loafeihong/math_mmlu_format huggingface dataset:
Rovert traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different. Answer Choice: (A) z=3x (B) x=3z (C) y=2x (D) x=2y (E) y=3x
Answer: D
(1/2) of a number is 3 more than the (1/6) of the same number? Answer Choice: (A) 6 (B) 7 (C) 8 (D) 9 (E) 5
Answer: D
One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 20 cm2. Find the lengths of all sides. Answer Choice: (A) 10 and 3 (B) 7 and 10 (C) 11 and 8 (D) 3 and 10 (E) 10 and 10
Answer: C
What will be the remainder when 17^200 is divided by 18 ? Answer Choice: (A) 3 (B) 8 (C) 5 (D) 1 (E) 7
Answer: D
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 108 grams of water? Answer Choice: (A)  16 (B)  96 (C)  112 (D)  128 (E)  142
Answer: B
In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase? Answer Choice: (A) 23 (B) 277 (C) 18 (D) 178 (E) 181
Answer: B
If 1.5 cm of a pencil is purple, 0.5 cm of the remaining is black and the remaining 2 cm is blue, what is the total length of the pencil? Answer Choice: (A) 5 cm (B) 3 cm (C) 1 cm (D) 4 cm (E) 2 cm
Answer: D
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes? Answer Choice: (A) 28 (B) 25 (C) 27 (D) 23 (E) 21
Answer: E
A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself? Answer Choice: (A) 24 (B) 55 (C) 77 (D) 99 (E) 01
Answer: A
The sume of the ages of 5 children born at the intervals of 3 years each is 50 years.What is the age of the youngest child ? Answer Choice: (A) 4 years (B) 8 years (C) 10 years (D) None of these (E) 11 years
Answer: A
A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 400 feet. What is its area, in square feet? Answer Choice: (A) 76,800 (B) 19,600 (C) 20,000 (D) 20,400 (E) 20,800
Answer: A
A man cycles at a rate of 4 kmph. He cycles for 45 minutes and then takes a 15 minute break. Determine the total time taken to cover 12 kms by him. Answer Choice: (A) 4 hours 35 minutes (B) 4 hours (C) 3 hours (D) 3 hours 45 minutes (E) 4 hours 45 minutes
Answer: D
An article is sold at certain price. By selling it at 2/3 of its price one losses 10%, find the gain at original price? Answer Choice: (A) 35 (B) 25 (C) 10 (D) 20 (E) 30
Answer: A
Eight machines, each working at the same constant rate, together can complete a certain job in 20 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 16 days? Answer Choice: (A) 4 (B) 6 (C) 8 (D) 10 (E) 2
Answer: E
A local bank that has 11 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 11 codes? Answer Choice: (A) 3 (B) 11 ( 2 integers 4 codes) (C) 5 (D) 6 (E) 7
Answer: B
The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $400, by what percent is the price to be reduced? Answer Choice: (A) 10% (B) 15% (C) 20% (D) 25% (E) 80%
Answer: E
On the first of the year, James invested x dollars at Proudstar bank in an account that yields 4% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year? Answer Choice: (A) 22.04% (B) 26.12% (C) 28% (D) 16.25% (E) 30%
Answer: D
If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is? Answer Choice: (A) 20% (B) 80% (C) 90% (D) 22% (E) 24%
Answer: A
The marks obtained by Vijay and Amith are in the ratio 8:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of? Answer Choice: (A) 12:5 (B) 12:1 (C) 6:5 (D) 12:2 (E) 6:3
Answer: A
Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 60 percent carbonated water, what percent of the volume of the mixture is P? Answer Choice: (A) 20% (B) 30% (C) 40% (D) 50% (E) 60%
Answer: A
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty? Answer Choice: (A) 2 PM (B) 1 PM (C) 7 PM (D) 5 PM (E) 8 PM
Answer: D
The average age of twenty four boys in a class and the teacher is 15. If the teacher age is excluded, the average reduces to 14. What is the techer's age? Answer Choice: (A) 41 (B) 36 (C) 32 (D) 39 (E) 38
Answer: D
Three candidates contested in an election and received 4136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get? Answer Choice: (A) 45% (B) 49% (C) 50% (D) 51% (E) 62%
Answer: C
A student has 7 trousers and 11 shirts. In how many different ways can the student select a trouser and a shirt? Answer Choice: (A) 68 (B) 77 (C) 86 (D) 95 (E) 104
Answer: B
If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z). Answer Choice: (A) 1012 (B) 1011 (C) 1212 (D) 1122 (E) 1021
Answer: D
Ross has 320 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green. Answer Choice: (A) 48 ; 80. (B) 49 ; 80. (C) 50 ; 80. (D) 51 ; 80. (E) 52 ; 80.
