loafeihong/math_mmlu_format huggingface dataset:
The average mark of the students of a class in a particular exam is 90. If 2 students whose average mark in that exam is 45 are excluded, the average mark of the remaining will be 95. Find the number of students who wrote the exam? Answer Choice: (A) 10 (B) 40 (C) 20 (D) 30 (E) 25
Answer: C
The set S has 36 different subsets each of which contains exactly two elements. How many subsets of S could contain exactly six elements each? Answer Choice: (A) 96 (B) 80 (C) 84 (D) 88 (E) 92
Answer: C
The length, breadth and height of a room are in the ratio 4 : 4 : 2. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will Answer Choice: (A) (a) decrease by 37.5% (B) (b) decrease by 13.64% (C) (c) decrease by 15% (D) (d) decrease by 18.75% (E) (e) decrease by 30%
Answer: A
If Z= Y^2 + d W+ 9 does not cut the x-axis, then which of the following could be a possible value of d?
I. 0
II. -3
III. 9 Answer Choice: (A) III only (B) II only (C) I and II only (D) II and III only (E) I and III only
Answer: C
The number of stamps that P and Q had were in the ratio of 7:4 respectively. After P gave Q 8 stamps, the ratio of the number of P's stamps to the number of Q's stamps was 6:5. As a result of the gift, P had how many more stamps than Q? Answer Choice: (A) 4 (B) 8 (C) 12 (D) 16 (E) 20
Answer: B
How many positive even integers less than 100 contain digits 5 or 7? Answer Choice: (A) 10 (B) 17 (C) 18 (D) 19 (E) 20
Answer: A
3^b + 3^b + 3^b = Answer Choice: (A) 7^b (B) 7^(b + 1) (C) 7^(7b) (D) 3^(b + 1) (E) 49^B
Answer: D
A and B go around a circular track of length 150 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point? Answer Choice: (A) 30 sec (B) 198 sec (C) 178 sec (D) 665 sec (E) 276 sec
Answer: A
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 do they have in their wallets? Answer Choice: (A) D$20 C$13 Au$60 (B) D$40 C$23 Au$40 (C) D$60 C$33 Au$30 (D) D$80 C$43 Au$20 (E) D$90 C$53 Au$90
Answer: A
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.80. How much was lent at 5%? Answer Choice: (A) 228 (B) 299 (C) 266 (D) 500 (E) 1000
Answer: E
A grocer purchased 20 kg of rice at the rate of 15 per kg and 30 kg of rice at the rate of 13 per kg. At what price per kg should he sell the mixture to earn 331/3% profit on the cost price? Answer Choice: (A) 28.0 (B) 20.0 (C) 18.4 (D) 17.4 (E) None of these
Answer: C
Weights of two friends Ram and Shyam are in the ratio 4:5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased? Answer Choice: (A) 19% (B) 10% (C) 21% (D) 16% (E) None
Answer: A
The radius of a semi circle is 6.7 cm then its perimeter is? Answer Choice: (A) 32.75 (B) 32.45 (C) 22.45 (D) 34.45 (E) 32.15
Answer: D
The average weight of 8 person's increases by 3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? Answer Choice: (A) 60 kg (B) 70 kg (C) 80 kg (D) 89 kg (E) 95 kg
Answer: D
The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students? Answer Choice: (A) 82.5 (B) 52.9 (C) 52.2 (D) 52.5 (E) 52.7
Answer: D
20 litres of mixture contains 40% alcohol and the rest water. If 8litres of water be mixed with it, the percentage of alcohol in the new mixture would be? Answer Choice: (A) 26.32% (B) 35.14% (C) 28.57% (D) 25% (E) 31.14%
Answer: C
Three numbers are in the ratio 4 : 5 : 6 and their average is 25 . The largest number is: Answer Choice: (A) 28 (B) 30 (C) 36 (D) 42 (E) 45
Answer: B
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is: Answer Choice: (A) 448 (B) 488 (C) 542 (D) 548 (E) 560
Answer: D
Calculate the standard deviation of each data set {10,10,10,10,10} Answer Choice: (A) 8.05 (B) 9 (C) 10 (D) 15 (E) 15.5
Answer: A
If x is a positive even number, then each of the following is odd EXCEPT Answer Choice: (A) (x + 3)(x + 5) (B) x^2 + 5 (C) x^2 + 6x + 9 (D) 3x^2 + 4 (E) 5(x + 3)
Answer: D
A rectangular box of volume x has width, depth and height in the ratio of 5:1:2 (in that order). What is the width as a function of x? Answer Choice: (A) (4x/12)^(1/2) (B) (10x/4)^(1/2) (C) (5x)^(1/2) (D) (2x/5)^(1/2) (E) (4x/3)^(1/2)
Answer: B
