loafeihong/math_mmlu_format huggingface dataset:
one out of ten employees are capable of doing a certain task. 40 percent of the five employees, including the one who are capable, are assigned to a project involving this task. what percentage of employees assigned to the project are not capable? Answer Choice: (A) 43.33% (B) 75% (C) 13.33% (D) 38.33% (E) 23.33%
Answer: B
The radius of a cone is 10 m, height 21 m. The volume of the cone is: Answer Choice: (A) 2200 (B) 1100 (C) 5500 (D) 3300 (E) 1050
Answer: A
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8200. If his salary for the month of May is Rs.6500, find his salary for the month of January? Answer Choice: (A) 2177 (B) 2876 (C) 4500 (D) 5700 (E) 6711
Answer: D
[(3/2 ÷ 1/2 × 3/2)]/[(3/2 × 1/2 ÷ 3/2)] = ? Answer Choice: (A) 6 (B) 8 (C) 10 (D) 9 (E) 3
Answer: D
Find the slope of the line perpendicular to the line y = (1/5)x - 7 Answer Choice: (A) 1 (B) 2 (C) -5 (D) 4 (E) 5
Answer: C
Six points lie on the circumference of a circle. What is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 15 (E) 20
Answer: B
A train ride from Town P to Town Q costs $6.85 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.45. What is the cost of a bus ride from Town P to Town Q? Answer Choice: (A) $1.30 (B) $2.50 (C) $4.10 (D) $4.70 (E) $8.20
Answer: A
The sum of three consecutive integers is 102. Find the lowest of the three? Answer Choice: (A) 15 (B) 33 (C) 56 (D) 96 (E) 88
Answer: B
A company plans to award prizes to its top 3 salespeople, with the largest prize going to the top salesperson, the next-largest prize to the next salesperson, and a smaller prize to the third-ranking salesperson. If the company has 12 salespeople on staff, how many different arrangements of winners are possible? Answer Choice: (A) 1,728 (B) 1,440 (C) 1,320 (D) 220 (E) 6
Answer: C
The average of seven numbers is 21. The average of first three numbers is 19 and the average of last three numbers is 23. What is the middle number? Answer Choice: (A) 20 (B) 22 (C) 18 (D) 19 (E) 21
Answer: E
Which of the listed below number is the odd one out? Answer Choice: (A) 17642 (B) 36119 (C) 84129 (D) 67626 (E) 65612
Answer: E
If the probability of rain on any given day in Chicago during the summer is 50%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 7, inclusive? Answer Choice: (A) 1/4 (B) 1/8 (C) 3/8 (D) 3/16 (E) 5/16
Answer: A
1: 3 = 1 2/3: x. The value of x is? Answer Choice: (A) 1 (B) 6 (C) 7 (D) 5 (E) 8
Answer: D
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 2: 30 p.m., at what time were there 32 million bacteria in the dish? Answer Choice: (A) 6: 00 p.m. (B) 8: 00 p.m. (C) 6: 00 a.m. (D) 8: 30 a.m. (E) 10: 00 a.m.
Answer: D
If A:B:C = 2:3:4, then find AB:BC:CA Answer Choice: (A) 5:9:24 (B) 6:9:24 (C) 7:9:24 (D) 8:9:24 (E) None of these
Answer: D
If n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 170, what is the least possible value of n? Answer Choice: (A) 14 (B) 13 (C) 15 (D) 17 (E) 16
Answer: D
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train? Answer Choice: (A) 27 7/8 (B) 27 9/9 (C) 28 7/9 (D) 27 7/9 (E) 21 7/9
Answer: D
Find the one which does not belong to that group ? Answer Choice: (A) 27 (B) 66 (C) 88 (D) 65 (E) 11
Answer: A
A fill pipe can fill 2/3 of cistern in 40 minutes in how many minutes, it can fill full of the cistern? Answer Choice: (A) 60min (B) 36min (C) 25min (D) 30min (E) 50min
Answer: A
A man has some hens and cows. If the number of heads be 60 and the number of feet equals 200, then the number of hens will be: Answer Choice: (A) 22 (B) 25 (C) 24 (D) 20 (E) 28
Answer: D
x is a positive integer less than 600. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there? Answer Choice: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25
Answer: E
How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9} Answer Choice: (A) 16 (B) 65 (C) 86 (D) 82 (E) 60
Answer: E
There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number? Answer Choice: (A) 5 (B) 7 (C) 11 (D) 13 (E) 15
Answer: A
