loafeihong/math_mmlu_format huggingface dataset:
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives: Answer Choice: (A) Rs. 14,000 (B) Rs. 14,200 (C) Rs. 14,400 (D) Rs. 14,700 (E) Rs. 14,800
Answer: D
Robert left from a Pvt Company. Management hold his salary Rs. 15000/- for one month. Earlier Robert borrowed Rs. 7280/- from company. But Robert forget that. After one month Robert asked his salary and accountant gives Rs.18500/- to him. What is the incentive amount given to Robert? Answer Choice: (A) 9500 (B) 12500 (C) 10780 (D) 10500 (E) 8600
Answer: C
How many seconds will a train 110 meters long take to cross a railway platform 165 meters long if the speed of the train is 132 kmph? Answer Choice: (A) 6 sec (B) 7.5 sec (C) 8 sec (D) 3 sec (E) 10 sec
Answer: B
How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 35% iodine solution? Answer Choice: (A) 35 (B) 49 (C) 100 (D) 105 (E) 140
Answer: D
How many 4-digit B numbers (ABCD) can be formed such that |A – D| = 2? Answer Choice: (A) 2,000 (B) 1,900 (C) 1,800 (D) 1,600 (E) 1,500
Answer: E
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons? Answer Choice: (A) 165 ways (B) 176 ways (C) 617 ways (D) 136 ways (E) 156 ways
Answer: A
The ratio between the speeds of two trains is 3 : 5. If the second train runs 500 kms in 4 hours, then the speed of the first train is Answer Choice: (A) 80 km/h (B) 75 km/h (C) 50 km/h (D) 125 km/h (E) 60 km/h
Answer: B
Find the value of x. (47% of 1442 - 36% of 1412) + 63 = x? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 11 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Answer Choice: (A) 477 (B) 384 (C) 279 (D) 276 (E) 291
Answer: B
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 16. Find their present ages (in years). Answer Choice: (A) 8, 14, 18 (B) 8, 28, 36 (C) 20, 35, 45 (D) 33,42,43 (E) 23,42,43
Answer: A
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places Answer Choice: (A) 45 (B) 43 (C) 42 (D) 47 (E) 23.57
Answer: E
What percent is 7 gm of 1 kg? Answer Choice: (A) 0.7 % (B) 0.5 % (C) 2.5 % (D) 3.5 % (E) 4 %
Answer: A
Three consecutive even numbers are such that thrice the first number exceeds double the third number by six. What is the third number? Answer Choice: (A) 16 (B) 18 (C) 20 (D) 22 (E) 24
Answer: B
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 6 (E) 7
Answer: A
Sum of the numbers from 1 to 20 is Answer Choice: (A) 210 (B) 110 (C) 220 (D) 105 (E) 100
Answer: A
Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey? Answer Choice: (A) 69.0 km /hr (B) 69.2 km /hr (C) 67.2 km /hr (D) 67.0 km /hr (E) 65.0 km /hr
Answer: C
A ship sails 4 degrees north, then 13 S. then 17 N. then 19 S. and has finally 11 degrees of south latitude. What was her latitude at starting ? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) None of these
Answer: A
Find the simple interest on Rs. 73,000 at 16 2/3% per year for 9 months. Answer Choice: (A) 7500 (B) 6500 (C) 8125 (D) 9125 (E) None of them
Answer: D
A plant manager must assign 10 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 2 new workers. How many different ways can she assign the new workers? Answer Choice: (A) 2430 (B) 2700 (C) 3300 (D) 4860 (E) 5400
Answer: B
Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.? Answer Choice: (A) 8 (B) twelve (12) (C) 14 (D) 16 (E) 18
Answer: B
7^6n -1^ 6n When n is an integer > 0 is divisible by Answer Choice: (A) 112 (B) 127 (C) 134 (D) 154 (E) 146
Answer: B
An even and an odd integer are multiplied together. Which of the following numbers could not be the square of their product? Answer Choice: (A) 4 (B) 16 (C) 25 (D) 36 (E) 100
Answer: C
The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is Answer Choice: (A) 1.6 km (B) 2 km (C) 3.6 km (D) 4 km (E) None of these
Answer: C
Which one of the following is not a prime number? Answer Choice: (A) 31 (B) 61 (C) 71 (D) 73 (E) 91
Answer: D
90, 180, 12, 50, 100, 120, ?, 3, 30, 4, 25, 2, 6, 30, 3 Answer Choice: (A) 90 (B) 120 (C) 180 (D) 200 (E) 220
Answer: A
The average student age of a certain class which has 45 students is 14. If one student aged 15 go to another class and the age of the class teacher is included the average changes to 14.66. What is the age of class teacher? Answer Choice: (A) 30 (B) 35 (C) 38 (D) 40 (E) 45
Answer: E
A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/6 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded? Answer Choice: (A) 5/6 (B) 1/5 (C) 1/6 (D) 1/7 (E) 1/24
Answer: B
Tough and Tricky questions: Word Problems.
