loafeihong/math_mmlu_format huggingface dataset:
Carol is six times Alice’s age but only twice as old as Betty. Alice is sixty years younger than Carol. How old is Betty? Answer Choice: (A) 46 (B) 39 (C) 42 (D) 48 (E) 36
Answer: E
Which of the following could be the sum of the reciprocals of two prime numbers? Answer Choice: (A) 7/13 (B) 11/12 (C) 11/30 (D) 23/50 (E) 18/77
Answer: E
John found that the average of 15 numbers is 40. If 15 is added to each number then the mean of number is? Answer Choice: (A) 55 (B) 45 (C) 65 (D) 78 (E) 64
Answer: A
If A,B,C are three integers and AB+C is even ; which of the following must be true? A)C is Odd B)B is Odd C)AB is Odd Answer Choice: (A) I only (B) None of the above (C) II only (D) III only (E) I,III only
Answer: B
In a group of 15 people, 8 read English, 7 read French while 3 of them read none of these two. How many of them read French and English both? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 7 (E) 5
Answer: B
The average of first 9 odd numbers is? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: E
The maximum number of students among them 100 pens and 50 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils? Answer Choice: (A) 50 (B) 75 (C) 69 (D) 79 (E) 82
Answer: A
A can give B 70 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race? Answer Choice: (A) 139.78 (B) 139.13 (C) 139.22 (D) 111.0 (E) 111.12
Answer: A
A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $20,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set? Answer Choice: (A)  $215,000 (B)  $365,000 (C)  $115,000 (D)  $175,000 (E)  $160,000
Answer: D
A and B invested Rs.4000 and Rs.5000 and they get 20% profit at the end of year. Then share of B is Answer Choice: (A) Rs.1200 (B) Rs.1000 (C) Rs.1300 (D) Rs.1500 (E) Rs.1800
Answer: B
A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes. Answer Choice: (A) 30 (B) 40 (C) 10 (D) 20 (E) 50
Answer: B
A user type a content on 20 sheets, each sheet consist of 55 lines, and each line can have 65 characters. The content is again retyped on a record which is having 71 pages of 65 lines and each line can take 70 characters . How many lines of a record will be free? Answer Choice: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70
Answer: C
The length of a rectangle is doubled while its width is tripled. What is the % change in area? Answer Choice: (A) 250% (B) 300% (C) 500% (D) 650% (E) 700%
Answer: C
If
GOOD is coded 164,
BAD is coded 21,
UGLY is coded 260,
then JUMP is coded as ? Answer Choice: (A) 230 (B) 240 (C) 250 (D) 260 (E) 270
Answer: B
Which letter will come exactly between the tenth letter from your left and the seventh letter from your right. Without changing any order in the original from the alphabet? Answer Choice: (A) o (B) p (C) e (D) r (E) s
Answer: A
If x and y are positive integers, find which of the following CANNOT be the greatest common divisor of 25x and 20y? Answer Choice: (A) 5 (B) 5(x-y) (C) 20x (D) 20y (E) 35x
Answer: C
A club wants to mix 25 pounds of candy worth $8.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used? Answer Choice: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70
Answer: C
A literature panel is to select 4 panelists from a selection of 6 female and 3 male experts. What is the probability that the selected panelists will comprise of exactly 2 males? Answer Choice: (A) 4/9 (B) 2/5 (C) 3/7 (D) 1/2 (E) 5/14
Answer: E
The speed of a boat in upstream is 45 kmph and the speed of the boat downstream is 60 kmph. Find the speed of the boat in still water and the speed of the stream? Answer Choice: (A) 7.5 kmph (B) 17.5 kmph (C) 12.5 kmph (D) 5.5 kmph (E) 8.5 kmph
Answer: A
A function f(x) is said to reflect onitself if, y = f(x) and x = f(y). Which of the following function reflects on itself? Answer Choice: (A) f(x) = (4x + 3) / (3x - 9) (B) f(x) = (4x + 3) / (3x - 2) (C) f(x) = (4x + 3) / (3x - 9) (D) f(x) = (4x + 3) / (3x - 1) (E) f(x) = (4x + 3) / (3x - 4)
Answer: E
if (x + y)/(2x + y) = 4/7, then find (2x + y)/(3x + y) ? Answer Choice: (A) 5/6 (B) 8/9 (C) 4/10 (D) 7/10 (E) 9/10
Answer: D
