loafeihong/math_mmlu_format huggingface dataset:
Nine friends go to see a movie at the local movie theater and sit in a row together. If there are two friends who refuse to sit next to each other, how many 9-person seating arrangements are possible? Answer Choice: (A) 122,400 (B) 162,920 (C) 202,180 (D) 242,360 (E) 282,240
Answer: E
A man is 37 years older than his son. In two years, his age will be twice the age of his son. The present age of this son is Answer Choice: (A) 78 years (B) 22 years (C) 88 years (D) 35 years (E) 65 years
Answer: D
85 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used? Answer Choice: (A) 75 (B) 80 (C) 85 (D) 90 (E) 95
Answer: A
CONVERT 1.8 hectares in ares Answer Choice: (A) 130 ares. (B) 160 ares. (C) 180 ares. (D) 230 ares. (E) 250 ares.
Answer: C
How many 4-letter words with or without meaning can be formed out of the letters of the word,'LOGARITHMS',if repetition of letters is not allowed? Answer Choice: (A) 5040 (B) 2520 (C) 400 (D) 40 (E) 1502
Answer: A
A Jar contains a mixture of A & B in the ratio 4:1. When 10 L of Mixture is replaced with liquid B, ratio becomes 2:3. How many liters of liquid A was present in mixture initially. Answer Choice: (A) 12 (B) 15 (C) 16 (D) 20 (E) 25
Answer: C
Dravid rented a power tool from a rental shop. The rent for the tool was $8 for the first hour and $3 for each additional hour. If Dravid paid a total of $38, excluding sales tax, to rent the tool, for how many hours did she rent it? Answer Choice: (A) 10 (B) 11 (C) 12 (D) 13 (E) 15
Answer: B
If x,y ,and z are positive real numbers such that x+y-z =100 , y-z+x =120 , and z-x+y = 50, then find the x+y+z value? Answer Choice: (A) 100 (B) 120 (C) 150 (D) 200 (E) 160
Answer: B
A seven-digit phone number is divisible by 7. After adding the two digits of the area code the number is not divisible by 7, which of the following cannot be the area code? Answer Choice: (A) 07. (B) 07. (C) 05. (D) 04. (E) 02.
Answer: B
Find the principle on a certain sum of money at 11% per annum for 2 2/5 years if the amount being Rs.1120? Answer Choice: (A) 1000 (B) 812.88 (C) 827.78 (D) 826.82 (E) 886.08
Answer: E
The ratio of buses to cars on River Road is 1 to 3. If there are 40 fewer buses than cars on River Road, how many cars are on River Road? Answer Choice: (A) 60 (B) 75 (C) 85 (D) 95 (E) 105
Answer: A
Three numbers are in the ratio 5 : 4 : 6 and their average is 750. The largest number is : Answer Choice: (A) 30 (B) 98 (C) 900 (D) 21 (E) 22
Answer: C
The sides of a square region, measured to the nearest centimeter, are 9 centimeters long. The least possible value of the actual area of the square region is Answer Choice: (A) 60.25 sq cm (B) 66.25 sq cm (C) 56.25 sq cm (D) 72.25 sq cm (E) 58.25 sq cm
Answer: C
3x^2 - 10x + 8 = Answer Choice: (A) (3x-4)(x-2) (B) (3x-4)(x+2) (C) (3x-4)(x-3) (D) (3x-2)(x+4) (E) none of above
Answer: A
In a garden, 26 trees are planted at equal distances along a yard 500 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees? Answer Choice: (A) 20 (B) 8 (C) 12 (D) 14 (E) 16
Answer: A
Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 18 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately. Answer Choice: (A) 25 days (B) 100 days (C) 120 days (D) 110 days (E) 90 days
Answer: A
In a given set of X = {70,55,98,45,62} what is the difference of median and mean of the set X? Answer Choice: (A) 25 (B) 30 (C) 32 (D) 40 (E) 45
Answer: C
Four extra-large sandwiches of exactly the same size were ordered for m students, where m > 8. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich? Answer Choice: (A) (4m-10)/[m(m-8)] (B) (4m-24)/[m(m-2)] (C) (4m-24)/[m(m-3)] (D) (4m-24)/[m(m-6)] (E) (4m-24)/[m(m-8)]
Answer: E
Two partners in a business (Carol and Ben) invested $500 and $850 in a business respectively. At the end of the year they made a profit of $250. Find share of each partner? Answer Choice: (A) $92.59,$157.41 (B) $96.59,$157.41 (C) $92.59,$159.41 (D) $92.59,$127.41 (E) $12.59,$157.41
Answer: A