A man has a job, which requires him to work 8 straight days and rest on the ninth day. If he started work on Monday, find the day of the week on which he gets his 12th rest day. Answer Choice: (A) Thursday (B) Wednesday (C) Tuesday (D) Friday (E) None
Answer: B
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained? Answer Choice: (A) 9:1 (B) 9:9 (C) 9:7 (D) 9:5 (E) 9:2
Answer: A
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 35%? Answer Choice: (A) 228 (B) 480 (C) 267 (D) 416 (E) 276
Answer: D
What is the smallest positive integer x for which x3+5xx3+5x has a value more than 80? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: C
The cash realised on selling a 14% stock is Rs.109.25, brokerage being 1/4% is Answer Choice: (A) 123 (B) 109 (C) 100 (D) 156 (E) 240
Answer: B
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.24200. What is the share of X in the profit? Answer Choice: (A) Rs.14400 (B) Rs.26400 (C) Rs.12000 (D) Rs.12500 (E) Rs.13200
Answer: E
How many terminating zeroes W does 200! have? Answer Choice: (A)  40 (B)  48 (C)  49 (D)  55 (E)  64
Answer: C
P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day? Answer Choice: (A) 10 days (B) 14 days (C) 15 days (D) 9 days (E) 5 days
Answer: C
30 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres? Answer Choice: (A) 30 (B) 32 (C) 45 (D) Data inadequate (E) None of these
Answer: C
Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.1,20,000 earned at the end of 3 years from the start of the business in 1999? Answer Choice: (A) Rs 40000 (B) Rs 50000 (C) Rs 70000 (D) Rs 75000 (E) None
Answer: A
A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately? Answer Choice: (A) 10.7 km/hr (B) 10.8 km/hr (C) 17.8 km/hr (D) 10.5 km/hr (E) 30.8 km/hr
Answer: B
A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place? Answer Choice: (A) 2.4 km (B) 2.9 km (C) 3.4 km (D) 4.4 km (E) 5.6 km
Answer: A
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 30-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 10% (C) Increase by 14.3% (D) Increase by 12.5% (E) Cannot be determined with the given information.
Answer: B
If x = a!, which of these following values of a is the least possible value (in this list) for which the last 10 digits of the integer x will all be zero? Answer Choice: (A) 16 (B) 27 (C) 38 (D) 44 (E) 63
Answer: E
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days? Answer Choice: (A) 2/5 (B) 1/6 (C) 1/4 (D) 1/9 (E) 2/6
Answer: B
At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s – 1). An employee with a salary grade of 4 receives how many more dollars per hour than an employee with a salary grade of 1? Answer Choice: (A) $0.75 (B) $1.00 (C) $1.25 (D) $1.50 (E) $1.75
Answer: A
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) 337 (B) 278 (C) 287 (D) 270 (E) 191
Answer: D
Take a marker and start from a corner of a cube. How many edges you can trace if you dont move the marker twice anywhere and never remove it? (You can move the marker only on the corner and edges) Answer Choice: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11
Answer: C
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit? Answer Choice: (A) Rs 14400 (B) Rs 26400 (C) Rs 12000 (D) Rs 12500 (E) Rs 13000
Answer: A
An article is bought for Rs.675 and sold for Rs.900, find the gain percent? Answer Choice: (A) 33 1/8% (B) 33 3/3% (C) 33 1/3% (D) 32 1/3% (E) 33 5/3%
Answer: C
Two cups X and Y contain coffee and water combined in the ratio 8:5 and 5:2 correspondingly. What is the ratio in these 2 combinations be combined to get a new combination has coffee and a water in the ratio of 9:4? Answer Choice: (A) 2:5 (B) 2:3 (C) 2:7 (D) 2:9 (E) None of these
Answer: C
A seller uses 840gm in place of 1kg to sell his goods. Find his actual % profit or loss, when he sells his article his article on 4% gain on cost price? Answer Choice: (A) 23 17/21% (B) 25% (C) 27 25/37% (D) 30% (E) 32%
Answer: A
Write 840,000,000,000 in scientific notation. Answer Choice: (A) 8.4 * 10^11 (B) 800.900 * 10^11 (C) 8.900 * 10^11 (D) 80.9000* 10^11 (E) 08.900 * 10^11
Answer: A
The product of all the prime numbers less than 20 is closest to which of the following powers of 20 ? Answer Choice: (A)  10^9 (B)  10^8 (C)  10^7 (D)  10^6 (E)  10^5
Answer: C
Tough and Tricky questions: Distance/Rate.