Answer: A
If 1^3 + 2^3 + 3^3 +......+ 10^3 = 516 then the value of 2^3 + 4^3 + 6^3 + ..... + 20^3 is Answer Choice: (A) 1032 (B) 1040 (C) 1048 (D) 1050 (E) 1052
Answer: A
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of;
6 – 9 + 8 × 3 ÷ 20 = Answer Choice: (A) 6 (B) 10 (C) 12 (D) -2 (E) 8
Answer: B
Two pillars are standing side-by-side. One pillar, which is 6 feets tall, casts a shadow that is 12 feets long. The other pillar is 4 feets tall. Compute, in feets, the length of the shadow that
the shorter pillar casts. Answer Choice: (A) 8 (B) 10 (C) 12 (D) 16 (E) 20
Answer: A
The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number? Answer Choice: (A) 43 (B) 30 (C) 35 (D) 45 (E) 50
Answer: A
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is? Answer Choice: (A) 3/8 (B) 3/4 (C) 3/5 (D) 3/9 (E) 3/1
Answer: B
A family made a down payment of $20 and borrowed the balance on a set of encyclopedias that cost $500. The balance with interest was paid in 24 monthly payments of $25 each. The amount of interest paid was what percent of the amount borrowed? Answer Choice: (A)  16% (B)  25% (C)  24% (D)  26% (E)  20%
Answer: B
20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability K that one more throw to this series will increase the mean score? Answer Choice: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/6
Answer: C
Define e* by the equation e* = π-e. Then ((−π)*)* = Answer Choice: (A)  −2π (B)  -1 (C)  −π (D)  2π (E)  4π
Answer: C
A group of 13 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase? Answer Choice: (A)  E/(12 - n) (B)  (12 - n)/E (C)  E/[12(12-n)] (D)  (12-n)E/(12n) (E)  nE / [13(13-n)]
Answer: E
Which of the following fractions can be written as the difference of reciprocals of two consecutive integers Answer Choice: (A) 1/24 (B) 7/30 (C) 1/42 (D) 13/56 (E) 1/73
Answer: C
A gardener grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 197 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these years. How many cabbages did she produce this year? Answer Choice: (A) 9801 (B) 10,000 (C) 14,400 (D) 12,696 (E) can not be determined
Answer: A
A man has Rs. 440 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? Answer Choice: (A) 45 (B) 82.5 (C) 75 (D) 90 (E) 105
Answer: B
Seven people went to a restaurant for dinner. Six of them spent $9 each on their meals and the seventh person spent $12 more than the average expenditure of all seven people. What was the total amount of money that the seven people spent? Answer Choice: (A) $71 (B) $73 (C) $75 (D) $77 (E) $79
Answer: D
A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ? Answer Choice: (A) 1000 (B) 1074 (C) 1075 (D) 1080 (E) 1090
Answer: B
If x = 1- 5t and y = 2t - 1, then for what value of t does x = y? Answer Choice: (A)  5/2 (B)  3/2 (C)  2/3 (D)  2/7 (E)  0
Answer: D
In the biology lab of "Jefferson" High School there are 4.32*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish? Answer Choice: (A) 100 (B) 200 (C) 400 (D) 1000 (E) 5000
Answer: C
A train 300 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? Answer Choice: (A) 298 m (B) 268 m (C) 500 m (D) 267 m (E) 1000 m
Answer: E
A shop produces sarongs. The daily average production is given by 5n + 20, where n is the number of workers aside from the owner. In the first k days, 500 units are produced, and then 5 workers are added to the team. After another k days, the cumulative total is 1100. How many workers were part of the latter production run? Answer Choice: (A) 26 (B) B)10 (C) C)11 (D) D)15 (E) E)23.5
Answer: A
A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Answer: B
If BURNER is coded as CASOIS then how will ALIMENT be coded? Answer Choice: (A) BKJLFMU (B) EKOLIMS (C) EMONIOU (D) BRJSFTU (E) EROSITU
Answer: B
The total of a company's assets in 1994 was 50% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of the company's assets in 1992 was N dollars, what were the company's assets in 1994? Answer Choice: (A) 5.5N (B) 7.5N (C) 9.5N (D) 11.5N (E) 13.5N
