loafeihong/math_mmlu_format huggingface dataset:
A five feet long staff casts a shadow 2 feet long. Can you find the height of a steeple whose shadow at the same hour, is 120 ft. long? Answer Choice: (A) 200 feet (B) 220 feet (C) 510 feet (D) 400 feet (E) 700 feet
Answer: A
Nine men went to a hotel. Eight of them spent Rs.3 each over their meals and the ninth spent Rs.2 more than the average expenditure of all the nine. Determine the total money spent by them? Answer Choice: (A) 29.25 (B) 29.28 (C) 29.29 (D) 29.12 (E) 29.19
Answer: A
At the end of year X, automobile installment credit accounted for 35% of all outstanding consumer installment credit. At that time automobile finance companies extended $40 billion of credit, or 1/3 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that time? Answer Choice: (A) 120 (B) 300 (C) 401.36 (D) 350.15 (E) 342.86
Answer: E
One ball is picked up randomly from a bag containing 8 yellow, 7 blue and 6 black balls. What is the probability that it is neither yellow nor black? Answer Choice: (A) 1/3 (B) 1/4 (C) 1/2 (D) 3/4 (E) 1/5
Answer: A
The average of 11 numbers is 10.9. If the average of first six is 10.1 and that of the last six is 11.4 the sixth number is? Answer Choice: (A) 9.5 (B) 10 (C) 10.5 (D) 9.1 (E) 12
Answer: D
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 4 years? Answer Choice: (A) 20300 (B) 20400 (C) 20730 (D) 20500 (E) 20600
Answer: C
A is twice as good a workman as B and they took 10 days together to do the work B alone can do it in? Answer Choice: (A) 25 days (B) 88 days (C) 30 days (D) 11 days (E) 13 days
Answer: C
The number of sequences in which 7 players can throw a ball, so that the youngest player may not be the last is -. Answer Choice: (A) 1879 (B) 7899 (C) 4320 (D) 1680 (E) 1692
Answer: C
A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orange candies, twice as many strawberry candies as grape candies, and twice as many apple candies as strawberry candies. If each candy cost $0.3, and there are exactly 90 candies, what is the minimum amount of money required to guarantee that you would buy at least three of each type of candy? Answer Choice: (A) $3.00 (B) $20.75 (C) $24.90 (D) $42.75 (E) $45.00
Answer: C
John.s car dealership contains m cars, 20% of which are minivans and 80% are sedans. Kevin's car dealership contains n cars, 40% of which are minivans are 60% are trucks. Larry's car dealership contains p cars, 50% of which are minivans and 50% of which are convertibles. If 25% of the m + n + p cars contained at the three dealerships are minivans, what is m in terms of n and p? Answer Choice: (A) n + 3p (B) 3n + 5p (C) 4n + 5p (D) (n+5p)/2 (E) (4n+5p)/3
Answer: B
A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number ? Answer Choice: (A) 130 (B) 155 (C) 490 (D) 140 (E) 160
Answer: D
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes? Answer Choice: (A) 6/18 (B) 6/11 (C) 6/68 (D) 6/19 (E) 6/12
Answer: B
Sari and Ken climb up a mountain. At night, they camp together. On the day they are supposed to reach the summit, Sari wakes up at 05:00 and starts climbing at a constant pace. Ken starts climbing only at 07:00, when Sari is already 700 meters ahead of him. Nevertheless, Ken climbs at a constant pace of 500 meters per hour, and reaches the summit before Sari. If Sari is 50 meters behind Ken when he reaches the summit, at what time did Ken reach the summit? Answer Choice: (A) 13:00 (B) 13:30 (C) 14:00 (D) 15:00 (E) 12:00
Answer: E
list of salaries of 8 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,000, $43,000, $30,000, $27,000, $32,000 Answer Choice: (A) $28,000 (B) $28,500 (C) $30,200 (D) $30,800 (E) $31,500
Answer: E
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.64, find the sum of money? Answer Choice: (A) 328 (B) 262 (C) 72 (D) 205 (E) 267
Answer: A
3 persons (1 couple and 1 single) are seated at random in a row of 5 chairs. What is the probability that the couple does not sit together? Answer Choice: (A) 5/7 (B) 4/5 (C) 2/5 (D) 3/5 (E) 11/18
Answer: D