A tempo, while travelling at 70 kmph, uses 30% more petrol than it uses while travelling at 50 kmph for travelling a certain distance. Using one litre of petrol, it can travel 19.5 km at 50 kmph. How far can the tempo travel on 10 litres of petrol at a speed of 70 kmph? Answer Choice: (A) 150 kms (B) 160 kms (C) 170 kms (D) 180 kms (E) 190 kms
Answer: A
The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream? Answer Choice: (A) 10 kmph (B) 76 kmph (C) 12 kmph (D) 35 kmph (E) 15 kmph
Answer: D
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is? Answer Choice: (A) 6 kmph (B) 7 kmph (C) 8.5 kmph (D) 8 kmph (E) 9 kmph
Answer: A
If x is an integer and 2.134 × 10^x is less than 210,000, what is the greatest possible value for x? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3
Answer: D
Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation? Answer Choice: (A) $21,000 (B) $18,000 (C) $15,000 (D) $ 4,500 (E) $4,000
Answer: C
Antony has s pairs of shoes, which is 1/2 as many as Steve and thrice as many as Stephen. In terms of s, how many pairs of shoes do the three of them have combined? Answer Choice: (A) 14/3*s (B) 10/3*s (C) 4s (D) 5s (E) 11/3*s
Answer: B
The greatest number of four digits which is divisible by 16,24,40 and 72 is: Answer Choice: (A) 9020 (B) 9400 (C) 9360 (D) 9600 (E) 9740
Answer: C
A man can row 4 kmph in still water. When the river is running at 1.8 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man? Answer Choice: (A) 7.13 (B) 6.19 (C) 4.12 (D) 3.19 (E) 4.21
Answer: B
John started a business investing Rs. 70,000. Rose joined him after six months with an amount of Rs.1,05,000 and Mary joined them with Rs. 1.4lakhs after another 6 months. The amount of profit earnedshould be distributedin what ratio among John, Rose and Mary respectively, 3years after John started the business? Answer Choice: (A) 10 : 11 : 13 (B) 9 : 15 : 16 (C) 12 : 15 : 16 (D) 14 : 15 : 18 (E) 12 : 15 : 20
Answer: C
A man complete a journey in 10 hrs. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km? Answer Choice: (A) 176 km (B) 224 km (C) 168 km (D) 197 km (E) 258 km
Answer: B
In how many ways can 4 arts and 4 science students be arranged in a row so that the arts and the science students are placed alternately? Answer Choice: (A) 288 (B) 185 (C) 326 (D) 576 (E) 360*120
Answer: D
The variables a and b are non-zero integers V. If a = 2b^3/c, what happens to c when a is halved and b is doubled? Answer Choice: (A) c is not changed. (B) c is halved. (C) c is doubled. (D) c is multiplied by 4. (E) c is multiplied by 16.
Answer: E
The residents of the town R participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours that Pat, a resident of town R, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choice: (A) - 30 (B) - 20 (C) - 18 (D) - 12 (E) - 6
Answer: E
How many different arrangements of A, B, , D, and E are possible where A is not adjacent to B and D is not adjacent to E? Answer Choice: (A) 96 (B) 48 (C) 8 (D) 30 (E) 1
Answer: C
Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 10 minutes 8 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister? Answer Choice: (A)  3% (B)  5% (C)  8% (D)  10% (E)  12%
Answer: B
60 + 5 * 12 / (180/3) = ? Answer Choice: (A) 23 (B) 78 (C) 27 (D) 61 (E) 81
Answer: D
504 can be expressed as a product of primes as Answer Choice: (A) 2 × 2 × 3 × 3 × 7 × 7 (B) 2 × 3 × 3 × 3 × 7 × 7 (C) 2 × 2 × 2 × 3 × 3 × 7 (D) 2 × 3 × 3 × 3 × 3 × 7 (E) None of these
Answer: C
A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is : Answer Choice: (A) 70 m (B) 80 m (C) 90 m (D) 100 m (E) None
Answer: C
Four-fifths of three-eighths of a number is 24. What is 250 per cent of that number? Answer Choice: (A) 100 (B) 160 (C) 120 (D) 200 (E) None of these
Answer: D
If x is an integer and 2.134 × 10^x is less than 2,100,000, what is the greatest possible value for x? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3
Answer: C
A can do a piece of work in 8 days which B can do in 12 days. B worked at it for 9 days. A can finish the remaining work in ? Answer Choice: (A) 2 days (B) 5 days (C) 6 days (D) 7 days (E) 11 days
Answer: A
You enter a weight loss challenge game and manage to lose 13% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in? Answer Choice: (A) 13% (B) 9.22% (C) 11.26% (D) 14% (E) 12%
