all those who bought a ticket also spent $4 each on refreshments at the movie hall. If the total collections from tickets and refreshments for the show was $124, how many $7 tickets were sold? Note: The number of $11 tickets sold is different from the number of $7 tickets sold.
149 is a 3-digit positive integer, product of whose digits is 1 × 4 × 9 = 36. How many 3-digit positive integers exist, product of whose digits is 36?
A student is required to solve 6 out of the 10 questions in a test. The questions are divided into two sections of 5 questions each. In how many ways can the student select the questions to solve if not more than 4 questions can be chosen from either section?
How many 6-digit numbers can be formed using the digits {1, 2, 3, ... 9} such that any digit that appears in such a number appears at least twice?
ways
= 84 ways.
= 90 waysWhat is the sum of all 3-digit positive integers such that all the digits of each of the number is even?
What is the least number that when divided by 44 leaves a remainder 31, when divided by 56 leaves a remainder 43, and when divided by 32 leaves a remainder 19?
What is the product of all the factors of the cube of a positive integer 'n' if the product of all the factors of square of n is n3?
How many even 3-digit positive integers exist whose digits are distinct?
If x and y are non-negative integers such that 4x + 7y = 68, how many values are possible for (x + y)?
Is x|x| = x2?
Statement 1: x(1 – x2) < 0
Statement 2: x(1 – x) < 0
What is the range of 3 positive integers a, b, and c?
Statement 1: 21a = 9b = 7c
Statement 2: a + 8, b, and c, in that order are in AP.
If a and b are positive integers, is (a + b) prime?
Statement 1: 13a = 43b
Statement 2: 8a = 15b
If y = (x - p)(x - q), is the sum of integers p and q positive?
Statement 1: The curve cuts the y-axis at -20.
Statement 2: Minimum value of y is -36.
Directions: Read the given passage carefully and answer the question as follow.
The manor was the sphere of operations of a manor court. On every manor the tenants gathered at frequent periods for a great amount of petty judicial and regulative work. The most usual period for the meeting of the manor court was once every three weeks, though in some manors no trace of a meeting is found more frequently than three times, or even twice, a year. In these cases, however, it is quite probable that less formal meetings occurred of which no regular record was kept.
Different kinds of gatherings of the tenants are usually distinguished according to the authority under which they were held, or the class of tenants of which they were made up. If the court was held by the lord simply because of his feudal rights as a landholder, and was busied only with matters of the inheritance, transfer, or grant of lands, the fining of tenants for the breach of manorial custom, or failure to perform their duties to the lord of the manor, the election of tenants to petty offices on the manor, and such matters, it was described in legal language as a court baron. If a court so occupied was made up of villain tenants only, it was called a customary court. If, on the other hand, the court also punished general offences, petty crimes, breaches of contract, breaches of the assize, that is to say, the established standard of amount, price, or quality of bread or beer, the lord of the manor drawing his authority to hold such a court either actually or supposedly from a grant from the king, such a court was called a court leet. With the court leet was usually connected the so-called view of frank pledge.
Frank pledge was an ancient system, according to which all men were obliged to be enrolled in groups, so that if any one committed an offence, the other members of the group would be obliged to produce him for trial. View of frank pledge was the right to punish by fine all who failed to so enrol themselves. In the court baron and the customary court it was said by lawyers that the body of attendants were the judges, and the steward, representing the lord of the manor, only a presiding official, while in the court leet the steward was the actual judge of the tenants. In practice, however, it is probable that not much was made of these distinctions and that the periodic gatherings were made to do duty for all business of any kind that needed attention, while the procedure was that which had become customary on that special manor, irrespective of the particular form of authority for the court.
Q. According to the information in the first paragraph, the fact that ‘in some manors no trace of a meeting is found more frequently than three times, or even twice, a year ’ does NOT necessarily suggest that
Directions: Read the given passage carefully and answer the question as follow.
