loafeihong/math_mmlu_format huggingface dataset:
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay? Answer Choice: (A) 1/3 rd (B) 2/5 th (C) 2/3 rd (D) 1/5 th (E) 2/5 th
Answer: A
If p - q = 2 and
p2+q2=26
, find the value of pq. Answer Choice: (A) 7 (B) 8 (C) 9 (D) 11 (E) 10
Answer: D
A cylinder of height h is 5/6 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h? Answer Choice: (A) 25% (B) 50% (C) 60% (D) 72% (E) 100%
Answer: D
In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/6. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life? Answer Choice: (A) 116 (B) 146 (C) 152 (D) 162 (E) 170
Answer: A
A train passes a station platform in 34 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Answer Choice: (A) 200 (B) 210 (C) 240 (D) 250 (E) 260
Answer: B
If r<0, which of the following must be true? Answer Choice: (A) –100 < r < 100 (B) r ≤ –1 (C) r ≤ 1 (D) r^2 ≥ 1/4 (E) –100 < r < 0
Answer: C
What is the solution of the equations x - y = 0.1 and 1(x + y)-1 = 2 ? Answer Choice: (A) x = 0.3, y = -0.2 (B) x = 1, y = 0.1 (C) x = 2, y = 1.1 (D) x = 1.2, y = 0.3 (E) None
Answer: A
Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent Q of all the possible subcommittees that include Michael also include Anthony? Answer Choice: (A)  20% (B)  30% (C)  40% (D)  50% (E)  60%
Answer: C
78 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,075 bacteria each. How many bacteria are there approximately? Answer Choice: (A) 10^7 (B) 10^8 (C) 10^9 (D) 10^10 (E) 10^11
Answer: B
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18900. A's share is? Answer Choice: (A) 6300 (B) 2765 (C) 6000 (D) 1298 (E) 1261
Answer: A
What is the 4 digit no. in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, and the last is 3 times the second? Answer Choice: (A) 1123 (B) 1234 (C) 1349 (D) 1455 (E) 1567
Answer: C
$2,000 is deposited in a savings account that pays 4% annual interest compounded semiannually. To the nearest dollar, how much is in the account at the end of the year? Answer Choice: (A) $2125.15 (B) $2083.12 (C) $2184.22 (D) $2150.84 (E) $2080.80
Answer: E
Sides of a rectangular park are in the ratio 3: 2 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is? Answer Choice: (A) 287 (B) 369 (C) 125 (D) 279 (E) 361
Answer: C
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 2.5 sec (B) 2.6 sec (C) 2.7 sec (D) 2.8 sec (E) 2.9 sec
Answer: A
What is the probability of flipping a fair coin four times and the coin landing on heads on exactly two flips? Answer Choice: (A) 1/6 (B) 3/4 (C) 1/3 (D) 2/5 (E) 3/8
Answer: E
A bus trip of 360 miles would have taken 1 hour less if the average speed V for the trip had been greater by 5 miles per hour. What was the average speed V, in miles per hour, for the trip? Answer Choice: (A) 35 (B) 40 (C) 45 (D) 50 (E) 55
Answer: B
By selling 10 pencils for a rupee a man loses 15%. How many for a rupee should he sell in order to gain 15%? Answer Choice: (A) 8.39 (B) 6.39 (C) 7.39 (D) 9.39 (E) 2.39
Answer: C
4,6,8,10,12,.... Answer Choice: (A) 58 (B) 14 (C) 61 (D) 62 (E) 63
Answer: B
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.6. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.2. If VP Adams doesn’t approve the proposal, then the probability that vice-president Baker will approve the proposal is 0.3. What is the probability that at least one of the two VPs, approves Johnson’s proposal? Answer Choice: (A) 0.36 (B) 0.24 (C) 0.28 (D) 0.48 (E) 0.72
