loafeihong/math_mmlu_format huggingface dataset:
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Renee will win? Answer Choice: (A) 5/6 (B) 2/3 (C) 1/2 (D) 5/12 (E) 3/9
Answer: E
A statue is being carved by a sculptor. The original piece of marble weighed 250 kg. In the first week 30 percent is cut away. In the second week 20 percent of the remainder is cut away. In the third week the statue is completed when 25 percent of the remainder is cut away. What is the weight of the final statue? Answer Choice: (A) 105 kg (B) 103 kg (C) 108 kg (D) 125 kg (E) 117 kg
Answer: A
A chair is bought for Rs.600/- and sold at a loss of 30% find its selling price Answer Choice: (A) s.420/- (B) s.550/- (C) s.560/- (D) s.590/- (E) s.580/-
Answer: A
30 people attend a party. 4 men are single and the rest are there with their wives. There are no children in the party. In all 22 women are present. Then the number of married men at the party is ? Answer Choice: (A) 5 (B) 6 (C) 4 (D) 8 (E) 9
Answer: C
The average age of a committee of 8 members is 40 years. A member aged 55 years
retired and his place was taken by another member aged 39 years . The average age of
present committee is; Answer Choice: (A) 39 years (B) 38 years (C) 36 years (D) 35 years (E) 34 years
Answer: B
Three positive integers a, b, and c are such that their average is 22 and a ≤ b ≤ c. If the median is (a + 11), what is the least possible value of c? Answer Choice: (A) 21 (B) 23 (C) 25 (D) 27 (E) 29
Answer: D
John was thrice as old as Tom 6 years ago. John will be 15/13 times as old as Tom in 6 years. How old is Tom today? Answer Choice: (A) 5 (B) 7 (C) 9 (D) 11 (E) 13
Answer: B
A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 2211, What is the value of n? Answer Choice: (A) 22 (B) 134 (C) 62 (D) 122 (E) 672
Answer: B
The calendar for the year 2007 will be the same for the year Answer Choice: (A) 2017 (B) 2018 (C) 2014 (D) 2016 (E) 2015
Answer: B
For an upcoming charity event, a male vocalist has agreed to sing 4 out of 6 “old songs” and 2 out of 5 “new songs.” How many ways can the singer make his selection? Answer Choice: (A) 25 (B) 50 (C) 150 (D) 480 (E) 600
Answer: C
An gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3, 1.2 & 1.1 respectively. What is the probability that the plane is hit when all the four shots are fired? Answer Choice: (A) 0.53435 (B) 0.69766 (C) 1.34354 (D) 1.45465 (E) 1.46566
Answer: B
Find smallest number that you can write using all the vowels(A,E,O,I,U) exactly once? Answer Choice: (A) 5000 (B) 6000 (C) 1000 (D) 4000 (E) 3000
Answer: A
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2? Answer Choice: (A) Rs.43 (B) Rs.23 (C) Rs.44 (D) Rs.20 (E) Rs.41
Answer: C
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 4 days more? Answer Choice: (A) 3022 (B) 3040 (C) 3099 (D) 3088 (E) 3066
Answer: B
A person crosses a 1000 m long street in 5 minutes. What is his speed in km per hour? Answer Choice: (A) 5.2 km/hr. (B) 8.2 km/hr. (C) 12.0 km/hr. (D) 3.2 km/hr. (E) 4.2 km/hr.