On a reconnaissance mission, a state-of-the-art nuclear powered submarine traveled 300 miles to reposition itself in the proximity of an aircraft carrier. This journey would have taken 1.5 hour less if the submarine had traveled 10 miles per hour faster. What was the average speed, in miles per hour, for the actual journey? Answer Choice: (A) 20 (B) 40 (C) 60 (D) 80 (E) 100
Answer: B
A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent W of the cost would the gross profit on the item have been if it had been sold without the discount? Answer Choice: (A) 20% (B) 40% (C) 50% (D) 60% (E) 75%
Answer: C
The expression 10^12−120 is divisible by all of the following integers EXCEPT Answer Choice: (A) 7 (B) 3 (C) 4 (D) 8 (E) 11
Answer: A
The public library has exactly 2 floors. It has 1/3 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor? Answer Choice: (A) 1/4 (B) 5/14 (C) 5/9 (D) 9/14 (E) 18/23
Answer: E
Seller selling an apple for Rs.19, a Seller loses 1/6th of what it costs him. The CP of the apple is? Answer Choice: (A) 10 (B) 12 (C) 20 (D) 18 (E) 21
Answer: C
Ifaequals the sum of the even integers from 2 to 60, inclusive, andbequals the sum of the odd integers from 1 to 59, inclusive, what is the value of a - b ? Answer Choice: (A) 1 (B) 10 (C) 30 (D) 20 (E) 21
Answer: C
The value of (1/log3 60 + 1/log4 60 + 1/log5 60) is: Answer Choice: (A) 0 (B) 1 (C) 5 (D) 60 (E) 2
Answer: B
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability W that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls? Answer Choice: (A) 8/28 (B) W=9/28 (C) W=10/28 (D) 10/18 (E) 11/18
Answer: B
Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay? Answer Choice: (A) 30 years (B) 40 years (C) 32 years (D) 48 years (E) None of these
Answer: B
A, B and C start a business each investing 20,000. After 6 months A withdrew 5000, B withdrew 4000 and C invests 6000 more. At the end of the year, a total profit of 67,600 was recorded. Find the share of B. Answer Choice: (A) 20,000 (B) 21,200 (C) 21,600 (D) 20,500 (E) None of these
Answer: C
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 45 liters and they are all empty, how much money total will it cost to fuel all cars? Answer Choice: (A) 320$ (B) 372$ (C) 420$ (D) 450$ (E) 480$
Answer: B
The point A and point B is 30 miles apart, the point B and point C is 25 miles apart. A car travels from point A to point B in 30 min and point B to point C in 40 min. What is the average speed of the car? Answer Choice: (A) 34.15 (B) 40.35 (C) 47.14 (D) 50.12 (E) 56.66
Answer: C
The L.C.M of two numbers is 2310 and their H.C.F is 30. If one number is 385 the Other is Answer Choice: (A) 180 (B) 300 (C) 270 (D) 250 (E) 350
Answer: A
If n is a positive integer, which of the following is a possible value of |46 - 5n| ? Answer Choice: (A) 7 (B) 2 (C) 11 (D) 15 (E) 20
Answer: C
The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? Answer Choice: (A) 227 (B) 299 (C) 450 (D) 750 (E) 211
Answer: C
Sum of three numbers 286, If the first number be twice then second and third number be one third of the first, then the second number is Answer Choice: (A) A)70 (B) B)71 (C) C)78 (D) D)73 (E) E)74
Answer: C
Rony walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:20. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 35 meters. What is Rony's speed in meters per minute? Answer Choice: (A) 108 (B) 175 (C) 198 (D) 216 (E) 252
Answer: B
Rs.1200 is divided so that 5 times the first share, 10 times the 2nd share and fifteen times third share amount to the same. What is the value of the second share? Answer Choice: (A) s525 (B) s527 (C) s598 (D) s400 (E) s500
Answer: D
Mohit sold an article for $12000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article? Answer Choice: (A) 16000 (B) 25000 (C) 10000 (D) 18000 (E) 17000
Answer: C
A cab driver 5 days income was $250, $400, $750, $400 , $500. Then his average income is? Answer Choice: (A) $440 (B) $450 (C) $460 (D) $470 (E) $480
Answer: C
The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons? Answer Choice: (A) 175 (B) 116 (C) 197 (D) 176 (E) 267
Answer: D
What is the next number of the following sequence.