There are 13 clubs in a full deck of 52 cards. In a certain game, you pick a card from a standard deck of 52 cards. If the card is a club, you win. If the card is not a club, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a club, and the point is to measure how many draws it took before the person picked a club and, thereby, won. What is the probability that one will pick the first club on the forth draw or later? Answer Choice: (A) 1/2 (B) 3/4 (C) 7/8 (D) 27/32 (E) 27/64
Answer: E
If a and b are positive integers of T such that a/b=2.86, which of the following must be a divisor of a? Answer Choice: (A) 10 (B) B.13 (C) 18 (D) 26 (E) 50
Answer: B
If f(a)=2a+2, what is the value of (f(2a)+f(a)) ? Answer Choice: (A) 2a-4 (B) 8a-7 (C) 9a+5 (D) 6a+12 (E) 6a+4
Answer: E
John was 35 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty's age is now 7/8 of John's. How old is Betty? Answer Choice: (A) 24 (B) 35 (C) 28 (D) 30 (E) 32
Answer: B
five mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the five arrange themselves in line such that Frankie’s requirement is satisfied? Answer Choice: (A) 80 (B) 66 (C) 60 (D) 72 (E) 75
Answer: C
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.3146 in 3 years. Find the rate percent? Answer Choice: (A) 11 (B) 30 (C) 28 (D) 24 (E) 82
Answer: B
If 16^y = 4^14, what is y? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 6 (E) 7
Answer: E
The circumference of a circle is equal to 72 pi. Find the radius of this circle. Answer Choice: (A) 32 (B) 33 (C) 36 (D) 37 (E) 39
Answer: C
The city of Boston decided to reconstruct its major tunnels. It estimated the job would require 612 mini projects spread evenly over an 18 month plan of completion. Only 108 mini projects had been successfully completed after 4 months. At this time, the construction was behind schedule by how many projects? Answer Choice: (A) 28 (B) 96 (C) 198 (D) 204 (E) 504
Answer: A
A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 16 feet tall and 3 feet in circumference? Answer Choice: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16
Answer: A
The difference of the squares of two consecutive odd integers is divisible by which of the following integers ? Answer Choice: (A) 4 (B) 6 (C) 2 (D) 8 (E) 0
Answer: D
Having scored 94 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings? Answer Choice: (A) 28 (B) 27 (C) 26 (D) 22 (E) 24
Answer: D
The probability that A speaks truth is 3/5 and that of B speaking truth is 3/7. What is the probability that they agree in stating the same fact? Answer Choice: (A) 17/35 (B) 17/37 (C) 17/39 (D) 17/33 (E) 17/31
Answer: A
A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum? Answer Choice: (A) 337 (B) 268 (C) 198 (D) 646 (E) 168
Answer: D
Sum of three numbers 264, 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) 70 (B) 71 (C) 72 (D) 73 (E) 74
Answer: C
Two different solutions of alcohol with respective proportions of alcohol to water of 3:1 and 2:3 were combined. What is the concentration of alcohol in the new solution if the first solution was 4.6 times the amount of the second solution? Answer Choice: (A) 62.0 (B) 65.25 (C) 68.75 (D) 70.15 (E) 72.35
Answer: C
A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 5% of bananas were rotten. Find the percentage of fruits in good condition? Answer Choice: (A) 92.5% (B) 89.0% (C) 85.2% (D) 96.8% (E) 78.9%
Answer: B
A man is walking at a speed of 10 km per hour. After every kilometre, he takes rest for 10 minutes. How much time will be take to cover a distance of 10 kilometres? Answer Choice: (A) 148 min. (B) 150 min. (C) 145 min. (D) 155 min. (E) None of these
Answer: B
The average of runs of a cricket player of 20 innings was 36. How many runs must he make in his next innings so as to increase his average of runs by 4 ? Answer Choice: (A) 96 (B) 106 (C) 122 (D) 116 (E) 120
Answer: E
Find the length of a rectangle isdecreased by 40cm & the width is increased by 3cm, a square with the samearea as the original rectangle result. Find the perimeter of the original rectangle? Answer Choice: (A) 30 cm (B) 40 cm (C) 50 cm (D) 64 cm (E) 70 cm
Answer: C
If the LCM of two integers M, N (where N> M and M>1) is M*N, then which of the following can not be true? Answer Choice: (A) Both M and N can be Prime Numbers. (B) Both M and N can be consecutive integers. (C) M and N do not share any Prime factors. (D) All Prime factors of M must be Prime factors of N. (E) M and N do not have a common factor.
