loafeihong/math_mmlu_format huggingface dataset:
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 180 votes. Find the total number of valid votes? Answer Choice: (A) 450 (B) 570 (C) 480 (D) 520 (E) 550
Answer: A
A salesman travels a distance of 100 km in 5hours. How much faster in kilometer per hour, on an average, must he travel to make such trip in 1 hour less time? Answer Choice: (A) 2km/hr (B) 3km/hr (C) 5km/hr (D) 7km/hr (E) 10km/hr
Answer: C
At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
A.
B.
C.
D.
E. Answer Choice: (A) 5 (B) 10 (C) 24 (D) 32 (E) 120
Answer: C
In what time will a train 90 m long cross an electric pole, it its speed be 72 km/hr? Answer Choice: (A) 1.5 (B) 2.5 (C) 3.5 (D) 4.5 (E) 5.5
Answer: D
What do you get if you add 2 to 308 five times? Answer Choice: (A) 305 (B) 317 (C) 320 (D) 310 (E) 309
Answer: D
If 10 men can reap 120 acres of land in 15 days, how many acres of land can 20 men reap in 30 days? Answer Choice: (A) 120 (B) 240 (C) 360 (D) 1200 (E) 480
Answer: E
A WNBA player just signed a new contract in which she will earn a 5% increase in base pay from last year to this year. Last year, she did not have a performance bonus; but this year, she will have the opportunity to earn up to a $40,000 performance bonus. If she earns the full performance bonus, her new effective salary will be a 7% raise over last year. What will her new salary be if she earns the full performance bonus? Answer Choice: (A) 2,120,000 (B) 2,140,000 (C) 2,180,000 (D) 2,240,000 (E) 2,260,000
Answer: B
A marble shop contains 5 blue marbles, 5 red marbles, and 5 green marbles. If 2 marbles are purchased at random from the shop, what is the probability that the 2 marbles will be of the red? Answer Choice: (A) 5/15 (B) 2/21 (C) 20/15 (D) 5/210 (E) 4/14
Answer: B
How many three digits no. can be formed also including the condition that the no. can have at least two same digits ? Answer Choice: (A) 223 (B) 252 (C) 077 (D) 160 (E) 111
Answer: B
Luke and Ben are in a relay race. Luke runs the first leg of the course in 59 seconds. Ben runs the second leg of the course in 48 seconds. What was the average time they took to run a leg of the course? Answer Choice: (A) 107 seconds (B) 59 seconds (C) 48 seconds (D) 53.5 seconds (E) 35.5 seconds
Answer: D
A sports equipment store sold ping pong rackets for a total of $539. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold? Answer Choice: (A) 55 (B) 100 (C) 490 (D) 500 (E) 980
Answer: A
0.032 x 0.0162 is equal to: Answer Choice: (A) 6.48 x 10(power -4) (B) 6.84 x 10(power -4) (C) 4.68 x 10(power -4) (D) 5.184 x 10(power -4) (E) None of them
Answer: D
18% of 680 - ? = 68.7 Answer Choice: (A) 44.1 (B) 32.4 (C) 66.5 (D) 75.2 (E) 53.7
Answer: E
In the floor of a particular kitchen owned by an abstract artist, each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left. If there are nine rows in all and a total of 450 tiles in the floor, how many tiles does the leftmost row contain? Answer Choice: (A) 52 (B) 58 (C) 60 (D) 64 (E) 68
Answer: B
In an examination, a student scores 3 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 30 questions and secures 130 marks, the no of questions he attempts correctly is : Answer Choice: (A) A)35 (B) B)40 (C) C)90 (D) D)88 (E) E)37
Answer: B
The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 40. Then find the average for the last four matches? Answer Choice: (A) 37.25 (B) 33.5 (C) 34.25 (D) 35 (E) none
Answer: A
Three hundred students at College Q study a foreign language. Of these, 110 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from Answer Choice: (A) 10 to 40 (B) 40 to 100 (C) 60 to 100 (D) 60 to 110 (E) 70 to 110
Answer: C
In an entrance test, Deepika came across a mathematical patter problem.
If
6 / 7 = 2
3 / 9 = 7
8 / 2 = 6
Then
4 / 5 = ?
