loafeihong/math_mmlu_format huggingface dataset:
The charge for a single room at Hotel P is 55 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G? Answer Choice: (A) 50% (B) 60% (C) 75% (D) 80% (E) 100%
Answer: E
There are 16 bees in the hive , then 10 more fly. How many bees are there in all? Answer Choice: (A) 7 (B) 33 (C) 12 (D) 17 (E) 26
Answer: E
(723+1992)2-(723-1992)2 / (723×1992) Answer Choice: (A) 8 (B) 6 (C) 5 (D) 7 (E) 4
Answer: D
Walking at the rate of 3 kmph a man cover certain distance in 3hr 20 min. Running at a speed of 9 kmph the man will cover the same distance in. Answer Choice: (A) 45 min (B) 50 min (C) 40 min (D) 48 min (E) 54 min
Answer: E
What is the average (arithmetic mean) of all the multiples of ten from 10 to 110 inclusive? Answer Choice: (A) 60 (B) 95 (C) 100 (D) 105 (E) 110
Answer: A
A certain fruit stand sold apples for $0.80 each and bananas for $0.70 each. If a customer purchased both apples and bananas from the stand for a total of $6.50, what total number of apples and bananas did the customer purchase? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: B
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 9 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price Answer Choice: (A) 70 (B) 68 (C) 66 (D) 64 (E) 62
Answer: E
If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 6 years would be Answer Choice: (A) (1.5)^4 (B) 4(1.5) (C) (1.05)^6 (D) 1 + (0.05)^4 (E) 1 + 4(0.05)
Answer: C
A bag contains equal number of Rs.5, Rs.2 and Re.1 coins. If the total amount in the bag is Rs.1152, find the number of coins of each kind? Answer Choice: (A) 432 (B) 288 (C) 144 (D) 72 (E) 152
Answer: C
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 54/r years. If Pat's parents invested $6,000 in a long-term bond that pays 6 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college? Answer Choice: (A)  $20000 (B)  $15000 (C)  $12000 (D)  $10000 (E)  $9000
Answer: C
In a bag of small balls 1/4 are green, 1/8 are blue, 1/12 are yellow and the remaining 26 white. How many balls are blue? Answer Choice: (A) 2 (B) 4 (C) 6 (D) 8 (E) 10
Answer: C
Set M contains numbers that satisfy the condition that, if integer x is in the set then x+3 will also be in the set M. If -4 is one of the value in the set, which of the following numbers must also be present in the set M.
I. 5
II. 2
III. -7 Answer Choice: (A) I only (B) II only (C) I and II only (D) II and III only (E) I, II and III
Answer: C
An inspector rejects 0.05% of the meters as defective. How many will he examine to reject 4? Answer Choice: (A) 4000 (B) 8000 (C) 5000 (D) 4500 (E) 6000
Answer: B
What least whole no. should be added to 532869 to make it divisible by 9? Answer Choice: (A) 6 (B) 7 (C) 9 (D) 10 (E) 12
Answer: C
If D is the sum of consecutive even integers w, x, y, and z, where w < x < y < z, all of the following must be true EXCEPT Answer Choice: (A) z - w = 3(y - x) (B) D is divisible by 8 (C) The average of w, x, y, and z is odd (D) D is divisible by 4 (E) w + x + 8 = y + z
Answer: B
For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6 , -8? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
Line W has the equation 3x + y = 7. Which of the following lines is perpendicular to Line W? Answer Choice: (A)  y = 3x + 4 (B)  y = –3x – 6 (C)  y = (1/3)x – 1 (D)  y = (–1/3)x + 2 (E)  y = (–7/3)x – 5
Answer: C
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was. Answer Choice: (A) 15000 (B) 2655 (C) 16888 (D) 6677 (E) 1871
Answer: A
A can do a work in 30 days, B can do it in 20 days. They together under took to do a piece of work for Rs.1000, what is the share of B? Answer Choice: (A) Rs.500 (B) Rs.400 (C) Rs.800 (D) Rs.600 (E) Rs.200
Answer: D
What least number should be added to 1056, so that the sum is completely divisible by 23 Answer Choice: (A) 4 (B) 1 (C) 2 (D) 3 (E) 5
Answer: C
