loafeihong/math_mmlu_format huggingface dataset:
This year, MBB Consulting fired 9% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction? Answer Choice: (A) 98.5% (B) 100.1% (C) 102.8% (D) 104.5% (E) 105.0%
Answer: B
If the cost price of 50 articles is equal to the selling price of 25 articles, then the gain or loss percent is? Answer Choice: (A) 16 (B) 127 (C) 12 (D) 18 (E) 100
Answer: E
96% of the population of a village is 23040. The total population of the village is ? Answer Choice: (A) 32256 (B) 24000 (C) 24936 (D) 25640 (E) None
Answer: B
If the positive integer x is a multiple of 1 and the positive integer y is a multiple of 7, then xy must be a multiple of which of the following?
I. 7
II. 2
III. 3 Answer Choice: (A) II only (B) I and II only (C) I only (D) II and III only (E) I, II, and III
Answer: C
If the simple interest on a certain sum of money for 5 years is one–fifth of the sum, then the rate of interest per annum is Answer Choice: (A) 4% (B) 7% (C) 6% (D) 4% (E) 3%
Answer: D
Ayesha's father was 30 years of age when she was born while her mother was 22 years old when her brother four years younger to her was born. What is the difference between the ages of her parents? Answer Choice: (A) 16 (B) 14 (C) 15 (D) 12 (E) 2
Answer: D
How much time will a train of length 250 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction? Answer Choice: (A) 55 (B) 99 (C) 88 (D) 76 (E) 12
Answer: A
Beth received 2/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 1/2 of the votes cast? Answer Choice: (A) 1/6 (B) 2/7 (C) 3/10 (D) 7/20 (E) 1/2
Answer: A
60, 67, 63, 15, 61, 10, 15
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list? Answer Choice: (A) 25 (B) 36 (C) 53 (D) 60 (E) 62
Answer: C
A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current. Answer Choice: (A) 8 kmph (B) 3 kmph (C) 6 kmph (D) 4 kmph (E) None of these
Answer: D
What is the smallest positive integer x such that 120-x is the cube of a positive integer? Answer Choice: (A) 10 (B) 6 (C) 5 (D) 0 (E) 1
Answer: C
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is? Answer Choice: (A) 292 (B) 237 (C) 200 (D) 299 (E) 232
Answer: C
20% of the students in a class failed in an examination. Out of the students who failed, 75% were males. Male students who failed constitute 90% of the economically poor students in the class. What is the ratio of the number of economically poor students to the number of students in the class? Answer Choice: (A) 1:4 (B) 1:5 (C) 5:6 (D) 1:6 (E) None of these
Answer: D
A 16% stock yielding 8% is quoted at? Answer Choice: (A) 165 (B) 170 (C) 175 (D) 180 (E) 200
Answer: E
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 19,098,242, 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) 9,500,148 kilometers squared (C) 9,843,123 kilometers squared (D) 1,878,965 kilometers squared (E) 4,787,900 kilometers squared
Answer: B
a and b are two bus stations 400 km apart. if two separate buses depart from both stations and travel towards each other, at what time do they meet each other given that the first bus left at 8 am and travels at a speed of 70 km/hr while the second bus left at 9 am and travels at a speed of 40 km/hr. Answer Choice: (A) 12 p.m (B) 2 p.m (C) 1 p.m (D) 10 p.m (E) 2.20 p.m
Answer: A
Solution A is 20% barium and Solution B is 80% barium. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% barium solution? Answer Choice: (A) 6:4 (B) 6:14 (C) 4:4 (D) 4:6 (E) 3:7
Answer: C
If a coin is tossed twice, what is the probability that the coin lands on heads on both tosses? Answer Choice: (A) 1/6 (B) 1/3 (C) 1/4 (D) 1/2 (E) 1
Answer: C
A bag is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the bag, how many coins are there in that bag? Answer Choice: (A) 30 (B) 35 (C) 40 (D) 42 (E) 80