Answer: A
JOHN and Antony can finish the work 36 days if they work together. They worked together for 24 days and then Antony left. JOHN finished the remaining work in another 24 days. In how many days JOHN alone can finish the work? Answer Choice: (A) 30 days (B) 72 days (C) 70 days (D) 80 days (E) 90 days
Answer: B
A cycle is bought for Rs.750 and sold for Rs.1080, find the gain percent? Answer Choice: (A) 22 (B) 44 (C) 99 (D) 88 (E) 11
Answer: B
The sum of first four prime numbers is? Answer Choice: (A) 17 (B) 23 (C) 24 (D) 28 (E) 30
Answer: A
If x is equal to the sum of the integers from 50 to 60, inclusive, and y is the number of EVEN integers from 50 to 60, inclusive, what is the value of x+y ? Answer Choice: (A) 171 (B) 281 (C) 391 (D) 491 (E) 611
Answer: E
3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 5 men and 2 women will do that task. Answer Choice: (A) 6/7 (B) 3/10 (C) 3/18 (D) 3/16 (E) 3/11
Answer: A
Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 14 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately. Answer Choice: (A) 50 days (B) 100 days (C) 120 days (D) 110 days (E) 90 days
Answer: A
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 360 votes. Find the number of votes casted to the winning candidate? Answer Choice: (A) 456 (B) 744 (C) 930 (D) 1200 (E) 1400
Answer: C
Alfred buys an old bike for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the bike for Rs. 5800, his gain percent is? Answer Choice: (A) 5 5/11% (B) 5% (C) 5/7% (D) 6% (E) 6/11%
Answer: A
Diane find 2 and a half cans of paint are just enough to paint one third of her room. How many more cans of paint will she need to finish her room and paint a second room of the same size? Answer Choice: (A) 5 (B) 7 and a half (C) 10 (D) 12 and a half (E) 15
Answer: D
Two cars, Car1 and Car2 move towards each other from Q and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach Q starting from Y? Answer Choice: (A) 15.5 sec (B) 8.4 sec (C) 33.6 sec (D) 31.11 sec (E) 16.8 sec
Answer: D
If, in a baseball game, a single picher can decide to throw either a 100mph fastball or 60 mph knuckleball on any pitch, how much less time, in seconds, does the batter have from when the ball is released as a fastball than when the ball is released as a knuckle ball? (Assume where the batter's point of contact is exactly 60ft away from the pitcher's release point. 5280 ft = 1 mile.) Answer Choice: (A) 6/22s (B) 7/22s (C) 8/22s (D) 9/22s (E) 15/22s
Answer: A
It takes 8 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 8 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 5:00 pm? Answer Choice: (A) 6:06 pm (B) 6:12 pm (C) 6:24 pm (D) 6:42 pm (E) 6:56 pm
Answer: D
A cylindrical can has a radius of 3 centimeters and a height of 12 centimeters. What is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over-lapping? Answer Choice: (A) 16 pi (B) 72 pi (C) 96 pi (D) 192 pi (E) 576 pi
Answer: B
What profit percent is made by selling an article at a certain price, if by selling at 1/3rd of that price, there would be a loss of 20%? Answer Choice: (A) 140% (B) 29% (C) 70% (D) 27% (E) 28%
Answer: A
Firm A's revenues are described by the equation Ra = 15.12x and its costs by Ca = 12.87x + 2400.
Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500.
(x denotes the quantity of sales).
