loafeihong/math_mmlu_format huggingface dataset:
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 972 as interest at the end of the loan period, what was the rate of interest? Answer Choice: (A) 3.6 (B) 6 (C) 9 (D) Cannot be determined (E) None of these
Answer: C
The length of each side of square A is increased by 100 percent to make square B. If the length of the side of square B is increased by 80 percent to make square C, by what percent is the area of square C greater than the sum of the areas of squares A and B? Answer Choice: (A) 75% (B) 80% (C) 100% (D) 150% (E) 159.2%
Answer: E
The average (arithmetic mean) of all scores on a certain algebra test was 90. If the average of the 8 male students’ grades was 86, and the average of the female students’ grades was 92, how many female students took the test? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 16
Answer: E
Mike's age is 40 years. If he is 4 more than four times the age of his son, find the age of his son. Answer Choice: (A) 20 years (B) 12 years (C) 16 years (D) 9 years (E) 14 years
Answer: D
Alex has to take a quiz, which has ten true false-type question each carry 1 mark. What is the probability that Alex's can score more than 8 mark in the quiz. Given that he decides to guess randomly on the quiz. Answer Choice: (A) 12/1024 (B) 11/1024 (C) 11/256 (D) 12/256 (E) 14/256
Answer: B
A shopkeeper forced to sell at cost price, uses a 950 grams weight for a kilogram. What is his gain percent? Answer Choice: (A) 10% (B) 9% (C) 11.11% (D) 5.26 % (E) None of these
Answer: D
If the ratio of a to b is 2 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c? Answer Choice: (A) 4/15 (B) 1/3 (C) 2/15 (D) 4/5 (E) 7/6
Answer: C
The area of a square field is 1600 km2. How long will it take for a horse to run around at the speed of 16 km/h ? Answer Choice: (A) 12 h (B) 10 h (C) 8 h (D) 6 h (E) None of these
Answer: B
The speed of a train is 120 kmph. What is the distance covered by it in 8 minutes? Answer Choice: (A) 15 kmph (B) 11 kmph (C) 16 kmph (D) 18 kmph (E) 12 kmph
Answer: C
A wheel rotates 20 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour? Answer Choice: (A) 4 metre (B) 12 metre (C) 240 metre (D) 2400 metre (E) 130 metre
Answer: C
The value of a mobile depreciates at the rate of 5% every year. It was purchased 2 years ago. If its present value is Rs.9025 , its purchase price was Answer Choice: (A) 7500 (B) 8000 (C) 9000 (D) 9500 (E) 10000
Answer: E
Daniel’s only source of income comes from his job as a question writer. In this capacity, Daniel earns a flat salary of $200 per week plus a fee of $7 for every question that he writes. Every year, Daniel takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Daniel wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Daniel’s median annual income over the past 5 years? Answer Choice: (A) $22,474 (B) $25,673 (C) $27,318 (D) $28,513 (E) $31,227
Answer: B
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey? Answer Choice: (A) 7 kmph (B) 4 kmph (C) 8 kmph (D) 3 kmph (E) 5 kmph
Answer: B
If the average weights of three groups of 15,20,25 children respectively is 20,25,30 what is the average weights of all the children? Answer Choice: (A) 32.89 (B) 12.89 (C) 38.76 (D) 25.83 (E) 43.74
Answer: D
A certain company consists of 6 managers and 8 non-managers. How many different teams of 3 employees can be formed in which at least one member of the team is a manager and at least one member of the team is not a manager? (Two groups are considered different if at least one group member is different) Answer Choice: (A) 84 (B) 108 (C) 135 (D) 288 (E) 990
Answer: D
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 7 family members in a row for the picture? Answer Choice: (A) 9! (B) 9×8! (C) 8×9! (D) 10!/2! (E) 5x6!