If Bill's salary increased by 16 percent, he would earn $812 per month. If instead, his salary were to increase by only 10 percent, how much money W would he earn per month? Answer Choice: (A) $700 (B) $754 (C) $770 (D) $782 (E) $893
Answer: C
In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 25 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars? Answer Choice: (A) 9X/80 (B) 16X/1 (C) 80/9X (D) 20X/13 (E) 80X/9
Answer: B
In Plutarch Enterprises, 70% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $70,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000? Answer Choice: (A) $80,000 (B) $150,000 (C) $240,000 (D) $290,000 (E) $320,000
Answer: B
In a consumer survey, 88% of those surveyed liked at least one of three products: 1, 2, and 3. 55% of those asked liked product 1, 40% liked product 2, and 20% liked product 3. If 7% of the people in the survey liked all three of the products, what percentage of the survey participants liked more than one of the three products? Answer Choice: (A) 15 (B) 20 (C) 25 (D) 30 (E) 35
Answer: B
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) 17 hrs (B) 16 hrs (C) 21 hrs (D) 15 hrs (E) 04 hrs
Answer: B
A car dealership has 40 cars on the lot, 15% of which are silver. If the dealership receives a new shipment of 80 cars, 30% of which are not silver, what percentage of total number of cars are silver? Answer Choice: (A) 20% (B) 25% (C) 30% (D) 35% (E) 40%
Answer: B
How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6 Answer Choice: (A) 1 one (B) 2 two (C) 3 three (D) 4 four (E) More than four
Answer: C
If the range Q of the six numbers 4,3,14,7,10 and x is 12, what is the difference between the greatest possible value of x and least possible value of x? Answer Choice: (A) 	0 (B) 	2 (C) 	12 (D) 	13 (E) 	15
Answer: D
Find the value of (√1.21)/(√0.81) + (√0.81)/(√0.49) is Answer Choice: (A) 195/63 (B) 2.5 (C) 155/63 (D) 125/63 (E) 185/63
Answer: B
There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to? Answer Choice: (A) 4!*2! (B) 7!*2! (C) 6!*1! (D) 2!*1! (E) 5!*1!
Answer: B
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent? Answer Choice: (A) 42 8/7% (B) 42 6/4% (C) 42 6/7% (D) 42 3/7% (E) 42 6/9%
Answer: D
The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is? Answer Choice: (A) Rs. 1550 (B) Rs. 1650 (C) Rs. 1750 (D) Rs. 2000 (E) Rs. 3000
Answer: C
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many W cents does a liter of kerosene cost? [One dollar has 100 cents.] Answer Choice: (A)  0.33 (B)  0.44 (C)  0.55 (D)  44 (E)  55
Answer: D
Oak Street begins at Pine Street and runs directly east for 2 kilometers until it ends when it meets Maple Street. Oak Street is intersected every 400 meters by a perpendicular street, and each of those streets other than Pine Street and Maple Street is given a number beginning at 1st Street (one block east of Pine Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Maple Street. What is the highest-numbered street that intersects Oak Street? Answer Choice: (A) 4th (B) 5th (C) 6th (D) 7th (E) 8th
Answer: A
A one-foot stick is marked in 1/3 and 1/4 portion. How many total markings will there be, including the end points? Answer Choice: (A) 8 (B) 9 (C) 7 (D) 6 (E) 5
Answer: C
The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages? Answer Choice: (A) 48 (B) 277 (C) 65 (D) 15 (E) 12
Answer: A
A team has to design a flag. The team has three yellow strips of cloth and four green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand? Answer Choice: (A) 24 (B) 35 (C) 42 (D) 84 (E) 85
Answer: B
John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/4 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have? Answer Choice: (A) 45 (B) 62 (C) 70 (D) 77 (E) 98
Answer: B
