loafeihong/math_mmlu_format huggingface dataset:
A snail, climbing a 36 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. It climbs 8 feet on the third day and slides down again 4 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall? Answer Choice: (A) 12 (B) 14 (C) 15 (D) 20 (E) 21
Answer: C
A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km? Answer Choice: (A) 30 (B) 31.25 (C) 31 (D) 32 (E) 33
Answer: B
What is the tens digit of 7^1001? Answer Choice: (A) 0 (B) 0 (C) 2 (D) 3 (E) 4
Answer: B
A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest? Answer Choice: (A) 3% (B) 2% (C) 1% (D) 6% (E) 7%
Answer: D
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ? Answer Choice: (A) 3 (B) 6 (C) 5 (D) 7 (E) 9
Answer: D
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train? Answer Choice: (A) 287 m (B) 266 m (C) 987 m (D) 270 m (E) 256 m
Answer: D
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.1800. How much third person will get? Answer Choice: (A) 400 (B) 800 (C) 600 (D) 1200 (E) 1000
Answer: B
4 shooters are hitting 1 out of 4 different targets. What is the probability that exactly one shooter will hit each target. Answer Choice: (A) 4/4^4 (B) 4^4/4 (C) 4!/4 (D) 4!/4^4 (E) 1/4!
Answer: D
Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 15, 12, and 18 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates? Answer Choice: (A) 4/15 (B) 1/2 (C) 15/22 (D) 25/12 (E) 11/4
Answer: D
The average age 15 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number? Answer Choice: (A) 18 (B) 99 (C) 30 (D) 26 (E) 12
Answer: C
The circulation for magazine Y in 1971 was 5 times the average (arithmetic mean) yearly circulation for magazine Y for the years 1972-1980. What is the ratio of the circulation in 1971 to the total circulation during 1971-1980 for magazine Y ? Answer Choice: (A) 3/14 (B) 5/14 (C) 9/14 (D) 11/14 (E) 1/2
Answer: B
John has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar? Answer Choice: (A) 54 (B) 55 (C) 56 (D) 57 (E) 58
Answer: B
The average age of three boys is 28 years and their ages are in the proportion 4 : 6 : 8. The age of the youngest boy is: Answer Choice: (A) 21 years (B) 18 years (C) 14 years (D) 9 years (E) None of these
Answer: C
The number 152 is equal to the sum of the cubes of two integers. What is the product of those integers? Answer Choice: (A) 8 (B) 15 (C) 21 (D) 27 (E) 39
Answer: B
Annie has 100 cards numbered 1 through 100. If she deals eight cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers? Answer Choice: (A) 95!/100! (B) 96!/100! (C) (93! X 8!)/100! (D) (96! X 8!)/100! (E) (97! X 4!)/100!
Answer: C
The current ages of 3 individuals are in the ratio 4:7:9. 0.8 decades ago, the sum of their ages was 56. Find their current ages in years Answer Choice: (A) 16, 28, 36 (B) 17, 28, 39 (C) 18, 30, 38 (D) 20, 32, 46 (E) None of these
Answer: A
How many solution does the expression x+3−−−−√=xx+3−−−−√x+3=xx+3 has? Answer Choice: (A) 23 (B) 27 (C) 260 (D) 175 (E) 191
Answer: B
The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 1,000,000 bacteria Answer Choice: (A) 10 (B) 12 (C) 14 (D) 16 (E) 20
Answer: E
A single discount equivalent to the discount series of 20%, 10% and 5% is? Answer Choice: (A) 31.2 (B) 31.2 (C) 31.6 (D) 31.3 (E) 31.1
Answer: C
If n is a positive integer, what is the remainder when (4^(4n+3))(6^n) is divided by 10? Answer Choice: (A) 1 (B) 2 (C) 4 (D) 6 (E) 8
Answer: C
A certain clock rings two notes at quarter past the hour, four notes at half past, and six notes at three-quarters past. On the hour, it rings eight notes plus an additional number of notes equal to whatever hour it is. How many notes will the clock ring from 1:00 p.m. through 5:00 p.m., including the rings at 1:00 and 5:00? Answer Choice: (A) 87 (B) 95 (C) 102 (D) 103 (E) 115
Answer: D
If (A+B) = 4, (B+C) = 7 and (C+D) = 5, what is the value of (A+D)? Answer Choice: (A) 16. (B) 8. (C) 7. (D) 2. (E) -2.