Answer: E
The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers? Answer Choice: (A) 22 (B) 86 (C) 68 (D) 55 (E) 23
Answer: B
On a trip covering 250 km, a bicyclist travels the first 100 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip? Answer Choice: (A) 15.8 (B) 16.3 (C) 16.7 (D) 17.2 (E) 17.5
Answer: C
According to a survey, at least 60% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three? Answer Choice: (A) 15% (B) 20% (C) 25% (D) 0% (E) 35%
Answer: A
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3? Answer Choice: (A) 12 (B) 50 (C) 87 (D) 26 (E) 12
Answer: B
If an amount of Rs 11,200 is divided equally among
35 students, approximately how much amount will
each student get? Answer Choice: (A) Rs 206 (B) Rs 360 (C) Rs 300 (D) Rs 320 (E) None
Answer: D
Two pipes can separately fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is full, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank? Answer Choice: (A) 15 (B) 16 (C) 12 (D) 14 (E) 18
Answer: B
A multi level marketing devised a training program by which a trainer could convince 40 persons every 60 minutes he conducts the program. And in the next 60 minutes those each of those 40 persons will convince 40 persons. If this process is repeated how many people can be trained/convinced by the company in 300 minutes? Answer Choice: (A) 2560000 (B) 102400000 (C) 64000 (D) 5120000 (E) 6120000
Answer: B
75 60 50 45 30 50 15 ? ? Answer Choice: (A) 0 50 (B) 10 50 (C) 30 25 (D) 25 35 (E) 20 15
Answer: A
Number N is randomly selected from a set of all primes between 10 and 40, inclusive. Number Q is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that N+Q is odd? Answer Choice: (A)  1/2 (B)  2/3 (C)  3/4 (D)  4/7 (E)  5/8
Answer: D
Adam borrowed some money at the rate of 6% p.a. for the first 2years, at the rate of 9% p.a. for the next three years, and at the rate of 14% p.a. for the period beyond five years. If he pays a total interest of $ 11400 at the end of 9years, how much money did he borrow? Answer Choice: (A) $12000 (B) $15000 (C) $14500 (D) $12900 (E) $13200
Answer: A
How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 31% iodine solution? Answer Choice: (A) 35 (B) 42 (C) 100 (D) 105 (E) 140
Answer: B
If 6 men and 2 boys working together, can do five times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time? Answer Choice: (A) 2:5 (B) 2:3 (C) 2:8 (D) 3:1 (E) 3:2
Answer: D
Ages of two persons differ by 24 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age Answer Choice: (A) 12,28 (B) 14,30 (C) 16,32 (D) 18,42 (E) 19,34
Answer: D
By investing Rs. 1800 in 9% stock, Syam earns Rs. 120. The stock is then quoted at Answer Choice: (A) Rs.135 (B) Rs. 96 (C) Rs. 85 (D) Rs. 122 (E) Rs. 142
Answer: A
If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is Answer Choice: (A) 40 (B) 44 (C) 80 (D) 88 (E) 48
Answer: A
A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 24 seconds but himself in 8 seconds. Find the length of the train and its speed. Answer Choice: (A) 10 m/sec (B) 15 m/sec (C) 11.25 m/sec (D) 19 m/sec (E) 25 m/sec
Answer: C
The salaries of A and B together amount to $5000. A spends 95% of his salary and B, 85% of his. If now, their savings are the same, what is A's salary? Answer Choice: (A) $1000 (B) $1250 (C) $2500 (D) $3500 (E) $3750
Answer: E
In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number Q of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85? Answer Choice: (A) 144 (B) 189 (C) 234 (D) 279 (E) 309
Answer: D
Which of the following could be the value of x, if 2|9x – 2| = 158? Answer Choice: (A) 77/9 (B) 0 (C) 9 (D) 3 (E) -2
Answer: C
(128.5 x 4) + (13.8 x 5) = ? x 10 Answer Choice: (A) 524.48 (B) 556.02 (C) 58.3 (D) 585.64 (E) 595.46
Answer: C
If the sum of the interior angles of a regular polygon measures 1440o, how many sides does the polygon have? Answer Choice: (A) 10 sides (B) 8 sides (C) 12 sides (D) 9 sides (E) None of these
Answer: A
At a certain restaurant, the average (arithmetic mean) number of customers served for the past x days was 75. If the restaurant serves 120 customers today, raising the average to 80 customers per day, what is the value of x? Answer Choice: (A) 2 (B) 5 (C) 7 (D) 8 (E) 20
Answer: D
A boat covers a certain distance downstream in I hour, while it comes back in 1½ hours. If the speed of the stream be 3 kmph. what is the speed of the boat in still Water? Answer Choice: (A) 12kmph (B) 13kmph (C) 15kmph (D) 16kmph (E) 18kmph
Answer: C
The speed of a car is 98 km in the first hour and 70 km in the second hour. What is the average speed of the car? Answer Choice: (A) 76 kmph (B) 75 kmph (C) 87 kmph (D) 56 kmph (E) 84 kmph
Answer: E
15 lts are taken of from a container full of liquid A and replaced with Liquid B. Again 15 more lts of the mixture is taken and replaced with liquid B. After this process, if the container contains Liquid A and B in the ratio 9:16,What is the capacity of the container S? Answer Choice: (A) A:45 (B) B:25 (C) C:37.5 (D) D:36 (E) E:42
Answer: C
When 1/20% of 4,000 is subtracted from 1/10 of 4,000, the difference is Answer Choice: (A) 50 (B) 200 (C) 380 (D) 398 (E) 400
Answer: D
Which of the following are/is prime?