She was able to solve it in less than a minute. Can you? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 10
Answer: A
The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is Answer Choice: (A) 11 (B) 11.2 (C) 11.4 (D) 11.5 (E) None
Answer: D
There are 145 bananas lying in a shop which is to be divided equally among 12 candidates. Find the extra number of bananas lying with the shop owner after distribution. Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 9
Answer: A
The ratio of male to female in a class is 2:4. 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 males and two-third of the females in the class? Answer Choice: (A) a)160 degree (B) b) 168 degree (C) c)191 degree (D) d)192 degree (E) e)200 degree
Answer: E
If A speaks the truth 55% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time Answer Choice: (A) 0.29 (B) 0.33 (C) 0.41 (D) 0.482 (E) 0.411
Answer: B
The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ? Answer Choice: (A) 76 (B) 35 (C) 25 (D) 28 (E) 62
Answer: A
The speeds of 3 cars in the ratio 5:4:6. The ratio between time taken by them to travel the same distance is? Answer Choice: (A) 1:2:3 (B) 5:7:12 (C) 12:15:10 (D) 22:23:25 (E) 9:11:17
Answer: C
If A and B are two prime numbers bigger than 2, which of the following can be true?
(1) A + B is an even number.
(2) A - B is also a Even number.
(3) A^B is also a prime number Answer Choice: (A) 1 only. (B) 2 only. (C) 3 only. (D) 1 and 2 only (E) 1, 2 and 3.
Answer: D
What is the sum of the different positive prime factors of 630? Answer Choice: (A) 7 (B) 10 (C) 17 (D) 20 (E) 24
Answer: C
The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places). Answer Choice: (A) 178.89 cm (B) 178.29 cm (C) 178.79 cm (D) 177.89 cm (E) 178.69 cm
Answer: B
In how many ways can 10 engineers and 4 doctors be seated at a round table if all the 4 doctors do not sit together? Answer Choice: (A) 13! - (10! × 4!) (B) 13! × 4! (C) 14! (D) 10! × 4! (E) None of these
Answer: A
A pipe can fill a tank in 16 hours. Due to a leak in the bottom,it is filled in 24 hours. If the tank is full, how much time will the leak take to empty it ? Answer Choice: (A) 12 hrs (B) 24 hrs (C) 36 hrs (D) 48 hrs (E) 42 hrs
Answer: D
In how many different ways can 3 physics, 2 math, and 3 chemistry books be arranged in a row so that all books of the same subject are together? Answer Choice: (A) 432 (B) 456 (C) 512 (D) 556 (E) 624
Answer: A
(11^2+12^2+13^2+......+20^2)=? Answer Choice: (A) 385 (B) 2485 (C) 2870 (D) 3255 (E) None of them
Answer: B
Which of the following numbers is the number 2 not a prime factor? Answer Choice: (A) 30 (B) 48 (C) 76 (D) 82 (E) 99
Answer: E
If 36 men can do a piece of work in 25 hours, in how many hours will 14 men
do it ? Answer Choice: (A) 65 hours (B) 64 hours (C) 30 hours (D) 62 hours (E) 66 hours
Answer: B
If $ 5,000 is invested in an account that earns 16% interest compounded semi-annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8% simple yearly interest? Answer Choice: (A) $ 4 (B) $ 8 (C) $ 12 (D) $ 16 (E) $ 432
Answer: D
Consider below info to be a table:
AMOUNT OF BACTERIA
TIME - AMOUNT
1PM - 10gms
4PM - x gms
7PM - 16.9 gms
Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were present at 4PM ? Answer Choice: (A) 12.0 (B) 12.1 (C) 12.2 (D) 13.0 (E) 12.4
Answer: D
If a discount of 16% is given on the marked price of a book, the publisher gains 20%. If the discount is increased to 20% the gain percent is Answer Choice: (A) 14 2/7% (B) 14 1/7% (C) 14 3/7% (D) 14 4/7% (E) 14 5/7%
Answer: A
In a match in team X, 3% candidates got selected from the total appeared candidates. team X had an equal number of candidates appeared and 12% candidates got selected with 27 more candidates got selected than ream x. what was the number of candidates appeared from each team? Answer Choice: (A) 300 (B) 200 (C) 258 (D) 456 (E) 187
Answer: A
In a college the ratio of the numbers of boys to the girls is 8:5. If there are 175 girls, the total number of students in the college is? Answer Choice: (A) 562 (B) 356 (C) 455 (D) 416 (E) 512
Answer: C
16.02 Ã— 0.1 = ? Answer Choice: (A) 0.1602 (B) 0.001602 (C) 1.6021 (D) 0.01602 (E) None of these
Answer: C
The maximum numbers of students among them 781 pens and 710 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is Answer Choice: (A) 71 (B) 910 (C) 1001 (D) 1911 (E) None
Answer: A
R is the set of positive even integers less than 51, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ? Answer Choice: (A)  None (B)  Three (C)  Four (D)  Five (E)  Seven
Answer: B
If 6x = 10y = 14z, then what is a possible sum of positive integers x, y, and z? Answer Choice: (A) 213 (B) 58 (C) 84 (D) 122 (E) 168
Answer: A
In an examination 30% failed in Math and 70% failed in French. If 20% failed in both. What % of students passed in both. Answer Choice: (A) 25% (B) 15% (C) 20% (D) 30% (E) 10%
Answer: C
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can? Answer Choice: (A) 87 (B) 44 (C) 88 (D) 76 (E) 54
Answer: B
Winchard's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the Winchard's average score on the 5 tests to be 80? Answer Choice: (A)  80 (B)  82 (C)  84 (D)  86 (E)  88
Answer: E
Should a total ban be put on traping wild animals?