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 6% sugar, what should be the ratio of Cereal A to Cereal B, by weight? Answer Choice: (A)  2:9 (B)  2:7 (C)  1:6 (D)  1:1 (E)  1:3
Answer: D
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 56 as quotient. What is the correct quotient ? Answer Choice: (A) 0 (B) 12 (C) 32 (D) 20 (E) 25
Answer: C
How many odd numbers between 10 and 1600 are the squares of integers? Answer Choice: (A) 9 (B) 12 (C) 15 (D) 18 (E) 21
Answer: D
How many minutes is it before 12 noon if 16 minutes ago it was three times as many minutes after 9 am? Answer Choice: (A) 41 minutes (B) 49 minutes (C) 40 minutes (D) 42 minutes (E) 44 minutes
Answer: A
1394 x 1394 = ? Answer Choice: (A) A)1951609 (B) B)1951601 (C) C)1951602 (D) D)1943236 (E) E)1951604
Answer: D
A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family? Answer Choice: (A) 30 (B) 31 5/7 (C) 32 (D) 33 (E) 35
Answer: B
Which of the following is true about 0<|x|-x<5? Answer Choice: (A) -1<x<0 (B) 0<x<1 (C) 1<x<2 (D) 2<x<3 (E) 3<x<4
Answer: A
If logx y = 10 and log2 x = 1000, what is the value of y? Answer Choice: (A) 210002 (B) 277889 (C) 210000 (D) 27788 (E) 788291
Answer: C
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current? Answer Choice: (A) 1.5 (B) 1.8 (C) 1.6 (D) 1.3 (E) 1.1
Answer: B
Factory X's bulbs work for over 5000 hours in 37% of cases, whereas factory Y's bulbs work for over 5000 hours in 75% of cases. It is known that factory X supplies 40% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours? Answer Choice: (A) 56.4% (B) 58% (C) 57.4% (D) 55% (E) 59.8%
Answer: E
A shop owner sells 30mtr of cloth and gains SP of 10 metres. Find the gain %? Answer Choice: (A) 40% (B) 45% (C) 50% (D) 65% (E) 70%
Answer: C
What least number must be added to 1145, so that the sum is completely divisible by 23 ? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 8
Answer: D
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is Answer Choice: (A) 145 (B) 185 (C) 253 (D) 370 (E) None
Answer: C
A certain manufacturer of cake, muffin, and bread mixes has 70 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix? Answer Choice: (A) a. 1/10 (B) b. 3/10 (C) c. 1/2 (D) d. 3/7 (E) e. 9/10
Answer: D
10, 14, 26, 42, 70, ? Answer Choice: (A) 112 (B) 117 (C) 132 (D) 143 (E) 114
Answer: E
Find the least number which when divided by 33 and 8 leaves a remainder of 2 in each case. Answer Choice: (A) 266 (B) 268 (C) 270 (D) 272 (E) 274
Answer: A
A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, 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) 24 (D) 26 (E) 30
Answer: D
A set of numbers has the property that for any number x in the set, x+2 is also in the set. If -2 is in the set, which of the following must also be in the set
1. -4
2. 4
3. 0 Answer Choice: (A) 1 only (B) 2 only (C) 1 and 2 only (D) 1 and 3 only (E) 1,2 and 3
Answer: D
If A, X, Y, and Z are unique nonzero digits in the equation:
XY
*YX
____
AYZ
And Y > X, the 2-digit number XY = ? Answer Choice: (A) 13 (B) 21 (C) 23 (D) 24 (E) 25
Answer: C
A man sells two articles for Rs.3600 each and he gains 48% on the first and loses 48% on the next. Find his total gain or loss? Answer Choice: (A) 9% loss (B) 400 (C) 4000 (D) 324 (E) 23.04%loss
Answer: E
X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work? Answer Choice: (A) 2 (B) 3 (C) 6 (D) 7 (E) 8
Answer: C
The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers? Answer Choice: (A) 180 (B) 787 (C) 178 (D) 179 (E) 172
Answer: A
When a number is divided by 6 &then multiply by 12 the answer is 13 what is the no.? Answer Choice: (A) 6.5 (B) 5 (C) 5.5 (D) 5.8 (E) 6
Answer: A
A grocer has a sale of Rs. 5420, Rs. 5660, Rs. 6200, Rs. 6350 and Rs. 6500 for 5 consecutive months. Find the sale he should have in the sixth month, so that he gets an average sale of Rs. 6500? Answer Choice: (A) Rs. 5870 (B) Rs. 5991 (C) Rs. 8870 (D) Rs. 6850 (E) None of these
Answer: C
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good. Answer Choice: (A) 20/68 (B) 20/63 (C) 20/69 (D) 20/64 (E) 20/62