I. 143
II. 147
III. 157 Answer Choice: (A)  II only (B)  III only (C)  III (D)  IIII (E)  I, II,III
Answer: D
A committee of 5 is to be selected from among 3 boys and 6 girls. I how many ways can this be done if the committee is to consist of at-least one Girl?
what is the answer choice and how? Answer Choice: (A) 105 (B) 225 (C) 230 (D) 350 (E) 55
Answer: E
1401 x 1401 = ? Answer Choice: (A) 1962800 (B) 1962801 (C) 1960000 (D) 1951611 (E) 1951613
Answer: B
If the number 90x8 is divisible by 8,then what will be the value of x? Answer Choice: (A) 0 (B) 4 (C) A and B (D) None (E) 1
Answer: C
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt? Answer Choice: (A) 277 (B) 2678 (C) 287 (D) 108 (E) 277
Answer: D
If Jake loses 20 pounds, he will weigh twice as much as his sister. Together they now weigh 224 pounds. What is Jake’s present weight, in pounds? Answer Choice: (A) 131 (B) 135 (C) 156 (D) 177 (E) 188
Answer: C
An gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the 1st, 2nd, third & 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively. What is the probability that the plane is hit when all the four shots are fired? Answer Choice: (A) 0.6976 (B) 0.7543 (C) 0.8753 (D) 0.9864 (E) 1.2245
Answer: A
Calculate the circumference of a circular field whose radius is 5 centimeters. Answer Choice: (A) 30 π cm (B) 80 π cm (C) 70 π cm (D) 50 π cm (E) 10 π cm
Answer: E
A bullet train 160 m long is running with a speed of 70 kmph. In what time will it pass a man who is running at 8 kmph in the direction opposite to that in which the bullet train is going? Answer Choice: (A) 23 sec (B) 15 sec (C) 7.38 sec (D) 6.92 sec (E) 16 sec
Answer: C
A factory produces 3400 toys per week. If the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day? Answer Choice: (A) 575 toys (B) 375 toys (C) 680 toys (D) 475 toys (E) 675 toys
Answer: C
If the price of an article went up by 30%, then by what percent should it be brought down to bring it back to its original price? Answer Choice: (A) 25% (B) 23 1/13% (C) 16 7/3% (D) 16 6/3% (E) 16 2/3%
Answer: B
ASvennumber is defined as a five-digit number which goes according to the following rules: the leftmost digit is even, any digit to the right of an even digit must be an odd digit, and any digit to the right of an odd digit can only be one of the digits 1 or 8. How many different 5-digit numbers areSvennumbers? Answer Choice: (A) 20 (B) 80 (C) 160 (D) 220 (E) 250
Answer: D
5^20+5^7/7=? Reminder is………… Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
A barrel contains 12 oranges, 8 grapefruit, and 5 apples for a total of 25 pieces of fruit. As a game, several friends took turns randomly extracting a single piece of fruit from the barrel blindfolded. If the extracted piece of fruit was not an apple, it was returned to the bin. This process was repeated until an apple was drawn. What is the probability that an apple will be extracted on the third extraction or later? Answer Choice: (A) 5/25 (B) 8/25 (C) 12/25 (D) 16/25 (E) 4/5
Answer: D
Walking 7/6 of his usual rate, a boy reaches his school 7 min early. Find his usual time to reach the school? Answer Choice: (A) 22 (B) 28 (C) 99 (D) 49 (E) 66
Answer: D
A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 42 adults have their meal, find the total number of children that can be catered with the remaining food. Answer Choice: (A) 33 (B) 54 (C) 36 (D) 17 (E) 01
Answer: C