Answer: D
A man buys an item at Rs. 750 and sells it at the loss of 20 percent. Then what is the selling price of that item Answer Choice: (A) Rs. 660 (B) Rs. 760 (C) Rs. 600 (D) Rs. 960 (E) None of these
Answer: C
Find the sum of prime numbers lying between 60 and 75. Answer Choice: (A) 199 (B) 201 (C) 211 (D) 272 (E) None
Answer: D
Two trains are running in opposite directions with the same speed. If the length of each train is 130 m and they cross each other in 12 sec, then the speed of each train is? Answer Choice: (A) 30 (B) 35 (C) 36 (D) 37 (E) 39
Answer: E
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 32 hours and 16 hours respectively. The ratio of their speeds is Answer Choice: (A) 4 : 9 (B) 4 : 3 (C) 4 : 12 (D) 1 : 2 (E) 4 : 5
Answer: D
50 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor? Answer Choice: (A) 14.4 (B) 180/7 (C) 50.4 (D) 64.8 (E) 90
Answer: D
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make? Answer Choice: (A) 10% (B) 30% (C) 50% (D) 40% (E) None of these
Answer: D
Out of seven consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels? Answer Choice: (A) 1650 (B) 1920 (C) 2240 (D) 2520 (E) 2860
Answer: D
What is the 27th digit to the right of the decimal point in the decimal form of 5/11? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: B
In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If 36 of the photographs in the exhibition were taken by Octavia, how many photographs were either framed by Jack or taken by Octavia? Answer Choice: (A) 36 (B) 48 (C) 72 (D) 96 (E) 108
Answer: B
At a local appliance manufacturing facility, the workers received a 40% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked? Answer Choice: (A) 83% (B) 28% (C) 20% (D) 17% (E) 12%
Answer: B
A circular path of 16 m radius has marginal walk 3 m wide all round it. Find the cost of leveling the walk at Rs.2 per m2? Answer Choice: (A) Rs.660 (B) Rs.40 (C) Rs.44 (D) Rs.42 (E) Rs.43
Answer: A
If n = 2×3×5×7×11×13×15, then which of the following statements must be true?
I. n^2 is divisible by 600
II. n + 19 is divisible by 19
III. (n + 4)/2 is even Answer Choice: (A) I only (B) II only (C) I and III (D) III only (E) None of the above
Answer: C
By giving Rs. 50 to M, A would have the amount equal to what M had earlier. If the sum of the amounts with A and M is Rs. 650. What is the ratio of the amount with A to that with M earlier? Answer Choice: (A) 7 : 4 (B) 5 : 3 (C) 2 : 1 (D) 7 : 6 (E) None of these
Answer: D
At Amiee’s Pet Shop, 10 cups of bird seed are used every 4 days to feed 6 parakeets. How many cups of bird seed would be required to feed 10 parakeets for 5 days? Answer Choice: (A) 28.7 (B) 35.4 (C) 2 1/2 (D) 50 (E) 25
Answer: A
If a and b are positive integers and b ≠ 1, then ab(b −1) is Answer Choice: (A) ab^2-ab (B) 2/b (C) 1/b (D) 1/a (E) 1/a+1/b
Answer: A
The Diagonals of two squares are in the ratio of 2:5. find the ratio of their areas. Answer Choice: (A) 4:25 (B) 4:28 (C) 4:29 (D) 4:25 (E) 4:21
Answer: A
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Answer Choice: (A) 278 (B) 272 (C) 892 (D) 750 (E) 298
Answer: D
In a certain lottery drawing, two balls are selected at random from a container with 50 balls, numbered from 1 to 50, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner? Answer Choice: (A) $9.85 x 10^6 (B) $2.45 x 10^6 (C) $1.00 x 10^7 (D) $1.05 x 10^7 (E) $9.90 x 10^7
Answer: B
A man walking at a constant rate of 6 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 12 miles per hour. The woman stops to wait for the man 10 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up? Answer Choice: (A) 5 (B) 15 (C) 10 (D) 20 (E) 25
Answer: C
In how many different ways can the letters of the word ‘RED’ be arranged ? Answer Choice: (A) 0 (B) 6 (C) 24 (D) 120 (E) 720
Answer: B
An empty wooden vessel weighs 16% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled. Answer Choice: (A) 3/5 (B) 5/9 (C) 1/24 (D) 4/9 (E) 7/15
Answer: E
What is the smallest number which is a perfect square and is divisible by 16, 20 and 24? Answer Choice: (A) 3600 (B) 2778 (C) 2677 (D) 97Y67 (E) 272
Answer: A
Find the number of Zeros in: (1)^1 x (2)^2 x (3)^3 x (4)^4 x ......(99)^99 x (100)^100 Answer Choice: (A) 1200 (B) 1300 (C) 1400 (D) 1500 (E) None of these
Answer: B
What is the area D of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)? Answer Choice: (A) 60. (B) 85. (C) 125. (D) 225. (E) It cannot be determined from the information given
Answer: D
An ice cream cone is three inches tall and its top is a circle with diameter two
inches. The cone is lled with ice cream, such that the interior of the cone is entirely full.