Answer: B
If the set S is composed of the following numbers {99, 100, 100, 105, 106, 112, 127}, which of the following is largest? Answer Choice: (A) The average (arithmetic mean) of set S (B) The median of set S (C) The mode of set S (D) The range of set S (E) The standard deviation of set S
Answer: A
What is the dividend. divisor 13, the quotient is 17 and the remainder is 1 Answer Choice: (A) 222 (B) 224 (C) 226 (D) 228 (E) 230
Answer: A
if the price of a book is first decreased by 15% and then increased by 10%, then the net change in the price will be : Answer Choice: (A) 10 (B) 388 (C) 6.5 (D) 29 (E) 22
Answer: C
A truck covers a distance of 360 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ? Answer Choice: (A) 6 hours (B) 5 hours (C) 7 hours (D) 8 hours (E) None
Answer: D
A car crosses a 600m long bridge in 5 mins. What is the speed of car in km per hr? Answer Choice: (A) 7 km/hr (B) 7.2 km/hr (C) 7.5 km/hr (D) 8 km/hr (E) 8.5 km/hr
Answer: B
A can contains a mixture of liquids A and B is the ratio 7:5. When 12 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially? Answer Choice: (A) 25 (B) 27 (C) 29 (D) 28 (E) 31
Answer: D
10% of the inhabitants of village having died of cholera.,a panic set in , during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants. Answer Choice: (A) 600 (B) 6500 (C) 6000 (D) 6500 (E) 7000
Answer: C
John found that the average of 15 numbers is 40. If 12 is added to each number then the mean of number is? Answer Choice: (A) 52 (B) 45 (C) 65 (D) 78 (E) 64
Answer: A
Two numbers are respectively 20% and 60% more than a third number. The percentage that is first of the second is? Answer Choice: (A) 34% (B) 68% (C) 51% (D) 75% (E) 83%
Answer: D
If a train runs at 40 kmph ,it reach its destination late by 11 minutes but if it runs at 50kmph it is late by 5 minutes only . the correct time for a train to complete its journey is?
let the correct time to complete the journey be x min
distance covered in(x+11)min. at 40 kmph
distance covered in(x+5)min. at 50 kmph
(x+11)/60*40=(x+5)/60*50
x=19min Answer Choice: (A) 19 min (B) 19hrs (C) 52min (D) 126min (E) 52min
Answer: A
The traffic lights at 3 different roads change after every 14 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously. Answer Choice: (A) 9:22:12 (B) 9:42:15 (C) 10:15:24 (D) 9:40:12 (E) 10:01:20
Answer: D
How many positive 5-digit integers have the odd sum Q of their digits? Answer Choice: (A) 9*10^2 (B) 9*10^3 (C) 10^4 (D) 45*10^3 (E) 9*10^4
Answer: D
How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch). Answer Choice: (A) 48.74 inches (B) 58.74 inches (C) 78.74 inches (D) 28.74 inches (E) 88.74 inches
Answer: C
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 4? Answer Choice: (A) 123,750 (B) 164,850 (C) 164,749 (D) 149,700 (E) 156,720
Answer: A
A bag contains 3 white balls, 3 black balls & 2 red balls. One by one three balls are drawn out without replacement. What is the probability that the third ball is red? Answer Choice: (A) 0.25 (B) 0.15 (C) 0.35 (D) 0.45 (E) 0.4
Answer: A
If x is an integer such that 0 < x < 12, 1 < x < 15, 10 > x > 5, 11 > x > 8, and x + 2 < 12, then x is Answer Choice: (A) 3 (B) 5 (C) 7 (D) 9 (E) 11
Answer: D
At an elementary school, 60% of the faculty members are women and 60% of the faculty members are married. If 3/4 of the men are single, what fraction of the men are married? Answer Choice: (A) 3/4 (B) 2/5 (C) 4/5 (D) 2/3 (E) 1/4
Answer: E
If the Average of 10 consecutive integers is 24.5 then the 10th integer is :- Answer Choice: (A) 15 (B) 20 (C) 23 (D) 29 (E) 25
Answer: D
In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 37. In the company, what is the maximum number of non-managers in a department that has 9 managers? Answer Choice: (A) 44 (B) 45 (C) 46 (D) 47 (E) 48