Arguments:
1. Yes. Trappers are making a lot of money
2. No. Bans on hunting and trapping are not effective Answer Choice: (A) Only 1 is true (B) Only 2 is true (C) Either 1 or 2 is true (D) Neither 1 or 2 is true (E) Either 1 or 6 is true
Answer: D
In one hour, a boat goes 11 km along the stream and 5 km against the stream. the sped of the boat in still water (in km/hr) is : Answer Choice: (A) 3 (B) 5 (C) 8 (D) 9 (E) 10
Answer: C
Find the odd man out. 13, 16, 12, 24, 12, 34, 46 Answer Choice: (A) 16 (B) 46 (C) 24 (D) 13 (E) 18
Answer: D
the two sides of a triangle are 32 and 68. the area is 960 sq.cm. find the third side of triangle? Answer Choice: (A) 45 (B) 50 (C) 60 (D) 70 (E) 80
Answer: C
The ratio between the perimeter and the width of a rectangle is 5:1. If the area of the rectangle is 54 square centimeters, what is the length of the rectangle in centimeters? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 10
Answer: D
Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern? Answer Choice: (A) 761 min (B) 100 min (C) 167 min (D) 367 min (E) 178 min
Answer: B
The grade point average of the entire class is 85. If the average of one third of the class is 97, what is the average of the rest of the class? Answer Choice: (A) 76 (B) 77 (C) 78 (D) 79 (E) 80
Answer: D
The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder? Answer Choice: (A) 872 (B) 876 (C) 440 (D) 157 (E) 452
Answer: C
A and B starts a business with Rs.8000 each, and after 8 months, B withdraws half of his capital . How should they share the profits at the end of the 10 months? Answer Choice: (A) 18:13 (B) 18:16 (C) 18:10 (D) 18:14 (E) 14:11
Answer: A
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 40 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost? Answer Choice: (A) 40 (B) 33 (C) 50 (D) 51 (E) 52
Answer: A
A real number x satisfying 1- (1/n) ≤ 3 + (1/n), for every positive integer n, is best described by ≤ Answer Choice: (A) 1 < x < 4 (B) 1 < x ≤ 3 (C) 0 < x ≤4 (D) 1 ≤ x ≤ 3 (E) None of these
Answer: C
Two locomotives are moving in the same direction at 62 mps and 26 mps. The faster train crosses the slower train in 8 seconds. What is the length of the faster train in meters? Answer Choice: (A) 247 m (B) 316 m (C) 194 m (D) 270 m (E) 288 m
Answer: E
In a six-sided polygon CQRSTV ∠C measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠C equal to, in degrees? Answer Choice: (A)  72 (B)  80 (C)  88 (D)  96 (E)  104
Answer: B
There are 3 sections with 5 questions each. If three questions are selected from each section, the chance of getting different questions is________ Answer Choice: (A) 10 (B) 100 (C) 1000 (D) 10000 (E) 6000
Answer: C
An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 48$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold? Answer Choice: (A) 52 (B) 75 (C) 92 (D) 100 (E) 184
Answer: D
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in? Answer Choice: (A) 13 min (B) 7 min (C) 9 min (D) 12 min (E) 15 min
Answer: C
The triplicate ratio of 1:2 is? Answer Choice: (A) 1:5 (B) 1:8 (C) 1:3 (D) 1:4 (E) 1:1
Answer: B
The number of sequences in which 5 players can throw a ball, so that the youngest player may not be the last is ? Answer Choice: (A) 100 (B) 96 (C) 8 (D) 62 (E) 10
Answer: B
If x is an integer, which of the following must also be an integer?
