loafeihong/math_mmlu_format huggingface dataset:
How long does a train 200 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length? Answer Choice: (A) 82.1 sec (B) 12.1 sec (C) 16.1 sec (D) 13.1 sec (E) 16.6 sec
Answer: E
Two trains leave the same train station at 6:00 am and 6:30 am and they travel at 100 kph and 120 kph respectively. How many kilometers from the train station will the two trains be together? Answer Choice: (A) 300 (B) 320 (C) 340 (D) 360 (E) 380
Answer: A
One hour after Matthew started waking from e to y, a distance of 45km, Johnny started walking along the same road from y to e. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met? Answer Choice: (A) 24 (B) 23 (C) 22 (D) 21 (E) 19.5
Answer: A
what is the Max number of rectangular boxes, each measuring 4 inches by 6 inches by 10 inches, that can be packed into a rectangular packing box measuring 16 inches by 18 inches by 30 inches, if all boxes are aligned in the same direction? Answer Choice: (A) 36 (B) 14 (C) 12 (D) 15 (E) 11
Answer: A
In an arithmetic progression the difference between the any two consecutive terms is a constant. What is the arithmetic mean of all of the terms from the first to the 29th in an arithmetic progression if the sum of the 13th and 17th terms of the sequence is 102? Answer Choice: (A) 43 (B) 47 (C) 51 (D) 55 (E) 59
Answer: C
Hariprasad and Madhusudan started a business, investing sums in the ratio of 2 : 3. If Hariprasad had invested an additional amount of 10,000 the ratio of Hariprasad's investment to Madhusudan's investment would have been 3 : 2. What was the amount invested by Hariprasad? Answer Choice: (A) 8000 (B) 12000 (C) 9000 (D) Data inadequate (E) None of these
Answer: A
In 1950, Richard was 4 times as old as Robert. In 1955, Richard was 3 times as old as Robert. In which year was Richard 1.5 times as old as Robert? Answer Choice: (A) 1960 (B) 1965 (C) 1970 (D) 1975 (E) 2000
Answer: E
In a hot dog eating contest the average number of hot dogs that were eaten by boys was 7 each, and the average number eaten by girls was 5 each. If the total number of hot dogs eaten during the contest was 50, what was the total number of boys and girls in the contest? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10
Answer: C
A certain restaurant offers 8 different salads, 6 different main courses, 6 different desserts. If customers choose one salad, one main course and two different desserts for their meal, how many different meals are possible? Answer Choice: (A) 120 (B) 240 (C) 480 (D) 600 (E) 1200
Answer: A
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 650 sq. feet, how many feet of fencing will be required? Answer Choice: (A) 34 (B) 40 (C) 85 (D) 88 (E) None
Answer: C
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price? Answer Choice: (A) 1533 (B) 1543 (C) 1500 (D) 1278 (E) 1202
Answer: C
A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 1/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 5% less than the price each head sold for on the day before. What was the total gross profit on this shipment. Answer Choice: (A) $100 (B) b $115 (C) c $120 (D) d $125 (E) e $135
Answer: D
30 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ? Answer Choice: (A) 20 (B) 77 (C) 36 (D) 25 (E) 13
Answer: A
QUANT 4-PACK SERIES Problem Solving Pack 4 Question 2 For every positive integer n...
For every positive integer n that is greater than 1, the function a(n) is defined to be the sum of all of the odd integers from 1 to n, inclusive. The a(n) could have any of the following units digits except…? Answer Choice: (A) 1 (B) 2 (C) 4 (D) 6 (E) 9
Answer: B
A towel, when bleached, lost 30% of its length and 25% of its breadth. What is the percentage decrease in area? Answer Choice: (A) 24% (B) 30 % (C) 44% (D) 54% (E) 47.5%
Answer: E
A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $7 per unit. Further, the manufacturer has costs of $16,500 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs don't exceed the revenues? Answer Choice: (A) $28 (B) $82 (C) $110 (D) $138 (E) $197
Answer: E
2 hours after a freight train leaves Delhi a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was? Answer Choice: (A) 30 (B) 40 (C) 58 (D) 60 (E) 11
Answer: E
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 12 miles per gallon, and from Town B to Town C, the car averaged 11 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) 13 (B) 13.5 (C) 14 (D) 14.5 (E) 15.3
Answer: B
If 5 less than x is 2 greater than y, then a number z that is 5 greater than x reduced by y is equal to Answer Choice: (A) 12 (B) 9 (C) 14 (D) y + 9 (E) y + 14
Answer: A
An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 6 stocks are possible?