Answer: D
An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied? Answer Choice: (A) 4/9 (B) 4/1 (C) 4/7 (D) 4/2 (E) 4/9
Answer: A
An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 16 times the difference between the two numbers. How many coins did the old man have? Answer Choice: (A)  24 (B)  26 (C)  30 (D)  16 (E)  40
Answer: D
At a meeting, 3 people are to be seated around a circular table. Two 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? Answer Choice: (A) 2 (B) 7 (C) C)120 (D) D)144 (E) E)720
Answer: C
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.96 at the candy store. What is John’s weekly allowance? Answer Choice: (A) $2.40 (B) $3.00 (C) $3.20 (D) $3.60 (E) $4.80
Answer: D
If (c - a)/(c - b) = 3, then (5b - 5a)/(c - a) = Answer Choice: (A) 0.5 (B) 1 (C) 1.5 (D) 3.33 (E) 2.5
Answer: D
In the faculty of Reverse-Engineering, 220 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total? Answer Choice: (A) 515. (B) 545. (C) 618. (D) 644. (E) 636.
Answer: E
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively The ratio of their speeds is Answer Choice: (A) 2 : 3 (B) 4 : 3 (C) 6 : 7 (D) 9 : 16 (E) None
Answer: B
10x + 2y = -6
2x + y = 3
In the system of equations above, what is the value of x? Answer Choice: (A) 3 (B) 2 (C) 1 (D) -1 (E) -2
Answer: E
What is the value of n if the sum of the consecutive odd intergers Q from 1 to n equals 169? Answer Choice: (A) 47 (B) 25 (C) 37 (D) 33 (E) 29
Answer: B
If 0 < X < Y, X is an odd number and Y is a prime number, which of the following can be the value of X + Y ? Answer Choice: (A) 11. (B) 13. (C) 17. (D) 10 (E) 7.
Answer: D
If the complement of a certain angle is twice the measure of that certain angle, then what is the measure of that certain angle? Answer Choice: (A) 45° (B) 30° (C) 22.5° (D) 18° (E) 15°
Answer: B
Seven students are trying out for the school soccer team, on which there are three available positions: fullback, sweeper, and goalie. Each student can only try out for one position. The first two students are trying out for fullback. The next two students are trying out for sweeper. The remaining three students are trying out for goalie. However, the fourth student will only play if the second student is also on the team, and the third student will only play if the fifth student is on the team. How many possible combinations of students are there to fill the available positions? Answer Choice: (A) 3 (B) 5 (C) 7 (D) 10 (E) 12
Answer: B
The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ? Answer Choice: (A) 20 (B) 21 (C) 23 (D) 26 (E) 29
Answer: C
An equilateral triangle T2 is formed by joining the mid points of the sides of another equilateral triangle T1. A third equilateral triangle T3 is formed by joining the mid-points of T2 and this process is continued indefinitely. If each side of T1 is 45 cm, find the sum of the perimeters of all the triangles. Answer Choice: (A) 180 cm (B) 220 cm (C) 240 cm (D) 270 cm (E) 300 cm
Answer: D
If a man buys 10 lollipops for $80 and sold them for $4 dollars determine his loss. Answer Choice: (A) 50 (B) 40 (C) 70 (D) 80 (E) 90
Answer: B
What should come in place of the question mark (?) in the following equation?
