loafeihong/math_mmlu_format huggingface dataset:
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along theoundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is? Answer Choice: (A) 134600 m (B) 235600 m (C) 153600 m (D) 153344 m (E) 1456650 m
Answer: C
The product of the digits of the four-digit number W is 36. No two digits of are identical. How many different numbers are possible values of W ? Answer Choice: (A) 6 (B) 12 (C) 24 (D) 36 (E) 48
Answer: C
Sachin is younger than Rahul by 18 years. If the ratio of their ages is 7:9, find the age of Sachin Answer Choice: (A) 24.5 (B) 63 (C) 65 (D) 36 (E) 24.19
Answer: B
In how many W ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct. Answer Choice: (A) W=288 (B) W=144 (C) 12 (D) 48 (E) 96
Answer: B
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Answer Choice: (A) 3/4 (B) 4/7 (C) 1/8 (D) 3/7 (E) None
Answer: B
Express a speed of 16 kmph in meters per second? Answer Choice: (A) 10 mps (B) 8 mps (C) 4 mps (D) 7 mps (E) 2 mps
Answer: C
Find the odd man out. 742, 743, 633, 853, 871, 990, 532 Answer Choice: (A) 532 (B) 990 (C) 633 (D) 742 (E) None of these
Answer: D
5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.120 only. Menâ€™s wages are? Answer Choice: (A) 6Rs (B) 2Rs (C) 4Rs (D) 9Rs (E) 8Rs
Answer: E
If p, q and r are positive integers and satisfy x = (p + q - r)/r = (p - q + r)/q = (q + r - p)/p, then the value of x is? Answer Choice: (A) 81 (B) 1 (C) 9 (D) 8 (E) 6
Answer: B
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. The store packs notepads in packages that contain either 3 notepads of teh same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible? Answer Choice: (A) 6 (B) 8 (C) 16 (D) 24 (E) 32
Answer: C
What is the smallest no. which must be added to 8261955 so as to obtain a sum which is divisible by 11? Answer Choice: (A) 8 (B) 11 (C) 13 (D) 15 (E) 16
Answer: B
Solve the given two equations and find the inequality of X and Y. (a) 225X^2-4 = 0 and (b) (225y)^(1/2) +2 = 0 Answer Choice: (A) If x>y (B) If x>=y (C) If x < y (D) If X<= Y (E) x=y or relationship cannot be established
Answer: E
It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 10 minutes, how much time will she spend doing yoga? (rounded to minutes) Answer Choice: (A) 10 min. (B) 41 min. (C) 17 min. (D) 23 min. (E) 25 min.
Answer: C
The length of each side of square A is increased by 100 percent to make square B. If the length of the side of square B is increased by 25 percent to make square C, by what percent is the area of square C greater than the sum of the areas of squares A and B? Answer Choice: (A) 75% (B) 25% (C) 10% (D) 45% (E) 180%
Answer: D
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 40 hrs and a machine of type S does the same job in 20 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R were used? Answer Choice: (A) 11/3 (B) 10/3 (C) 8/3 (D) 13/3 (E) 7/3
Answer: B
Fred has $200. If he wants to give each of his nine grandkids the same amount of money as a gift, how much money will Fred have left over for himself out of the $200? Answer Choice: (A) $1 (B) $2 (C) $4 (D) $7 (E) $8
Answer: B
If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction. Answer Choice: (A) 1/12 (B) 1/19 (C) 1/16 (D) 1/12 (E) 5/12
Answer: A
Divide Rs. 1400 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is? Answer Choice: (A) 346 (B) 368 (C) 350 (D) 337 (E) 639
Answer: C
The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 2|+ 5 is equal to: Answer Choice: (A) –7 (B) 7 (C) 10 (D) 12 (E) 18
Answer: E
A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 18%? Answer Choice: (A) 17 per kg (B) 17.70 per kg (C) 16.5 per kg (D) 16 per kg (E) None of these
Answer: B
A start walking from a place at a uniform speed of 3 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B. Answer Choice: (A) 4.7 kmph (B) 3.6 kmph (C) 4 kmph (D) 7 kmph (E) 5.3 kmph
Answer: B
A watch passes through three hands and each person gains 25%. If the third person sells it for $62.50, what did the first person pay for it? Answer Choice: (A) $24 (B) $28 (C) $32 (D) $36 (E) $40
Answer: C
List L: ABC, BCA, CAB
In list L above, there are 4 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L? Answer Choice: (A) 47 (B) 114 (C) 152 (D) 161 (E) 488
Answer: C
At 30 minutes past 5 o'clock, what is the angle between the two hands? Answer Choice: (A) 45 (B) 60 (C) 30 (D) 15 (E) 5
Answer: D
As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 40%, what is the probability that Karen will be accepted to at least one project? Answer Choice: (A) 317/500 (B) 141/250 (C) 98/125 (D) 67/100 (E) 23/50
Answer: C
N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total time taken for singing is 28 minutes, what is N? Answer Choice: (A) 5 (B) 7 (C) 9 (D) None (E) Cannot be determined
Answer: B
Vikas can cover a distance in 1 hr 24 min by covering (left(dfrac{2}{3}right)^{rd})of the distance at 4 kmph and the rest at 5kmph. The total distance is? Answer Choice: (A) 4 km (B) 5 km (C) 6 km (D) 9 km (E) 11 km
Answer: C
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 175, the runs scored by B are?