The cone is topped with a hemisphere of ice cream with diameter two inches. What is the
total volume, in cubic inches, of the ice cream in and atop the cone? Answer Choice: (A) π (B) 4/3 π (C) 3/2 π (D) 5/3 π (E) 2π
Answer: D
On a certain day, Tim invested $600 at 10 percent annual interest, compounded annually, and Lana invested 1,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years? Answer Choice: (A) $5.5 (B) $15.5 (C) $23.5 (D) $100 (E) $105
Answer: C
Pipe A can fill a tank in 20 hours, pipe B in 20 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled? Answer Choice: (A) 2 (B) 2.5 (C) 7 (D) 7.5 (E) None
Answer: D
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 16 = f(x – 6) ? Answer Choice: (A) 1 (B) 4 (C) 6 (D) 7 (E) 13
Answer: A
If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum? Answer Choice: (A) s.575 (B) s.595 (C) s.590 (D) s.580 (E) s.585
Answer: E
How many positive integers less than 100 have a remainder of 11 when divided by 13? Answer Choice: (A) 11 (B) 7 (C) 8 (D) 9 (E) 10
Answer: A
For which of the following functions does f(−q)=−f(q) for all real number values of x? Answer Choice: (A) q^8−q^4 (B) q^2−q^6 (C) q^5/q^7 (D) q^9/(q^5+1) (E) q^5/(q^2+1)
Answer: E
If the perimeter of square region E and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of E Answer Choice: (A) 25:16 (B) 24:25 (C) 5:6 (D) 4:5 (E) 4:9
Answer: B
In a certain accounting class of 90 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 70%, what was the average score for the entire class? Answer Choice: (A) 63% (B) 64% (C) 65% (D) 66% (E) 67%
Answer: A
If the product of the integers j, k, l and m is 770, and if 1 < j< k< l< m, what is the value of j+ m? Answer Choice: (A) 10 (B) 13 (C) 16 (D) 18 (E) 21
Answer: B
For prime number y, y>3. Which of the following could be the remainder when y^3 is divided by 12? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: D
It costs $2 for the first 1/4 hour to use the bathroom. After the first ¼ hour it costs $8 per hour. If a certain customer uses the bathroom for 1 hour, how much will it cost him? Answer Choice: (A) $8 (B) $3 (C) $26 (D) $7 (E) $2.99
Answer: A
A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is : Answer Choice: (A) 9:5 (B) 2:3 (C) 4:7 (D) 5:6 (E) None of these
Answer: A
Each day, Jane swims a certain number of lengths. On day 1, she swims 8 lengths. Each day, she swims 8 more lengths than the day before. What is the average number of lengths she swims each day in the first week? Answer Choice: (A) 8 (B) 16 (C) 32 (D) 34 (E) 40
Answer: C
How many 4-digit W 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 single discount equivalent to the discount series of 14%, 10% and 5% is? Answer Choice: (A) 26.47 (B) 36.97 (C) 31.67 (D) 31.47 (E) 26.17
Answer: A
What will be the remainder if 2^300 is divided by 4? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest? Answer Choice: (A) 26 2/3 % (B) 30 % (C) 27 1/2% (D) 40 % (E) 50 %
Answer: D
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 49 hours respectively. The ratio of their speeds is? Answer Choice: (A) 4:7 (B) 7:3 (C) 4:9 (D) 4:4 (E) 4:2
Answer: B
The radius of a wheel is 24.2 cm. What is the distance covered by the wheel in making 500 resolutions? Answer Choice: (A) 708 m (B) 704 m (C) 774 m (D) 760.57 m (E) 744 m
Answer: D
In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 40 per square m? Answer Choice: (A) s.43000 (B) s.50000 (C) s.57000 (D) s.38000 (E) s.62000
Answer: D