-- Answer Choice: (A) 12 (B) 19 (C) 60 (D) 160 (E) 180
Answer: E
A trader marked the selling price of an article at 10% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of : Answer Choice: (A) 10 % (B) 10.5 % (C) 11 % (D) 12.5 % (E) None
Answer: A
Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many Y miles will Tom drive before Karen wins the bet? Answer Choice: (A) 15 (B) 18 (C) 21 (D) 24 (E) 27
Answer: D
The price of a scooter and TV are in the ratio 7:5. If the scooter costs $100 more than the TV. then the price of the TV? Answer Choice: (A) 400 (B) 350 (C) 250 (D) 500 (E) 150
Answer: B
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6900? Answer Choice: (A) s. 4991 (B) s. 5991 (C) s. 6001 (D) s. 6991 (E) s. 7391
Answer: E
In an animal behavior experiment, 25 tagged white pigeons and 250 tagged gray pigeons were released from a laboratory. Within one week, 88 percent of the white pigeons and 80.5 percent of the gray pigeons had returned to the laboratory. What percent of the total number of pigeons returned to the laboratory? Answer Choice: (A) 80.5 (B) 82 (C) 81.5 (D) 85 (E) 81.25
Answer: E
If four boxes of crayons contain six different colored crayons in each box, and a crayon is randomly selected from each box, what is the probability of getting at least one pair of the same colored crayons? Answer Choice: (A) 13/18 (B) 5/18 (C) 1/2 (D) 2/3 (E) 1/6
Answer: A
A certain quantity is measured on two different scales, the R scale and the S scale, that are related linearly. Measurements on the R scale of 6 and 24 correspond to the measurements on the S scale of 30 and 60 respectively. What measurement on the R scale corresponds to a measurement of 75 on the S scale? Answer Choice: (A) 30 (B) 33 (C) 36 (D) 39 (E) 42
Answer: B
John invested $ 30000 at 7% per annum, He got 34347 after some period, The interest was calculated compoundly. Find the period? Answer Choice: (A) 2 Years (B) 2 1/2 Years (C) 3 Years (D) 4 Years (E) 3 1/2 Years
Answer: A
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is: Answer Choice: (A) 35 years (B) 40 years (C) 50 years (D) 45 years (E) None of these
Answer: B
A call center has two teams. Each member of Team A was able to process 2/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B? Answer Choice: (A) 3/2 (B) 3/4 (C) 4/5 (D) 1/2 (E) 1/5
Answer: C
A grocer has 400 pounds of coffee in stock, 30 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated? Answer Choice: (A) 28% (B) 30% (C) 36% (D) 36% (E) 40%
Answer: D
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25
x = 5.