A. 15 B. 18 Answer Choice: (A) 22 (B) 18 (C) 99 (D) 77 (E) 42
Answer: E
A money lender lent Rs. 1000 at 3% per year and Rs. 1200 at 5% per year. The amount should be returned to him when the total interest comes to Rs. 350. Find the number of years. Answer Choice: (A) 3.5 (B) 3.75 (C) 3.88 (D) 4.25 (E) 4.5
Answer: C
5 points are marked on a straight line and another 6 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points? Answer Choice: (A) 91 (B) 5 (C) 196 (D) 21 (E) 14
Answer: B
A car starts from X and moves towards Y. At the same time another car starts from Y and moves towards X. Both travel at a constant speed and meet after 7 hours. During that time, the faster car traveled 2/3 of the distance XY. How long would it take the slower car to travel the distance XY? Answer Choice: (A) 6 hours (B) 8 hours (C) 10 hours (D) 12 hours (E) 21 hours
Answer: E
Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm. Answer Choice: (A) 45 (B) 47 (C) 49 (D) 42 (E) 44
Answer: A
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 47 kg, then the weight of B is: Answer Choice: (A) 39 kg (B) 32 kg (C) 33 kg (D) 34 kg (E) None of these
Answer: A
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 288 (B) 266 (C) 245 (D) 298 (E) 211
Answer: C
Which one of the following is not a prime number? Answer Choice: (A) 51 (B) 61 (C) 71 (D) 82 (E) 91
Answer: E
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is? Answer Choice: (A) 6 (B) 5 (C) 4 (D) 3 (E) 2
Answer: A
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5 hours, then the distance covered at 40 kmph is Answer Choice: (A) 130 km (B) 120km (C) 100km (D) 140km (E) none of these
Answer: C
On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004? Answer Choice: (A) Sunday (B) Saturday (C) Friday (D) Monday (E) Thursday
Answer: A
In a barrel of juice there is 30 liters; in a barrel of beer there are 60 liters. If the price ratio between barrels of juice to a barrel of beer is 3:4, what is the price ratio between one liter of juice and one liter of beer? Answer Choice: (A) 3:2. (B) 2:1. (C) 3:1. (D) 4:3. (E) 9:8
Answer: E
If log10 7 = a, then log10 (1/70)is equal to: Answer Choice: (A) - (1 + a) (B) (1 + a)-1 (C) a /10 (D) 1 /10a (E) None of these
Answer: A
Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 5 miles per hour, what is his average rate for the entire trip in miles per minute? Answer Choice: (A) 1/9 (B) 2/15 (C) 3/15 (D) 1/4 (E) 3/8
Answer: A
A heap of coconuts is divided into groups of 2, 3 and 11 and each time one coconut is left over. The least number of Coconuts in the heap is?