Four machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the Job in 8 days? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 8
Answer: A
Speed of a man with current measures 15 km/hr. Speed of current is 2.5 km/hr. What is the speed of man against the current? Answer Choice: (A) 20 kmph (B) 18 kmph (C) 10 kmph (D) 16 kmph (E) 13 kmph
Answer: C
A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running? Answer Choice: (A) 3 1/2 hours (B) 4 1/3 hours (C) 6 1/3 hours (D) 9 3/5 hours (E) 2 1/2 hours
Answer: E
What is the remainder when 49^74 - 5^74 is divided by 24? Answer Choice: (A) 2 (B) 1 (C) 0 (D) 3 (E) None of these
Answer: C
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 72, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement. Answer Choice: (A) K+36 (B) 2K+36 (C) (72+K)/2 (D) (72-K)/2 (E) 2(72-K)
Answer: C
Reduce
368/575
to the lowest terms Answer Choice: (A) 30/25 (B) 16/25 (C) 28/29 (D) 28/19 (E) None of these
Answer: B
If the area of a square with sides of length 8 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters? Answer Choice: (A) 4 (B) 8 (C) 12 (D) 16 (E) 18
Answer: D
When two coins are tossed, Find the probability of getting all tails? Answer Choice: (A) 1/3 (B) 3/4 (C) 1/8 (D) 3/8 (E) P(E) =1/4
Answer: E
The fourth proportional to 5, 8, 15 is: Answer Choice: (A) 20 (B) 22 (C) 24 (D) 21 (E) 23
Answer: C
A committee of three people is to be chosen from four teams of two. What is the number of different committees that can be chosen if no two people from the same team can be selected for the committee? Answer Choice: (A) 20 (B) 22 (C) 26 (D) 30 (E) 32
Answer: E
How many words can be formed by using all letters of the word 'SCOUNDREL' ? Answer Choice: (A) 192870 (B) 324880 (C) 462880 (D) 362880 (E) 123880
Answer: D
A train running at the speed of 70 km/hr crosses a pole in 36 seconds. What is the length of the train? Answer Choice: (A) 700 (B) 770 (C) 707 (D) 710 (E) 720
Answer: A
Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum Q of their ages will be 51, how old is Stephanie ? Answer Choice: (A) 6 (B) 10 (C) 14 (D) 20 (E) 24
Answer: B
If t is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of t ? Answer Choice: (A)  10 (B)  12 (C)  14 (D)  16 (E)  18
Answer: C
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.90 per glass on the first day, what was the price per glass on the second day? Answer Choice: (A) $0.15 (B) $0.20 (C) $0.30 (D) $0.40 (E) $0.6
Answer: E
In a single throw of a die, what is the probability of getting a number greater than 4? Answer Choice: (A) 1/2 (B) 1/3 (C) 2/3 (D) 1/4 (E) None
Answer: B
A data set with a mean of 60 has a standard deviation of 4.5. Which of the following is the smallest number that falls within one standard deviation of the mean? Answer Choice: (A) 55 (B) 56 (C) 59 (D) 63.5 (E) 65
Answer: A
If a, b are the two roots of a quadratic equation such that a + b = 24 and a – b = 8, then the quadratic equation having a and b as its roots is : Answer Choice: (A) x2 + 2x + 8 = 0 (B) x2 - 4x + 8 = 0 (C) x2 - 24x + 128 = 0 (D) 2x2 + 8x + 9 = 0 (E) None of these
Answer: C
A warehouse is labeling computer inventory with 4-digit codes. Each code is to consist of four digits between the numbers 0 and 7. The manager is debating whether to allow any 4-digit codes to have leading zero's before a non-zero number is used. If not allowed, then numbers like0025cannot be used.