3, 10, 13, 20, 23, 30, Answer Choice: (A) 28 (B) 29 (C) 30 (D) 33 (E) 36
Answer: D
A regular square is inscribed in a circle. If A and B are adjacent vertices of the pentagon and O is the center of the circle, what is the value of ∠OAB ? Answer Choice: (A) 45 degrees (B) 54 degrees (C) 72 degrees (D) 84 degrees (E) 108 degrees
Answer: A
5 noun, 4 verbs and 3 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this?? Answer Choice: (A) 360 (B) 430 (C) 510 (D) 540 (E) 630
Answer: A
The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the father insists of standing by his first child? Answer Choice: (A) 12 (B) 24 (C) 30 (D) 48 (E) 120
Answer: D
If x < y < z and y-x > 1, where x is an even integer and y and z are odd integers, what is the least possible value of z - x? Answer Choice: (A) 6 (B) 3 (C) 8 (D) 9 (E) 10
Answer: B
A certain city with a population of 144,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ? Answer Choice: (A) a) 10,700 (B) b) 10,800 (C) c) 10,900 (D) d) 12,000 (E) e) 11,100
Answer: D
2, 6, 12, 20, 30, 42, 56, (...) Answer Choice: (A) 62 (B) 74 (C) 72 (D) 81 (E) 58
Answer: C
In what ratio must water be mixed with milk to gain 1623% on selling the mixture at cost price? Answer Choice: (A) 6 : 1 (B) 1 : 6 (C) 1 : 4 (D) 4 : 1 (E) None of these
Answer: B
Two mixers and one T.V. cost Rs. 7000, while two T.V.s and a mixer cost Rs, 9800. The value of one T.V. is: Answer Choice: (A) Rs.4000 (B) Rs.4500 (C) Rs.4300 (D) Rs.4200 (E) None of these
Answer: D
The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula C = 100,000p/(100 - p). According to this estimate, how much more would it cost to remove 90 percent of the pollutant from the pond than it would cost to remove 40 percent of the pollutant? Answer Choice: (A)  $500,000 (B)  $100,000 (C)  $50,000 (D)  $10,000 (E)  $5,000
Answer: A
The average age of a class of 12 students is 8 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher Answer Choice: (A) 30 Years (B) 31 Years (C) 21 Years (D) 34 Years (E) 49 Years
Answer: C
A man counted his animals, 80 heads and 280 legs (ducks and goats). how many goats are there? Answer Choice: (A) 30 (B) 40 (C) 50 (D) 60 (E) 70
Answer: D
A fisherman sells 300 fish for Rs. 9000 at a profit of Rs. 6 per fish. Find his cost price for one metre of cloth? Answer Choice: (A) 24 (B) 36 (C) 30 (D) 18 (E) 20
Answer: A
Pipe A can fill a tank in 6 hours, pipe B in 8 hours, and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled? Answer Choice: (A) 2.5 (B) 3 (C) 3.5 (D) 4 (E) 4.5
Answer: B
If x is the reciprocal of a positive integer, then the maximum value of x^y, where y = –x^2, is achieved when x is the reciprocal of Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
The area of an isosceles trapezoid with sides of length 5 and bases of length 9 and 15 is? Answer Choice: (A) 44 (B) 48 (C) 46 (D) 47 (E) 50
Answer: B
In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr? Answer Choice: (A) 5.0 sec (B) 2.9 sec (C) 1.3 sec (D) 2.9 sec (E) 1.8 sec
Answer: A
The price of rice falls by 10%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously? Answer Choice: (A) 5 kg (B) 15 kg (C) 25 kg (D) 30 kg (E) None
Answer: E
The total marks obtained by a student in Mathematics and Physics is 40 and his score in Chemistry is 20 marks more than that in Physics. Find the average marks scored in Mathamatics and Chemistry together. Answer Choice: (A) 40 (B) 26 (C) 27 (D) 28 (E) 30
Answer: E