A group of 4th graders and 5th graders is going on a field trip to the zoo. Only 20% of the students remembered to bring written permission from their parents. If 40% of the students are 4th graders and 25% if the 4th graders remembered to bring written permission, what percentage of the students are 5th graders who forgot to bring written permission? Answer Choice: (A) 10% (B) 30% (C) 50% (D) 60% (E) 80%
Answer: C
If the probability of rain on any given day in Chicago during the summer is 50%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 8, inclusive? Answer Choice: (A) 1/32 (B) 2/25 (C) 5/16 (D) 8/25 (E) 3/4
Answer: C
What is the percentage increase in area when a triangle is cloned (so that we have two triangles in total) and the resulting two triangles are joined on their bases to form a parallelogram ? Answer Choice: (A) 100% (B) 150% (C) 300% (D) 120% (E) 140%
Answer: A
When a commodity is sold for Rs.34.80, there is a loss of 2%. What is the cost price of the commodity? Answer Choice: (A) Rs.26.10 (B) Rs.43 (C) Rs.43.20 (D) Rs.46.40 (E) None
Answer: D
Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.1 more than the next one below it in size. What was the cost, in dollars, of the largest pot? Answer Choice: (A) $1.62 (B) $1.85 (C) $2.00 (D) $2.15 (E) $2.30
Answer: A
Look at this series: F2, __, D8, C16, B32, ... What number should fill the blank? Answer Choice: (A) A16 (B) G4 (C) E4 (D) E3 (E) F2
Answer: C
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 20 miles per gallon, and from Town B to Town C, the car averaged 24 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C? Answer Choice: (A) 40 (B) 30 (C) 42 (D) 33 (E) 35
Answer: B
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly? Answer Choice: (A) 278 (B) 370 (C) 237 (D) 482 (E) 223
Answer: D
The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 37 litres of the mixed fruit juice. How many litres of the açai berry juice does he need to add? Answer Choice: (A) 17 litres (B) 24.67 litres (C) 11 litres (D) 24.07 litres (E) 38.67 litres
Answer: B
Rashmi can do a piece of work in 16 days. Ravina can do the same work in 12 days while Gitika can do it in 32 days. All of them started to work together but Rashmi leaves after 4 days. Ravina leaves the job 3 days before the completion of the work. How long the work last? Answer Choice: (A) 14 (B) 15 (C) 16 (D) 17 (E) 18
Answer: E
Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $2200 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years? Answer Choice: (A) $3,750 (B) $19,800 (C) $8,100 (D) $15,000 (E) $22,500
Answer: B
a clock is such that it looses 4 min every day.the clock is set right on feb 25,2008 2 p.m.how many min should be added to get the right time when the clock shows 9 am on 3rd march 2008? Answer Choice: (A) 9:07am (B) 9:17am (C) 9:27am (D) 9:37am (E) 8:27am
Answer: C
Tom bought 2 shares and sold them for $91 each. If he had a profit of 30% on the sale of one of the shares but a loss of 9% on the sale of the other share, then on the sale of both shares Tom had Answer Choice: (A)  a profit of $12 (B)  a loss of $10 (C)  a loss of $12 (D)  a profit of $10 (E)  neither a profit nor a loss
Answer: A
In 1991, there are 28 days in February and there are 365 days in the year. In 1992, there are 29 days in February and there are 366 days in the year. If the date September 15, 1995 is a Monday, then which one of the following would the date September 15, 1996 be? Answer Choice: (A) Tuesday (B) Wednesday (C) Thursday (D) Friday (E) Saturday
Answer: B
In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−8, −6)? Answer Choice: (A) 4 (B) 2 (C) 0 (D) −2 (E) −4
Answer: A
The edges of a cuboid are 4 cm, 5 cm and 7 cm. Find the volume of the cuboid? Answer Choice: (A) 140 (B) 278 (C) 378 (D) 368 (E) 367
Answer: A
A box contains five bulbs out of which 2 are defective. If two bulbs are chosen at random, find the probability that all the two bulbs are defective? Answer Choice: (A) 1/12 (B) 1/10 (C) 1/19 (D) 1/13 (E) 1/16
Answer: B
A and B are two circles. The radius of A is twice as large as the radius of B. What is the ratio between the areas of the circles? Answer Choice: (A) 1:8. (B) 1:2. (C) 1:4. (D) 1:16. (E) 1:6.