The manager wants to measure the magnitude of the number of 4-digit code possibilities that are lost if he disallows the use of leading zero's. How many such codes would be lost? Answer Choice: (A) 7000 (B) 1000 (C) 1011 (D) 1101 (E) 1110
Answer: A
A certain class of students is being divided into teams. The class can either be divided into 10 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. What is the lowest possible number of students in the class? Answer Choice: (A) 6 (B) 36 (C) 120 (D) 60 (E) 72
Answer: C
A bag contains 12 white &18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black? Answer Choice: (A) 31/113 (B) 36/145 (C) 30/117 (D) 31/213 (E) 1/412
Answer: B
If [[x]] = x^2 + 2x + 4, what is the value of [[7]]? Answer Choice: (A) 3 (B) 9 (C) 15 (D) 67 (E) 25
Answer: D
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent? Answer Choice: (A) 18 2/19% (B) 18 2/11% (C) 18 2/91% (D) 18 2/81% (E) 18 2/121%
Answer: B
The price of 5 kilograms of premium fertilizer is the same as the price of 16 kilograms of regular fertilizer. If the price of premium fertilizer is y cents per kilogram more than the price of regular fertilizer, what is the price, in cents, per kilogram of premium fertilizer? Answer Choice: (A) y/30 (B) 5/6*y (C) 6/5*y (D) 5y (E) 16y/11
Answer: E
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 9 (E) 1
Answer: B
Which of the following is greatest? Answer Choice: (A) 1/5 (B) 2/5 (C) 3/5 (D) 4/5 (E) 6/5
Answer: E
A certain debt will be paid in 65 installments from January 1 to December 31 of a certain year. Each of the first 20 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 20 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year? Answer Choice: (A) 443 (B) 455 (C) 465 (D) 468 (E) 475
Answer: B
Circular gears L and R start to rotate at the same time at the same rate. Gear L makes 10 complete revolutions per minute and gear R makes 30 revolutions per minute. How many seconds after the gears start to rotate will gear R have made exactly 6 more revolutions than gear L? Answer Choice: (A) a) 6 (B) b) 8 (C) c) 10 (D) d) 12 (E) e) 18
Answer: E
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum s of all the even integers between 99 and 301? Answer Choice: (A) 10,100 (B) 20,200 (C) 22,650 (D) 40,200 (E) 45,150
Answer: B
Find out the number of ways in which 6 rings of different types can be worn in 3 fingers? Answer Choice: (A) 216 (B) 125 (C) 729 (D) 316 (E) 452
Answer: C
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is? Answer Choice: (A) 91 (B) 87 (C) 90 (D) 17 (E) 19
Answer: C
Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 7? Answer Choice: (A) y = -1/2*x + 3 (B) y = 1/2*x - 7 (C) y = 1/2*x + 3 (D) y = 2x + 3 (E) y = 2x − 3
Answer: B
In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10 kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was : Answer Choice: (A) 10 (B) 27 (C) 87 (D) 23 (E) 93
Answer: A
Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 1/3 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity? Answer Choice: (A) 2/3 (B) 5/6 (C) 7/12 (D) 11/12 (E) 17/24
Answer: C
The sum of two numbers is 73 and their difference is 28. Find the difference between their squares. Answer Choice: (A) 101 (B) 45 (C) 2044 (D) 2048 (E) 2064
Answer: C
A man invested Rs.1552 in a stock at 97 to obtain an income of Rs.128. What is the dividend from the stock? Answer Choice: (A) 4 (B) 8 (C) 6 (D) 10 (E) 12
Answer: B
Krishnakumar, Raghunandan, Chinnan and Aibak had an interesting discussion on the following:
Find the range of real values of x not satisfying even one of the inequalities 6x - 8 > 40 and 9x - 19 > 80" Answer Choice: (A) x greater than 8 (B) x lesser than or equal to 8 (C) x lesser to 8 (D) x greater than or equal to 8 (E) None of these
Answer: C
If x < y < 0, which of the following must be true? Answer Choice: (A) 2x+y is a negative integer (B) 2xy is a negative integer (C) x-y is a positive integer (D) (-x)+ (-y) is positive integer (E) x/y is a negative integer
Answer: D
If x is a positive integer, then the least value of x for which x! is divisible by 10,000 is?
Can someone please explain intuitively what the question is asking? Answer Choice: (A) 5 (B) 9 (C) 12 (D) 15 (E) 20
Answer: E
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
A.
B.
C.
D.
E. Answer Choice: (A) 210 (B) 1050 (C) 25200 (D) 21400 (E) 42800
Answer: C
For any real number x, the operatoris defined as:
(x) = x(2 − x)
If p + 1 =(p + 1), then p = Answer Choice: (A) 5 (B) 0 (C) 1 (D) 2 (E) 3
Answer: C
9 people decided to split the restaurant bill evenly. If the bill was $514.16 dollars, how much money did they 1 cent is the smallest unit? Answer Choice: (A) $514.16 (B) $514.17 (C) $514.18 (D) $514.19 (E) $514.20
Answer: B