Can you find a number such that if we multiply that number by 1 or 2 or 3 or 4 or 5 or 6, then the resultant number contains same all digits (of course in a different place) Answer Choice: (A) 143258 (B) 142876 (C) 142881 (D) 142852 (E) 142857
Answer: E
On a partly cloudy day, Derek decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction E of the total distance did he cover while the sun was shining on him? Answer Choice: (A) 1/4 (B) 4/5 (C) 1/5 (D) 1/6 (E) 1/7
Answer: E
There are between 90 and 100 cards in a collection of cards. If they are counted out 3 at a time, there is 1 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection? Answer Choice: (A) 91 (B) 93 (C) 95 (D) 97 (E) 99
Answer: D
A man can row a boat at 25 kmph in still water. If the speed of the stream is 5 kmph, what is the time taken to row a distance of 50 km downstream? Answer Choice: (A) 1/2 (B) 4/3 (C) 2/3 (D) 5/3 (E) 1/3
Answer: D
The Salary of an employee increase consistently by 15% per year. If his present salary is Rs. 24000 then what will his salary be after 3 years ? Answer Choice: (A) Rs. 32497 (B) Rs. 34384 (C) Rs. 35065 (D) Rs. 36501 (E) Rs. 37650
Answer: D
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is Answer Choice: (A) 1/26 (B) 1/25 (C) 1/20 (D) 1/21 (E) 1/22
Answer: A
In how many ways can two members be selected from a group of ten members? Answer Choice: (A) 10C2 (B) 10C8 (C) 10C4 (D) 10C3 (E) 10C1
Answer: A
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 7 people read all three newspapers. Find the minimum number of people who read both A and B but not C. Answer Choice: (A) A)1 (B) B)2 (C) C)3 (D) D)0 (E) E)5
Answer: A
A is 1.5 times as fast as B. A alone can do the work in 30 days. If A and B work on alternative days, beginning with A, in how many days will the work be completed? Answer Choice: (A) 23 (B) 22 (C) 21 (D) 36 (E) 25
Answer: D
An apple orchard grows red and green apples. On the first day of harvest, 496 apples are collected. There are three times as many red apples as there are green apples. How many green apples were harvested? Answer Choice: (A) 99 (B) 112 (C) 118 (D) 124 (E) 130
Answer: D
If A's height is 45% less than that of B, how much percent B's height is more than that of A? Answer Choice: (A) 66.66% (B) 81.81% (C) 66.766% (D) 86.66% (E) 66.65%
Answer: B
A and B’s salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A’s salary? Answer Choice: (A) Rs.500 (B) Rs.750 (C) Rs.1250 (D) Rs.1500 (E) Rs.1800
Answer: D
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50/r years. If Luke's parents invested $12,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when Luke is ready for college? Answer Choice: (A) 62,000 (B) 85,500 (C) 95,500 (D) 100,500 (E) 100,000
Answer: A
The value of ((x – y)³ + (y - z)³ + (z – x)³)/(18 (x – y) (y – z) (z – x))
is equal to : Answer Choice: (A) 0 (B) 1/6 (C) 1 (D) 1/4 (E) 1/3
Answer: B
If mn > 0, which of the following must be negative? Answer Choice: (A) 2m+n (B) 2m/n (C) m/n (D) -2mn (E) -m/-n
Answer: D
There are 2 sections A and B in a class, consisting of 50 and 40 students respectively. If the average weight of section A is 50kg and that of section B is 70kg, Find the average of the whole class? Answer Choice: (A) 50.78kg (B) 49.32kg (C) 61.67kg (D) 58.88kg (E) 70.89kg
Answer: D
The median of a triangle is the line from any vertex to the midpoint of the opposite side. Triangle ABC has vertices A = (0, 5), B = (–1, –1), and C = (5, 2). What is the slope of the median from A to the midpoint of BC? Answer Choice: (A) –3/4 (B) >–4/3 (C) –5 (D) –5/2 (E) –9/4
Answer: E