In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 4 : 7 : 9. If the shop carries 364 dogs and bunnies total in stock, how many dogs are there? Answer Choice: (A) 42 (B) 66 (C) 98 (D) 112 (E) 154
Answer: D
Find the area, diameter = 11m. Answer Choice: (A) 113.00 square meter (B) 95.07 square meter (C) 93.08 square meter (D) 93.24 square meter (E) 113.43 square meter
Answer: B
The length and width of a rectangle are integer values. What is the area of the smallest such rectangle that can be inscribed in a circle whose radius is also an integer Answer Choice: (A)  12 (B)  24 (C)  36 (D)  48 (E)  60
Answer: E
A real estate agent received a 6% commission on the selling price of a house. If his commission was $8,880, what was the selling price of the house? Answer Choice: (A) $448,000 (B) $148,000 (C) $248,000 (D) $548,000 (E) $648,000
Answer: B
A car going at 40 miles per hour set out on an 90-mile trip at 9:00 A.M. Exactly 10 minutes later, a second car left from the same place and followed the same route. How fast, in miles per hour, was the second car going if it caught up with the first car at 10:30 A.M.? Answer Choice: (A)  45 (B)  50 (C)  53 (D)  55 (E)  90
Answer: E
If 10 lions can kill 10 deers in 10 minutes how long will it take 100 lions to kill 100 deers? Answer Choice: (A) 1 minutes (B) 10 minute (C) 100 minutes (D) 10000 minutes (E) 1000 minutes
Answer: B
There is a total of 84 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/4 and the probability that it will be green is 2/7. What is the probability that the marble will be either red or blue? Answer Choice: (A) 3/7 (B) 11/14 (C) 13/28 (D) 19/28 (E) 29/42
Answer: C
At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:40 a.m., how long W will the conference last if there are a total of 6 seminars that day? Answer Choice: (A) 5 hours and 15 minutes (B) 5 hours and 20 minutes (C) 5 hours and 25 minutes (D) 5 hours and 30 minutes (E) 5 hours and 35 minutes
Answer: B
Which of the following triples of numbers have the same standard deviation as the numbers a, b, and c?
I. a-2, b-2, c-2
II. 0, a-b, c-b
III. a-4, b+5, c-1 Answer Choice: (A) I only (B) II only (C) I and III only (D) II and I only (E) I, II, and III
Answer: D
In a class of 5 students, average weight of the 4 lightest students is 40 kgs, Average weight of the 4 heaviest students is 45 kgs. What is the difference between the the maximum and minimum possible average weight overall? Answer Choice: (A) 2.8 kgs (B) 3.2 kgs (C) 3 kgs (D) 4 kilograms (E) 2 kgs
Answer: D
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 16 hours respectively after meeting each other. If the train A travels at 80kmph, find the rate at which the train B runs. Answer Choice: (A) 40 (B) 160 (C) 120 (D) 80 (E) 100
Answer: B
A train of length 250 m crosses a bridge of length 150m in 20 seconds. What is the speed of train? Answer Choice: (A) 33 (B) 27 (C) 25 (D) 22 (E) 72
Answer: E
The perimeter of a rhombus are 24 cm and 10 cm, the area and the perimeter of the rhombus is Answer Choice: (A) 64 sq.m (B) 70 sq.m (C) 78 sq.m (D) 84 sq.m (E) None
Answer: B
In a series of six consecutive odd numbers, the sum of the second and fifth numbers is 28. What is the third number? Answer Choice: (A) 9 (B) 11 (C) 17 (D) 13 (E) 15
Answer: D
What will be the compound interest on a sum of Rs. 45,000 after 3 years at the rate of 12% p.a.? Answer Choice: (A) s:10123.19 (B) s:10123.29 (C) s:10123.20 (D) s:18221.76 (E) s:10123.12
Answer: D
x,y are odd and z is even then ((x^2+y^2)z^2)/8 is Answer Choice: (A) even (B) odd (C) fraction (D) fractiWQ (E) either even or odd
Answer: E
'a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the addition of the maximum and minimum possible values of 'a + b'? Answer Choice: (A) 28 (B) 30 (C) 22 (D) 20 (E) 32
Answer: B