The price of sugar is increased by 20%. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is : Answer Choice: (A) 1:3 (B) 1:4 (C) 1:6 (D) 1:5 (E) None
Answer: C
A Man can row upstream at 87kmph and downward stream at 47 kmph. Find Man's rate of the current Answer Choice: (A) 87km/hr (B) 20km/hr (C) 65km/hr (D) 2.8km/hr (E) 4.4km/hr
Answer: B
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train? Answer Choice: (A) 65 Kmph (B) 68 Kmph (C) 97 Kmph (D) 16 Kmph (E) 17 Kmph
Answer: B
The simple interest on a certain sum of money at the rate of 5% p.a. for 8 years is Rs. 840. At what rate of intrest the same amount of interest can be received on the same sum after 5 years. Answer Choice: (A) 5% (B) 6% (C) 7% (D) 8% (E) 9%
Answer: D
Three interviewers, A, B, and C are interviewing 50 applicants. Only with three interviewers' admission can an applicant be admitted. If interviewer A admitted 20 applicants, B admitted 22 applicants, and C admitted 20 applicants, at least how many applicants get the admission? Answer Choice: (A)  4 (B)  0 (C)  6 (D)  8 (E)  12
Answer: B
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 4 employees to 2 different offices? Answer Choice: (A) 10 (B) 15 (C) 14 (D) 16 (E) 18
Answer: D
For how many values of N, is |||N - 5| -10| -5| = 2?
(Those ls are mods) Answer Choice: (A)  0 (B)  2 (C)  4 (D)  8 (E)  More than 8
Answer: D
Find large no. 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 35 as remainder Answer Choice: (A) 1235 (B) 1456 (C) 1567 (D) 1678 (E) 1631
Answer: E
Praveen starts business with Rs.3780 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital? Answer Choice: (A) s.7500 (B) s.8000 (C) s.8500 (D) s.9720 (E) s.6000
Answer: D
A 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec. What is the length of the platform? Answer Choice: (A) 287 (B) 350 (C) 828 (D) 277 (E) 400
Answer: E
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.90 only. Men’s wages are? Answer Choice: (A) 6 (B) 5 (C) 2 (D) 7 (E) 2
Answer: A
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. Find the age of the new person? Answer Choice: (A) 12 (B) 88 (C) 66 (D) 44 (E) 12
Answer: C
The average score of a cricketer for ten matches is 38.9 runs. If the average for first six matches is
42, then average for last four matches is Answer Choice: (A) 33.25 (B) 32.25 (C) 34.25 (D) 34.5 (E) None of these
Answer: C
If a is an even integer and b is an odd integer which of the following must be an even integer : Answer Choice: (A) a/b (B) ab (C) 2a+b (D) 2(a+b) (E) option A B and D
Answer: E
a, b, c, and d are positive consecutive odd integers and a < b < c < d.
If you take away the last number from the square of the first number, you get a number that is three more than the sum of the last three numbers. What is the product of ac? Answer Choice: (A) 35 (B) 77 (C) 101 (D) 39 (E) 18
Answer: B
The averge score of a cricketer for ten matches is 41 runs. If the average for the first six matches is 35. Then find the average for the last four matches? Answer Choice: (A) 50 (B) 55 (C) 60 (D) 45 (E) 48
Answer: A
A worker is paid a regular rate of Rs.10 for completing a survey. The worker completes 50 surveys per week. For any survey involving the use of her cellphone, she is paid at a rate of that is 30% higher than her regular rate. If she completed 35 surveys involving the use of her cellphone, how much did she get that week? Answer Choice: (A) 605 (B) 505 (C) 105 (D) 100 (E) 200
Answer: A
Along a yard 255 metres long, 18 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between two consecutive trees Answer Choice: (A) 18 (B) 15 (C) 10 (D) 11 (E) 12
Answer: B
Lucas and David are partners in a business, they invested Rs. 30,000 and Rs. 45,000 respectively.If the business yielded a total profit of Rs. 18,500, what is David's share? Answer Choice: (A) 13400 (B) 11520 (C) 15700 (D) 11100 (E) 11142
Answer: D
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 46 years now, the son's age five years back was? Answer Choice: (A) 16 years (B) 14 years (C) 18 years (D) 19 years (E) 15 years