Answer: D
A certain list of 300 test scores has an arithmetic mean of 74 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)  75 and 80 (B)  80 and 85 (C)  74 and 74 (D)  75 and 75 (E)  70 and 80
Answer: C
A cube has a volume of 125 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is? Answer Choice: (A) 24 (B) 48 (C) 64 (D) 80 (E) 1000
Answer: E
If m is a positive integer greater than 1, what is the sum of the multiples of m from m to m^2, inclusive? Answer Choice: (A)  m(m + 1)(m-1) (B)  m^2(m + 1)/2 (C)  m^2(m-1) (D)  (x^3 + 2x)/2 (E)  x(x-1)^2
Answer: B
A can do a piece of work in 15 days. A does the work for 5 days only and leaves the job. B does the remaining work in 6 days.In how many days B alone can do the work? Answer Choice: (A) 5days (B) 7 days (C) 12 days (D) 9 days (E) 10 days
Answer: D
If f(b)=b^2 and b is a positive integer, which of the following CANNOT be the value of f(f(b))? Answer Choice: (A) 1 (B) 81 (C) 200 (D) 256 (E) 625
Answer: C
I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways? Answer Choice: (A) 12 mins (B) 10 mins (C) 19 mins (D) 15 mins (E) 20 mins
Answer: C
An investor receives a total combined return of 10% on his two different investments. On his $10,000 investment he receives a return of 6%. What is the return on his $20,000 investment? Answer Choice: (A) 7.25% (B) 12% (C) 8% (D) 8.5% (E) 9%
Answer: B
Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 1/2 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity? Answer Choice: (A) 2/3 (B) 3/4 (C) 4/5 (D) 5/6 (E) 7/8
Answer: B
Thomas's age and Matt's age are in the ratio 2:3. Two years ago the ratio of their ages was 1:2. Find the ratio of their ages four years hence? Answer Choice: (A) 1:2 (B) 2:3 (C) 3:4 (D) 4:5 (E) 5:6
Answer: D
The function f is defined for all positive integers u by the following rule. f(u) is the number of positive integers each of which is less than u and has no positive factor in common with u other than 1. If s is any prime, number then f(s)= Answer Choice: (A) 2 (B) s-2 (C) (s+1)/2 (D) (s-1)/2 (E) S-1
Answer: E
The charge for a single room at Hotel P is 30 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) 28% (B) 20% (C) 40% (D) 50% (E) 150%
Answer: A
Two stations P and Q are 290 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet? Answer Choice: (A) 10 am (B) 12 am (C) 10.30 am (D) 12.30 pm (E) 2 pm
Answer: E
In an exam, A scored 75 percent, B scored 25 percent and C scored 32 percent. The maximum score awarded in the exam is 500. Find the average mark scored by all the three candidates? Answer Choice: (A) 190 (B) 200 (C) 210 (D) 220 (E) 230
Answer: D
It is well known that a triangle’s area is √(p(p-a)(p-b)(p-c)),
when p=(a+b+c)/2, such that a, b, c are the lengths of sides of the triangle. If the triangle has 300, 300, and 300 as the side’s lengths, what is the triangle’s area? Answer Choice: (A) 34,200 (B) 36,200 (C) 38,200 (D) 42,200 (E) 38,971
Answer: E
In a kilometer race, A beats B by 40 meters or 10 seconds. What time does A take to complete the race? Answer Choice: (A) 290 sec (B) 190 sec (C) 199 sec (D) 192 sec (E) 240 sec
Answer: E
A candidate appearing for an examination has to secure 52% marks to pass paper I. But he secured only 45 marks and failed by 35 marks. What is the maximum mark for paper I? Answer Choice: (A) 110 (B) 154 (C) 130 (D) 140 (E) 150
Answer: B
A certain kind of necklace is made from 9 green, 6 white, and 3 orange beads. What is the maximum number of these necklaces that can be made from 45 beads of each color ? Answer Choice: (A) 7 (B) 8 (C) 5 (D) 6 (E) 2
Answer: C
A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 10 hours, 50 percent worked 40 hours, and the rest worked 50 hours? Answer Choice: (A)  $180,000 (B)  $185,000 (C)  $170,000 (D)  $200,000 (E)  $205,000
Answer: C
COMPLETE THE SERIES..