The present population of a town is 1240. Population increase rate is 4% p.a. Find the population of town after 1 years? Answer Choice: (A) 990 (B) 1215 (C) 1345 (D) 1142 (E) 1290
Answer: E
Which of the following numbers doesn't have a divisor greater than 1 that is the square of an integer? Answer Choice: (A) 63 (B) 108 (C) 25 (D) 13 (E) 36
Answer: D
If g and f are both odd prime numbers andg < f, then how many different positive integer factors does2gfhave? Answer Choice: (A)  3 (B)  4 (C)  6 (D)  8 (E)  12
Answer: D
What is (25^7+25) / 25? Answer Choice: (A) 244140626 (B) 243120617 (C) 242580531 (D) 241230438 (E) 240760355
Answer: A
A started a business with an investment of Rs. 70000 and after 9 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 76000, then the share of B is? Answer Choice: (A) 33008 (B) 24000 (C) 28000 (D) 48000 (E) 81122
Answer: D
If s,t ,and u are positive real numbers such that s(t+u) = 152, t(u+s) =162 , and u(s+t) = 170, then stu is Answer Choice: (A) a) 672 (B) b) 688 (C) c) 704 (D) d) 720 (E) e) 750
Answer: D
During a Thanksgiving weekend, a car rental company rented six-tenths of their vehicles, including two-fifths of the 4WDs that it had. If 40% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs? Answer Choice: (A) 20% (B) 30% (C) 40% (D) 50% (E) 60%
Answer: C
Jack needs to arrive at the flower shop before 2 p.m, and the car rental by 3:30 pm, before he picks Sally up for their date at 5:30. It is now 12 p.m. the flower shop is 1.2 miles from Jacks house. He walks at a pace of 3.1 miles per hour. The flower shop is about .6 miles from the car rental shop, where Jack must walk to next. He can then drive the last 4.3 miles to Sallys house with an approx speed of 35 mph. When should he leave for each destination, in order based on the distance between stops Jack's walking speed, and finally the travel in the car? Answer Choice: (A) 1:56 p.m, 3:21pm, 5:21 p.m (B) 1:59 p.m, 3:17p.m, and 5:24 p.m (C) 1:57 p.m., 3.19 p.m, and 5:26pm (D) 1:52 pm, 3:11 p.m, and 5:18 pm (E) 1:59 p.m, 3:22 p.m, there isn't time to pick up Sally :(
Answer: D
Evaluate: 6302.5 + 630.25 + 63.025 + 6.3025 + 0.63025 Answer Choice: (A) 6819.59775 (B) 6981.59775 (C) 6918.59775 (D) 6198.59775 (E) 7002.70775
Answer: E
What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 743.095 + ? Answer Choice: (A) 870 (B) 790 (C) 780 (D) 770 (E) 890
Answer: C
The cost of producing x tools by a company is given by
C(x) = 1000 x + 5500 (in $)
a) What is the cost of 100 tools? Answer Choice: (A) 125500 $ (B) 125800 $ (C) 105900 $ (D) 105500 $ (E) 122500 $
Answer: D
A person buys an article at Rs.400. At what price should he sell the article so as to make a profit of 40%? Answer Choice: (A) 600 (B) 277 (C) 560 (D) 261 (E) 281
Answer: C
The average of 6 no.'s is 3.95. The average of 2of them is 3.8, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's? Answer Choice: (A) 4.2 (B) 4.4 (C) 4.6 (D) 5.6 (E) 5.7
Answer: A
Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability Q that Jane will be on the same committee as Albert? Answer Choice: (A)  12% (B)  20% (C)  33% (D)  40% (E)  50%
Answer: D
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder Answer Choice: (A) 1234 (B) 1265 (C) 1350 (D) 1467 (E) 1635
Answer: E
If z = 343 * 64 * 9 / 63, Find the unit digit of z, Answer Choice: (A) 5 (B) 1 (C) 3 (D) 2 (E) 6
Answer: E
A circular well with a diameter of 4 metres , is dug to a depth of 24 metres. What is the volume of the earth dug out? Answer Choice: (A) 32 m3 (B) 36 m3 (C) 40 m3 (D) 44 m3 (E) 301.6
Answer: E
A car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? Answer Choice: (A) 35 (B) 35.5 (C) 36 (D) 36.5 (E) 37
Answer: C
A shopkeeper has 280 kg of apples. He sells 40% of these at 20% profit and remaining 60% at 20% profit. Find his % profit on total. Answer Choice: (A) 24% (B) 20% (C) 26% (D) 28% (E) 35%