Answer: B
A,B,C can do a work in 15,20,45 days respectively. They get Rs 500 for their work. What is the share of A? Answer Choice: (A) Rs.240 (B) Rs.340 (C) Rs.260 (D) Rs.280 (E) Rs.440
Answer: A
How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 70 m long and 16 1/2 m board? Answer Choice: (A) 99 (B) 18 (C) 16 (D) 10 (E) 231
Answer: E
A train 300 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going? Answer Choice: (A) 6 sec. (B) 7 sec. (C) 9 sec. (D) 18 sec. (E) None
Answer: D
3,7,12,18,25..............10th terms Answer Choice: (A) 43 (B) 53 (C) 63 (D) 65 (E) 74
Answer: E
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area? Answer Choice: (A) 120 (B) 139 (C) 140 (D) 122 (E) 178
Answer: A
The grade point average of one third of the classroom is 54; the grade point average of the rest is 45. What is the grade point average of the whole class? Answer Choice: (A) 52 (B) 54 (C) 48 (D) 58 (E) 60
Answer: C
Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he: Answer Choice: (A) broke even (B) lost 10 cents (C) lost 4 cents (D) gained 10 cents (E) gained 4 cents
Answer: A
The speed of a car is 98 km in the first hour and 60 km in the second hour. What is the average speed of the car? Answer Choice: (A) 76 kmph (B) 75 kmph (C) 87 kmph (D) 79 kmph (E) 86 kmph
Answer: D
A test has a mean of 220 and a standard deviation of 10, find the corresponding z score for: a) a test score of 232? Answer Choice: (A) A)1.2 (B) B)2.4 (C) C)5 (D) D)5.6 (E) E)7
Answer: A
If x and y are integers and x + y = 7, which of the following must be true? Answer Choice: (A) x and y are consecutive integers. (B) Both x and y are less than 5. (C) If x > 0, then y < 0. (D) Both x and y are even. (E) If x < 0, then y > 0.
Answer: E
If x>0, y>0, and |x| > |y|, which of the following must be true? Answer Choice: (A) x > y (B) y^2 > x^2 (C) x^3 > y^2 (D) –x < y (E) x < –y
Answer: A
The visitors of a modern art museum who watched a certain Picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. According to the results of the survey, all 140 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. If 3/4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire? Answer Choice: (A) 90 (B) 120 (C) 160 (D) 360 (E) 560
Answer: E
An amount of Rs. 100000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 1/2 %, then the amount invested at 11% was? Answer Choice: (A) 23777 (B) 25000 (C) 29977 (D) 26777 (E) 19871
Answer: B
There are 100 fish in a pond. A fisherman put 20 more fish in the pond. How many fish are in the pond Answer Choice: (A) 0 (B) 19 (C) 178 (D) 140 (E) 120
Answer: E
A and B are two stations 390 km apart. A train starts from A at 10 a.m. and travels towards B at 65 kmph. Another train starts from B at 11 a.m. and travels towards A at 35 kmph. At what time do they meet? Answer Choice: (A) 2.15 p.m. (B) 1.15 p.m. (C) 4.15 p.m. (D) 3.15 p.m. (E) 12.15 p.m.
Answer: A
Let a be a positive integer. If n is divisible by 2^a and n is also divisible by 3^(2a), then it is possible that n is NOT divisible by Answer Choice: (A) 6 (B) 3 × 2^a (C) 2 × 3^(2a) (D) 6^a (E) 6^(2a)
Answer: E
A train running at the speed of 60 km/hr crosses a pole in 27 seconds. What is the length of the train? Answer Choice: (A) 186 m (B) 176 m (C) 450 m (D) 150 m (E) 765 m
Answer: C
An alloy weighing 48 ounces is 25% gold. How many ounces of pure gold must be added to create an alloy that is 40% gold? Answer Choice: (A) 15 (B) 20 (C) 12 (D) 14 (E) 7
Answer: C
A tank has 5 inlet pipes. Three pipes are narrow and two are wide. Each of the three narrow pipes works at 1/2 the rate of each of the wide pipes. All the pipes working together will take what fraction R of time taken by the two wide pipes working together to fill the tank? Answer Choice: (A)  1/2 (B)  2/3 (C)  3/4 (D)  3/7 (E)  4/7
Answer: E
Can you find the missing number in the sequence given below?