Answer: C
Which of the following is closest to the difference between sum Z of all proper fractions (fractions less than 1) in the form 1/x , where x is a positive digit, and the product of all proper fractions in the form y/(y+1), where y is a positive digit? Answer Choice: (A) 2.82 (B) 2.72 (C) 1.82 (D) 1.72 (E) 0.82
Answer: D
926 + 9.026 + 0.926 + 9.0026 = ? Answer Choice: (A) 944.9546 (B) 944.1246 (C) 944.4246 (D) 944.9446 (E) None of these
Answer: A
If @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 12? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
Pat, kate and mark charged a total of 189 hours to a certain project . If pat charged twice as much time to the project as kate and 1/3 as much times as mark, how many more hours did mark charge to the project than kate. Answer Choice: (A) 18 (B) 36 (C) 72 (D) 90 (E) 105
Answer: E
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit? Answer Choice: (A) 2000 (B) 2787 (C) 2927 (D) 1627 (E) 1811
Answer: A
In how many ways can the letters of the word APPEARED be arranged? Answer Choice: (A) 1206 (B) 1348 (C) 2520 (D) 3000 (E) 5040
Answer: E
If KING is coded as 17 and MASS is coded as 29 Then COP is coded as Answer Choice: (A) 21 (B) 20 (C) 19 (D) 13 (E) None
Answer: D
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train? Answer Choice: (A) 287 (B) 699 (C) 677 (D) 168 (E) 150
Answer: E
A certain fraction has the same ratio to 1/36, as 4/5 does to 2/9. What is this certain fraction? Answer Choice: (A) 1/5 (B) 1/10 (C) 1/15 (D) 1/20 (E) 1/25
Answer: B
3, 15, x, 51, 53,159,161 value of x ? Answer Choice: (A) 17 (B) 34 (C) 54 (D) 64 (E) 112
Answer: A
A chemical lab is scheduled to go through two air ventilation systems, a basic system and a more advanced system that takes forty minutes and 2 hours respectively to fully ventilate the room. If both ventilation systems were to operate at the same time with their respective constant rates, how many hours would it take to fully ventilate the chemical lab? Answer Choice: (A) 1/2 (B) 1/3 (C) 2/5 (D) 5/4 (E) 3/2
Answer: A
A charity solicited P persons over the phone who agreed to an average pledge of Rs.R each. Q of these people who had pledged an average of Rs. S each never sent in the pledged amount. Which of the following expressions represents the percentage of pledged money that the charity received? Answer Choice: (A) 100*(PR/QS) (B) 100*(QS/PR) (C) 100 (PR - QS) (D) 100(1-QS/PR) (E) 100(PR-QS/PR)
Answer: D
A man swims downstream 24km and upstream 16km taking 4 hours each time, what is the speed of the man in still water? Answer Choice: (A) 8 (B) 5 (C) 24 (D) 12 (E) 36
Answer: B
A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount? Answer Choice: (A) Over Rupees 13 but less than Rupees 14 (B) Over Rupees 7 but less than Rupees 8 (C) Over Rupees 22 but less than Rupees 23 (D) Over Rupees 18 but less than Rupees 9 (E) Over Rupees 4 but less than Rupees 5
Answer: D
If the radius of a cylinder is doubled and so height is made 3 times, what is the new volume of the cylinder divided by the old one? Answer Choice: (A) 8. (B) 12. (C) 6. (D) 4. (E) 10.
Answer: B
Sum of the squares of 3 no.'s is 222 and the sum of their products taken two at a time is 131. Find the sum? Answer Choice: (A) 22 (B) 24 (C) 26 (D) 28 (E) 30
Answer: A
If the cost price of 18 pens is equal to the selling price of 15 pens, the gain percent is: Answer Choice: (A) 9% (B) 20% (C) 50% (D) 80% (E) 34%
Answer: B
If A,B,C are three integers and AB+C is even ; which of the following must be true? A)C is Odd B)B is Odd C)AB is even Answer Choice: (A) None of the above (B) I only (C) II only (D) III only (E) III,II only
Answer: A
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank? Answer Choice: (A) 10 (B) 9 (C) 12 (D) 11 (E) 15
Answer: A
A man can do a job in 10 days. His father takes 20 days and his son finishes it in 25 days. How long will they take to complete the job if they all work together? Answer Choice: (A) 6.3 (B) 6.9 (C) 5.3 (D) 6.1 (E) 6.2
Answer: C
9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days? Answer Choice: (A) 12 (B) 10 (C) 8 (D) 5 (E) 6
Answer: A
The average (arithmetic mean) of 20, 40, and 60 is 6 more than the average of 10, 70, and what number? Answer Choice: (A) 15 (B) 25 (C) 35 (D) 22 (E) 55