Answer: C
If a and b are positive integers such that a/b = 2.86, which of the following must be a divisor of a? Answer Choice: (A) 10 (B) 13 (C) 18 (D) 26 (E) 50
Answer: A
A metallic sheet is of rectangular shape with dimensions 50 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is: Answer Choice: (A) 5440 (B) 5120 (C) 6420 (D) 7500 (E) 8960
Answer: A
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is: Answer Choice: (A) 49 m2 (B) 50 m2 (C) 53.5 m2 (D) 55 m2 (E) 57 m2
Answer: A
A monkey ascends a greased pole 18 metres high. He ascends 2 metres in first minute and slips down 1 metre in the alternate minute. In which minute, he reaches the top ? Answer Choice: (A) 21st (B) 22nd (C) 33rd (D) 24th (E) None of these
Answer: C
If u r genius solve it:-
50 * 15 = 12
40 * 14 = 11
30 * 13 = ? Answer Choice: (A) 2 (B) 12 (C) 6 (D) 8 (E) 10
Answer: B
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes? Answer Choice: (A) 21 (B) 77 (C) 99 (D) 17 (E) 13
Answer: E
Five little kids were walking down the street. At a shop, they saw three brands of chocolates viz. Cadbury, Nestle and Ferrero there. The shopkeeper has three chocolates which are of three different flavors of each brand. The kids bought all the chocolates available and decided to play a game. The chocolates will be distributed only to the winners of that game. Also they have decided that any winner cannot have all three brands of chocolates as his prize. Find the number of ways in which the chocolates can be distributed when there are four winners of the game and the best of them gets at least 4 chocolates? Answer Choice: (A) 12312 (B) 22536 (C) 4320 (D) 11268 (E) 45072
Answer: B
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes? Answer Choice: (A) 7% (B) 5% (C) 9% (D) 4% (E) 1%
Answer: D
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.3 m and its walls are 5 cm thick. The thickness of the bottom is: Answer Choice: (A) 90 cm (B) 3 dm (C) 1 m (D) 1.1 cm (E) None of these
Answer: B
A man sells a horse for Rs.680 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Answer Choice: (A) 287 (B) 679 (C) 780 (D) 860 (E) 898
Answer: C
John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour? Answer Choice: (A) 30 (B) 40 (C) 50 (D) 55 (E) 70
Answer: A
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) 60 gallons (B) 100 gallons (C) 120 gallons (D) 180 gallons (E) 130 gallons
Answer: C
The speeds of three motor bikes are in the ratio 6 : 4 : 2. The ratio between the time taken by them to travel the same distance is : Answer Choice: (A) 2 : 5 : 6 (B) 2 : 4 : 6 (C) 2 : 3 : 6 (D) 2 : 3 : 7 (E) 1 : 3 : 6
Answer: C
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good. Answer Choice: (A) 20/65 (B) 20/63 (C) 20/68 (D) 20/66 (E) 20/29
Answer: B
An arithemetic sequence of numbers begins p, 2p + 3, 4p + 4... What is the 12th member of this sequence? Answer Choice: (A) A)57 (B) B)40 (C) + 13 (D) D)53 (E) + 13
Answer: A
The sector of a circle has radius of 18 cm and central angle 135o. Find its perimeter? Answer Choice: (A) 78.4 cm (B) 11.5 cm (C) 91.8 cm (D) 92.5 cm (E) 99.5 cm
Answer: A
A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year? Answer Choice: (A) 59005 (B) 59007 (C) 59002 (D) 59000 (E) 59001
Answer: D
Question: What is the remainder when I= (1!)!^3 + (2!)^3 + (3!)^3 + … + (432!)^3 is divided by 144? Answer Choice: (A)  0 (B)  25 (C)  49 (D)  81 (E)  100
Answer: D
A shop owner buys a 1280 ounce bag of sugar for resale. How many 1 pound containers can she sell? Answer Choice: (A)  80 (B)  90 (C)  100 (D)  110 (E)  120
Answer: A
A hostess must seat 10 people around 2 circular tables. Table 1 can hold 6 people, table 2 can hold 4 people. If the hostess always seats people at Table 1 first and 2 seating arrangements are said to be different only when the positions of people are different relative to each other at the table, how many seating arrangements are possible? Answer Choice: (A) 5*210 (B) 15!*210 (C) 120*3! (D) 5!*3!*210 (E) 5!*5!*3!