Answer: B
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent? Answer Choice: (A) 8 1/9 % (B) 8 7/3 % (C) 8 1/3 % (D) 2 1/3 % (E) 8 3/3 %
Answer: C
The average of 25 result is 18.The average of 1st 12 of them is 14 & that of last 12 is 17.Find the 13th result. Answer Choice: (A) 18 (B) 68 (C) 58 (D) 78 (E) 98
Answer: D
If shares of two persons in profits are Rs.600 and Rs.300 then ratio of their capitals is Answer Choice: (A) 3:4 (B) 2:3 (C) 4:3 (D) 1:3 (E) 2:1
Answer: E
There are ten players in the basketball team. If the average height of the players is 170 cm, what will be the new average height if a 192 cm player will join the team? Answer Choice: (A) 168. (B) 172.2 (C) 172 (D) 181 (E) 184
Answer: C
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream? Answer Choice: (A) 15 (B) 99 (C) 77 (D) 55 (E) 22
Answer: A
The total age of A and B is 15 years more than the total age of B and C. C is how many year younger than Answer Choice: (A) 14 years (B) 12 years (C) 56 years (D) 66 years (E) 15 years
Answer: E
A shopkeeper sold 10articles at the cost price of 8 articles. Then find the profit% or lost% ? Answer Choice: (A) 10% (B) 15% (C) 25% (D) 30% (E) 20%
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) 12 (B) 27 (C) 21 (D) 18 (E) 11
Answer: D
Working individually, Emma can wrap presents for 6 hours and Troy can wrap presents in 8 hours. If Emma and Troy work together but independently at the task for 2 hours, at which point Troy leaves, how many remaining hours will it take Emma to complete the task alone? Answer Choice: (A) 30/12 (B) 5/12 (C) 3/4 (D) 2/12 (E) 3/5
Answer: A
Find the value of (100+ 20/90) × 90 Answer Choice: (A) 4520 (B) 9100 (C) 9150 (D) 8120 (E) 9020
Answer: E
A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to 140 billion gallons. If the storm increased the amount of water in the reservoirs to 80 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm? Answer Choice: (A) 51 (B) 48 (C) 55 (D) 63 (E) 65
Answer: A
An inspector rejects 15% of the meters as defective. How many will he examine to reject 15? Answer Choice: (A) A)100 (B) B)120 (C) C)250 (D) D)200 (E) E)160
Answer: A
If f(x) = x - 4, then (f o f)(3) = ? Answer Choice: (A) -5 (B) -4 (C) -6 (D) -3 (E) -7
Answer: A
The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 4|+ 7 is equal to: Answer Choice: (A) –7 (B) 7 (C) 10 (D) 12 (E) 16
Answer: E
A 40-liter solution of alcohol and water is 5 percent alcohol. If 2.5 liters of alcohol and 7.5 liters of water are added to this solution, what percent of the solution produced is alcohol? Answer Choice: (A) 9% (B) 12% (C) 15% (D) 18% (E) 21%
Answer: A
Timmy and Tommy Pumpernickel are leaving home for college today. Peter and Patty Pumpernickel stand and wave goodbye as their pride and joy head off to schools at opposite ends of the state. If Timmy drives a slow 45 miles/ hour and Tommy "the lead foot" Pumpernickel drives a jaw dropping 75 miles per hour, how long until they are 500 miles away from one another? Answer Choice: (A) 4 hours (B) 4.5 hours (C) 4.24 hours (D) 4.17 hours (E) 5 hours
Answer: D
A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at Answer Choice: (A) 6 % (B) 6.1 % (C) 6.2 % (D) 6.3 % (E) 6.4 %
Answer: E
There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is: Answer Choice: (A) 5 (B) 6 (C) 21 (D) 33 (E) 60
Answer: C
If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 15 men in 3 days? Answer Choice: (A) 65mtr. (B) 52mtr (C) 70mtr. (D) 78mtr. (E) 42mtr.
Answer: E
A palindrome is a number that reads the same forward and backward, such as 242. How many even thirteen-digit numbers are palindromes? Answer Choice: (A) 40 (B) 400 (C) 500 (D) 5,000 (E) 40,000,000
Answer: E