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length Answer Choice: (A) 20 seconds (B) 30 seconds (C) 40 seconds (D) 50 seconds (E) None of these
Answer: C
Average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new
man. Then weight of the new man is Answer Choice: (A) 50 (B) 55 (C) 60 (D) 65 (E) 70
Answer: C
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 50 percent of the drive from the center, what percent of the round-trip has the technician completed? Answer Choice: (A) 5% (B) 10% (C) 75% (D) 40% (E) 55%
Answer: C
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.170000, find the cost of a camel? Answer Choice: (A) 3278 (B) 2669 (C) 2770 (D) Rs.6800 (E) 2791
Answer: D
In an office in Singapore there are 60% female employees. 50 % of all the male employees are computer literate. If there are total 62% employees computer literate out of total 1500 employees, then the no. of female employees who are computer literate ? Answer Choice: (A) 630 (B) 674 (C) 672 (D) 960 (E) None
Answer: A
There are 192 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ? Answer Choice: (A) 72 (B) 85 (C) 107 (D) 98 (E) 108
Answer: C
5n - 3 > 12 and 7n - 5 < 44; n must be between which numbers? Answer Choice: (A) 1 and 8 (B) 2 and 6 (C) 0 and 9 (D) 3 and 7 (E) 2 and 9
Answer: D
4.036 divided by 0.04 gives : Answer Choice: (A) 100.8 (B) 100.2 (C) 100.5 (D) 100.9 (E) 100.7
Answer: D
The positive difference between Sam and Lucy’s ages is a, and the sum of their ages is z. If Lucy is older than Sam, then which of the following represents Lucy’s age? Answer Choice: (A) (z - a)/2 (B) a - z/2 (C) 2a + z (D) (z + a)/2 (E) (a - z)/2
Answer: D
A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $190. Find the original price of petrol? Answer Choice: (A) $11 (B) $5 (C) $45 (D) $400 (E) $4.2
Answer: E
The sum of a 2digit no. & the no. obtained byreversing the order ofthe digit is 165. If the digits are differ by 3, find the original no.? Answer Choice: (A) 76 (B) 86 (C) 88 (D) 90 (E) 96
Answer: E
12 + 13 + 14 + ... 61 + 62 + 63 = ? Answer Choice: (A) 1361 (B) 1362 (C) 1950 (D) 1364 (E) 1365
Answer: C
A 3-letters code consists of three different letters. If the code contains at least 2 vowels, how many such codes are possible? Answer Choice: (A) 480 (B) 510 (C) 520 (D) 430 (E) 540
Answer: A
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c? Answer Choice: (A) 28000 (B) 29000 (C) 37000 (D) 38000 (E) 40000
Answer: D
A sum of 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of 362.50 more is lent but at the rate twice the former. At the end of the year, 33.50 is earned as interest from both the loans. What was the original rate of interest? Answer Choice: (A) 3.6% (B) 4.5% (C) 5% (D) 3.46% (E) None of these
Answer: D
2 no's are respectively 40% & 60% more than 3rdnumber. Find the ration of two numbers ? Answer Choice: (A) 3:4 (B) 4:5 (C) 7:8 (D) 9:7 (E) 11:9
Answer: C
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) 29 Kmph (B) 27 Kmph (C) 68 Kmph (D) 22 Kmph (E) 12 Kmph
Answer: C
A three-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible? Answer Choice: (A) 4,680 (B) 18,720 (C) 26,000 (D) 37,440 (E) 52,000
Answer: A
The diameter of a ball is 20 inches. If the surface area of the diameter is the same as the surface area of a cube, what does 1 side of the cube measure? Round to the nearest whole number. Answer Choice: (A) 10 (B) 5 (C) 8 (D) 4 (E) 3
Answer: B
The sum of the ages of mother and her daughter is 50years. Also 5 years ago, the mother's age was 7 times the age of the daughter. What is the age of the mother? Answer Choice: (A) 50years (B) 60years (C) 30years (D) 25years (E) 40years