Answer: D
According to a survey, at least 70% of people like apples, at least 70% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three? Answer Choice: (A) 15% (B) 20% (C) 25% (D) 0% (E) 35%
Answer: B
A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 44 now, the son age 5 years back was Answer Choice: (A) 14 (B) 17 (C) 11 (D) 19 (E) 99
Answer: B
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article? Answer Choice: (A) 1881 (B) 1211 (C) 1200 (D) 1882 (E) 1222
Answer: C
A bag contains 4 white balls, 3 black balls, and 2 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red? Answer Choice: (A) 2/9 (B) 1/4 (C) 3/8 (D) 5/16 (E) 2/5
Answer: A
164 candies are distributed to children with the same number. What can’t be the range including the number of children? Answer Choice: (A) 1~10 (B) 10~20 (C) 20~30 (D) 40~50 (E) 80~90
Answer: B
Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one's annual income to the average (arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in Country R's currency, for a person in that country whose annual income is S? Answer Choice: (A) 50+A/200 (B) 50+3S/100 (C) 50+S/40 (D) 100+S/50 (E) 100+3S/100
Answer: C
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 865 in 4 years. The sum is: Answer Choice: (A) s. 665 (B) s. 690 (C) s. 698 (D) s. 700 (E) s. 720
Answer: A
A particular store purchased a stock of turtleneck sweaters and marked up its cost by 20%. During the New Year season, it further marked up its prices by 25% of the original retail price. In February, the store then offered a discount of 20%. What was its profit on the items sold in February? Answer Choice: (A) 20% (B) 30% (C) 35% (D) 37.5% (E) 40%
Answer: A
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 16 hrs and a machine of type S does the same job in 8 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used? Answer Choice: (A) A)3 (B) B)4 (C) C)6 (D) D)9 (E) E)12
Answer: A
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red? Answer Choice: (A) 12/458 (B) 12/455 (C) 12/455 (D) 12/451 (E) 12/452
Answer: C
The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area? Answer Choice: (A) 40% (B) 47% (C) 50% (D) 59% (E) 60%
Answer: C
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is? Answer Choice: (A) 1/8 (B) 1/2 (C) 1/6 (D) 1/5 (E) 1/3
Answer: B
Brand X coffee costs twice as much as brand Y coffee. If a certain blend is 3/4 brand X and 1/4 brand Y. what fraction of the cost of the blend is Brand X? Answer Choice: (A) a. 6/7 (B) b. 2/5 (C) 3. 1/2 (D) 4. 2/3 (E) 5. 3/4
Answer: A
Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 75 km more than the other. What is the distance between the two stations? Answer Choice: (A) 540 km (B) 675 km (C) 276 km (D) 178 km (E) 176 km
Answer: B
A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 25 percent of the total votes? Answer Choice: (A) 6.25% (B) 12.5% (C) 15% (D) 17.5% (E) 20%
Answer: A
The speed of a car is 120 km in the first hour and 60 km in the second hour. What is the average speed of the car? Answer Choice: (A) 89 kmph (B) 92 kmph (C) 90 kmph (D) 65 kmph (E) 77 kmph
Answer: C
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is: Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: A
Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $128 and $140 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings? Answer Choice: (A) 640 (B) 720 (C) 1080 (D) 1200 (E) 1440
Answer: A
Find the average of all the numbers between 6 and 34 which are divisible by 6. Answer Choice: (A) 18 (B) 20 (C) 24 (D) 30 (E) 21
Answer: E
There are 6 more women than there are men on a local co-ed softball team. If there are a total of 24 players on the team, what is the ratio of men to women? Answer Choice: (A) 10/16 (B) 9/15 (C) 4/16 (D) 6/10 (E) 4/10
Answer: B
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 16 hours respectively. The ratio of their speeds is Answer Choice: (A) 4 : 9 (B) 4 : 3 (C) 4 : 12 (D) 4 : 8 (E) 4 : 5
Answer: B
The profits of QRS company rose 40% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June? Answer Choice: (A) 15% (B) 32% (C) 40% (D) 68% (E) 80%
Answer: D