Hence, B's age = 2x = 10 years. Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: D
A reduction of 10% in the price of rice enables a man to obtain 2 kgs more for Rs.1000, what is the reduced price for kg? Answer Choice: (A) Rs.40 (B) Rs.44 (C) Rs.46 (D) Rs.48 (E) Rs.50
Answer: E
A, B and C can do a work in 4 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work? Answer Choice: (A) 2 9/11 days (B) 5 2/11 days (C) 2 1/11 days (D) 3 2/11 days (E) 2 2/11 days
Answer: E
A monkey start climbing up a tree 20ft tall.Each hour it hops 3 ft and slips back 2ft.How much time would it take the monkey to reach the top. Answer Choice: (A) 15 hrs (B) 18 hrs (C) 19 hrs (D) 17 hrs (E) 16 hrs
Answer: B
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 2 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ? Answer Choice: (A) A)5 (B) B)61 (C) C)8 (D) D)6 (E) E)9
Answer: D
How many digits are in the number 50^8 × 8^3 × 11? Answer Choice: (A) 18 (B) 20 (C) 19 (D) 22 (E) 17
Answer: A
If the average (arithmetic mean) of a and b is 140, and the average of b and c is 100, what is the value of a − c? Answer Choice: (A) −220 (B) −100 (C) 100 (D) 135 (E) 80
Answer: E
If [x] is the greatest integer less than or equal to x, what is the value of [-6.2]+[-3.4]+[12.7] ? Answer Choice: (A)  -1 (B)  0 (C)  1 (D)  2 (E)  3
Answer: A
Pipe P can drain the liquid from a tank in 1/4 the time that it takes pipe Q to drain it and in 2/3 the time that it takes pipe R to do it. If all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe Q drains what portion of the liquid from the tank? Answer Choice: (A) 9/29 (B) 3/23 (C) 3/8 (D) 17/29 (E) 3/4
Answer: B
Find the sum which will yield an interest of Rs.910 in 2 1/2 years at 7% p/a simple interest. Answer Choice: (A) Rs.3200 (B) Rs.4200 (C) Rs.6200 (D) Rs.5200 (E) Rs.7200
Answer: D
John has taken four (4) tests that have an average of 81. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade? Answer Choice: (A) 87 (B) 90 (C) 92 (D) 94 (E) 99
Answer: E
The H.C.F. of two numbers is 59 and the other two factors of their L.C.M. are 13 and 16. The larger of the two numbers is: Answer Choice: (A) 678 (B) 944 (C) 456 (D) 323 (E) 899
Answer: B
In the first M games of a team's season, the ratio of the team's wins to its losses was 1:2. In the subsequent N games, the ratio of the team´s wins to losses was 1:4. If M:N = 4:5, what was the ratio of the team's wins to its losses for all M+N games? Answer Choice: (A) 7:20 (B) 9:23 (C) 11:27 (D) 23:54 (E) 31:77
Answer: A
A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be Answer Choice: (A) 1,2 (B) 2,3 (C) 3,7 (D) 2,7 (E) 8,7
Answer: B
Which of the following is equal to 10^-(-3)^3? Answer Choice: (A) 1/(10^30) (B) 1/(10^28) (C) 1/(10^29) (D) 1/(10^27) (E) 1/(10^25)
Answer: D
3 men or 6 women can do a piece of work in 24 days. In how many days will 12 men and 8 women do the same work? Answer Choice: (A) 15/9 days (B) 9/2 days (C) 18/4 days (D) 11/4 days (E) 35/4 days
Answer: B
In what time will Rs.5000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest? Answer Choice: (A) 6 2/3 (B) 6 1/6 (C) 6 1/3 (D) 6 1/2 (E) 6 1/5
Answer: A
Jack takes a loan of $120,000 with 12% annual interest: the interest is paid once, at the end of the year. Jill takes a loan of $120,000 with 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Jack's loan interest, approximately how much more does Jill have to repay? Answer Choice: (A) Zero (B) $81.90 (C) $8190.03 (D) $819.00 (E) $8.19
Answer: D
shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent? Answer Choice: (A) 8% (B) 9% (C) 3% (D) 4% (E) 2%
Answer: D
In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? Answer Choice: (A) 400 (B) 625 (C) 1250 (D) 2500 (E) 10000
Answer: C
A group of two women and three men have tickets for seven adjacent seats in one row of a theatre. If the three men will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers? Answer Choice: (A)  7! – 2!3!2! (B)  7! – 4!3! (C)  5! – 3!3! (D)  7 × 2!3!2! (E)  2!3!2!