Answer: E
Seven years ago the average age of a family of 2 members was 23 years. A child has been born. due to Which the average age of the family is 23 years today. What is the present age of the child? Answer Choice: (A) 35years (B) 32years (C) 30years (D) 25years (E) 20years
Answer: B
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.14000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is Answer Choice: (A) 20 (B) 21 (C) 22 (D) 23 (E) 28
Answer: E
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 11 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours? Answer Choice: (A)  18/79 (B)  1/6 (C)  1/25 (D)  1/50 (E)  17/900
Answer: E
Average of 10 matches is 32, How many runs one should should score to increase his average by 4 runs. Answer Choice: (A) 70 (B) 76 (C) 78 (D) 80 (E) 88
Answer: B
In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk? Answer Choice: (A) 1 (B) 40 (C) 20 (D) 26 (E) 30
Answer: B
In a rectangular coordinate system, points O (2,0), P (2,6), and Q (8,0) represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments? Answer Choice: (A) (3,4) (B) (5,3) (C) (3,2) (D) (3,3) (E) (4,3)
Answer: B
Whats the reminder when 879,548,521,456,258,759,653,258,778,455,658,985 is divided by 4 Answer Choice: (A) 1 (B) 7. (C) 2. (D) 3 (E) 9
Answer: A
A car gets 28 miles to the gallon. If it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. If the fuel tank holds 15 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified? Answer Choice: (A) 85 (B) 90 (C) 95 (D) 100 (E) 105
Answer: E
If 4 2/3 is subtracted form 10 1/2 and the difference is multiplied by 450, then what is the final answer? Answer Choice: (A) 2725 (B) 2675 (C) 2875 (D) 2525 (E) None of these
Answer: E
What does the hexa number E78 in radix 7. Answer Choice: (A) 12455 (B) 14153 (C) 14256 (D) 13541 (E) 14541
Answer: D
Rectangular tile each of size 70cm by 30cm must be laid horizontally on a rectangular floor of size 110cm by 130cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is: Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10
Answer: A
Which of the following is closest to 10^170 – 10^30 ? Answer Choice: (A) 10^210 (B) 10^180 (C) 10^170 (D) 10^90 (E) 10^6
Answer: C
When average age of 25 members are 0, how many members greater than 0? Answer Choice: (A) 17 (B) 24 (C) 21 (D) 23 (E) 25
Answer: B
The average of the marks of 11 students in a class is 36. If the marks of each student are doubled, find the new average? Answer Choice: (A) 69 (B) 70 (C) 71 (D) 72 (E) 75
Answer: D
David works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 2,500 and then he left the lab. He returned in time to take a reading at 4 p.m., by which point the population had grown to 160,000. Now he has to fill in the missing data for 2 p.m. and 3 p.m. What was the population at 3 p.m.? Answer Choice: (A) 45,000 (B) 40,000 (C) 50,000 (D) 55,000 (E) 60,000
Answer: B
A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 6 hours. During that time, the faster car traveled 1/3 of the distance XY. How long would it take the slower car to travel the distance XY? Answer Choice: (A) 6 hours (B) 9 hours (C) 10 hours (D) 12 hours (E) 15 hours
Answer: B
X can do a piece of work in 40 days; Y can do the same in 30 days. X started alone but left the work after 10 days, then Y worked at it for 10 days. Z finished the remaining work in 10 days. Z alone can do the whole work in? Answer Choice: (A) days (B) days (C) days (D) 1/2 days (E) days
Answer: A
The average marks of 30 students in a class is 60. But a student mark is wrongly noted as 90 instead of 15 then find the correct average marks? Answer Choice: (A) 55.65 (B) 57.5 (C) 62.5 (D) 45.25 (E) 50