Answer: D
The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row? Answer Choice: (A) 21 years (B) 31 years (C) 44 years (D) 48 years (E) 75 years
Answer: B
If DHOOM is coded as 25 and RACE is coded as 14, then FASHION is coded as Answer Choice: (A) 12 (B) 14 (C) 36 (D) 48 (E) None
Answer: B
1=6,2=36,3=363,4=364,5=365, then 36=? Answer Choice: (A) 1 (B) 2 (C) 345 (D) 445 (E) 235
Answer: B
Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 4200 envelopes. Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 60/7
Answer: B
Truck P and Truck Q drive on the highway in the same direction at respective rates of 70 kph and 75 kph. If Truck Q is 5 km behind Truck P, by how much does Truck P need to increase the speed to catch up with Truck P in 20 minutes? Answer Choice: (A) 6 kph (B) 8 kph (C) 10 kph (D) 12 kph (E) 14 kph
Answer: C
A man can row 6 kmph in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream. Answer Choice: (A) 2 km/hr (B) 12.5 km/hr (C) 1 2.6 km/hr (D) 22.5 km/hr (E) 22.6 km/hr
Answer: A
90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 50% of the total school population of x students, what is x? Answer Choice: (A) 134 (B) 150 (C) 225 (D) 250 (E) 500
Answer: A
A train 100 m long crosses a platform 125 m long in 1 sec; find the speed of the train? Answer Choice: (A) 810 (B) 700 (C) 930 (D) 100 (E) 200
Answer: A
If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss. Answer Choice: (A) $70 (B) $40 (C) $50 (D) $30 (E) $80
Answer: C
Assuming i have an infinite supply of coins.
What is the fewest number of coins would be required in order to make sure each and every coin touched exactly three other coins. Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
If a, b, and c are consecutive odd positive integers and a < b < c, which of the following could be equal to c - b - a+5 ? Answer Choice: (A) -1 (B) -2 (C) -3 (D) 6 (E) -5
Answer: D
Kim bought a total of $1.82 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 3-cent stamps, what is the least number of 1-cent stamps she could have bought? Answer Choice: (A) 25 (B) 32 (C) 45 (D) 60 (E) 75
Answer: B
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit. Answer Choice: (A) 2288 (B) 2778 (C) 3000 (D) 212 (E) 28812
Answer: D
A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2 hours 30 minutes
to cover a distance of 5 km upstream. Find the speed of the current. Answer Choice: (A) 1 km/hr (B) 2 km/hr (C) 3 km/hr (D) 4 km/hr (E) None of these
Answer: A
If 45% of z is 96% of y and y is 75% of x, what percent of x is z? Answer Choice: (A) 200 (B) 160 (C) 100 (D) 65 (E) 50
Answer: B
Pipes A and B can fill a tank in 3 and 5 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in? Answer Choice: (A) 60/17 hr (B) 12/19 hr (C) 20/9 hr (D) 9/20 hr (E) 63/19 hr
Answer: C
The value of (10^8-10^2)/(10^6-10^3) is closest to which of the following? Answer Choice: (A) 1 (B) 10 (C) 10^2 (D) 10^3 (E) 10^4
Answer: C
A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum? Answer Choice: (A) 7500 (B) 7528 (C) 2789 (D) 2668 (E) 2088
Answer: A
What is the average of three tenths and five thousandths Answer Choice: (A) 0.2022 (B) 0.3325 (C) 0.1525 (D) 0.2012 (E) 0.2114
Answer: C
A , B , and C started a partnership business by investing $45,000 , $63,000 , and $72,000 respectively. At the end of the year, the profit was distributed among them. If C's share of profit is $24,000, what is the total profit? Answer Choice: (A) $48,000 (B) $52,000 (C) $56,000 (D) $60,000 (E) $64,000
Answer: D
Which of the following is not divisible by 8? Answer Choice: (A) 10032 (B) 21192 (C) 47816 (D) 91232 (E) 72034
Answer: E
At garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 25th lowest price among the prices of the items sold, how many items were sold at the garage sale? Answer Choice: (A) 33 (B) 34 (C) 35 (D) 39 (E) 37
Answer: D
A 4 digit number 8a43 is added to another 4 digit number 3121 to give a 5 digit number 11b64, which is divisible by 11, then (a+b)=? Answer Choice: (A) 3 (B) 4 (C) 7 (D) 5 (E) 9
Answer: A
A man sitting in a train which is travelling at 80 kmph observes that a goods train, travelling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed? Answer Choice: (A) 52 kmph. (B) 62 kmph. (C) 72 kmph. (D) 80 kmph. (E) 32 kmph.