I. xy
II. y/x
III. y Answer Choice: (A) I alone (B) II alone (C) III alone (D) I and III (E) None of the above
Answer: D
If x^2 – 2y^2 = 2xy, then (x - y)^2 = Answer Choice: (A) x^2 (B) 3x^2 (C) 4xy (D) 3y^2 (E) – y^2
Answer: D
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station? Answer Choice: (A) 4/5 (B) 4/9 (C) 4/8 (D) 4/1 (E) 4/2
Answer: A
if
21=3
32=7
82=22
92=25
than
72=? Answer Choice: (A) 17 (B) 19 (C) 21 (D) 23 (E) 25
Answer: B
A van takes 6 hours to cover a distance of 180 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Answer Choice: (A) 50 Kmph (B) 60 Kmph (C) 70 Kmph (D) 80 Kmph (E) 20 Kmph
Answer: E
Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 20%, 40% and 10% savings. Assuming that they operate independently, what is the net saving achieved? Answer Choice: (A) 56.8% (B) 64% (C) 62.2% (D) 68% (E) 61%
Answer: A
You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 5 baseball cards. How many baseball cards do you have at the end? Answer Choice: (A) 11 (B) 12 (C) 13 (D) 14 (E) 15
Answer: A
A train passes a station platform in 36 seconds and a man standing on the platform in 10 seconds. If the speed of the train is 36 km/hr, what is the length of the platform? Answer Choice: (A) 338 (B) 60 (C) 287 (D) 267 (E) 191
Answer: B
In how many ways can the letters of the word INTELLIGENCE be arranged? Answer Choice: (A) 2580 (B) 2500 (C) 200067 (D) 9979200 (E) 3420456
Answer: D
A certain list of 300 test scores has an arithmetic mean of 70 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 302 test scores with a standard deviation less than d? Answer Choice: (A)  70 and 70 (B)  80 and 85 (C)  70 and 75 (D)  75 and 75 (E)  70 and 80
Answer: A
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours on a stormy day? Answer Choice: (A) 2880. (B) 4860. (C) 5780 (D) 5760 (E) 6380.
Answer: A
Mike had 200 watermelons. Sally came over and took some. After Sally left mike had 136 watermelons. How many watermelons did Sally take? Answer Choice: (A) 33 (B) 87 (C) 264 (D) 5 (E) 64
Answer: E
You have a pair of unbiased dices. You throw them together till you get a sum of 4 or 7.
What is the probability that you get a sum of 4 before the sum of 7? Answer Choice: (A) 1/6 (B) 5/7 (C) 2/8 (D) 3/7 (E) 2/5
Answer: E
How many 3 digit positive integers T exist that when divided by 7 leave a remainder of 5? Answer Choice: (A) 128 (B) 142 (C) 143 (D) 141 (E) 129
Answer: E
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year? Answer Choice: (A) 3:9 (B) 3:4 (C) 3:2 (D) 3:1 (E) 3:6
Answer: B
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 30 percent of the drive from the center, what percent of the round-trip has the technician completed? Answer Choice: (A) 60 (B) 65 (C) 55 (D) 50 (E) 55
Answer: B
A shopkeeper sold 15 articles at the cost price of 20 articles. Then find the profit% or lost% Answer Choice: (A) 30% (B) 31% (C) 20% (D) 33.33% (E) 40%
Answer: D
the stock price of xyz inc. has suffered a decline of 18% in the last 6 months. Financial Analysts believe that the shares will bounce back and gain 5% in the next 3 months. this gain will bring the share value to $700. What was the approximate price of the stock 6 months ago? Answer Choice: (A) 706 (B) 750 (C) 760 (D) 900 (E) 813
Answer: E
The number of permutations of the letters of the word 'MESMERISE' is? Answer Choice: (A) 9!/(2!)2 3! (B) 9!/(2!)7 3! (C) 9!/(2!)9 3! (D) 9!/(2!)2 8! (E) 9!/(2!)1 3!