P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left? Answer Choice: (A) 8/15 (B) 7/15 (C) 11/15 (D) 2/11 (E) 7/11
Answer: A
The length of a room is 6.5 m and width is 2.75 m. What is the cost of paying the floor by slabs at the rate of Rs.600 per sq. metre. Answer Choice: (A) Rs.18725 (B) Rs.16725 (C) Rs.30725 (D) Rs.10725 (E) Rs.20725
Answer: D
. In digging a pond 22 m * 12 m * 5 m the volumes of the soil extracted will be? Answer Choice: (A) 3223 (B) 1320 (C) 1400 (D) 1560 (E) 3000
Answer: B
A sum fetched a total simple interest of $4106.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum? Answer Choice: (A) $8829 (B) $2840 (C) $6578 (D) $7782 (E) $8927
Answer: E
In a group of 25 factory workers, 14 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes. Answer Choice: (A) 10 (B) 9 (C) 8 (D) 7 (E) 6
Answer: E
A circular mat with diameter 3.5 inches is placed on a square tabletop, each of whose sides is 6 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat? Answer Choice: (A) 2 (B) 1 (C) 3 (D) 4 (E) 5
Answer: B
Two men starting from the same place walk at the rate of 5 kmph and 5.5 kmph respectively. What time will they take to be 6.5 km apart, if they walk in the same direction? Answer Choice: (A) 12 hrs (B) 13 hrs (C) 15 hrs (D) 17 hrs (E) None
Answer: B
If the cost price of 18 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes? Answer Choice: (A) 20% loss (B) 12.5% profit (C) 33.33 % loss (D) 30.33% loss (E) None of these
Answer: B
In a 400 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners? Answer Choice: (A) 85 (B) 83 (C) 82 (D) 84 (E) 86
Answer: C
On 6th July, 2017 Thursday falls. What day of the week was it on 6th July, 2016? Answer Choice: (A) Saturday (B) Sunday (C) Monday (D) Tuesday (E) Wednesday
Answer: E
Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 800 pounds of the seed mixture? Answer Choice: (A) 6 (B) 12 (C) 20 (D) 24 (E) 120
Answer: C
An error 6% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is Answer Choice: (A) 12.04% (B) 14.14% (C) 12.36% (D) 12.26% (E) 15.5%
Answer: D
At 15:15 pm railway time, what will be the angle between minute and hour hand? Answer Choice: (A) 238 (B) 360 (C) 377 (D) 277 (E) 291
Answer: B
John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 5% and the mobile phone at a profit of 10%. Overall how much he make a profit. Answer Choice: (A) s. 90 (B) s. 120 (C) s. 200 (D) s. 50 (E) s. 290
Answer: D
Out of first 45 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ? Answer Choice: (A) 17/45 (B) 7/45 (C) 17/9 (D) 7/9 (E) 17/27
Answer: D
Two of his favorite buildings are Chicago’s Sears (Willis) Tower and
Dubai’s Burj Khalifa. If Burj Khalifa stands at 830 meters high and
Sears stands at 527 meters high, how much higher is Burj Khalifa than Sears? Answer Choice: (A) 300 (B) 250 (C) 130 (D) 303 (E) 111
Answer: D
present ages of Ram and Rahim are in the ratio of 4:3 respectively. Four years ago, the ratio of their ages was 16:11 respectively . what Ram's present age in years? Answer Choice: (A) 27 (B) 24 (C) 40 (D) 20 (E) 35
Answer: D
In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5 feet 6 nches. Find the % correction made by the candidate from his stated height to his actual height? Answer Choice: (A) 15 (B) 20 (C) 18 (D) 16.5 (E) 25
Answer: D
There are 6 people and 3chairs. In how many ways people can occupy the chairs? Answer Choice: (A) 120 (B) 150 (C) 240 (D) 60 (E) 100
Answer: A
A man's speed with the current is 16 km/hr and the speed of the current is 3.2 km/hr. The man's speed against the current is Answer Choice: (A) 9 (B) 9.6 (C) 11 (D) 12 (E) 13
Answer: B
A certain series is defined by the following recursive rule: Se=K(Se-1) , where k is a constant. If the 1st term of this series is 64 and the 25th term is 192, what is the 9th term? Answer Choice: (A) ROOT 2 (B) ROOT 3 (C) 64*ROOT 3 (D) 64*3^1/3 (E) 64*3^24
Answer: D
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Answer Choice: (A) Rs.250 (B) Rs.280 (C) Rs.290 (D) Rs.300 (E) Rs.380
Answer: A
The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 676 feet squared, what is the difference between the length and the width of the roof? Answer Choice: (A) 39. (B) 40. (C) 42. (D) 44. (E) 46.
