loafeihong/math_mmlu_format huggingface dataset:
Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 754. Answer Choice: (A) 122 , 124 ,126, 128 (B) 120 ,122 , 124 ,128 (C) 120 ,121 , 122 ,123 (D) 123 ,125 , 127 ,129 (E) None of these
Answer: A
Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ? Answer Choice: (A) 11/P + 6 (B) 11/P + 9 (C) 11/P + 5 (D) 11/P + 3 (E) 11/P + 1
Answer: A
A camera lens filter kit containing 5 filters sells for $75.50. If the filters are purchased individually, 3 of them are priced at $7.35 each, 3 at $12.05 each, 1 at $12.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually? Answer Choice: (A) 5.35% (B) 6.35% (C) 7.35% (D) 8.35% (E) 9.35%
Answer: B
If the perimeter of a rhombus is 52 cm and one of its
diagonals is 24 cm, then the area of the rhombus is Answer Choice: (A) 100 sq.cm (B) 110 sq.cm (C) 120 sq.cm (D) 130 sq.cm (E) 140 sq.cm
Answer: C
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most Answer Choice: (A) 238 (B) 377 (C) 215 (D) 287 (E) 162
Answer: C
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon? Answer Choice: (A) 180 (B) 345 (C) 234 (D) 488 (E) 234
Answer: A
3/4 of 1/2 of 2/5 of 5100 = ? Answer Choice: (A) 392 (B) 229 (C) 765 (D) 493 (E) 540
Answer: C
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age was five times the age of the son. After 6 years, son's age will be: Answer Choice: (A) 5:2 (B) 7:3 (C) 9:2 (D) 13:4 (E) 3:4
Answer: B
There are three different pipes used to fill a pool: pipe x, pipe y, and pipe z. Pipe x can fill the pool in a days, pipe y in b days, and pipe z in c days, where a > b > c. When all three pipes are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true?
I. d<c
II. d>b
III. c/3<d<a/3 Answer Choice: (A) II (B) I (C) III (D) I&II (E) II &III
Answer: A
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 5: 00 p.m., at what time were there 32 million bacteria in the dish? Answer Choice: (A) 11: 00 a.m. (B) 8: 00 p.m. (C) 6: 00 a.m. (D) 8: 00 a.m. (E) 10: 00 a.m.
Answer: A
If 2 cards are selected at random from the deck of 52 cards then What is the probability of selected cards will be Queen?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit Answer Choice: (A) 12/2652 (B) 14/2652 (C) 2/2652 (D) 4/2652 (E) 8/2652
Answer: A
A money lender lent a total of $1500 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1500, how much did he lend to each of the two customers? Answer Choice: (A) 700; 1100 (B) 1005; 495 (C) 1000; 800 (D) 1200; 800 (E) None of the above
Answer: B
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? Answer Choice: (A) 175 (B) 275 (C) 375 (D) 475 (E) 575
Answer: A
If a farmer sells 15 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 25 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have? Answer Choice: (A) 12 (B) 24 (C) 48 (D) 55 (E) 49
Answer: E
In a competitive examination in state Madhya Pradesh, 4% candidates got selected from the total appeared candidates. State Uttar Pradesh had an equal number of candidates appeared and 9% candidates got selected with 72 more candidates got selected than Madhya Pradesh. what was the number of candidates appeared from each state? Answer Choice: (A) 1440 (B) 1400 (C) 1600 (D) 720 (E) 820
Answer: A
If after 700 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used? Answer Choice: (A) 180 grams (B) 220 grams (C) 250 grams (D) 350 grams (E) 1400 grams
Answer: E
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? Answer Choice: (A) 4 years (B) 8 years (C) 10 years (D) None of these (E) CANNOT BE DETERMINED
Answer: A
The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 35 inclusive. Answer Choice: (A) 288 (B) 364 (C) 410 (D) 424 (E) 450
Answer: A
One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 200cm when it touches the floor on third time. What is the value of the original height? Answer Choice: (A) 80cm (B) 90cm (C) 100cm (D) 120cm (E) 130cm
Answer: A
Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 264. What is their H.C.F.? Answer Choice: (A) 18 (B) 22 (C) 24 (D) 28 (E) 32
Answer: B
In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 4 and that the product of the given number and the sum of its digits is equal to 90, then the number is: Answer Choice: (A) 15 (B) 27 (C) 38 (D) 46 (E) 48
Answer: A
Andrew has a certain number of coins in his pocket. He has four times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket? Answer Choice: (A) 9 (B) 10 (C) 18 (D) 20 (E) 21
Answer: C
If n is the product of the integers from 1 to 12, inclusive, how many different prime factors greater than 1 does n have? Answer Choice: (A) Four (B) Five (C) Six (D) Seven (E) Eight