Answer: A
The mean age of john,william,sam and katy is 25.the age of jhon is 22,age of sam is 30 and age of katy is 24.then tell me the age of william. Answer Choice: (A) 23 (B) 24 (C) 25 (D) 26 (E) 27
Answer: B
Q-1) Of the 64 parents who attended a meeting at a
school, 35 volunteered to supervise children during
the school picnic and 11 volunteered both to supervise
children during the picnic and to bring refreshments to
the picnic. If the number of parents who volunteered
to bring refreshments was 1.5 times the number of
parents who neither volunteered to supervise children
during the picnic nor volunteered to bring
refreshments, how many of the parents volunteered to
bring refreshments? Answer Choice: (A) 24 (B) 36 (C) 38 (D) 42 (E) 45
Answer: A
A customer pays 70 dollars for a coffee maker after a discount of 20 dollars
What is the original price of the coffe maker? Answer Choice: (A) 50 (B) 40 (C) 90 (D) 60 (E) 20
Answer: C
Fresh grapes contain 70% by weight while dried grapes contain 10% water by weight. What is the weight of dry grapes available from 100 kg of fresh grapes? Answer Choice: (A) 18.33 kg (B) 21.50 kg (C) 25.00 kg (D) 33.33 kg (E) 40.39 kg
Answer: D
The area of a triangle is with base 2m and height3m? Answer Choice: (A) 11 (B) 10 (C) 787 (D) 3 (E) 12
Answer: D
It costs $6 for the first 1/4 hour to use the copier at Kinkos. After the first ¼ hour it costs $8 per hour. If a certain customer uses the copier for 4 hours and 25 minutes, how much will it cost him? Answer Choice: (A) $23.45 (B) $65.33 (C) $40 (D) $38.27 (E) $39.33
Answer: E
A merchant purchased a jacket for $56 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale? Answer Choice: (A)  $0 (B)  $8 (C)  $4 (D)  $12 (E)  $15
Answer: B
An order was placed for a carpet whose length and width were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 2 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets? Answer Choice: (A) 7:5 (B) 12:11 (C) 17:15 (D) 22:17 (E) 27:25
Answer: E
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is: Answer Choice: (A) 2477 (B) 387 (C) 698 (D) 377 (E) 212
Answer: C
Sum of the squares of 3 no. is 149 and the sum of their products taken two at a time is 70. Find the sum? Answer Choice: (A) 17 (B) 19 (C) 21 (D) 13 (E) 18
Answer: A
A wheel that has 8 cogs is meshed with a larger wheel of 16 cogs. When the smaller wheel has made 24 revolutions, then the number of revolutions mad by the larger wheel is: Answer Choice: (A) 10 (B) 11 (C) 15 (D) 14 (E) 12
Answer: E
Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 40 and the turban. Find the price of the turban. Answer Choice: (A) 27 (B) 36 (C) 29 (D) 10 (E) 110
Answer: E
If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in the figure above?
A.
B.
C.
D.
E. Answer Choice: (A) (−8,8) (B) (4,−4) (C) (5,−5) (D) (2,−2) (E) (−4,4)
Answer: C
Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm? Answer Choice: (A) 189 cm2 (B) 150 cm2 (C) 127 cm2 (D) 177 cm2 (E) 187 cm2
Answer: B
If x and y are integers, what is the least positive number of 24x+16y? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8
Answer: E
A certain company reported that the revenue on sales increased 15 % from 2000 to 2003, and increased 30 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005? Answer Choice: (A) 50 % (B) 40 % (C) 35 % (D) 32 % (E) 13 %
Answer: E
What is the greatest prime factor of 1+2+3+。。。+70? Answer Choice: (A) 71 (B) 69 (C) 31 (D) 59 (E) 101
Answer: A
A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is the probability Y that you can still row the canoe? Answer Choice: (A) 9/25 (B) 10/25 (C) 6/10 (D) 2/3 (E) 21/25
Answer: E
How many three digit numbers can be formed using the digits {1, 3, 4, 5, 7,8, 9}(repetition of digits is not allowed)? Answer Choice: (A) 360 (B) 210 (C) 278 (D) 279 (E) 274
Answer: B
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 58 units per day, what is the value of n ? Answer Choice: (A) 30 (B) 18 (C) 10 (D) 9 (E) 4
Answer: E
A certain auto manufacturer sold 4% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.4 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007? Answer Choice: (A) 20,00,000 (B) 21,00,000 (C) 23,00,000 (D) 23,90,000 (E) 24,00,000
Answer: C