loafeihong/math_mmlu_format huggingface dataset:
A type R machine can complete a job in 5 hours and a type B machine can complete the job in 7 hours. How many hours will it take 2 type R machines and 3 type B machines working together and independently to complete the job? Answer Choice: (A) 1/5 (B) 29/35 (C) 5/6 (D) 35/29 (E) 35/12
Answer: D
0.0008?=0.02 Answer Choice: (A) 40 (B) 4 (C) 0.4 (D) None of these (E) 0.04
Answer: E
3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day? Answer Choice: (A) 34 (B) 77 (C) 36 (D) 49 (E) 38
Answer: D
A started a bussiness with a sum of Rs. 14000. After 4 months, B entered with an amount of Rs. 12000 and A added another 2,000 in the business. After 6 months, C entered with Rs. 20000 and 'B' withdrew Rs. 2000 from the business. What will be C's share of profit out of a total profit of Rs. 94000 at the end of 2 years. Answer Choice: (A) Rs. 376000 (B) Rs. 204000 (C) Rs. 36000 (D) Rs. 18000 (E) Rs. 260000
Answer: C
A box contains nine slips that are each labeled with one number: 1, 3, 5, 8, 13, 21, 34 and 55. Two of the slips are drawn at random from the box without replacement. What is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box? Answer Choice: (A) 7/72 (B) 1/6 (C) 5/28 (D) 15/36 (E) 21/36
Answer: C
Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 2 players can be selected from each team? Answer Choice: (A) 3025 (B) 1500 (C) 2600 (D) 3500 (E) 4200
Answer: A
The game 'Chunk-a-Luck' is played at carnivals in some parts of Europe. Its rules are as follows:
If you pick a number from 1 to 6 and the operator rolls three dice.
If the number you picked comes up on all three dice, the operator pays you Rs. 3.
If it comes up on two dice, you are paid Rs. 2.
And it comes up on just one dice, you are paid Rs. 1.
Only if the number you picked does not come up at all, you pay the operator Rs. 1.
The probability that you will win money playing in this game is: Answer Choice: (A) 0.52 (B) 0.753 (C) 0.42 (D) 0.68 (E) None of the above
Answer: C
Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that Jill and Sandy will make a basket but Jack will miss? Answer Choice: (A) 3/168 (B) 5/168 (C) 7/168 (D) 5/336 (E) 7/336
Answer: D
If A = 625 * 7776 * 16 / 1296, How many digits are in A? Answer Choice: (A) 5 (B) 2 (C) 3 (D) 4 (E) 0
Answer: A
34.95+240.016+23.98=? Answer Choice: (A) 298.0946 (B) 298.111 (C) 298.946 (D) 299.09 (E) None of them
Answer: C
a,b,c,d,e,f,g sitting in a row what is the probability that a,b & c sitting together. Answer Choice: (A) 3/7 (B) 5/7 (C) 6/7 (D) 2/7 (E) 1/7
Answer: E
If A is a positive integer, which of the following must be divisible by 6? Answer Choice: (A) A(A^2−2) (B) A^2*(A−5) (C) A(A+2)^3 (D) A^2*(A−5) (E) (A−1)*A*(A+1)
Answer: E
The circulation for magazine P in 1971 was 4 times the average (arithmetic mean) yearly circulation for magazine P for the years 1972-1980. What is the ratio of the circulation in 1971 to the total circulation during 1971-1980 for magazine P ? Answer Choice: (A) 4/7 (B) 5/7 (C) 3/7 (D) 2/7 (E) 1/7
Answer: D
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 6, 4 and 3, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created? Answer Choice: (A) 20 (B) 22 (C) 26 (D) 24 (E) 30
Answer: C
Which is greater than 16 Answer Choice: (A) 1.6 (B) 66 (C) 6 (D) -6 (E) 6.1
Answer: B
A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 30 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold? Answer Choice: (A) j/77 (B) 7j/500 (C) 140j (D) j/100+40 (E) 140j/100
Answer: A
John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount W of dollars he could have spent for the $12 tickets? Answer Choice: (A) $48 (B) $60 (C) $84 (D) $96 (E) $120
Answer: B
A certain stock exchange designates each stock with a one-, two-, or three- letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes? Answer Choice: (A) 2951 (B) 8125 (C) 15600 (D) 16302 (E) 18278
Answer: E
Out of three given numbers, the first one is twice the second and three times the third. If the average of these numbers is 88, then the difference between first and third is. Answer Choice: (A) 92 (B) 39 (C) 87 (D) 96 (E) None
Answer: D
If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z? Answer Choice: (A) Y2 = xz (B) Y2 = xy (C) Y2 = Yz (D) Y3 = xz (E) Y5 = xY
Answer: A
H(x, y) is the intersection point between the circle (x^2 + y^2 = 4) and the line (y = x +2). Which of the following can be the point H? Answer Choice: (A) (1, 2). (B) (2, 0). (C) (0, -2). (D) (-2, 0). (E) (2, 2).