What is patriotism? Is it love of one’s birthplace, the place of childhood’s recollections and hopes, dreams and aspirations? Is it the place where, in childlike naivety, we would watch the fleeting clouds, and wonder why we, too, could not run so swiftly? The place where we would count the milliard glittering stars, terror-stricken lest each one “an eye should be,” piercing the very depths of our little souls? Is it the place where we would listen to the music of the birds, and long to have wings to fly, even as they, to distant lands? Or the place where we would sit at mother’s knee, enraptured by wonderful tales of great deeds and conquests? In short, is it love for the spot, every inch representing dear and precious recollections of a happy, joyous, and playful childhood?
If that were patriotism, few American men of today could be called upon to be patriotic, since the place of play has been turned into factory, mill, and mine, while deafening sounds of machinery have replaced the music of the birds. Nor can we longer hear the tales of great deeds, for the stories our mothers tell today are but those of sorrow, tears, and grief.
What, then, is patriotism? “Patriotism, sir, is the last resort of scoundrels,” said Dr. Johnson. Leo Tolstoy, the greatest anti-patriot of our times, defines patriotism as the principle that will justify the training of wholesale murderers; a trade that requires better equipment for the exercise of man-killing than the making of such necessities of life as shoes, clothing, and houses; a trade that guarantees better returns and greater glory than that of the average workingman.
Gustave Herve, another great anti-patriot, justly calls patriotism a superstition— one far more injurious, brutal, and inhumane than religion. The superstition of religion originated in man’s inability to explain natural phenomena. That is, when primitive man heard thunder or saw the lightning, he could not account for either, and therefore concluded that back of them must be a force greater than himself. Similarly he saw a supernatural force in the rain, and in the various other changes in nature. Patriotism, on the other hand, is a superstition artificially created and maintained through a network of lies and falsehoods; a superstition that robs man of his self-respect and dignity, and increases his arrogance and conceit.
Q. The primary purpose of the passage is to:
Directions: Read the given passage carefully and answer the question as follow.
What is patriotism? Is it love of one’s birthplace, the place of childhood’s recollections and hopes, dreams and aspirations? Is it the place where, in childlike naivety, we would watch the fleeting clouds, and wonder why we, too, could not run so swiftly? The place where we would count the milliard glittering stars, terror-stricken lest each one “an eye should be,” piercing the very depths of our little souls? Is it the place where we would listen to the music of the birds, and long to have wings to fly, even as they, to distant lands? Or the place where we would sit at mother’s knee, enraptured by wonderful tales of great deeds and conquests? In short, is it love for the spot, every inch representing dear and precious recollections of a happy, joyous, and playful childhood?
If that were patriotism, few American men of today could be called upon to be patriotic, since the place of play has been turned into factory, mill, and mine, while deafening sounds of machinery have replaced the music of the birds. Nor can we longer hear the tales of great deeds, for the stories our mothers tell today are but those of sorrow, tears, and grief.
What, then, is patriotism? “Patriotism, sir, is the last resort of scoundrels,” said Dr. Johnson. Leo Tolstoy, the greatest anti-patriot of our times, defines patriotism as the principle that will justify the training of wholesale murderers; a trade that requires better equipment for the exercise of man-killing than the making of such necessities of life as shoes, clothing, and houses; a trade that guarantees better returns and greater glory than that of the average workingman.
Gustave Herve, another great anti-patriot, justly calls patriotism a superstition— one far more injurious, brutal, and inhumane than religion. The superstition of religion originated in man’s inability to explain natural phenomena. That is, when primitive man heard thunder or saw the lightning, he could not account for either, and therefore concluded that back of them must be a force greater than himself. Similarly he saw a supernatural force in the rain, and in the various other changes in nature. Patriotism, on the other hand, is a superstition artificially created and maintained through a network of lies and falsehoods; a superstition that robs man of his self-respect and dignity, and increases his arrogance and conceit.
Q. The passage does NOT mention which of the following about patriotism?
Directions: Read the given passage carefully and answer the question as follow.