Answer: B
A man is 22 years older than his son. In THREE years, his age will be THRICE the age of his son. The present age of this son is Answer Choice: (A) 8 years (B) 2 years (C) 7 years (D) 8 years (E) 5 years
Answer: D
In how many ways can the letters of a word 'ENGINEERING' be arranged such that vowels DO NOT together? Answer Choice: (A) 253000 (B) 263000 (C) 273000 (D) 283000 (E) 293000
Answer: C
If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of charcoal ? Answer Choice: (A) White (B) BLUE (C) PINK (D) ORANCE (E) BLACK
Answer: A
An art gallery owner is hanging paintings for a new show. Of the five paintings she has to choose from, she can only hang three on the main wall of the gallery. Assuming that she hangs as many as possible on that wall, in how many ways can she arrange the paintings? Answer Choice: (A) 18 (B) 30 (C) 64 (D) 20 (E) 216
Answer: D
What is the area G of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)? Answer Choice: (A) 60. (B) 85. (C) 125. (D) 225. (E) It cannot be determined from the information given
Answer: D
The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man. The weight of the new man is Answer Choice: (A) 76 years (B) 78 years (C) 86 years (D) 16 years (E) 46 years
Answer: A
If a farmer sells 15 of his goats, his stock of feed will last for 4 more days than planned, but if he buys 20 more goats, he will run out of feed 3 days earlier than planned. If no goats are sold or bought, the farmer will be exactly on schedule. How many goats does the farmer have? Answer Choice: (A) 12 (B) 24 (C) 48 (D) 60 (E) 55
Answer: D
As a bicycle salesperson, John earns a fixed salary of $10 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true? I. y<2x II. y>x III. y>3 Answer Choice: (A) II,III only (B) I,III only (C) I,II only (D) II only (E) I only
Answer: A
I have an amazing bath tub having both hot and cold water taps.
The cold water tap can fill my tub in 6 hours while cold water tap can fill the tub in approx 4 hours.
I turned them on simultaneously but forgot to close the lid which remove water out of tub.
The lid can empty the tub in exact 13 hours.
Since both taps are open along with the lib , can you estimate the time needed to fill the bath tub ? Answer Choice: (A) 6 hours (B) 5 hours (C) 2 hours (D) 4 hours (E) 3 hours
Answer: E
The Sum of the average (arithmetic mean) of the even integers from 0 to 100 inclusive and the average (arithmetic mean) of the even integers from 0 to 50 inclusive? Answer Choice: (A) 15 (B) 125 (C) 25 (D) 75 (E) 50
Answer: D
The forth proportional to 15,30,45 is? Answer Choice: (A) 100 (B) 45 (C) 90 (D) 75 (E) 100
Answer: C
(4 x 10^4) + (2 x 10^2) + (4 x 10) = Answer Choice: (A) 302400 (B) 32400 (C) 40240 (D) 3240 (E) 324
Answer: C
Souju's age is 150% of what it was 10 years ago, but 75% of what it will be after 10 years. What is her present age? Answer Choice: (A) 25 years (B) 27years (C) 30 years (D) 42 years (E) 66 years
Answer: C
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of the car? Answer Choice: (A) 22 (B) 28 (C) 120 (D) 287 (E) 278
Answer: C
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 874 in 4 years. The sum is: Answer Choice: (A) s. 650 (B) s. 638 (C) s. 698 (D) s. 700 (E) s. 760
Answer: B
Sandy had $140 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her? Answer Choice: (A) $180 (B) $200 (C) $220 (D) $240 (E) $260
Answer: B
A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 6 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour? Answer Choice: (A) 2:33 pm (B) 2:45 pm (C) 2:54 pm (D) 3:06 pm (E) 3:12 pm
Answer: C
Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is: Answer Choice: (A) 55 % (B) 26 % (C) 44% (D) 32 % (E) 16 %