Answer: D
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 45 films, and broke even on none of them, how many of their films were profitable? Answer Choice: (A) 18 (B) 19 (C) 20 (D) 21 (E) 44
Answer: E
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1344? Answer Choice: (A) 1000 (B) 2217 (C) 1200 (D) 2777 (E) 2991
Answer: C
If k is the greatest positive integer such that 4^k is a divisor of 16! then k = Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: C
How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed? Answer Choice: (A) 577 (B) 567 (C) 360 (D) 376 (E) None of these
Answer: D
If m^(-1) = -1/4 then m^(-2) is equal to Answer Choice: (A) -9 (B) -3 (C) -1/9 (D) 1/16 (E) 9
Answer: D
If the cost price of 50 articles is equal to the selling price of 30 articles, then the gain or loss percent is? Answer Choice: (A) 16 (B) 127 (C) 12 (D) 18 (E) 67
Answer: E
A package contains 8 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Answer Choice: (A) 3/5 (B) 1/2 (C) 6/8 (D) 7/9 (E) 1/3
Answer: B
How many different 5 letter combinations can be created from the letters A,B,C,D and E? Answer Choice: (A) 625 (B) 125 (C) 3125 (D) 25 (E) 5
Answer: C
Find the odd man out. 7,13,19,25,29,37,43 Answer Choice: (A) 19 (B) 29 (C) 25 (D) 43 (E) 37
Answer: C
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.60 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes? Answer Choice: (A) $306 (B) $275 (C) $510 (D) $1,250 (E) $2,550
Answer: A
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 4.5 screws and 1.5 nails? Answer Choice: (A) a. 4/3 (B) b. 5/2 (C) c. 2 (D) d. 3/2 (E) e. 5/4
Answer: A
Find the area of circle whose radius is 4m? Answer Choice: (A) 50.28 (B) 51.54 (C) 51.77 (D) 52.88 (E) 52.98
Answer: A
If a 4-digit integer is selected at random from the integers 6000 through 6999, inclusive, what is the probability that the first digit and the last digit of the integer are each equal to three times the tens digit and two times the hundreds digit? Answer Choice: (A)  1/999 (B)  3/6000 (C)  1/1000 (D)  3/2000 (E)  2/3000
Answer: C
A vessel of capacity 2 litre has 25% of alcohol and another vessel of capacity 6 litre had 50% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture? Answer Choice: (A) 31%. (B) 71%. (C) 49%. (D) 29%. (E) 35%.
Answer: E
If 7 and 6 are factors of 60n, what is the minimum value of n? Answer Choice: (A)  2 (B)  3 (C)  7 (D)  14 (E)  56
Answer: C
A retailer sold 2 houses at each $10000. On 1st house he got 30% profit and on 2nd house he loss 10% then find his net profit or loss? Answer Choice: (A) 15% (B) 17% (C) 21% (D) 19% (E) 25%
Answer: B
Bill drives from city A to city B. After two hours of driving he noticed that he covered 80 km and calculated that, if he continued driving at the same speed, he would end up been 15 minutes late. So he increased his speed by 10 km/hr and he arrived at city B 36 minutes earlier than he planned.