Answer: E
A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water? Answer Choice: (A) 12.8 kmph (B) 23.9 kmph (C) 21.9 kmph (D) 12.5 kmph (E) 13.8 kmph
Answer: D
A women has 3 purse and 4 paper. In how many ways can he put the paper in her purse? Answer Choice: (A) 78 (B) 80 (C) 81 (D) 82 (E) 85
Answer: C
19 persons went to a hotel for a combined dinner party. 13 of them spent Rs 79 each for the dinner and the rest spent Rs 4 more than the average expenditure of all the 19. What was the total money spent by them? Answer Choice: (A) Rs1628.40 (B) Rs1536 (C) Rs1492 (D) Rs1498 (E) none of these
Answer: B
If 10 gallons of grape juice are added to 50 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice? Answer Choice: (A) 14% (B) 25% (C) 28% (D) 34% (E) 50%
Answer: B
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 10 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can? Answer Choice: (A) 40 (B) 44 (C) 48 (D) 55 (E) None of these
Answer: D
The L.C.M of two numbers is 48. The numbers are in the ratio 1:3. The sum of numbers is: Answer Choice: (A) 28 (B) 30 (C) 40 (D) 50 (E) 64
Answer: E
The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 25 years. What is the age of the new member ? Answer Choice: (A) 20 years (B) 21 years (C) 40 years (D) 23 years (E) 24 years
Answer: C
A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x? Answer Choice: (A) 5 (B) 4 (C) 3 (D) 7 (E) 6
Answer: D
Every year an amount increases by 1/9th of itself. How much will it be after two years if its present value is Rs.64000? Answer Choice: (A) 81000 (B) 81007 (C) 81008 (D) 79012.3 (E) 81022
Answer: D
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 12,000? Answer Choice: (A) 50,000 (B) 750,000 (C) 850,000 (D) 7,500,000 (E) 2,400,000,000
Answer: E
certain office 1/3 of the workers are women ½ of the women are married and 1/3 of the married women have children if ¾ of the men are married and 2/3 of the married men have children what part of workers are without children? Answer Choice: (A) 11/8 of all workers (B) 1/18 of all workers (C) 11/18 of all workers (D) 13/18 of all workers (E) 4/18 of all workers
Answer: C
A tyre has two punctures. The first puncture alone would have made the tyre flat in 12 minutes and the second alone would have done it in 8 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ? Answer Choice: (A) 4 4/5min (B) 3 2/5min (C) 3 3/5min (D) 3 4/5min (E) 3 min
Answer: A
(0.96)(power 3) - (0.1)(power 3)/ (0.96)(power 2) + 0.096 + (0.1)(power 2) is: Answer Choice: (A) 0.86 (B) 0.68 (C) 0.96 (D) 0.69 (E) 0.76
Answer: A
What is the value of the following expression?
(1/ (2^2 – 1)) + (1/ (4^2 – 1)) + (1/ (6^2 – 1)) + .... + (1/ (18^2 – 1)) Answer Choice: (A) a. 9/19 (B) b. 10/19 (C) c. 10/21 (D) d. 11/21 (E) e. 11/19
Answer: A
Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 60 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 30 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work? Answer Choice: (A) 20 (B) 34 (C) 30 (D) 40 (E) 46
Answer: C
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 10 years? Answer Choice: (A) 6% (B) 2% (C) 4% (D) 5% (E) 3%
Answer: B