Answer: C
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 7 p.c? Answer Choice: (A) 38028 (B) 38000 (C) 37200 (D) 38128 (E) 38982
Answer: C
What is the sum of the greatest common factor and the lowest common multiple of 48 and 72 Answer Choice: (A) 126 (B) 184 (C) 168 (D) 154 (E) 186
Answer: C
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.300 when the rate to profit rises from 5 to 7 percent. Find the Capital of B? Answer Choice: (A) 3750 (B) 7799 (C) 2500 (D) 2772 (E) 2912
Answer: A
In the rectangular coordinate system, what is the area of triangle CDE with points
C=(3,7)
D=(4,4)
E=(1,1) Answer Choice: (A) 5 (B) 6 (C) 7 (D) 6.5 (E) 5.5
Answer: B
If the true discount on a sum due 2 years hence at 14% per annum be Rs. 168, the sum due is : Answer Choice: (A) Rs. 768 (B) Rs. 968 (C) Rs. 1960 (D) Rs. 2400 (E) None
Answer: A
What is the value of 27^2 + 28^2 + 29^2 + 30^2 + 31^2 + 32^2 + 33^2 ? Answer Choice: (A) 6298 (B) 6308 (C) 6318 (D) 6328 (E) 6338
Answer: D
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (6, 0), (0, -3.5), (-6, 0)? Answer Choice: (A) 42 (B) 56 (C) 88 (D) 112 (E) 116
Answer: A
In a game of 80 points; A can give B 10 points and C 15 points. Then how many points B can give C in a game of 70 ? Answer Choice: (A) can give C 1 points (B) can give C 4 points (C) can give C 2 points (D) can give C 5 points (E) can give C 8 points
Answer: D
Rose is thrice as good as workman as Jerry and therefore is able to finish a job in 60 days less than Jerry. if theu work together in how many days they will complete? Answer Choice: (A) 21 3/4 (B) 22 1/2 (C) 23 4/5 (D) 25 1/6 (E) 27 3/5
Answer: B
In a certain company 20% of the men and 40% of the women attended the annual company picnic.If 50% of all the employees are men .What % of all the employee went to the picnic? Answer Choice: (A) 30% (B) 34% (C) 35% (D) 36% (E) 37%
Answer: A
TIM has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If TIM needs to pay exactly $128, what is the least number of bills he will need to use? Answer Choice: (A) 68 (B) 66 (C) 565 (D) 16 (E) 35
Answer: D
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%? Answer Choice: (A) 600 (B) 882 (C) 772 (D) 662 (E) 521
Answer: A
Professor absentminded has a very peculiar problem, in that he cannot remember numbers larger than 15. However, he tells his wife, I can remember any number up to 100 by remembering the three numbers obtained as remainders when the number is divided by 3, 5 and 7 respectively. For example (2,2,3) is 17. Professor remembers that he had (1,1,6) rupees in the purse, and he paid (2,0,6) rupees to the servant. How much money is left in the purse? Answer Choice: (A) 56 (B) 57 (C) 58 (D) 59 (E) 60
Answer: A
Sanoop bought 8 t-shirts at an average price (arithmetic mean) of Rs.526. If Sanoop returned 4 t-shirts to the retailer, and the average price of the remaining t-shirts was Rs.505, then what is the average price, of the three returned t-shirts? Answer Choice: (A) 560 (B) 561 (C) 562 (D) 563 (E) 547
Answer: E
In a group of 60 people, 35 have visited Iceland and 23 have visited Norway. If 31 people have visited both Iceland and Norway, how many people have visited neither country? Answer Choice: (A) 30 (B) 31 (C) 32 (D) 33 (E) 34
Answer: D
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5565, what is the length of the plot in metres? Answer Choice: (A) 333 (B) 200 (C) 288 (D) 210 (E) 1999
Answer: D
A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 12 days before the completion of the work. In how many days was the work completed? Answer Choice: (A) 13 days (B) 16 days (C) 18 days (D) 11 days (E) 38 days
Answer: A
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 245 (B) 726 (C) 566 (D) 268 (E) 261
Answer: A
What is the cost painting the two adjacent walls of a hall at Rs. 5 per m2 which has no windows or doors?
I.	The area of the hall is 24 sq. m.
II.	The breadth, length and height of the hall are in the ratio of 4 : 6 : 5 respectively.
III.	Area of one wall is 30 sq. m. Answer Choice: (A) I only (B) II only (C) III only (D) Either I or III (E) All I, II and III are required.