Answer: B
A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given that there are 11,900 sedans in Anytown, how many motorcycles are there? Answer Choice: (A) 1260 (B) 2100 (C) 3400 (D) 4200 (E) 5200
Answer: C
A thief is spotted by a policeman from a distance of 100metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10km/hr, how far the thief will have run before he is overtaken ? Answer Choice: (A) 400m (B) 1km (C) 500m (D) 450m (E) 650m
Answer: A
A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of his total marks in English. How much does he score in English? Answer Choice: (A) 55 (B) 66 (C) 77 (D) 44 (E) None of these
Answer: B
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 64, how many questions did Student A answer correctly? Answer Choice: (A) 55 (B) 60 (C) 73 (D) 82 (E) 88
Answer: E
Joe is now 26 years older than Ella. If in 12 years Joe will be three times as old as Ella, how old will Joe be in 6 years? Answer Choice: (A) 31 (B) 33 (C) 35 (D) 37 (E) 39
Answer: B
How many words, with or without meaning, can be formed using all letters of the word ORANGE using each letter exactly once? Answer Choice: (A) 700 (B) 720 (C) 740 (D) 760 (E) 780
Answer: B
A, B and C invest in a partnership in the ratio: 7/2,4/3,6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year is Rs.21,600, then what is B's share in the profit? Answer Choice: (A) 2000 (B) 3000 (C) 5000 (D) 4000 (E) 6000
Answer: D
In a certain town, there are nine times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is Answer Choice: (A) 1 to 4 (B) 1 to 3 (C) 1 to 2 (D) 3 to 4 (E) 9 to 10
Answer: E
The total age of A and B is 18 years more than the total age of B and C. C is how many years younger than A.? Answer Choice: (A) 16 (B) 12 (C) 15 (D) 18 (E) 10
Answer: D
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 10000 more than D, what is B's share? Answer Choice: (A) A)82390 (B) B)29000 (C) C)20005 (D) D)23930 (E) E)20000
Answer: E
what is the 10 th term in 1,3,9,15,25,35,-----? Answer Choice: (A) 66 (B) 77 (C) 88 (D) 99 (E) 95
Answer: D
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions? Answer Choice: (A) 11 (B) 10 (C) 28 (D) 27 (E) 36
Answer: E
A fair coin is tossed repeatedly. If heads appears on first 3 tosses what is the probability that tail appears on the next two tosses? Answer Choice: (A) 1/6 (B) 1/5 (C) 1/3 (D) 1/4 (E) 1/6
Answer: D
A train 150 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ? Answer Choice: (A) 5 seconds (B) 6 seconds (C) 9 seconds (D) 8 seconds (E) 7 seconds
Answer: C
Evaluate 35% of 450 + 45% of 350 Answer Choice: (A) 232 (B) 242 (C) 315 (D) 262 (E) 272
Answer: C
In how many ways letters of the word RESPECT be arranged? Answer Choice: (A) 2310 (B) 2536 (C) 3260 (D) 2520 (E) 1450
Answer: D
15 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³) Answer Choice: (A) 6 (B) 8 (C) 10 (D) 20 (E) 40
Answer: C
For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 9, 8, 8, 7, 9, 10, 6, 6, 8 and 7. By what percent did she fall short of her goal? Answer Choice: (A)  2.5% (B)  5% (C)  8% (D)  10% (E)  12%
Answer: A
Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of z feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour? Answer Choice: (A) 5,280(x/z) (B) 5,280(y/x) (C) 5,280(xy) (D) 5,280/(xy) (E) (xy)/5,280
Answer: A
A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is: Answer Choice: (A) no profit, no loss (B) 20% profit (C) less than 20% profit (D) more than 20% profit (E) None
Answer: D
if integer N has p factors ; how many factors will 3N have ? Answer Choice: (A) p (B) 2p (C) P+1 (D) 2p+1 (E) Cannot be determined
Answer: E
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was Answer Choice: (A) 11 years (B) 12 years (C) 14 years (D) 15 years (E) 16 years
Answer: C
By selling 10 pens for a rupee a woman loses 18%. How many for a rupee should he sell in order to gain 30%? Answer Choice: (A) 12 (B) 14 (C) 45 (D) 6 (E) 7
Answer: D
Working together, Jose and Jane can complete an assigned task in 20 days. However, if Jose worked alone and completed half the work and then Jane takes over and completes the second half, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose. Answer Choice: (A) 25 days (B) 30 days (C) 60 days (D) 65 days (E) 36 days
Answer: C
In a 100 m race, A runs at 8km per hour. If A gives B a start of 7 m and still him by 15 seconds, what is the speed of B ? Answer Choice: (A) 5.58 km/hr. (B) 5.06 km/hr. (C) 5.76 km/hr. (D) 6.76 km/hr. (E) 5.72 km/hr.