1, 3, 7, 11, 13,... ? Answer Choice: (A) 16 (B) 17 (C) 18 (D) 19 (E) 20
Answer: D
Pipes A and B can fill a tank in 2 and 3 hours. Pipe C can empty it in 15 hours. If all pipes are opened together, then the tank will be filled in? Answer Choice: (A) 60/17 hr (B) 13/12 hr (C) 42/11 hr (D) 6 hr (E) 30/23 hr
Answer: E
The average of ten numbers is 7 .If each number is multiplied by 12 , then the average of new set of numbers is Answer Choice: (A) 28 (B) 236 (C) 288 (D) 84 (E) 26
Answer: D
The closest approximation of (69.28 × 0.004)/0.03 is Answer Choice: (A) 0.092 (B) 0.92 (C) 9.2 (D) 92 (E) 920
Answer: C
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum? Answer Choice: (A) 1888 (B) 1640 (C) 2768 (D) 2976 (E) 2691
Answer: B
Two trains starting at the same time from two stations 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the stations. What is the ratio of their speeds? Answer Choice: (A) 21 : 9 (B) 11 : 9 (C) 71 : 9 (D) 91 : 9 (E) 21 : 2
Answer: B
If 0 < x ≤ 3, then which one of the following is the maximum value of (x – 1)^2 + x ? Answer Choice: (A) –2 (B) –1 (C) 7 (D) 1 (E) 2
Answer: C
If 42/330 = 0.1272, what is the 32nd digit to the right of the decimal point of the fraction? Answer Choice: (A) 1 (B) 4 (C) 5 (D) 7 (E) 2
Answer: E
In Township K, 1/5 of the housing units are equiped with cable Tv. If 1/10 of the housing units, including 1/6 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders? Answer Choice: (A) 23/30 (B) 11/15 (C) 7/10 (D) 1/6 (E) 2/15
Answer: B
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are orange, yellow, green, blue, indigo, and violet. A person reaches into the drawer, pulls out two socks, and puts a single sock on each foot. If each sock can fit either the left or the right foot, and if it matters whether a particular sock is on the left or the right foot, how many different sock fashion combinations could the person make from the six socks? Answer Choice: (A) 12 (B) 15 (C) 21 (D) 36 (E) 30
Answer: E
In how many ways can a Chief Minister and a Vice Minister be elected from a team of 14 members? Answer Choice: (A) 132 (B) 144 (C) 158 (D) 170 (E) 182
Answer: E
A room has both an entrance and an exit door. The room can fill up with people in 5 hours. The room can be empty of people in 15 hours. If it is desired that the room should be filled, from empty, exactly 6 hours after people begin entering the room at 9:30am, then at what time should people begin exiting the room? Answer Choice: (A) 10:00am (B) 10:45am (C) 12:00pm (D) 12:30pm (E) 1:30pm
Answer: D
The dimensions of each book in an encyclopedia set measures 8 in x 4 in x 12 in. (l x w x h). Each shelf (i.e. each divider) has a surface area of 848 sq in., where the thickness is 1 in and the width is 16 in. Assuming there is enough space in between shelves, how many shelves are needed to fit all of the books? Answer Choice: (A) 7 (B) 12 (C) 13 (D) 5 (E) 26
Answer: D
From a Group of 8 People, Including Timo and Gary, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include Timo but not Gary Answer Choice: (A) 5/56 (B) 9/56 (C) 15/56 (D) 21/56 (E) 25/56
Answer: C