Answer: C
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.12000. A's share is? Answer Choice: (A) s.4000 (B) s.7200 (C) s.6000 (D) s.5750 (E) s.6750
Answer: A
Find the value of * in the following
(1 5/3) ÷ 3/11 × */11 = (2 2/3 × 7/5 × 6/7) Answer Choice: (A) 1.7 (B) 2.5 (C) 3.6 (D) 3.9 (E) 4.5
Answer: C
If n = 10p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ? Answer Choice: (A)  Two (B)  Three (C)  Four (D)  Six (E)  Eight
Answer: C
How many positive integers less than 20 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3? Answer Choice: (A) 14 (B) 13 (C) 12 (D) 11 (E) 10
Answer: A
As x increases from 151 to 152, which of the following increases? I) x−1/x II) 17−1/x III) (17+x)/x Answer Choice: (A) II only (B) II,III only (C) I,II only (D) I only (E) III only
Answer: C
In what ratio must tea at Rs.64 per Kg be mixed with tea at Rs.74 per Kg so that the mixture must be worth Rs.69 per Kg? Answer Choice: (A) 1 : 1 (B) 3 : 2 (C) 4 : 3 (D) 5 : 3 (E) None
Answer: A
Max left from a Pvt Company. Management hold his salary Rs. 35000/- for one month. Earlier Robert borrowed Rs. 17280/- from company. But Robert forgot that. After one month Robert asked his salary and accountant gives Rs.28500/- to him. What is the incentive amount given to Robert? Answer Choice: (A) A)9500 (B) B)12500 (C) C)10780 (D) D)10500 (E) E)8600
Answer: C
In an examination, 32% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at the end of the examination how many passed in either subject but not in both? Answer Choice: (A) 975 (B) 1020 (C) 1100 (D) 1243 (E) 1525
Answer: C
How many days will there be from 26th January,1996 to 15th May,1996(both days included)? Answer Choice: (A) 102 (B) 132 (C) 111 (D) 132 (E) 142
Answer: C
The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs 8,748, its purchase price was? Answer Choice: (A) Rs 16,000 (B) Rs 18,000 (C) Rs 12,000 (D) Rs 14,000 (E) none of these
Answer: C
Excluding stoppages, the average speed of a bus is 75 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour? Answer Choice: (A) 15 min (B) 18 min (C) 16 min (D) 20 min (E) 28 min
Answer: E
The division of a whole number N by 13 gives a quotient of 15 and a remainder of 2. Find N. Answer Choice: (A) 897 (B) 197 (C) 697 (D) 997 (E) 397
Answer: B
Find the area of circle whose radius is 21m? Answer Choice: (A) 980 sq m (B) 1892 sq m (C) 1267 sq m (D) 1386 sq m (E) 1525 sq m
Answer: D
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is? Answer Choice: (A) 820 gallons (B) 128 gallons (C) 120 gallons (D) 129 gallons (E) 220 gallons
Answer: C
If in a certain sequence of consecutive multiples of 50, the median is 625, and the greatest term is 1050, how many terms that are smaller than 625 are there in the sequence? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 13
Answer: D
In what time a sum of money double itself at 6% per annum simple interest? Answer Choice: (A) 33 1/8% (B) 33 1/3% (C) 83 1/3% (D) 33 4/3% (E) 16 2/3%
Answer: E
A survey was sent to 60 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? Answer Choice: (A) 2% (B) 5% (C) 14% (D) 28% (E) 4%
Answer: A
If x and y are integers, and 5x+7y=12, which of the following could be the value of y ? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: B
If an integer n is to be selected at random from 1 to 400, inclusive, what is probability n(n+1) will be divisible by 8? Answer Choice: (A) 1/4 (B) 1/8 (C) 1/2 (D) 2/3 (E) 3/4
Answer: A
Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern? Answer Choice: (A) 20 1/2 hours (B) 20 1/8 hours (C) 20 3/2 hours (D) 80 1/2 hours (E) 10 1/2 hours
Answer: A
A certain music store stocks 800 cellos and 600 violas. Of these instruments, there are 70 cello-viola pairs, such that a cello and a viola were both made with wood from the same tree (each tree can make at most one viola and one cello, so there are no pairs other than these 90). If one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree? Answer Choice: (A) 3/16,000 (B) 1/8,100 (C) 7/48,000 (D) 1/90 (E) 2/45
Answer: C