A. 31 B. 41 C. 51 D. 61 Answer Choice: (A) A)31 (B) B)41 (C) C)51 (D) D)67 (E) E)71
Answer: D
If the average marks of three batches of 65, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is Answer Choice: (A) 53.33 (B) 54.41 (C) 55 (D) 57 (E) None
Answer: B
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years? Answer Choice: (A) 409 (B) 400 (C) 428 (D) 427 (E) 402
Answer: B
A certain bag contains 60 balls — 22 white, 18 green, 2 yellow, 15 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple? Answer Choice: (A) 0.7 (B) 0.15 (C) 0.54 (D) 0.85 (E) 0.91
Answer: A
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work? Answer Choice: (A) 17 days (B) 11 days (C) 12 days (D) 15 days (E) 10 days
Answer: B
The average height of 35 boys in a class was calculated as 185cm. 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) 187.89 cm (B) 183.29 cm (C) 123.98 cm (D) 149.98 cm (E) 146.89 cm
Answer: B
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is : Answer Choice: (A) 35 (B) 38 (C) 90 (D) 88 (E) 37
Answer: B
A person borrows Rs.5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 61⁄4% p.a for 2 years. Find his gain in the transaction per year. Answer Choice: (A) 167.5 (B) 150 (C) 225 (D) 112.5 (E) 212.5
Answer: D
Excluding stoppages, the speed of a bus is 80 km/hr and including stoppages, it is 70 km/hr. For how many minutes does the bus stop per hour? Answer Choice: (A) 11 min (B) 10 min (C) 8 min (D) 6 min (E) 5 min
Answer: C
In a group of 50 people, 25 have visited Iceland and 23 have visited Norway. If 21 people have visited both Iceland and Norway, how many people have visited neither country? Answer Choice: (A) 20 (B) 21 (C) 22 (D) 23 (E) 24
Answer: D
The cost price of a radio is Rs.4800 and it was sold for Rs.4400, find the loss %? Answer Choice: (A) 8 (B) 9 (C) 7 (D) 6 (E) 4
Answer: A
What is the sum of the greatest common factor and the lowest common multiple of 36 and 16? Answer Choice: (A) 148 (B) 210 (C) 314 (D) 320 (E) 344
Answer: A
A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time? Answer Choice: (A) 12 (B) 45 (C) 77 (D) 88 (E) 51
Answer: B
In the following alphabet second half is written first and then the first half is arranged in reverse order.
Then which of the following will be the 5th letter to the left of 16th letter from the right?
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Answer Choice: (A) S (B) Y (C) U (D) H (E) K
Answer: A
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more? Answer Choice: (A) 49 (B) 40 (C) 21 (D) 79 (E) 27
Answer: B
The sum of two numbers is 90 and their difference is 10. Find their product. Answer Choice: (A) 104 (B) 2000 (C) 315 (D) 325 (E) 335
Answer: B
If |4x+6| = 36, then find the sum of the values of x? Answer Choice: (A) -3 (B) 4 (C) 3 (D) -5 (E) 6
Answer: A
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 10 months and 7 months respectively. What was the ratio of their investments? Answer Choice: (A) 10:12:14 (B) 12:24:28 (C) 20:22:12 (D) 25:49:80 (E) None of these
Answer: D
1,3,5,7,9,..50 find term of sequnce for this? Answer Choice: (A) 1235 (B) 1540 (C) 1650 (D) 2000 (E) 2500
Answer: E
The population of a village is 6000. It decreases annually at the rate of 10% p.a. What will be its population after 2 years? Answer Choice: (A) 5000 (B) 4860 (C) 5400 (D) 4800 (E) 5120
Answer: B
If u+5/v is a prime integer, which of the following must be true?
1.v=5u
2. v is a prime integer
3. u+5/v is ODD. Answer Choice: (A) None (B) 1 only (C) 2 only (D) 1 and 2 only (E) 2 and 3 only.