Answer: E
A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked at 4 miles per hour for 5 hours. How many miles in total did she walk? Answer Choice: (A) 24 (B) 44 (C) 58 (D) 60 (E) 62
Answer: C
The ratio, by volume, of soap to alcohol to water in a certain solution is 4:40:90. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 200 cubic centimeters of alcohol, how many cubic centimeters of water will it contain? Answer Choice: (A) 1300 (B) 1500 (C) 1600 (D) 1700 (E) 1800
Answer: E
Jerry, an electrician, worked 8 months out of the year. What percent
of the year did he work? (round answer to the nearest hundredth)
What percent 12 is 8? 12 months = 1 year Answer Choice: (A) 58.33% (B) 66.67% (C) 78.33% (D) 88.33% (E) 98.33%
Answer: B
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments? Answer Choice: (A) 20:64:49 (B) 49:20:64 (C) 49:64:20 (D) 64:49:20 (E) 20:49:64
Answer: E
A man in a train notices that he can count 41 telephone posts in one minute. If they are known to be 50 metres apart, then at what speed is the train travelling? Answer Choice: (A) 60 km/hr (B) 100 km/hr (C) 110 km/hr (D) 120 km/hr (E) None of these
Answer: D
Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 8 seconds.What is the length of the fast train? Answer Choice: (A) 23 m (B) 23 2/9 m (C) 47m (D) 37 7/9m (E) 44 4/9 m
Answer: E
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 8 : 4? Answer Choice: (A) 16 (B) 45 (C) 277 (D) 92 (E) 11
Answer: B
Rahul went to a shop and bought things worth Rs. 30, out of which 40 Paise went on sales tax on taxable purchases. If the tax rate was 8%, then what was the cost of the tax free items? Answer Choice: (A) 17.6 (B) 24.6 (C) 21.6 (D) 18.6 (E) 20.6
Answer: B
a dealer buys 4 varieties of wheat costing rs. 20,rs.25,rs.30 and rs.35 per kg in the ratio 6:4:3:1 and mixes all the four varieties and sells at 40% profit. What is the selling price per kg of wheat? Answer Choice: (A) 30.5 (B) 31.0 (C) 32.0 (D) 33.0 (E) 34.5
Answer: E
If the quantity (p − 4) is 5 times the quantity (q − 5), then what is the relationship between p and q? Answer Choice: (A) p = 5q + 30 (B) p = 5q − 21 (C) 5p = q + 20 (D) p = 5q (E) p = 5q − 20
Answer: B
Kyle, David, and Catherine each try independently to solve a problem. If their individual probabilities for success are 1/8, 1/4 and 3/5, respectively, what is the probability no one will solve the problem? Answer Choice: (A) 3/80 (B) 21/80 (C) 5/16 (D) 25/76 (E) 9/80
Answer: B
What percent of a day is nine hours? Answer Choice: (A) 20.83% (B) 16x1/2% (C) 18x2/3% (D) 37.5% (E) None of these
Answer: D
If 10 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a four-percent vinegar solution, what was the concentration of the original solution? Answer Choice: (A) 20% (B) 24% (C) 25% (D) 28% (E) 30%
Answer: B
1/x+1/y=1/z where x=12 and y,z positive integer how many possible value of y and z ? Answer Choice: (A) 4 (B) 7 (C) 12 (D) 15 (E) infinite
Answer: B
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 94 Θ 33 ) Θ 17 ) - ( 96 Θ (33 Θ 17)) ? Answer Choice: (A) -10 (B) -2 (C) 8 (D) 13 (E) 17
Answer: D
Audrey 4 hours to complete a certain job. Ferris can do the same job in 3hours. Audrey and Ferris decided to collaborate on the job, working at their respective rates. While Audrey worked continuously, Ferris took 4 breaks of equal length. If the two completed the job together in 2 hours, how many minutes long was each of Ferris’ breaks ? Answer Choice: (A) 5 (B) 7 (C) 15 (D) 20 (E) 25
Answer: B