Answer: C
The average salary/head of all the workers ina workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the total no. of workers in the work-shop is ? Answer Choice: (A) 18 (B) 20 (C) 22 (D) 23 (E) 25
Answer: C
A certain box has 11 cards and each card has one of the integers from 1 to 11 inclusive. Each card has a different number. If 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average (arithmetic mean) of all the numbers written on the 11 cards? Answer Choice: (A) 1/11 (B) 2/11 (C) 2/33 (D) 4/55 (E) 5/66
Answer: D
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red? Answer Choice: (A) 2/15 (B) 3/17 (C) 5/26 (D) 4/19 (E) 5/21
Answer: C
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Answer Choice: (A) 453 (B) 568 (C) 155 (D) 150 (E) 171
Answer: D
Before leaving for his business trip, Chad asks his assistant to choose and pack four shirts from his closet, which currently contains seven shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not? Answer Choice: (A) 3/7 (B) 3/14 (C) 10/35 (D) 5/28 (E) 4/21
Answer: C
A bakery currently has 8 pies and 3 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies? Answer Choice: (A) 3/7 (B) 5/7 (C) 4/11 (D) 7/11 (E) 23/33
Answer: C
x% of y is y% of ? Answer Choice: (A) x/y (B) 2y (C) x (D) 1 (E) can’t be determined
Answer: C
A invested some money in 10% stock at 96.If B wants to invest in an equally good 12% stock ,he must purchase a stock worth of : Answer Choice: (A) Rs. 80 (B) Rs. 115.20 (C) Rs. 120 (D) Rs. 125.40 (E) None of these
Answer: B
In how many Q ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct. Answer Choice: (A) 288 (B) Q=144 (C) Q=12 (D) Q=48 (E) 96
Answer: B
4, 10, (?), 82, 244, 730 Answer Choice: (A) 26 (B) 28 (C) 40 (D) 48 (E) 50
Answer: B
A motor car starts with a speed of 50km/hr with its speed increasing every 2hours by 20kmph. In how many hours will it cover 510kms? Answer Choice: (A) 12 hr (B) 10hr (C) 9hr (D) 11hr (E) 8hr
Answer: A
Three numbers are such that the Second is as much lesser than thr third as the first is lesser than the second.If the product of the two smaller numbers is 85 and product of two larger number is 115 then find the middle number Answer Choice: (A) 8 (B) 9 (C) 10 (D) 12 (E) 15
Answer: C
A book seller had some books. He sells 50% and still has 540 books. Originally, he had ? Answer Choice: (A) 500 books (B) 540 books (C) 108 books (D) 1080 books (E) None
Answer: D
The average of 11 observations is 60. If the average of first five observations is 58 and that of the last five is 56, then the sixth observation is. Answer Choice: (A) 85 (B) 90 (C) 100 (D) 110 (E) None of these
Answer: B
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number ? Answer Choice: (A) 36 (B) 86 (C) 27 (D) 86 (E) 27
Answer: A
John went to a shop and bought things worth Rs. 25, out of which 30 Paisa went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) 17 (B) 18 (C) 19.7 (D) 21 (E) 24
Answer: C
s(n) is a n-digit number formed by attaching the first n perfect squares, in order, into one integer. For example, s(1) = 1, s(2) = 14, s(3) = 149, s(4) = 14916, s(5) = 1491625, etc. How many digits W are in s(99)? Answer Choice: (A) W=350 (B) W=353 (C) W=354 (D) 356 (E) 357
Answer: B
A train 150 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: Answer Choice: (A) 22 (B) 50 (C) 99 (D) 288 (E) 59
Answer: E
A family with 1 mother, 1 father, and 3 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible Answer Choice: (A)  3 (B)  6 (C)  4 (D)  8 (E)  10
Answer: B
Which of the following points falls outside of the region defined by 2y≤6x−10? Answer Choice: (A) (5, 1) (B) (3, -8) (C) (2, 0) (D) (0, -2) (E) (0, -14)