Answer: C
The product of two numbers is 2028 and their H.C.F is 13. The number of such pairs is? Answer Choice: (A) 7 (B) 2 (C) 3 (D) 4 (E) 9
Answer: B
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is? Answer Choice: (A) 276 m (B) 256 m (C) 120 m (D) 216 m (E) 268 m
Answer: C
The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 24th of September 1990? Answer Choice: (A) Monday (B) Tuesday (C) Wednesday (D) Thursday (E) Friday
Answer: A
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is : Answer Choice: (A) 7.5 % (B) 8 % (C) 9.7 % (D) None of these (E) Cannot be determined
Answer: B
If a man were to sell his chair for Rs. 720, he would lose 25%. To gain 25% he should sell it for: Answer Choice: (A) Rs. 1,200 (B) Rs. 1,000 (C) Rs. 960 (D) Rs. 900 (E) None
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) 288 (B) 298 (C) 245 (D) 200 (E) 212
Answer: C
A and B invests Rs.10000 each, A investing for 4 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.4000, find their shares? Answer Choice: (A) 1000,3500 (B) 1000,3000 (C) 1000,2000 (D) 1000,5000 (E) 1000,2500
Answer: B
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 28 years. Find the average age of the women? Answer Choice: (A) 87 (B) 98 (C) 32 (D) 28 (E) 37
Answer: C
Each of the following equations has at least one solution EXCEPT C. Is it true? Answer Choice: (A) 2* -a = (–2)*a (B) 2*a = (–2)*-a (C) -2*a = -2-a (D) (–2)a = –2a (E) (–2)-a = –2-a
Answer: C
A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is Answer Choice: (A) 200000 (B) 20000 (C) 200029 (D) 288778 (E) 277789
Answer: B
One-third less than 15% of 180 is equal to: Answer Choice: (A) 18 (B) 30 (C) 35 (D) 40 (E) 45
Answer: A
Let y=1+1/2+1/3+1/2+......, what is the value of y ? Answer Choice: (A) (√11 + 3 ) / 2 (B) (√11 - 3 ) / 2 (C) (√15 + 3 ) / 2 (D) (√15 - 3 ) / 2 (E) None of these
Answer: D
What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23? Answer Choice: (A) 1 (B) 2 (C) 4 (D) 6 (E) 7
Answer: B
A person says that their speed while going to a city was 10mph however while
returning as there is no much traffic they came with a speed of 15mph. what is their
average speed? Answer Choice: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16
Answer: A
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train. Answer Choice: (A) 150 m (B) 145 m (C) 140 m (D) 135 m (E) 155 m
Answer: A
Rahim bought 65 books for Rs.1160 from one shop and 50 books for Rs.920 from another. What is the average price he paid per book ? Answer Choice: (A) Rs.18.28 (B) Rs.20 (C) Rs.18.08 (D) Rs.28.08 (E) Rs.38.08
Answer: C
If an object travels 70 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet) Answer Choice: (A) 15.95 (B) 17.28 (C) 19.54 (D) 21.73 (E) 23.86
Answer: E
Meena wrote all the numbers from 1 to 29,999 inclusive. How many digits did she write in total? Answer Choice: (A) 118,889 (B) 138,889 (C) 159,889 (D) 188,789 (E) 188,989
Answer: B
Two taps can separately fill a cistern 5 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in? Answer Choice: (A) A)7 (B) B)6 (C) C)8 (D) D)9 (E) E)4.74
Answer: E
Evaluate: 50 - 12*3*2 = ? Answer Choice: (A) 62 (B) 52 (C) 32 (D) 12 (E) 42
Answer: E
In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1365, and if 1< p < q < r < s, how many students in the class are marketing majors? Answer Choice: (A) 3 (B) 5 (C) 7 (D) 11 (E) 17
Answer: C
What is the probability of getting a sum 9 from two throws of dice Answer Choice: (A) 1/3 (B) 1/9 (C) 1/12 (D) 2/9 (E) None of these
Answer: B
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m? Answer Choice: (A) 3901 (B) 3909 (C) 3929 (D) 3900 (E) 3912
Answer: D
In an examination, a student scores 4 marks for every correct answer and loses I mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is: Answer Choice: (A) 35 (B) 38 (C) 40 (D) 42 (E) 45
Answer: B
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 25 percent on food, and 25 percent on other items. If Jill paid a 10 percent tax on the clothing, no tax on the food, and an 20 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes? Answer Choice: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25