Find the distance between cities A and B. Answer Choice: (A) 132 km (B) 250 km (C) 390 km (D) 440 km (E) 578 km
Answer: B
Sum of 3 consecutive even no.'s is 24 more than the 1st no. of the series. Find the middle no.? Answer Choice: (A) 11 (B) 12 (C) 14 (D) 16 (E) 18
Answer: A
If a,b are positive integers and a/b=85.75 which of the following could be the value of b? Answer Choice: (A) 1. 25 (B) 4.24 (C) 3. 27 (D) 4. 27 (E) 5. 30
Answer: B
On Sunday morning, Pugsley and Wednesday are trading pet spiders. If Pugsley were to give Wednesday two of his spiders, Wednesday would then have seven times as many spiders as Pugsley does. But, if Wednesday were to give Pugsley four of her spiders, Pugsley would now have four fewer spiders than Wednesday had before they traded. How many pet spiders does Pugsley have before the trading game commences? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) 10
Answer: B
A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct Answer Choice: (A) 2 p.m. on Monday (B) 2 p.m. on Tuesday (C) 2 p.m. on Wednesday (D) 3 p.m. on Thursday (E) None
Answer: C
A can finish a piece of work in 15 days. B can do it in 30 days. They work together for 6 days and then A goes away. In how many days will B finish the work? Answer Choice: (A) 11 days (B) 12 days (C) 14 days (D) 10 days (E) 15 days
Answer: B
Find the average of first 40 natural numbers. Answer Choice: (A) 15.5 (B) 20.5 (C) 40.5 (D) 25 (E) 30.5
Answer: B
A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student? Answer Choice: (A) 6 (B) 8 (C) 10 (D) 12 (E) 15
Answer: C
In a graduate physics course, 70 percent of the students are male and 40 percent of the students are married. If two-sevenths of the male students are married, what fraction of the female students is single? Answer Choice: (A) 2/7 (B) 5/3 (C) 1/2 (D) 2/3 (E) 1/3
Answer: E
A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds. What is the length of the platform in meters? Answer Choice: (A) 240 meters (B) 260 meters (C) 420 meters (D) 600 meters (E) Cannot be determined
Answer: B
If the cost price of 121 chocolates is equal to the selling price of 77 chocolates, the gain percent is : Answer Choice: (A) 56.14% (B) 57.44% (C) 57.14% (D) 56.34% (E) 57.87%
Answer: C
Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill cistern. How much time will be taken by A to fill the cistern separately? Answer Choice: (A) 7 (B) 9 (C) 6 (D) 2 (E) 3
Answer: C
From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys? Answer Choice: (A) 120 (B) 140 (C) 185 (D) 190 (E) 210
Answer: C
Donna, Chris, and Austin have a total of $93 in their wallets. Donna has $7 more than Chris. Austin has 3 times what Donna has. How much Austin has in his wallet? Answer Choice: (A) $10 (B) $20 (C) $12 (D) $60 (E) $50
Answer: D
A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year? Answer Choice: (A) 31:46 (B) 32:44 (C) 32:45 (D) 32:41 (E) 32:42
Answer: C
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years? Answer Choice: (A) 7% (B) 2% (C) 4% (D) 9% (E) 5%
Answer: C
A tank with a volume of 45 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 14 cubic inches/min and 6 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches) Answer Choice: (A) 5184 (B) 5276 (C) 5368 (D) 5460 (E) 5552
Answer: A
How many solutions are possible for the inequality | x - 1 | + | x - 6 | < 2? Answer Choice: (A) 3 (B) 2 (C) 1 (D) 0 (E) 4
Answer: D
In a certain corporation, there are 300 male employees and 150 female employees. It is known that 50% of the male employees have advanced degrees and 40% of the females have advanced degrees. If one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female? Answer Choice: (A) 1/2 (B) 2/3 (C) 3/4 (D) 4/5 (E) 5/6
Answer: B
A sum was put at simple interest at a certain rate for 10 years . Had it been put at 5% higher rate , it would have fetched Rs.100 more. What was the Sum? Answer Choice: (A) s.350 (B) s.700 (C) s.200 (D) s.600 (E) s.500
Answer: C