Answer: A
There are between 110 and 120 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection? Answer Choice: (A) 111 (B) 113 (C) 115 (D) 117 (E) 119
Answer: B
A one-foot stick is marked in 1/4 and 1/5 portion. How many total markings will there be, including the end points? Answer Choice: (A) 18 (B) 16 (C) 13 (D) 9 (E) 11
Answer: D
Beth received 4/12 of the votes cast in a certian election. What franction of the other votes cast would she have needed in order to have received 1/2 of the votes cast? Answer Choice: (A) 1/5 (B) 2/7 (C) 3/10 (D) 7/20 (E) 2/8
Answer: E
The sum of a rational number and its reciprocal is 13/6. Find the number. Answer Choice: (A) 4/3 or 3/4 (B) 0 (C) 1/3 or 3 (D) 2/3 or 3/2 (E) 2
Answer: D
A baseball card decreased in value 60% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years? Answer Choice: (A) 28% (B) 30% (C) 32% (D) 36% (E) 64%
Answer: E
The average of 11 numbers is 10.6. 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) 9 (B) 9.2 (C) 10 (D) 14.8 (E) 16
Answer: D
Ganesh is one year more than twice Kumar's age. The sum of their age is 7. How old each? Answer Choice: (A) 6, 4 (B) 5, 2 (C) 2, 5 (D) 7, 3 (E) 3, 7
Answer: B
A man can row upstream at 35 kmph and downstream at 45 kmph, and then find the speed of the man in still water? Answer Choice: (A) 32 kmph (B) 34 kmph (C) 40 kmph (D) 45 kmph (E) 65 kmph
Answer: C
which of the following is equivalent to (1-cos^2θ)/cos^2θ Answer Choice: (A) cos^2θ (B) sin^2θ (C) tan^2θ (D) sec^2θ (E) None
Answer: C
The average (arithmetic mean) of the even integers from 0 to 120 inclusive is how much greater than the average (arithmetic mean) of the even integers from 0 to 60 inclusive? Answer Choice: (A) 10 (B) 15 (C) 20 (D) 30 (E) 60
Answer: D
A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 66 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke? Answer Choice: (A) A.138 (B) B.50 (C) C.48 (D) D.46 (E) E.44
Answer: A
The sum of three consecutive even numbers is 246. What are the numbers? Answer Choice: (A) 80,82,84 (B) 65,68,71 (C) 45,47,42 (D) 100,102,49 (E) 87,88,89
Answer: A
0,1,2,0.5,2,3,5,1,2,0,2,1,4,2,3,? Answer Choice: (A) 5 (B) 4 (C) 3 (D) 2 (E) 1
Answer: D
A fraction in reduced form is such that when it is squared and then its numerator is reduced by 33(1/3)% and denominator is reduced to 20%, its result is twice the original fraction. The sum of numerator and denominator is: Answer Choice: (A) 8 (B) 13 (C) 17 (D) 15 (E) None of these
Answer: A
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 6 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement? Answer Choice: (A) 0.5< t < 1.5 (B) 1.75< t < 2.0 (C) 2.0 < t < 2.5 (D) 2.5 < t < 3.0 (E) 3 < t < 3.5
Answer: A
It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work? Answer Choice: (A) 30 days (B) 23 days (C) 45 days (D) 54 days (E) 76 days
Answer: A
Yesterday's closing prices of 2,640 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday? Answer Choice: (A)  484 (B)  726 (C)  1,100 (D)  1,320 (E)  1,440
Answer: E
Rahul went to a shop and bought things worth Rs. 26, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Answer Choice: (A) Rs 15 (B) Rs 12.10 (C) Rs 20.70 (D) Rs 16.80 (E) None of these
Answer: C
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected? Answer Choice: (A) 30 ways (B) 40 ways. (C) 50 ways. (D) 60 ways. (E) 70 ways.
Answer: A
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is: Answer Choice: (A) 5336 (B) 5340 (C) 5342 (D) 5345 (E) 5356
Answer: A
A, B and C invested Rs.6000, Rs.4000 and Rs.10000 respectively, in a partnership business. Find the share of A in profit of Rs.11000 after a year? Answer Choice: (A) 3300 (B) 1100 (C) 2667 (D) 600 (E) 4000
Answer: A
a,b,c,d,e are distinct numbers. if (75-a)(75-b)(75-c)(75-d)(75-e)=2299 then a+b+c+d= ?