Answer: A
If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction? Answer Choice: (A) 1/12 (B) 1/16 (C) 1/19 (D) 1/14 (E) 1/13
Answer: A
Two goods train each 500 m long are running in opposite directions so parallel tracks.Their speeds are 45 kmph and 30 kmph respectively.Find the time taken by the slower train to pass the driver of the first one Answer Choice: (A) 12 sec (B) 24 sec (C) 48 sec (D) 60 sec (E) 65 sec
Answer: B
Of the 200 math majors at a certain university, 50 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer? Answer Choice: (A)  15 (B)  20 (C)  30 (D)  45 (E)  60
Answer: A
A box contains 25 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is Answer Choice: (A) 3/10 (B) 7/19 (C) 12/19 (D) 21/95 (E) None
Answer: A
A certain team consists of 3 professors and 5 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.) Answer Choice: (A) 34 (B) 38 (C) 42 (D) 46 (E) 50
Answer: D
A biker covered half the distance between two towns in 2 hr 30 min. After that he increased his speed by 2 km/hr. He covered the second half of the distance in 2 hr 20 min. Find the distance between the two towns and the initial speed of the biker. Answer Choice: (A) 140 (B) 120 (C) 130 (D) 150 (E) 160
Answer: A
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2? Answer Choice: (A) Rs.48 (B) Rs.64 (C) Rs.44 (D) Rs.46 (E) Rs.34
Answer: C
There are 1000 students in a school and among them 30 % of them attends chess class. 10% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends? Answer Choice: (A) 1 (B) 10 (C) 100 (D) 30 (E) 20
Answer: D
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 76, how many questions did Student A answer correctly? Answer Choice: (A) 92 (B) 60 (C) 73 (D) 82 (E) 91
Answer: A
If x + 4 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers? Answer Choice: (A)  -2 and 10 (B)  -3 and 4 (C)  2 and 7 (D)  3 and 4 (E)  3 and 10
Answer: A
Of 30 applicants for a job, 12 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree? Answer Choice: (A) 14 (B) 13 (C) 9 (D) 7 (E) 5
Answer: D
X and Y invested in abusiness. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is : Answer Choice: (A) 35,000 (B) 40,000 (C) 50,000 (D) 60,000 (E) None
Answer: D
Sabrina is contemplating a job switch. She is thinking of leaving her job paying $85,000 per year to accept a sales job paying $45,000 per year plus 30 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lose money because of the job change? Answer Choice: (A) 57 (B) 177 (C) 178 (D) 89 (E) 378
Answer: D
If an object travels at two feet per second, how many feet does it travel in one hour? Answer Choice: (A) 3488 (B) 3778 (C) 7200 (D) 1800 (E) 2881
Answer: C
The series of differences between consecutive prime numbers is represented as dp1, dp2, dp3, .... dpn .Whare dp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? Answer Choice: (A) 81 (B) 82 (C) 83 (D) 87 (E) 86
Answer: A
The triplicate ratio of 1:3 is? Answer Choice: (A) 1:27 (B) 1:8 (C) 1:3 (D) 1:1 (E) 1:2
Answer: A
25.25/3000 is equal to: Answer Choice: (A) 0.008416667 (B) 0.110773333 (C) 0.12526234 (D) 0.01072333 (E) 0.12725002
Answer: A
80 x 100 + 80 x 11 = ? Answer Choice: (A) 7500 (B) 8880 (C) 6200 (D) 5200 (E) None of them
Answer: B
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 190 games will be played during the tournament. What is the number of participants? Answer Choice: (A) 14 (B) 16 (C) 18 (D) 20 (E) 22
Answer: D
If a certain toy store's revenue in November was 2/3 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January? Answer Choice: (A)  1/4 (B)  1/2 (C)  2/3 (D)  2 (E)  3
Answer: E
Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255 Answer Choice: (A) 20 (B) 24 (C) 27 (D) 30 (E) 35
Answer: C
How many multiples of 100 are there between 100 and 1000 (both are inclusive)? Answer Choice: (A) 2 (B) 8 (C) 4 (D) 5 (E) 10
Answer: E
A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 40 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C? Answer Choice: (A) 40 (B) 45 (C) 50 (D) 55 (E) 67.5
Answer: E
If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true?
1. Line L does pass the origin.
2.Line L must passes through the first quadrant.