In a carton there are balls of 10 different colors. What is the least number of balls that you have to take out so that you will have a matching pair?(Assuming that all the balls are of same size but different colors) Answer Choice: (A) 12 (B) 6 (C) 9 (D) 11 (E) 15
Answer: D
If the sum of three consecutive even numbers is 44 more than the average of these numbers, then the largest of these numbers is? Answer Choice: (A) 20 (B) 24 (C) 22 (D) 26 (E) 27
Answer: B
If m is a positive integer and m^2 is divisible by 36, then the largest positive integer that must divide m is? Answer Choice: (A)  3 (B)  6 (C)  8 (D)  12 (E)  16
Answer: D
The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 7 consecutive integers that start with (m + 2)? Answer Choice: (A) m + 3 (B) n + 6 (C) n + 3 (D) m + 4 (E) n + 4
Answer: C
In one hour, a boat goes 12 km/hr along the stream and 8 km/hr against the stream. The speed of the boat in still water (in km/hr) is: Answer Choice: (A) 1 km/hr (B) 2 km/hr (C) 10 km/hr (D) 11 km/hr (E) 12 km/hr
Answer: C
A pizza is divided into 12 slices. If there are eight slices left, what fraction of the pizza is remaining? Answer Choice: (A) 1/2 (B) 1/3 (C) 2/7 (D) 2/3 (E) none of the above
Answer: D
The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's? Answer Choice: (A) 3.4 (B) 3.8 (C) 4 (D) 4.2 (E) 4.6
Answer: E
A and B invested in a business. They earned some profit which they divided in the ratio of 2:3. If A invested Rs.40, 000, the amount invested by B is: Answer Choice: (A) Rs. 65,000 (B) Rs. 70,000 (C) Rs. 80,000 (D) Rs. 90,000 (E) Rs. 60,000
Answer: E
If air is called green , green is called blue, blue is called blue, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ? Answer Choice: (A) Blue (B) Sky (C) Water (D) Yellow (E) Black
Answer: A
|x+1| – |4-x| = |8+x| How many solutions will this equation have? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: D
Speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. A man rows to a place at a distance of 4864 km and comes back to the starting point. The total time taken by him is: Answer Choice: (A) 200 hours (B) 400 hours (C) 900 hours (D) 700 hours (E) 600 hours
Answer: D
The cost price of an article is 25% of the marked price. Calculate the gain percent after allowing a discount of 50%. Answer Choice: (A) 25% (B) 50% (C) 100% (D) 150% (E) none
Answer: C
What is the 23th digit to the right of the decimal point in the decimal form of 36/66? Answer Choice: (A) 3 (B) 4 (C) 8 (D) 9 (E) 6
Answer: B
A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 10 inches, then what is the maximum number of soap boxes that can be placed in each carton? Answer Choice: (A) 210 (B) 252 (C) 280 (D) 150 (E) 420
Answer: D
If a-b= 10 and a^2+b^2=150, find the value of ab Answer Choice: (A) 10 (B) 12 (C) 25 (D) 18 (E) 19
Answer: C
In how many years does a sum of Rs. 4500 yield a simple interest of Rs. 16000 at 15% p.a.? Answer Choice: (A) 23.7 years (B) 24.7 years (C) 25.7 years (D) 26.7 years (E) 27.7 years
Answer: A
If m is the average (arithmetic mean) of the first 10 positive multiples of 8 and if M is the median of the first 10 positive multiples of 8, what is the value of M – m ? Answer Choice: (A)  –5 (B)  24 (C)  5 (D)  25 (E)  5
Answer: E
For four days of work, a clerk had daily earnings of $190, $180, $190, and $190 respectively. In which of the following intervals does the standard deviation of the daily earnings lie? Answer Choice: (A) Between $10 and $100 (B) Between $25and $50 (C) Between $0 and $10 (D) Between $50 and $100 (E) Between $20 and $40
Answer: C
A small college reduced its faculty by approximately 25 percent to 195 professors. What was the original number of faculty members? Answer Choice: (A) 182 (B) 260 (C) 224 (D) 254 (E) 302
Answer: B
What is the probability of getting equilateral triangles from the vertices of regular hexagon? Answer Choice: (A) 1/10 (B) 2/10 (C) 3/10 (D) 4/10 (E) 5/10
Answer: A
The simple interest at b% for b years will be $b on a sum of Answer Choice: (A) $ (1000)/b (B) $(100)b^2 (C) $ b (D) $ (100)/b (E) $ 100b