Answer: B
When x - p is divided by p , the quotient is n and there is no remainder. Which of the following must be the value of x? Answer Choice: (A) p(n + 1) (B) n(p + 1) (C) p(n + 1) + 2n (D) p(n - 1) + 2n (E) n(p + 1) (p − 1)
Answer: A
Last year, Company X paid out a total of $1,050,000 in salaries to its 21 employees. If no employee earned a salary that is more than 8% greater than any other employee, what is the lowest possible salary that any one employee earned? Answer Choice: (A)  $40,000 (B)  $41,667 (C)  $42,000 (D)  $46,460.17 (E)  $60,000
Answer: D
2 chairs and 1 table cost $110. 4 chairs and 1 table cost $166. How much does one chair cost? Answer Choice: (A) 26 (B) 56 (C) 110 (D) 28 (E) 54
Answer: D
Find a sum for first 4 prime no's from number series? Answer Choice: (A) 24 (B) 28 (C) 30 (D) 17 (E) 36
Answer: D
After giving a discount of rs.45 the shopkeeper gets a loss of 10%,if the cost price is rs.180.find the markup %? Answer Choice: (A) 0.21 (B) 0.2 (C) 0.17 (D) 0.21 (E) 0.15
Answer: E
A man buys a cycle for Rs. 1400 and sells it at a loss of 12%. What is the selling price of the cycle? Answer Choice: (A) s. 1090 (B) s. 1160 (C) s. 1232 (D) s. 1202 (E) s. 1204
Answer: C
The cost of painting the four walls of a room is Rs.350. The cost of painting a room three times in length, breadth and height will be : Answer Choice: (A) Rs.1050 (B) Rs.1400 (C) Rs.3150 (D) Rs.4200 (E) None
Answer: C
The average of 13 numbers is 59. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number? Answer Choice: (A) 59 (B) 83 (C) 45 (D) 53 (E) 64
Answer: A
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 24 metre of cloth ? Answer Choice: (A) 175 seconds (B) 195 seconds (C) 155 seconds (D) 188 seconds (E) 115 seconds
Answer: D
An investor bought a 1-year $7,000 certificate of deposit that paid interest at an annual rate of 10 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity? Answer Choice: (A) $350 (B) $367.25 (C) $700 (D) $717.50 (E) $1400
Answer: D
A sum of Rs.2200 has been divided among A, B and C such that A gets 1/4 of what B gets and B gets 1/5 of what C gets. What is B's share? Answer Choice: (A) 342 (B) 352 (C) 322 (D) 332 (E) 362
Answer: B
1,3,5,7,9,..50 find term of sequnce Answer Choice: (A) 1230 (B) 1300 (C) 1500 (D) 1679 (E) 2500
Answer: E
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A? Answer Choice: (A) 157 (B) 169 (C) 197 (D) 280 (E) 176
Answer: D
A pet store owner has 12 cats and 20 dogs. They want to have 20% more cats than dogs. How many dogs do they have to sell to achieve their goal of having 20% more cats than dogs assuming they do not sell any cats in this time. Answer Choice: (A) 6 (B) 8 (C) 10 (D) 12 (E) 14
Answer: D
A inlet pipe can fill a tank in 12 hours and an outlet pipe can empty the tank in 16 hours. If both the pipes are opened simultaneously, find the time taken to fill the tank. Answer Choice: (A) 36 hours (B) 12 hours (C) 4 hours (D) 48 hours (E) 58 hours
Answer: D
If the average of 20 digits is 500 and the average of 14 of them is 390, calculate the average of the remaining 6 numbers? Answer Choice: (A) 756.7 (B) 751.7 (C) 753.7 (D) 752.7 (E) 722.7
Answer: A
The instructions state that Cheryl needs 4/9 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 6/12 square yards left that she did not use. What is the total amount of square yards of material Cheryl used? Answer Choice: (A) 1/12 (B) 1/9 (C) 2/3 (D) 1 1/9 (E) 11/18
Answer: E
A woodworker normally makes a certain number of parts in 24 days. But he was able to increase his productivity by 5 parts per day, and so he not only finished the job in only 22 days but also he made 80 extra parts. How many parts does the woodworker normally makes per day and how many pieces does he make in 24 days? Answer Choice: (A) 240 (B) 420 (C) 560 (D) 190 (E) 360
Answer: E
An investment of y dollars at p percent simple interest yields $600 interest over a 3-year period. In terms of y, what dollar amount invested at the same rate will yield the same amount of interest over a 2-year period? Answer Choice: (A) 2/3 y (B) 3/4 y (C) 3/2 y (D) 2y (E) 3y
Answer: C