10 16 22 11 17 ? 12 18 24 13 19 25 Answer Choice: (A) 25 (B) 23 (C) 20 (D) 18 (E) 19
Answer: B
A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what will be A's share of the earnings? Answer Choice: (A) $1100 (B) $520 (C) $1040 (D) $1170 (E) $630
Answer: C
For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 4 to n, inclusive. If p is the smallest prime factor of h(100) +4, then p is? Answer Choice: (A) 4 (B) between 10 and 20 (C) between 20 and 30 (D) between 30 and 40 (E) 2
Answer: A
Two numbers differ by 5. If their product is 336, then sum of two number is Answer Choice: (A) 33 (B) 34 (C) 36 (D) 37 (E) 38
Answer: D
Which of the following numbers is between 1⁄3 and 1⁄2? Answer Choice: (A) .45 (B) .32 (C) .29 (D) .22 (E) .20
Answer: A
A customer went to a shop and paid a total of $30, out of which 90 cents was for sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) $12.70 (B) $13.20 (C) $14.10 (D) $15.60 (E) $16.80
Answer: C
Mr. Evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. If Mr. Evans has 4 children and 6 grandchildren, then approximately what percentage of Mr. Evans estate will each grandchild receive? Answer Choice: (A) 20% (B) 17% (C) 4.0% (D) 3.3% (E) 2.8%
Answer: D
Two cars P and Q start at the same time from A and B which are 120 km apart. If the two cars travel in opposite directions, they meet after one hour and if they travel in same direction (from A towards B), then P meets Q after 6 hours. What is the speed of car P? Answer Choice: (A) 87 km/hr (B) 70 km/hr (C) 76 km/hr (D) 97 km/hr (E) 57 km/hr
Answer: B
How many prime numbers are between 28/3 and 86/6? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
When the positive integer k is divided by the positive integer n , the remainder is 11. If k/n = 81.1 , what is the value of n? Answer Choice: (A) 9 (B) 20 (C) 55 (D) 70 (E) 81
Answer: E
A test of 10 questions is chosen from 10 hard questions and 20 easy questions. The salad must have at least 4 hard questions at least 3 easy questions. How many ways can this test be created? Answer Choice: (A) 13500611 (B) 13200688 (C) 13200858 (D) 895 (E) 7289
Answer: C
On day one, a store sold 90 books. On each of the next d days, the company sold 62 books. If the average daily sales of books over this time period (including day one) is 66 books, what is the value of d? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: B
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 990, what is the least possible value of n? Answer Choice: (A) 10 (B) 11 (C) 12 (D) 13 (E) 14
Answer: B
A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join? Answer Choice: (A) 2 months (B) 3 months (C) 5 months (D) 4 months (E) 1 months
Answer: D
An article is bought for Rs.600 and sold for Rs.500, find the loss percent? Answer Choice: (A) 16 2/3% (B) 15 2/3% (C) 18 2/3% (D) 11 2/3% (E) 22 2/3%
Answer: A
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price? Answer Choice: (A) 1000 (B) 2777 (C) 289 (D) 2779 (E) 27871
Answer: A
How much time will take for an amount of Rs. 200 to yield Rs. 81 as interest at 4.5% per annum of simple interest? Answer Choice: (A) 7 (B) 4 (C) 5 (D) 3 (E) 9
Answer: E
P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work? Answer Choice: (A) 9(3/5) days (B) 9(1/5) days (C) 9(2/5) days (D) 10 days (E) 15 days
Answer: A
A contractor undertook to do a piece of work in 6 days. He employed certain number of laboures but 7 of them were absent from the very first day and the rest could finish the work in only 10 days. Find the number of men originally employed ? Answer Choice: (A) 17.2 (B) 16.5 (C) 17.5 (D) 17.9 (E) 17.3
Answer: C
In N is a positive integer less than 200, and 14N/60 is an integer, then N has how many different positive prime factors Q? Answer Choice: (A) 2 (B) 3 (C) 5 (D) 6 (E) 8
Answer: B