If A's volume of sales increases from 1000 to 2000 over the same period that B's volume increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is Answer Choice: (A) 20% (B) 30% (C) 60% (D) 50% (E) 33%
Answer: D
In a graduating class, the difference between the highest and lowest salaries is $100,000. The median salary is $50,000 higher than the lowest salary and the average salary is $20,000 higher than the median. What is the minimum number of students E in the class? Answer Choice: (A) A)10 (B) B)12 (C) C)15 (D) D)20 (E) E)25
Answer: C
A man can row 8.4 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) 2.8 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
A train passes a station platform in 36 sec and a man standing on the platform in 23 sec. If the speed of the train is 54 km/hr. What is the length of the platform? Answer Choice: (A) 288 (B) 195 (C) 881 (D) 1277 (E) 121
Answer: B
In a km race, A beats Bby 28 metres or 7 seconds. Find A's timeoverthe course Answer Choice: (A) 4 min (B) 3 min 3 sec (C) 4 min 4 sec (D) 5 min 3 sec (E) 4 min 3 sec
Answer: E
What is the units digit of the product of the first 3 primes? Answer Choice: (A) 1 (B) 3 (C) 6 (D) 0 (E) 2
Answer: C
If 5 < x < 9 and y = x + 7, what is the greatest possible integer value of x + y? Answer Choice: (A) 21 (B) 22 (C) 23 (D) 24 (E) 25
Answer: D
The price of lunch for 12 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity? Answer Choice: (A) 11.73 (B) 12 (C) 13.8 (D) 14 (E) 15
Answer: E
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.4500. How much third person will get? Answer Choice: (A) 2400 (B) 2429 (C) 2980 (D) 2000 (E) 2872
Answer: D
A river 3m deep and 32 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is? Answer Choice: (A) 4500 (B) 3200 (C) 3400 (D) 2761 (E) 2882
Answer: B
A batsman scored 140 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets? Answer Choice: (A) 50% (B) 40% (C) 60% (D) 57% (E) 80%
Answer: D
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs? Answer Choice: (A) 6.25 (B) 6.28 (C) 6.11 (D) 6.19 (E) 6.21
Answer: A
Find the odd man out
1,25, 31,37, 127, 503, Answer Choice: (A) 503 (B) 37 (C) 31 (D) 1 (E) 25
Answer: E
A train 600 m long can cross an electric pole in 20 sec and then find the speed of the train? Answer Choice: (A) 115 Kmph (B) 100 Kmph (C) 102 Kmph (D) 105 Kmph (E) 108 Kmph
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train? Answer Choice: (A) 535 m (B) 178 m (C) 250 m (D) 168 m (E) 150 m
Answer: C
What will come in place of the x in the following Number series? 46080, 3840, 384, 48, 8, 2, x Answer Choice: (A) 1 (B) 9 (C) 12 (D) 14 (E) 15
Answer: A
Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 432 as interest at the end of the loan period, what was the rate of interest? Answer Choice: (A) 3.6 (B) 6 (C) 18 (D) Cannot be determined (E) None of these
Answer: B
What will be the compound interest on Rs. 40000 after 3 years at the rate of 12 % per annum Answer Choice: (A) Rs 16123.20 (B) Rs 16123.30 (C) Rs 16197.12 (D) Rs 16123.50 (E) None of these
Answer: C
Every disk in a bag is either blue, yellow or green. The ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8. If the total number of disks in the bag is 72, how many more green disks than blue disks are in the bag? Answer Choice: (A) 20 (B) 28 (C) 30 (D) 35 (E) 40
Answer: A
How much is 90% of 40 is greater than 4/5 of 25? Answer Choice: (A) 22 (B) 16 (C) 88 (D) 12 (E) 66
Answer: B
If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 45. By how much do the two digits differ? Answer Choice: (A)  3 (B)  4 (C)  5 (D)  6 (E)  7
Answer: C
On Monday, Lou drives his vehicle with 27-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his vehicle to 32-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lou's tires make per second? Answer Choice: (A) Decrease by 14.3% (B) Decrease by 16% (C) Increase by 14.3% (D) Increase by 12.5% (E) Cannot be determined with the given information.