The variety of mouse which is known as the Japanese dancing or waltzing mouse has been of special interest to biologists and to lovers of pets because of its curious movements. Haacke in Brehm’s “Life of Animals” writes as follows concerning certain mice which were brought to Europe from China and Japan: “From time to time a Hamburg dealer in animals sends me two breeds of common mice, which he calls Chinese climbing mice (Chinesische Klettermäuse) and Japanese dancing mice (Japanische Tanzmäuse). It is true that the first are distinguished only by their different colors, for their climbing accomplishments are not greater than those of other mice. The color, however, is subject to many variations. Besides individuals of uniform gray, light yellow, and white color, I have had specimens mottled with gray and white, and blue and white. Tricolored mice seem to be very rare. It is a known fact that we also have white, black, and yellow mice and occasionally pied ones, and the Chinese have profited by these variations of the common mouse also, to satisfy their fancy in breeding animals. The Japanese, however, who are no less enthusiastic on this point, know how to transform the common mouse into a really admirable animal. The Japanese dancing mice, which perfectly justify their appellation, also occur in all the described colors. But what distinguishes them most is their innate habit of running around, describing greater or smaller circles or more frequently whirling around on the same spot with incredible rapidity. Sometimes two or, more rarely, three mice join in such a dance, which usually begins at dusk and is at intervals resumed during the night, but it is usually executed by a single individual.”
Q. According to the passage, each of the following is a possible color of the Japanese dancing mice EXCEPT:
Directions: Each of these critical reasoning practice questions are based on a short argument, a set of statements, or a plan of action. For each question, select the best answer of the choices given.
Although Apple products have continued to enjoy record-breaking profits worldwide, iPod retailers have recently reported that the numbers of the touch-screen devices sold have steadily decreased in the past two years. However, in the past two years, the numbers of iPhones sold have nearly doubled. Thus, more people are choosing to buy iPhones than iPods when selecting from Apple’s products.
Q. The reasoning in the argument is questionable primarily because the argument:
Directions: Each of these critical reasoning practice questions are based on a short argument, a set of statements, or a plan of action. For each question, select the best answer of the choices given.
According to a recent census, West Egg had more mansions per capita last year than East Egg, while East Egg had slightly fewer residents than West Egg. Since the census, West Egg and East Egg have each seen the demolition of a dozen dilapidated mansions within their respective borders, and no new mansions have begun construction. It must be true, therefore, that _________.
Q. Which of the following best completes the passage?
Directions: Each of these sentence correction practice questions presents a sentence, some or all of which is underlined. Below the sentence you will find five ways of phrasing the underlined part. Option A always repeats the original phrasing, while the other four are different. Choose the answer that produces the most effective sentence based on the requirements of standard written English. Your answer should make the sentence clear, exact, and grammatically correct.
Q. The Egyptologist chose mostly figurines from the 5th dynasty to display in the latest exhibit, but adding 4th century pottery including coptic jars from several important tombs to round out the display.
A candy store sells 50 types of candies, each type costing one dollar per candy. No customer is sold more than one candy. The store accepts only one-dollar bills or green tokens issued by the store. Each token costs two dollars. If a customer buys one candy with a token, a one-dollar bill is returned to the customer as change. Every day, at the start of the day, the store keeps exactly 300 one-dollar bills and no green tokens in its cash register.
On a particular day, 600 candies were sold. On that day, customers were twice as likely to have paid with one-dollar bills as with green tokens.
In the table, select the number of one-dollar bills and the number of green tokens present in the cash register at the end. Make only two selections, one in each column.
The graph shows the per share price of the stock of three companies at the end of each year between 2002 and 2011.
Based on the given information, fill in the blanks in each of the following statements.
1. Between the end of 2003 and the end of 2007, the stock of ____ experienced the greatest percent appreciation.
2. At the end of 2005, the per share price of Tetrapod, Inc. was approximately ____ times the sum of the per share prices of Quadruped Corp. and FourFeet, Ltd.
Window 1: Email 1
E-mail from CEO to Project Manager and Designer
I’m concerned about the architect’s renderings for the new building. Those rows and rows of desks seem crowded and unpleasant. Will people have enough space to work? Will they have enough privacy to call a client? We don’t want to create a boiler room atmosphere. We tell our staff that we value creativity. Are we generating their most creative ideas by having them sit elbow to elbow and stare at the same wall? Is a room full of parallel lines the best we can do for design?
Window 2: Email 2
The general rule of thumb for office design is to allow 200 to 250 square feet of usable space per person, but national averages recently seem to have come down to 180 to 220 square feet. The office needs enough space for people to move around the room with ease, but remember that we no longer see people sitting at their desks for long periods of time. Mobile technology has freed them to move around, meet in conference rooms, work in public spaces both indoors and out, and make and take calls on the go. It’s unlikely that we would have everyone at their desks at the same time.