3.The slope of L is negative Answer Choice: (A) I only (B) II only (C) III only (D) I and II (E) II and III
Answer: C
Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 90,000 different outfits, then for how many garments does Dave have exactly five choices? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: E
Which of the following fractions is at least twice Smaller than 13/50? Answer Choice: (A) 2/5 (B) 11/34 (C) 9/20 (D) 8/21 (E) 43/99
Answer: C
Bhatia, Ashtikar and Singh begin to play with Rs 70 each. At the end the ratio of the amounts left
with Ashtikar and Singh is 1 : 2 and of those with Singh and Bhatia is 4 : 1. What is Singh's gain
(in Rs)? Answer Choice: (A) 40 (B) 45 (C) 48 (D) 50 (E) 53
Answer: D
If a number between 10 and 20 (inclusive) at random. What is the probability that the tens digit is greater than ones digit? Answer Choice: (A) 2/11 (B) 1041 (C) 14/41 (D) 27/41 (E) 11/41
Answer: A
If k is an integer and 2 < k < 8, for how many different values of k is there a triangle with sides of lengths 2, 6, and k? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: D
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: Answer Choice: (A) 32 (B) 24 (C) 12 (D) 7 (E) 45
Answer: B
If circles x and y have the same area and circle x has a circumference of 20π, half of the radius of circle y is: Answer Choice: (A) 16 (B) 5 (C) 4 (D) 2 (E) 1
Answer: B
If the radius of a circle is decreased 60%, what happens to the area? Answer Choice: (A) 10% decrease (B) 20% decrease (C) 36% decrease (D) 84% decrease (E) 50% decrease
Answer: D
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is? Answer Choice: (A) 6:5 (B) 6:3 (C) 4:4 (D) 4:8 (E) 4:1
Answer: B
Let n be divided by 5,and the remainder obtained is 4. What will be the remainder when 5 divided by 2n? Answer Choice: (A) 2 (B) 4 (C) 1 (D) 3 (E) 5
Answer: D
The difference between a number and its two-fifth is 510. What is 15% of that number? Answer Choice: (A) 152.01 (B) 85 (C) 76 (D) 168.2 (E) 127.5
Answer: E
If S is the sum of reciprocals of a list of consecutive integers from 15 to 24, inclusive, S is approximately equal to Answer Choice: (A) 0.1 (B) 0.2 (C) 0.3 (D) 0.4 (E) 0.5
Answer: E
An article is bought for Rs.800 and sold for Rs.600, find the loss percent? Answer Choice: (A) 18 2/3% (B) 16 7/3% (C) 16 2/8% (D) 25% (E) 76 2/3%
Answer: D
At what rate percent on simple interest will a sum of money double itself in 50 years? Answer Choice: (A) 3 1/3% (B) 3 1/9% (C) 3 9/3% (D) 2% (E) 3 6/3%
Answer: D
In a zoo, the ratio of the number of cheetahs to the number 4 then what is the increase in the number of pandas? Answer Choice: (A)  2 (B)  12 (C)  5 (D)  10 (E)  15
Answer: B
A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 35 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans? Answer Choice: (A) 65% (B) 70% (C) 75% (D) 89% (E) 95%
Answer: D
In a 1200 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ? Answer Choice: (A) 100 sec. (B) 50 sec (C) 60 sec (D) Data not sufficient (E) None of these
Answer: C
9823 + x = 13200, then x is ? Answer Choice: (A) 3327 (B) 3237 (C) 3337 (D) 3377 (E) None of these
Answer: D
If 8 women can color 400 m long cloth in 5 days, then 10 women can color 500 m long cloth in? Answer Choice: (A) 6 days (B) 4 days (C) 5 days (D) 15 days (E) 10 days
Answer: C
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 70% marks is Answer Choice: (A) 3 (B) 2 (C) 1 (D) 4 (E) 5
Answer: C
If 10 % of an electricity bill is deducted, 45 is still to be paid. How much was the bill? Answer Choice: (A) 50 (B) 60 (C) 55 (D) 70 (E) None of these
Answer: A
A three-person committee must be chosen from a group of 8 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee? Answer Choice: (A) A)70 (B) B)696 (C) C)630 (D) D)1,260 (E) E)1,980
Answer: B
Lorna invests $6000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate? Answer Choice: (A) $160 (B) $1,600 (C) $2,200 (D) $4,400 (E) $5,840
Answer: B
If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be: Answer Choice: (A) 3 (B) 1 (C) 2 (D) 5 (E) 4
Answer: A
Working together, Tim and Tom can type 12 pages in one hour. If they would be able to type 15 pages in one hour if Tom increases his typing speed by 30%, what is the ratio of Tom's normal typing speed to that of Tim? Answer Choice: (A) 1/5 (B) 5/1 (C) 4/1 (D) 1/4 (E) 1/3
Answer: B
If |t|=−t, which of the following must be true? Answer Choice: (A) x≥0 (B) t≤0 (C) x2>x (D) x3<0 (E) 2x<x
Answer: B