Answer: B
The ratio of boys to girls in a class is 2:3. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one third of the boys and two-third of the girls in the class? Answer Choice: (A) a)160 degree (B) b) 168 degree (C) c)191 degree (D) d)272 degree (E) e)192 degree
Answer: E
Working together, printer A and printer B would finish the task in 10 minutes. Printer A alone would finish the task in 30 minutes. How many pages does the task contain if printer B prints 5 pages a minute more than printer A ? Answer Choice: (A) 125 (B) 150 (C) 175 (D) 200 (E) 225
Answer: B
If d= (b-1)(b+2), then what is the least possible value of d? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) -9/4
Answer: E
Papaya, a popular soft drink, contains only four ingredients. Soda water comprise 4/7 of Papaya and natural lemon juice makes 1/3 of Papaya. The amounts of sugar and papaya puree in Papaya are equal. Due to a malfunction, the mixing machine mixes double the regular amount of lemon juice and three times the regular amount of papaya puree. If no other changes were made to the relative quantities of the ingredients, what is the fractional portion of soda water in the drink that comes out of the malfunctioning machine? Answer Choice: (A) 7/30 (B) 7/21 (C) 2/5 (D) 12/29 (E) 4/7
Answer: C
Each shelf of a bookcase contained 11 books. If the librarian took out 15 books and rearranged the remaining books so that all shelves but the last one contained 7 books and that last shelf contained 12 books, how many shelves does the bookcase have? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: A
Which is a better investment 9% stock at 580 or 6 2/5 stock at 312? Answer Choice: (A) 9% stock at 580 (B) Both are equally good (C) 6 2/5 stock at 312 (D) None (E) Cannot be compared, as the total amount of investment is not given
Answer: C
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle. Answer Choice: (A) 165∏ cm (B) 65∏ cm (C) 12∏ cm (D) 14∏ cm (E) 16∏ cm
Answer: C
An urn contains 6 black and 2 white balls. Two balls are drawn from the urn one after the other
without replacement. What is the probability that both drawn balls are black? Answer Choice: (A) 1/5 (B) 3/7 (C) 2/5 (D) 3/5 (E) 15/28
Answer: E
What number has a 15:1 ratio to the number 10? Answer Choice: (A) 130 (B) 100 (C) 200 (D) 150 (E) 120
Answer: D
If you select two cards from a pile of cards numbered 1 to 10, what is the probability that the sum of the numbers is less than 6? Answer Choice: (A) 1/45 (B) 2/45 (C) 4/45 (D) 2/15 (E) 1/5
Answer: C
Siddharth wants to borrow Rs.7000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction? Answer Choice: (A) s.21.60 (B) s.21.68 (C) s.25.2 (D) s.21.98 (E) s.21.29
Answer: C
On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 16 more transactions than Cal. How much transactions did Jade handled? Answer Choice: (A) 42 (B) 52 (C) 62 (D) 72 (E) 82
Answer: E
Consider the word ROTOR. Whichever way you read it, from left to right or from right to left, you get the same word. Such a word is known as palindrome. Find the maximum possible number of 5-letter palindromes Answer Choice: (A) 1700 (B) 7570 (C) 1576 (D) 17576 (E) 500
Answer: D
The distance from Springville to Franklin is 400 Km. Travelling at 120 Km/h from Springville to Franklin, Teresa arrives two hours faster than her return trip, which took five hours. What speed was Teresa travelling on the return trip? Answer Choice: (A) 50 Km/h (B) 55 Km/h (C) 62 Km/h (D) 72 Km/h (E) 80 Km/h
Answer: D
What least number should be added to 1054, so that the sum is completely divisible by 23 Answer Choice: (A) A)4 (B) B)1 (C) C)2 (D) D)3 (E) E)5
Answer: A
What is the remainder when you divide 2^200+1 by 7? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: E
3,8,24,48,120,? Answer Choice: (A) 166 (B) 167 (C) 168 (D) 198 (E) 178
Answer: C
If the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 55 minutes? Answer Choice: (A) 80 (B) 100 (C) 150 (D) 180 (E) 220
Answer: E
P persons have decided to rent a van to tour while on holidays. The price of the van is x dollars and each person is to pay an equal share. If D persons cancel their trip thus failing to pay their share, which of the following represents the additional number of dollars per person that each remaining person must pay in order to still rent the van? Answer Choice: (A) Dx (B) x/(P −D) (C) Dx/(P −D) (D) Dx/(P(P −D)) (E) x/(P(P −D))
Answer: D
What percent of a day is 6 hours? Answer Choice: (A) 12% (B) 12.5% (C) 25% (D) 11.3% (E) None of these
Answer: C
If a(n) is to be entered following the rule [a(n)^2 - 1] then what are the next three entries. Answer Choice: (A) 0,-1,0 (B) 2,3,4 (C) 1,2,3 (D) 0,-1,2 (E) 0,-1,1