Answer: C
Man, woman and a boy finish work together in 6 days. Man alone takes 10 days; woman alone takes 24 days then how many days boy alone will take to do that work? Answer Choice: (A) 20 days (B) 30 days (C) 40 days (D) 50 days (E) 60 days
Answer: C
The length of the bridge, which a train 160 m long and traveling at 45 km/hr can cross in 30 sec is? Answer Choice: (A) 377 (B) 367 (C) 237 (D) 215 (E) 267
Answer: D
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 17,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263.
What is the difference between the areas of Russia and China? Answer Choice: (A) 5,476,811 kilometers squared (B) 7,500,148 kilometers squared (C) 9,843,123 kilometers squared (D) 1,878,965 kilometers squared (E) 4,787,900 kilometers squared
Answer: B
The greatest possible length which can be used to measure exactly the length 3m, 5m 30cm, 4 m is Answer Choice: (A) 10 (B) 27 (C) 35 (D) 87 (E) 98
Answer: A
Each week, Harry is paid x dollars per hour for the first 21 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ? Answer Choice: (A) 35 (B) 36 (C) 37 (D) 38 (E) 39
Answer: A
s is a positive integer and multiple of 2; p = 4^s, what is the remainder when p is divided by 10? Answer Choice: (A) 10 (B) 6 (C) 4 (D) 0 (E) It Cannot Be Determined
Answer: B
If a survey shows that 28 citizens out of a sample of 200 support a particular Senate bill, what percent of the sample does not support the bill? Answer Choice: (A) 56% (B) 64% (C) 72% (D) 82% (E) 86%
Answer: E
A company consists of 5 senior and 3 junior staff officers. If a committee is created with 2 senior and 2 junior staff officers, in how many ways can the committee be formed? Answer Choice: (A)  12 (B)  30 (C)  45 (D)  80 (E)  200
Answer: B
A briefcase has a number-lock system containing a combination of 3 digits (Each digit can be of numbers 0 to 8). If the correct combination is unknown, how much maximum time would be required to open the bag if each “trial” of combination takes 3 seconds? Answer Choice: (A) 36.45 minutes (B) 36.47 minutes (C) 36.41 minutes (D) 36.42 minutes (E) 36.65 minutes
Answer: A
Shyam walks 5 km towards East and then turns left and walks 6 km. Again he turns right and walks 9 km. Finally he turns to his right and walks 6 km. How far is he from the starting point? Answer Choice: (A) 26 km (B) 21 km (C) 14 km (D) 9 km (E) 19 km
Answer: C
Lalasa, Bhavani and Geetha has bought items of Rs. 4000, Rs. 12000 and Rs. 6000 respectively. Addition to it, Bhavani has spent Rs. 2000 to buy sunglasses. The difference between the money spent by A and C is? Answer Choice: (A) 800 (B) 650 (C) 450 (D) 400 (E) 680
Answer: D
The probability that A speaks truth is 4/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact? Answer Choice: (A) 19/35 (B) 19/37 (C) 19/39 (D) 19/33 (E) 19/31
Answer: A
1/(2-√3)=? Answer Choice: (A) 9+4√5 (B) 9-4√5 (C) 9+2√5 (D) 2+√3 (E) 4+9√5
Answer: D
If the area of a circle is 36pi square feet, find its circumference. Answer Choice: (A) 65 pi feet (B) 43 pi feet (C) 12 pi feet (D) 18 pi feet (E) 64 pi feet
Answer: C
A can do a job in 45 days and B can do it in 30 days. A and B working together will finish four times the amount of work in ------- days? Answer Choice: (A) 30days (B) 45 days (C) 80 days (D) 72 1/2 days (E) 72 days
Answer: E
What is the smallest number by which 2880 must be divided in order to make it into a perfect square ? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: C
An art gallery has only paintings and sculptures. Currently, 1/3 of the pieces of art are displayed, and 1/6 of the pieces on display are sculptures. If 1/3 of the pieces not on display are paintings, and 1200 sculptures are not on display, how many pieces of art does the gallery have? Answer Choice: (A) 360 (B) 2700 (C) 540 (D) 640 (E) 720
Answer: B
What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x Answer Choice: (A) 2 (B) 3 (C) 5 (D) 6 (E) 8
Answer: C
In a group of 90 students, 36 are taking History, and 32 are taking Statistics. If 57 students are taking History or Statistics or both, then how many students are taking History but not Statistics? Answer Choice: (A) 9 (B) 19 (C) 25 (D) 27 (E) 31
Answer: C