3889 + 13.952 - ? = 3854.002 Answer Choice: (A) 48.95 (B) 49.75 (C) 45.97 (D) 47.59 (E) 45.79
Answer: A
Find the percentage gain if a shop owner sells 20 mtr of fabric and gains Cost Price of 5 meters? Answer Choice: (A) 15% (B) 24% (C) 35% (D) 14% (E) 25%
Answer: E
Machine–A produces 50% of the total output and Machine-B produces 75% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 500 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective? Answer Choice: (A) 0.07 (B) 0.06 (C) 0.0048 (D) 0.04 (E) 0.05
Answer: C
The average weight of 47 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ? Answer Choice: (A) 51 1⁄47 (B) 52 30/47 (C) 52 1⁄30 (D) 43.42 (E) None of these
Answer: B
The number of rectangles that can be formed on a 8X8 chessboard is Answer Choice: (A) 2194 (B) 1284 (C) 1196 (D) 1296 (E) 1523
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.6300. How much third person will get? Answer Choice: (A) 2400 (B) 2800 (C) 2699 (D) 2662 (E) 1821
Answer: B
There are 5 houses on a street: house A, B, C, D and E. The distance between any two adjacent houses is 100 feet. There are 2 children living in house A, 3 children living in house B, 4 children living in house C, 5 children living in house D and 6 children living in house E. If the school bus can only make one stop on that street, in front of which house should the bus stop so that the sum of walking distance among all children will be the least? Answer Choice: (A) house A (B) house B (C) house C (D) house D (E) house E
Answer: D
8 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond? Answer Choice: (A) 4125 (B) 5040 (C) 1620 (D) 2430 (E) 2560
Answer: B
Q and R are two-digit positive integers that have the same digits but in reverse order. If the positive difference between Q and R is less than 30, what is the greatest possible value of Q minus R? Answer Choice: (A) 23 (B) 24 (C) 25 (D) 26 (E) 27
Answer: E
How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board? Answer Choice: (A) 99 (B) 26 (C) 88 (D) 26 (E) 18
Answer: A
John & Mary go for an interview for 2 vacancies. The probability for the selection of John is 1/3 & whereas the probability forthe selection of Mary is 1/5. What is the probabilitynone of them are selected? Answer Choice: (A) 2/11 (B) 3/7 (C) 8/15 (D) 4/9 (E) 5/7
Answer: C
The HCF of two numbers is 50 and the other two factors of their LCM are 11 and 12. What is the largest number. Answer Choice: (A) 462 (B) 450 (C) 480 (D) 504 (E) 600
Answer: E
A car rental company charges for mileage as follows: 5 dollars per mile for the first n miles and 6 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ? Answer Choice: (A) 8d-n (B) 10d-n (C) 6d-n (D) 11d-n (E) 5*(6d-n)
Answer: C
A scientist used a unique two-color code to identify each of the test subjects involved in a certain study. If the scientist found that choosing from among seven colors produced enough color codes to identify all but 5 of the test subjects, how many test subjects were in the study? (Assume that the order of the colors in the codes does not matter.) Answer Choice: (A) 25 (B) 26 (C) 27 (D) 28 (E) 29
Answer: B
In a city where all streets run east-to-west, all avenues run north-to-south, and all intersections are right angles as shown below, Jenn needs to walk from the corner of 1st Street and 1st Avenue to the corner of 6th Street and 3rd Avenue. If her friend Amanda is sitting on a bench on 4th Street halfway between 1st and 2nd Avenues, and Jenn chooses her path randomly from any route that will allow her to walk exactly seven blocks to her destination, what is the probability that Jenn will walk down 4th St. past Amanda? Answer Choice: (A) 1/42 (B) 1/21 (C) 1/7 (D) 1/3 (E) 1/2
Answer: C
The figure above shows the dimensions of a semicircular cross section of a one-way tunnel. The single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. If vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit T on the height of vehicles that are allowed to use the tunnel? Answer Choice: (A) 5½ ft (B) 7½ ft (C) 8 ½ ft (D) 9½ ft (E) 10 ft