Answer: A
John has purchased an item on sale for $25.00. A few days later John sees the price is now $32.00. By what percentage of the price John paid has the price risen? Answer Choice: (A) 5 (B) 7 (C) 15 (D) 20 (E) 28
Answer: E
Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 30 seconds and his sister’s time is currently 9 minutes 36 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister? Answer Choice: (A) 3% (B) 5% (C) 9% (D) 10% (E) 12%
Answer: C
Of 45 applicants for a job, 28 had at least 5 years of prior work experience, 24 had advanced degrees, and 20 had at least 5 years of prior work experience and advanced degrees. How many of the applicants had neither 5 years of prior work experience nor advanced degrees? Answer Choice: (A) 9 (B) 13 (C) 18 (D) 20 (E) 23
Answer: B
In a 200-mile trip, the first 50 miles were completed at 40 mph. If the average speed for the whole trip was 50 mph, what was the average speed in the last 150 miles? Answer Choice: (A) 592/11 mph (B) 594/11 mph (C) 596/11 mph (D) 598/11 mph (E) 600/11 mph
Answer: E
A grocer has a sale of Rs. 800, Rs. 900, Rs. 1000, Rs. 700 and Rs. 800 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 850? Answer Choice: (A) s. 440 (B) s. 850 (C) s. 450 (D) s. 900 (E) s. 950
Answer: D
In baseball, the batting average is defined as the ratio of a player’s hits to at bats. If a player had anywhere from 6 to 8 at bats in a recent game and had anywhere from 6 to 7 hits in the same game, the player’s actual batting average for that game could fall anywhere between Answer Choice: (A) 0.25 and 1.00 (B) 0.50 and 0.75 (C) 0.70 and 1.25 (D) 0.33 and 0.50 (E) 0.50 and 0.66
Answer: C
How many odd factors does 160 have? Answer Choice: (A)  2 (B)  4 (C)  5 (D)  6 (E)  8
Answer: A
A girl has exactly 5 quarters, 8 dimes, and 10 nickels in her pocket. If she withdraws a number of these coins at random, how many coins would she have to withdraw to ensure that she has at least a 50 percent chance of withdrawing at least one quarter? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: B
Consider two postmen A and B respectively. A is young and can deliver 20 parcels in 3 hours while B is older than A and can deliver only 15 parcels in 4 hours. If the total number of parcels to deliver is 60, how long they will take working together. Answer Choice: (A) 121/12 hours (B) 144/36 hours (C) 144/25 hours (D) 121/25 hours (E) 141/25 hours
Answer: C
One boy forgot the lastdigit of a 7 digit telephone no. If he randomly dialthe final 3 digits after correctly dialing the 1st four, then what is the chance of dialing the correct no.? Answer Choice: (A) 2/995 (B) 1/998 (C) 1/1000 (D) 1/1100 (E) 1/1200
Answer: C
Oil cans x and y are right circular cylinders and the height and radius of y are each 4 times those of x. If the oil in can x filled to capacity sells for $2, how much does the oil in y sell for if y is only half filled? Answer Choice: (A) $60 (B) $52 (C) $63 (D) $64 (E) $68
Answer: D
For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is? Answer Choice: (A) 1 : 2 (B) 3 : 4 (C) 3 : 5 (D) 5 : 7 (E) 1 : 5
Answer: B
The average age of 31 students in a group is 16 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years? Answer Choice: (A) 31 (B) 36 (C) 48 (D) 45 (E) 57
Answer: C
A plane flies 440 km with the wind and 360 km against the wind in the same length of time. If the speed of the wind is 20 km/h, what is the speed of the plane in still air? Answer Choice: (A) 160 km/h (B) 170 km/h (C) 180 km/h (D) 190 km/h (E) 200 km/h
Answer: E
present ages of A and B are in the ratio of 5:3 respectively. 4 years hence, the ratio of their ages will become 11:9 respectively . what A's age after 3 years? Answer Choice: (A) 25 (B) 21 (C) 28 (D) 24 (E) 35
Answer: B
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct? Answer Choice: (A) 1 litre paint (B) 1 litre water (C) Â½ litre water and one litre paint (D) Â½ litre paint and one litre water (E) None of these
Answer: A
A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions? Answer Choice: (A) 42 (B) 70 (C) 140 (D) 165 (E) 462
Answer: E
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both B & G, with these two children immediately adjacent to Child A on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations are there for the children? Answer Choice: (A) 240 (B) 480 (C) 720 (D) 1440 (E) 3600
Answer: A
Coffee worth amount Rs. 126 per kg are mixed with third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg Answer Choice: (A) 175.5 (B) 200.5 (C) 125.5 (D) 225.5 (E) 250.5
Answer: A