47(7.5) ÷ 47 3⁄2 × 4 7-3 = (√47)? Answer Choice: (A) 3 (B) 2 1⁄2 (C) 6 (D) 3.5 (E) None of these
Answer: C
A 250 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train? Answer Choice: (A) 230 (B) 288 (C) 250 (D) 256 (E) 298
Answer: C
a men walked 30m west 5m south 10m west 35m north to tollgate find the distance from the start gate? Answer Choice: (A) 40m (B) 50m (C) 60m (D) 70m (E) 80m
Answer: B
A man can row a boat at 20 kmph in still water. If the speed of the stream is 4 kmph, what is the time taken to row a distance of 60 km downstream? Answer Choice: (A) 30/18 hours (B) 37/13 hours (C) 80/13 hours (D) 5/2 hours (E) 30/43 hours
Answer: D
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is? Answer Choice: (A) 11.9 (B) 11.0 (C) 11.2 (D) 11.5 (E) 11.7
Answer: D
X and Y invested in a business. They earned some profit which they divided in the ratio of 1 : 3. If X invested Rs.10,000. the amount invested by Y is Answer Choice: (A) Rs.30,000 (B) Rs.50,000 (C) Rs.60,000 (D) Rs.80,000 (E) None
Answer: A
The average of first six prime numbers which are odd is? Answer Choice: (A) 7.55 (B) 9.33 (C) 6.56 (D) 8.23 (E) 3.5
Answer: B
In a certain city, 75 percent of the households have cable television, and 60 percent of the households have videocassette recorders. If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be any number from: Answer Choice: (A) 52,500 to 90,000 inclusive (B) 37,500 to 120,000 inclusive (C) 60,000 to 90,000 inclusive (D) 72,500 to 120,000 inclusive (E) 90,000 to 120,000 inclusive
Answer: A
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Answer Choice: (A) 4800 (B) 4991 (C) 5004 (D) 5000 (E) 6000
Answer: B
Two pipes can fill a tank in 10 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank? Answer Choice: (A) 30 minutes (B) 8 minutes (C) 15 minutes (D) 10 minutes (E) 12 minutes
Answer: B
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m? Answer Choice: (A) Rs.4082.29 (B) Rs.4082.27 (C) Rs.4082.26 (D) Rs.4082.40 (E) Rs.4082.45
Answer: D
if ratio of total amount and principal amount is 3:2.rate of interest 5%.calculate the time. Answer Choice: (A) 10 (B) 6 (C) 5 (D) 8 (E) data not available
Answer: A
How many real roots does the equation x^2y+16xy+62y=0 have if y < 0? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) Infinite
Answer: C
If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 4 and 5K + 1 is 63, what is the value of K? Answer Choice: (A)  22 10/11 (B)  15 3/4 (C)  22 (D)  23 (E)  25 3/10
Answer: A
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work? Answer Choice: (A) 11 days (B) 77 days (C) 15 days (D) 18 days (E) 19 days
Answer: C
The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-6), how many units is P from the y-axis? Answer Choice: (A) 3 (B) 6 (C) 9 (D) 10.5 (E) 12
Answer: E
In digging a pond 30m*10m*5m the volumes of soil extracted will be ? Answer Choice: (A) 2000 cu.m (B) 2500 cu.m (C) 15000 cu.m (D) 1500 cu.m (E) 3000 cu.m
Answer: D
When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 26 names, the roster for her marketing class (M) had 28, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in common, E and S had 7, and M and S had 10. She also saw that 9 names were on all 3 rosters. If the rosters for Professor Wang's 3 classes are combined with no student's name listed more than once, how many names will be on the combined roster? Answer Choice: (A) 30 (B) 34 (C) 42 (D) 46 (E) 55
Answer: E
All of the stocks on the over-the-counter market are designated by either a 5-letter or a 6-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes? Answer Choice: (A) 2(26^5) (B) 26(26^4) (C) 27(26^4) (D) 26(26^5) (E) 27(26^5)
Answer: E
If the units digit of n^26 is 7, which of the following could be the value of n?