Answer: D
The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length R of a cube whose surface area is equal to 6z? Answer Choice: (A) R=16 (B) R=8√2 (C) R=8 (D) R=2√2 (E) (√2)/3
Answer: D
A man can row upstream at 12 kmph and downstream at 38 kmph, and then find the speed of the man in still water? Answer Choice: (A) 11 (B) 25 (C) 30 (D) 88 (E) 34
Answer: B
Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 10 inches tall. How tall are the sculpture andbase together? Answer Choice: (A) 3.1 feet (B) 3.66 feet (C) 3.3 feet (D) 3.4 feet (E) 3.5 feet
Answer: B
Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 45 percent were employees, what percent were stockholders who were not employees? Answer Choice: (A)  34% (B)  38% (C)  45% (D)  53% (E)  55%
Answer: E
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream? Answer Choice: (A) 70, 10 kmph (B) 35, 27 kmph (C) 50, 60 kmph (D) 80, 20 kmph (E) 45, 65 kmph
Answer: D
Find the value of y from (12)^3 x 6^4 ÷ 432 = y? Answer Choice: (A) 2560 (B) 3400 (C) 3690 (D) 4500 (E) 5184
Answer: E
There is a number which is greater than the aggregate of its third. tenth and the twelfth parts by 58
Can you find the number? Answer Choice: (A) 125 (B) 153 (C) 120 (D) 234 (E) 116
Answer: C
In order to obtain an income of Rs. 580 from 15% stock at Rs. 100, one must make an investment of Answer Choice: (A) 5363 (B) 6240 (C) 8700 (D) 5600 (E) 2732
Answer: C
6, 11, 21, 36, 56, 81, 111, ? Answer Choice: (A) 512 (B) 146 (C) 812 (D) 612 (E) 912
Answer: B
90, 180, 12, 50, 100, 80, ?, 3, 20, 4, 25, 2, 6, 30, 3 Answer Choice: (A) 100 (B) 150 (C) 180 (D) 90 (E) 60
Answer: E
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in? Answer Choice: (A) 2 days (B) 3 days (C) 4 days (D) 5 days (E) 6 days
Answer: B
If 30% of a number exceeds 20% of it by 18, then find the number? Answer Choice: (A) 120 (B) 200 (C) 180 (D) 150 (E) None of these
Answer: C
A tank with a volume of 20 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 9 cubic inches/min and 8 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches) Answer Choice: (A) 2110 (B) 2220 (C) 2440 (D) 2660 (E) 2880
Answer: E
Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only one Englishman knows French. What is the minimum number of phone calls needed for the above purpose? Answer Choice: (A) 5 (B) 8 (C) 11 (D) 15 (E) 17
Answer: B
A person is traveling at 25km/hr and reached his destiny in 6hr find the distance? Answer Choice: (A) A)100km (B) B)95km (C) C)135km (D) D)150km (E) E)125km
Answer: D
The average age of students in section A of 124 students is 23 years and the average age of students in section B of 159 students is 39 years. Find the average age of students in both sections taken together? Answer Choice: (A) 26 years (B) 32years (C) 15years (D) 25years (E) 20years
Answer: B
The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is Answer Choice: (A) 4.37% (B) 5% (C) 6% (D) 8.75% (E) None
Answer: B
At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 10:5. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed? Answer Choice: (A) 4/10 (B) 4/9 (C) 6/5 (D) 9/2 (E) 6/4
Answer: B
A car was driving at 66 Km/h for 30 minutes, and then at 100 Km/h for another 45 minutes. What was its average speed? Answer Choice: (A) 84. (B) 75. (C) 70. (D) 65. (E) 54.
Answer: A
Simple interest on a certain sum at a certain annual rate of interest is 1/4 of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is: Answer Choice: (A) 4 %. (B) 25/4 %. (C) 5 % (D) 6 %. (E) 3 %.
Answer: C
A group of 5 friends—Archie, Betty, Jerry, Moose, and Veronica—arrived at the movie theater to see a movie. Because they arrived late, their only seating option consists of 3 middle seats in the front row, an aisle seat in the front row, and an adjoining seat in the third row. If Archie, Jerry, or Moose must sit in the aisle seat while Betty and Veronica refuse to sit next to each other, how many possible seating arrangements are there? Answer Choice: (A) 32 (B) 36 (C) 48 (D) 72 (E) 120
Answer: C