A and B began business with Rs.7000 and Rs.15000 after 6 months, A advances Rs.3000 and B withdraws Rs.5000. At the end of the year, their profits amounted to Rs.2940 find the share of A and B respectively. Answer Choice: (A) 1100, 1750 (B) 1140, 1800 (C) 940, 2000 (D) 1190, 1750 (E) 1000: 1690
Answer: D
All the milk in container A which was filled to its brim was poured into two containers B and C. The quantity of milk in container B was 62.5% less than the capacity of container A. If 150 liters was now transferred from C to B, then both the containers would have equal quantities of milk. What was the initial quantity of milk in container A? Answer Choice: (A) 1200 (B) 1723 (C) 1129 (D) 2613 (E) 1372
Answer: A
Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 60 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 80 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work? Answer Choice: (A) 20 (B) 34 (C) 58 (D) 40 (E) 46
Answer: C
Which of the following numbers is the biggest => [-3/7 , -7/8 , -9/10 , -12/13 , -34/35] Answer Choice: (A) A)-3/7 (B) B)-7/8 (C) C)-9/10 (D) D)-12/13 (E) E)-34/35
Answer: A
If 15 students in a class average 75% on an exam and 10 students average 90% on the same exam, what is the average in percent for all 25 students? Answer Choice: (A) 80% (B) 81% (C) 82% (D) 83% (E) 84%
Answer: B
The bus that travels from St. Louis to Chicago and back comes to St. Louis every 2 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 3 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again? Answer Choice: (A) 16:00. (B) 18:00. (C) 20:00. (D) 22:00. (E) 24:00.
Answer: B
If a is Negative integers and b is positive integers and a ≠ 0 which of the following equal 0 ? Answer Choice: (A) a-b (B) a^2+b^2 (C) a*b (D) a/b (E) a^2-b^2
Answer: E
The sum of three consecutive even numbers is 63, Find the last one ? Answer Choice: (A) 26 (B) 24 (C) 21 (D) 23 (E) 19
Answer: D
If difference between compound interest and simple interest on a sum at 5% P.a. for 2 years is Rs.60, then what is the sum? Answer Choice: (A) Rs.8000 (B) Rs.4000 (C) Rs.5000 (D) Rs.6000 (E) Rs.24000
Answer: E
In how many no. between 10 and 20 exactly Two of the digits is 1? Answer Choice: (A) 25 (B) 35 (C) 10 (D) 1 (E) 15
Answer: D
The sum of the two numbers is 11 and their product is 24. What is the sum of the reciprocals of these numbers ? Answer Choice: (A) 11/24 (B) 11/25 (C) 13 (D) 13/15 (E) None
Answer: A
A car covers a distance of 1932 km in 7 hours. Find its speed? Answer Choice: (A) 104 (B) 288 (C) 271 (D) 276 (E) 128
Answer: D
If point A coordinates are (-4, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C. Answer Choice: (A) (-2, - 2/3) (B) (2, -2/3) (C) (2/3, -2) (D) (0, 2) (E) (2, 2/3)
Answer: A
Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $4 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ? Answer Choice: (A) 8n + 2 (B) 8n + 4 (C) 9n + 2 (D) 9n + 3 (E) 9n + 4
Answer: D
Mr. Hanson has a pool of money from which to give out Christmas bonuses to his 5 employees. He wants all his employees to have identical bonuses, but when he divides them out, he finds he has 2 dollars left over, as the payroll system will only accept whole dollar amounts. The next Christmas, Mr. Hanson discovers the pool for the bonuses is 3 times the size. This time, how much money will be left over? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: B
In a drawer of shirts 8 are blue, 6 are green and 4 are magenta. If Mason draws 2 shirts at random, what is the probability E at least one of the shirts he draws will be blue? Answer Choice: (A) 25/153 (B) 28/153 (C) 5/17 (D) E=4/9 (E) E=12/17
Answer: E
Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations L of project assignments are possible? Answer Choice: (A) 252 (B) 1,680 (C) 2,340 (D) 362,880 (E) 592,704
Answer: B
A lady grows cabbage in her garden that is in the shape of a square. Each cabbage takes 1 square foot of area in her garden. This year, she has increased her output by 127 cabbages when compared to last year. The shape of the area used for growing the cabbage has remained a square in both these years. How many cabbages did she produce this year? Answer Choice: (A) 4096 (B) 4098 (C) 5000 (D) 5096 (E) Cannot be determined
Answer: A
The total age of A and B is 13 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) 20 (E) 13
Answer: E