Answer: B
For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <2>*<4>? Answer Choice: (A)  60 (B)  116 (C)  210 (D)  263 (E)  360
Answer: E
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons? Answer Choice: (A) 165 (B) 878 (C) 166 (D) 199 (E) 234
Answer: A
Two cyclists are running on a circular track of 500m.They start from the same point A at the same time.If they meet for the first time at a point 150 m from A, which of the following could be the possible ratio of their speeds? Answer Choice: (A) 1:3 (B) 2:3 (C) 3:5 (D) 3:7 (E) 7:11
Answer: D
Walking with 4/5 of my usual speed, I arrive at the bus stop 10 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed? Answer Choice: (A) 32 (B) 36 (C) 40 (D) 44 (E) 48
Answer: C
AMOUNT OF BACTERIA PRESENT
Time Amount
1:00 P.M. 8.0 grams
4:00 P.M. x grams
7:00 P.M. 12.4 grams
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same fraction during each of the two 3-hour periods shown, how many grams of bacteria were present at 4:00 P.M.? Answer Choice: (A) 12.0 (B) 12.1 (C) 12.2 (D) 10.0 (E) 10.4
Answer: D
A man can swim in still water at 6 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Answer Choice: (A) 3.9 (B) 4.2 (C) 5.3 (D) 2 (E) 5.2
Answer: D
The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 24 hours and a standard deviation of 12 hours. The number of hours that Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week? Answer Choice: (A) 30 (B) 20 (C) 18 (D) 12 (E) 6
Answer: E
Let G represent a set of four distinct prime numbers. If the sum of the numbers in G is even and x is a member of G, then what is the least possible value that x can be? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 5 (E) 7
Answer: C
How many numbers between 11 and 90 are divisible by 7? Answer Choice: (A) 10 (B) 7 (C) 11 (D) 19 (E) 15
Answer: C
The sum of all two digit numbers divisible by 7 is Answer Choice: (A) 910 (B) 510 (C) 728 (D) 628 (E) 810
Answer: C
If a2 + b2 + c2 = 390 and ab + bc + ca = 5, then a + b + c is Answer Choice: (A) 19 (B) 20 (C) 25 (D) 30 (E) 64
Answer: B
A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 5000 as profit , what is their total profit? Answer Choice: (A) 28000 (B) 30000 (C) 32000 (D) 35000 (E) None of these
Answer: D
If the circus were to sell all of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 6% and sold only 200 tickets as a result, what percent less would last month's revenue be compared to this month's revenue? Answer Choice: (A) 2 (B) 5 (C) 300/53 (D) 110/53 (E) 9/4
Answer: C
The radius of a cylinder is 2 r units and height is 3 r units. Find the curved surface? Answer Choice: (A) 862 (B) 298 (C) 440 (D) 278 (E) 278
Answer: C
A man buys a cycle for Rs.1400 and sells it at loss of 15%. What is the selling price of the cycle? Answer Choice: (A) 1192 (B) 1191 (C) 1118 (D) 1190 (E) 1112
Answer: D
We can rent a boat for x cents per minute for the first 60 minutes and then y cents for each additional minute. How much will it cost to rent a boat for z minutes, where z>60? Answer Choice: (A) x + 60y (B) 60x+(z-60)y (C) x + zy (D) 60y+(z-60)x (E) 60x + zy
Answer: B
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is? Answer Choice: (A) 9.5 (B) 10 (C) 10.5 (D) 11.5 (E) 12
Answer: D
4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. What is half of that number? Answer Choice: (A) 311 (B) 312 (C) 313 (D) 314 (E) 315
Answer: E
A certain stock exchange designates each stock with a two-letter or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes without using the letter A? Answer Choice: (A) 16,250 (B) 16,500 (C) 16,750 (D) 17,000 (E) 17,250
Answer: A
The ages of two person differ by 20 years. If 8 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively Answer Choice: (A) 33, 13 (B) 25, 5 (C) 29, 9 (D) 50, 30 (E) 20,10
Answer: A
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is? Answer Choice: (A) 20:15:15 (B) 20:15:18 (C) 20:15:12 (D) 20:15:14 (E) 20:15:11
Answer: C