Window 3: Email 3
E-mail from Designer to CEO and Project Manager
Some recent articles suggest that the idea of cubicles or private offices may be a thing of the past. With the growing interest in collaboration, more companies—especially small, creative firms—are moving to open floor plans. When team members are in the office, we’re more interested in having them confer than locking themselves away and working alone. Can we give more space to conference rooms and perhaps consider shared workspaces?
Q. Consider each of the following statements. Does the information in the three sources support the inference as stated?
Window 1: News Article in Major Newspaper
If current trends continue, 24 million men will find themselves bachelors for life by 2020. China’s “one-child policy” has had an unintended effect: the narrowing of the gene pool. Female children are aborted more than 50 percent of the time, because families want a male heir. From 2000 to 2013, the sex-ratio at birth has gradually climbed to 117:100 in favor of male births, meaning that for every 117 boys only 100 girls were born.
Window 2: Interview with Genetic Expert
The one-child policy, first put into effect in the 1980s, was designed to slow the rapid growth of the Chinese people, as that growth was causing severe overcrowding. Leaders believed the policy would protect the country’s resources and improve productivity. Unfortunately, they did not foresee that the long-held preference for male heirs would lead to a substantial gender imbalance.
Since the introduction of the policy, the fertility rate among Chinese women has dropped from just over 3 births per woman to just 1.8. It is estimated that even though the country has reduced births by roughly 50 percent, there are still 1 million more children born each week than people dying, creating a steady increase in population in spite of the law.
Window 3: Commentary on the social side effects
The gender imbalance resulting from China’s one-child policy has produced noticeable side effects. The more severe this imbalance becomes, the more severe its social side effects will be.
The imbalance causes men who know they are unlikely to form strong family ties to become vagrants. The nation has experienced an increased crime rate that is frequently linked to a large transient population of about 80 million unmarried, low-status, adult males. These individuals are commonly willing to resort to crime to improve their situations, given they have no family ties and perceive that they have nothing to lose.
Q. Consider each of the items listed below. Select Yes if the item can be determined based on the information given in the three sources. Otherwise, select No.
A newly launched small and medium enterprise (SME) company is seeking a loan to support its new project. The company has received loan proposals from two different banks. As per the proposal from Bank A, the company will be provided with an amount of $250,000 at a simple interest rate of 5% per year. The repayment will be made in 12 equal monthly installments, which will include both the principal amount and the interest.
On the other hand, Bank B has offered to provide 125% of the amount proposed by Bank A, with a simple interest rate of 4%. The repayment will also be made in 12 equal monthly installments, including both the principal and the interest.
In the table below, select in column 1 the remaining amount to be paid after six payments, as per the proposal of Bank A, and in column 2 the remaining amount to be paid after nine payments, as per the proposal of Bank B:
What is the range of 5 distinct single digit positive integers if their average is 5?
Statement 1: Their median is 6.
Statement 2: The average of the 3 largest among the 5 numbers is 7.
The graph shows the total payroll and number of regular season wins for the 30 Major League Baseball teams in 2010.
Based on the given information, fill in the blanks in each of the following statements.
1. The likelihood that a team with a payroll greater than $125 million won more than 80 games was ______ the likelihood that a team with a payroll less than $75 million won more than 70 games.
2. The probability that if a team is selected at random, it will be one of the top five teams in terms of both payroll and number of wins is ____.
Refer to the pictograph reflecting the investment behavior of households in a city.
Households that invested in at least one of real estate and stocks represent _____of the total households in the city.
Households that invested in maximum one of the two investments - real estate and stocks - represent ____ of the households in the city.
The total cost of food for the raccoons at the Altadena Wildlife Rescue has increased as the number of raccoons at the Rescue has increased. If it costs the same amount to feed each raccoon, is the cost of food for 7 raccoons more than $2,000 annually?
(1) It costs more than $1,000 annually to feed 4 raccoons.
(2) It costs more than $1,500 annually to feed 5 raccoons.
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