I. n = 41
II. n = 49
III. n = 47 Answer Choice: (A) Only I (B) Only II (C) Only III (D) I and II (E) II and III
Answer: B
A bag contains 3 red balls, 5 green balls and 6 white balls. A ball is drawn at
random from the box. What is the probability that the ball drawn is either red or green? Answer Choice: (A) 2/5 (B) 3/5 (C) 4/7 (D) 7/15 (E) 8/15
Answer: C
Narendra started a business, investing 30000. Six months later, Chandan joined him with 15000. If they make a profit of 10000 at the end of the year, what should be the share of Narendra? Answer Choice: (A) Rs.7000 (B) Rs.8000 (C) Rs.9000 (D) Rs.10000 (E) Rs.11000
Answer: B
The fraction 101 27/100000 in decimal for is: Answer Choice: (A) 101.027 (B) 101.00027 (C) 101.0027 (D) 10100027 (E) 1010027
Answer: B
If 0.4 of a number is equal to 0.07 of another number, the ratio of the numbers i Answer Choice: (A) 2 : 3 (B) 7 : 40 (C) 3 : 20 (D) 20 : 3 (E) None
Answer: B
What is the largest 4 digit number exactly divisible by 48? Answer Choice: (A) 4676 (B) 4678 (C) 9984 (D) 9504 (E) 9936
Answer: C
Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $189 million, which represented 9 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars? Answer Choice: (A) 17,010 (B) 2,100 (C) 1,890 (D) 1,701 (E) 210
Answer: B
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 70 km downstream? Answer Choice: (A) 30/83 hours (B) 33/13 hours (C) 31/13 hours (D) 35/13 hours (E) 30/14 hours
Answer: D
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. States B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State ? Answer Choice: (A) 7600 (B) 8000 (C) 8400 (D) Data inadequate (E) None of these
Answer: B
Starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. What is the label on an integer that is the sum of an alpha raised to the seventh power and another alpha raised to the seventh power? Answer Choice: (A) alpha. (B) beta. (C) gamma. (D) delta. (E) epsilon.
Answer: A
if log 6 = 0.778151, the number of digits in 6128 is Answer Choice: (A) 22 (B) 39 (C) 88 (D) 100 (E) 98
Answer: D
Martha has the unique talent of being able to guess other people’s height and weight. For every four people that Martha meets, she consistently guesses the people’s correct height three times, and for every five people that she meets, she consistently guesses the people’s correct weight four times. If Martha meets three people and her success rate remains constant, what is the probability that Martha correctly guesses a person’s weight and height at least once? Answer Choice: (A) 8/27 (B) 117/125 (C) 49/81 (D) 98/125 (E) 125/144
Answer: B
A train passes a platform in 16 seconds. The same train passes a man standing on the platform in 10 seconds. If the speed of the train is 54 km/hr, The length of the platform is Answer Choice: (A) 40 (B) 50 (C) 90 (D) 30 (E) 20
Answer: C
The average of first five multiples of 4 is Answer Choice: (A) 3 (B) 6 (C) 9 (D) 12 (E) 15
Answer: D
Subtracting 7% of A from A is equivalent to multiplying A by how much ? Answer Choice: (A) 0.93 (B) 9.4 (C) 0.094 (D) 94 (E) None
Answer: A
In a certain game, you pick a card from a standard deck of 52 cards. If the card is a spade, you win. If the card is not a spade, the person replaces the card to the deck, reshuffles, and draws again. The person keeps repeating that process until he picks a spade, and the point is to measure how many draws did it take before the person picked a spade and won. What is the probability that there will be at least three draws involved in a win, i.e. someone picking her first spade on the third draw or later? Answer Choice: (A)  1/2 (B)  11/16 (C)  9/16 (D)  13/16 (E)  15/16
Answer: C
What is the number that should come in the place of question mark?
1050	420	168	67.2	? Answer Choice: (A) 29.88 (B) 10.752 (C) 4.3008 (D) 26.88 (E) 27.88
Answer: D
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train ? Answer Choice: (A) 230 m (B) 240 m (C) 260 m (D) 270 m (E) 280 m
Answer: D
Patrick is an avid star gazer and wants to make his own constellation. He is using a star chart that has 7 stars on it and decides that he will draw a continuous line using 3 of those 7 stars to make his constellation. There will be no closed shapes in his constellation. How many possible paths could his contstellation follow? Answer Choice: (A) 15 (B) 21 (C) 97 (D) 210 (E) 980
Answer: D
if 16 girls take eight hours to complete a task, then how long should 40 girls take to complete the same task? Answer Choice: (A) 180 min (B) 194 min (C) 192 min (D) 196 min (E) 198 min
Answer: C
A car covers a distance of 624 km in 6 ½ hours. Find its speed? Answer Choice: (A) 104 (B) 288 (C) 271 (D) 276 (E) 128
Answer: A
The sum of all the integers k such that –24 < k < 24 is Answer Choice: (A) 0 (B) -2 (C) -45 (D) -49 (E) -51
Answer: C
Which of the statements can be dispensed with while answering the above question? Answer Choice: (A) A only (B) B only (C) A or C only (D) B or C only (E) C or D only
Answer: A