Hint:2299 is divisible by 11. Answer Choice: (A) 292, 306, 270, 282, 289 (B) 292, 306, 270, 282, 280 (C) 292, 306, 270, 282, 2228 (D) 292, 306, 270, 282, 212 (E) 292, 306, 270, 282, 210
Answer: B
The yearly compensation of salesperson Y is $4,000 plus 8 percent of the amount by which the total value of the items sold by the store exceeds $250,000. The yearly compensation of salesperson Z is 12 percent of the amount by which the total value of the items sold by the store exceeds $300,000. In the previous year, both salesperson Y and salesperson Z had the same compensation. What was the yearly compensation of salesperson Y last year? Answer Choice: (A) $18,000 (B) $21,000 (C) $24,000 (D) $30,000 (E) $50,000
Answer: E
If A takes x days to do a work then B takes 2x days to do the same work then with in how many day's A will alone complete this work ? Answer Choice: (A) 27 (B) 23 (C) 24 (D) 25 (E) 26
Answer: A
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A? Answer Choice: (A) 2888 (B) 3000 (C) 2887 (D) 27781 (E) 2788
Answer: B
How many seconds will a 250 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Answer Choice: (A) 12 (B) 30 (C) 40 (D) 15 (E) 60
Answer: D
Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction? Answer Choice: (A) 129 (B) 287 (C) 189 (D) 188 (E) 112
Answer: C
If the sum of two numbers is 45 and the L.C.M and sum of the reciprocal of the numbers are 120 and 11/120 then HCF of numbers is equal to: Answer Choice: (A) 55 (B) 5 (C) 10 (D) 45 (E) 4
Answer: B
Find the product of the localvalue and absolutevalue of 7 in 20768? Answer Choice: (A) 9200 (B) 1100 (C) 4900 (D) 3200 (E) 1600
Answer: C
If 23m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m? Answer Choice: (A) 2m −1 (B) 4m (C) 6m (D) m/5 (E) 8m
Answer: E
Find the odd man out. 187, 264, 346, 473, 682, 781 Answer Choice: (A) 187 (B) 346 (C) 781 (D) 682 (E) 473
Answer: B
There are 1000 military people in a division of the army. There is one Officer for every 24 soldiers in that division. Now the question is how many officers are in the division? Answer Choice: (A) 22 (B) 35 (C) 40 (D) 73 (E) 75
Answer: C
8^b + 8^b + 8^b + 8^b + 8^b + 8^b + 8^b + 8^8 = Answer Choice: (A) 7^b (B) 8^(b + 1) (C) 7^(7b) (D) 8^b (E) 49^B
Answer: B
If 4/p=8 & 4/q=18 then p-q=? Answer Choice: (A) 5/18 (B) 6/24 (C) 7/24 (D) 8/24 (E) 9/24
Answer: A
If (x^2 + 3x - 10)/4≤ x + 1, then x could be represented by which of the following? Answer Choice: (A) − 4 ≤ x ≤ − 3 (B) − 4 ≤ x ≤ 3 (C) − 3 ≤ x ≤ 3 (D) 3 ≤ x ≤ 4 (E) − 3 ≤ x ≤ 4
Answer: E
Seven different objects must be divided among three persons. In how many ways this can be done if at least one of them gets exactly one object. Answer Choice: (A) 223 (B) 776 (C) 287 (D) 196 (E) 211
Answer: D
How many four letter combinations can be formed using the letters of the word MISTY? Answer Choice: (A) 15 (B) 80 (C) 120 (D) 180 (E) 240
Answer: C
The G.C.D. of 1.08, 0.36 and 0.9 is: Answer Choice: (A) 0.03 (B) 0.9 (C) 0.18 (D) 0.108 (E) None
Answer: C
45 workers work 8 hours to dig a hole 30 meters deep. How many extra workers should be hired to dig another hole 45 meters deep by working for 6 hours? Answer Choice: (A) 25 (B) 35 (C) 45 (D) 55 (E) 65
Answer: C
Carmelo and LeBron participate in a eight-person footrace on the basketball court during All-Star Weekend. If all eight contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron? Answer Choice: (A) 20160 (B) 2520 (C) 720 (D) 120 (E) 42
Answer: A
Find the value of x from this equation? 7(x - 1) = 21 Answer Choice: (A) 1 (B) 2 (C) 4 (D) 5 (E) 6
Answer: C
Jim wishes to buy 3 gifts that cost 19 dollars, 9 dollars, and 12 dollars. He has 1/4 of the money
he needs. How much more money must he earn in order to buy the gifts? Answer Choice: (A) $57 (B) $47 (C) $7 (D) $30 (E) $27
Answer: D
A taxi charges v dollars for the first two miles and c cents per quarter mile for every mile after the first two. Which equation describes cost of a taxi ride of n miles in dollars. Answer Choice: (A) vn – c/8(100) (B) cv + 4n-8/200 (C) v + (4cn-8c)/100 (D) v + 100cn/4 (E) 4cv(n-2) – 100
Answer: C
If x and y are even integers, which of the following is an odd integer? Answer Choice: (A) x-y (B) x-y+2 (C) xy+2 (D) x-y-2 (E) none of these
Answer: E