Answer: A
In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 3:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food? Answer Choice: (A)  $600 (B)  $720 (C)  $675 (D)  $450 (E)  $225
Answer: A
A company has 65 employees, of which 22 studied accounting, 15 studied finance and 14 studied marketing. Nine employees have done just two courses and only one made ​​the three courses. How many employees have no training? Answer Choice: (A) A)0 (B) B)9 (C) C)10 (D) D)11 (E) E)25
Answer: E
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Answer Choice: (A) 44% (B) 49% (C) 84% (D) 24% (E) 45%
Answer: A
It takes Avery 2 hours to build a brick wall while Tom can do it in 4 hour. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own? Answer Choice: (A) 70 (B) 20 (C) 50 (D) 60 (E) 30
Answer: D
A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 91 pounds? Answer Choice: (A) 8 (B) 7 (C) 12 (D) 9 (E) none of the above
Answer: A
A football team lost 5 yards and then gained 9. What is the team's progress? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: B
A town in California fines residents who do not pay their property taxes on time. All residents must pay their taxes before July 1st for that calendar year or face the following fine structure: For the first month the taxes are overdue (that would be any payment made on July 1st through July 31st), the total fine is 1% of the original tax bill; for each additional month that the taxes are overdue, the total fine is increased by $600 or doubled, whichever results in the lesser amount. What is the total fine for a resident of that town who originally owed $40,000 in property taxes, but did not pay until October 15th? Answer Choice: (A) $1,400 (B) $1,800 (C) $2,400 (D) $3,200 (E) $22,800
Answer: D
The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 19. Find the sum : Answer Choice: (A) 4500 (B) 7600 (C) 5000 (D) 6000 (E) None of these
Answer: B
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounce cans of concentrate are required to prepare 160 six-ounce servings of orange juice? Answer Choice: (A) 20 (B) 24 (C) 28 (D) 32 (E) 36
Answer: A
Given A+B+C+D+E= FG. If FG is Maximum as possible and A,B,C,D,E,F,G all are distinct digits
(0-9) then what is the value of G. Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
If p and q are prime numbers, how many divisors does the product p^3*q^6 have? Answer Choice: (A) 9 (B) 12 (C) 18 (D) 28 (E) 363
Answer: D
If a mixture is 3⁄5 alcohol by volume and 4⁄5 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture? Answer Choice: (A) 1/3 (B) 3/2 (C) 3/4 (D) 3 (E) 3/5
Answer: C
At what rate percent of simple interest will a sum of money double itself in 66 years? Answer Choice: (A) 6.54 % (B) 4.54 % (C) 1.51 % (D) 1.94 % (E) 5.54 %
Answer: C
If |2x| = 50, what is the sumof all the possible values of x? Answer Choice: (A) 15 (B) 20 (C) 25 (D) -25 (E) 0
Answer: E
By selling 50 mangoes, a shopkeeper gains the price of 10 mangoes. His gain per cent is Answer Choice: (A) 25% (B) 35% (C) 20% (D) 23% (E) 30%
Answer: A
How many three-digit numbers are there such that all three digits are different and the first digit is not zero? Answer Choice: (A) 504 (B) 648 (C) 720 (D) 729 (E) 810
Answer: B
A car is traveling at uniform speed. The driver sees a milestone showing a two digit number which is a perfect square, after traveling for an hour the driver sees another milestone with the same digits in reverse order and after another hour the driver sees another milestone containing the same two digits as part of a three digit number. What is the speed of the car? Answer Choice: (A) 30 kmph (B) 40 kmph (C) 50 kmph (D) 60 kmph (E) 45 kmph
Answer: E
If a, b, and c are integers and a*b^2/c is a positive even integer, which of the following must be true?
I. c is even
II. ab > 4
III. ab is even Answer Choice: (A) I only (B) III only (C) I and II (D) I and III (E) I, II, and III
Answer: B
4^b + 4^b + 4^b + 4^b = Answer Choice: (A) 7^b (B) 4^(b + 1) (C) 7^(7b) (D) 8^b (E) 49^B
Answer: B