Today David, who is 40 years old, and his daughter, who is 12 years old, celebrate their birthdays. How many years will pass before David’s age is twice his daughter’s age? Answer Choice: (A) 22 (B) 20 (C) 16 (D) 18 (E) 14
Answer: C
9000 + 16 2/3 % of ? = 10500 Answer Choice: (A) 1500 (B) 1750 (C) 9000 (D) 7500 (E) None of these
Answer: C
In a box there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green? Answer Choice: (A) 7⁄19 (B) 2⁄3 (C) 3⁄4 (D) 9⁄21 (E) None of these
Answer: E
A tank is filled by 3 pipes with uniform flow. The first two pipes operating simultaneously fill the tan in the same time during which the tank is filled by the third pipe alone. The 2nd pipe fills the tank 5 hours faster than first pipe and 4 hours slower than third pipe. The time required by first pipe is Answer Choice: (A) 13 hours (B) 45 hours (C) 15 hours (D) 12 hours (E) 11 hours
Answer: C
A and B can finish a work in 16 days while A alone can do the same work in 32 days. In how many days B alone will complete the work? Answer Choice: (A) 76 days (B) 48 days (C) 98 days (D) 32 days (E) 22 days
Answer: D
Convert 2/5 to a decimal Answer Choice: (A) 0.1 (B) 0.2 (C) 0.3 (D) 0.4 (E) 0.5
Answer: D
Last year 28 members of a certain club traveled to England, 28 members traveled to France, and 30 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year? Answer Choice: (A) 52 (B) 69 (C) 71 (D) 73 (E) 79
Answer: B
The batting average of a particular batsman is 62 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score. Answer Choice: (A) 179 (B) 208 (C) 210 (D) 225 (E) 229
Answer: D
A person bought 118 glass bowls at a rate of Rs. 12 per bowl. He sold 102 of them at Rs. 15 and the remaining broke. What is the percentage gain for A? Answer Choice: (A) 40 (B) 300/11 (C) 243/7 (D) 475/59 (E) 279/8
Answer: D
There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability T that all three secretary are assigned at least one report? Answer Choice: (A) 8/9 (B) 64/81 (C) 4/9 (D) 16/81 (E) 5/9
Answer: C
A bike covers a certain distance at the speed of 64km/h in 8 hrs. If the bike was to cover the same distance in approximately 6 hrs, at what approximate speed should the bike travel? Answer Choice: (A) 80.56 km/h (B) 85.34 km/h (C) 95.05 km/h (D) 98 km/h (E) 99.56 km/h
Answer: B
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train? Answer Choice: (A) 34 (B) 56 (C) 72 (D) 35 (E) 32
Answer: C
Peter invested a certain sum of money in a simple interest bond whose value grew to $400 at the end of 4 years and to $ 500 at the end of another 2 years. What was the rate of interest in which he invested his sum? Answer Choice: (A) 12% (B) 12.5% (C) 67% (D) 25% (E) 33%
Answer: D
A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 8 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) 196 (E) 315
Answer: D
Find the sum of prime numbers lying between 58 and 76? Answer Choice: (A) 198 (B) 201 (C) 252 (D) 272 (E) 331
Answer: E
If a positive integer n is divided by 5 , the remainder is 3. which of the number below yields a remainder of 0 when it is divided by 5 Answer Choice: (A) n+3 (B) n+2 (C) n-2 (D) n-1 (E) n+1
Answer: B
On a game show, a contestant spins two different wheels; each wheel is numbered 1 to 15. What is the probability that the contestant will spin all tens? Answer Choice: (A) 25 (B) 64 (C) 8/7 (D) 4/6 (E) 1/225
Answer: E
The second of two numbers is two less than three times the first. Find the numbers if there sum is
54. Answer Choice: (A) 7-19 (B) 8-20 (C) 10-16 (D) 14-40 (E) 20-6
Answer: D
The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $10.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat? Answer Choice: (A) $4.50 (B) $10.2 (C) $5.30 (D) $5.50 (E) $5.60
Answer: B
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 40 percent on clothing, 30 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes? Answer Choice: (A)  2.8% (B)  3.6% (C)  4% (D)  5.2% (E)  6.0%
Answer: C