Answer: C
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Answer Choice: (A) 6.25 (B) 6.5 (C) 6.75 (D) 7 (E) None
Answer: A
The arithmetic mean of the set S = {6, K, 5, 11, M, 6} is 7. If K and M are integers, and K ≠ M, what is the median of the numbers in the set? Answer Choice: (A) 5 (B) 5.5 (C) 6 (D) 6.5 (E) 7
Answer: C
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ? Answer Choice: (A) 17/26 (B) 17/22 (C) 17/22 (D) 17/29 (E) 17/12
Answer: D
In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent of her bushes have only yellow roses? Answer Choice: (A) 20 (B) 30 (C) 50 (D) 70 (E) 80
Answer: B
It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill one sixteenth of the dish? Answer Choice: (A) 16 days (B) 26 days (C) 27 days (D) 28 days (E) 29 days
Answer: B
A bullet train passes a station platform in 36 seconds and a man standing on the platform in 21 seconds. If the speed of the bullet train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 240 m (B) 220 m (C) 260 m (D) 225 m (E) 239 m
Answer: D
There was one mess for 30 boarders in a certain hostel. The number of boarders being increased by 10, the expenses of the mess were increased by Rs 40 per month while the average expenditure per head diminished by Rs 2. Find the original monthly expenses. Answer Choice: (A) Rs 390 (B) Rs 410 (C) Rs 360 (D) Cannot be determined (E) None of these
Answer: C
In the biology lab of "Jefferson" High School there are 3.24*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish? Answer Choice: (A) 300 (B) 200 (C) 500 (D) 1000 (E) 5000
Answer: A
A person crosses a 1440 m long street in 12 minutes. What is his speed in km per hour? Answer Choice: (A) 4.1 (B) 4.5 (C) 4.8 (D) 5.4 (E) 7.2
Answer: E
Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a. Answer Choice: (A) profit of Rs. 202 (B) profit of Rs. 211 (C) profit of Rs. 128 (D) profit of Rs. 200 (E) profit of Rs. 219
Answer: E
There are 12 dozen mangoes in a box. If there are 25
such boxes, how many mangoes are there in all the
boxes together? Answer Choice: (A) 3600 (B) 3096 (C) 6192 (D) 628 (E) None
Answer: A
Marge has Z candies, where Z is an integer such that 20 < Z< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children? Answer Choice: (A)  0 (B)  1 (C)  2 (D)  3 (E)  4
Answer: C
9, 16, 17, 25, 36,49 Answer Choice: (A) 9 (B) 16 (C) 17 (D) 25 (E) 36
Answer: C
What distance (in meters) will be covered by a bus moving at 72 km/hr in 38 seconds? Answer Choice: (A) 720 (B) 760 (C) 800 (D) 840 (E) 880
Answer: B
If $200 invested at a certain rate of simple interest amounts to $240 at the end of 3 years,How much will $150 amount to at the same rate of interest in 6 years? Answer Choice: (A) $190 (B) $180 (C) $200 (D) $240 (E) $210
Answer: E
Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements W. Answer Choice: (A) a) 48 (B) b) W=144 (C) c) W=240 (D) d) W=288 (E) e) 120
Answer: C
Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 222 grams of compound X? Answer Choice: (A) 54 (B) 185 (C) 250 (D) 270 (E) 322
Answer: B
If positive integers x and y are not both odd, which of the following must be even? Answer Choice: (A) xy (B) x + y (C) x - y (D) x + y -1 (E) 2(x + y) - 1
Answer: A
In a coconut grove, (x + 2) trees yield 30 nuts per year, x trees yield 120 nuts per year and (x – 2) trees yield 180 nuts per year. If the average yield per year per tree be 100, find x. Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 10
Answer: E
Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio T of the number of hours Ann spends driving to the meeting to the number of hours Bob spends driving to the meeting? Answer Choice: (A) 8:3 (B) 3:2 (C) 4:3 (D) 2:3 (E) 3:8
Answer: B