loafeihong/math_mmlu_format huggingface dataset:
A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 5 buckles is how many times that of 5 buckles and 6 buttons? Answer Choice: (A) 1/2 (B) 2/3 (C) 3/4 (D) 4/5 (E) 5/6
Answer: B
There are 10 pair of socks in a cupboard from which 4 individual socks are picked at random. The probability that there is at least one pair is: Answer Choice: (A) 195/323 (B) 99/323 (C) 198/323 (D) 185/323 (E) 115/323
Answer: B
A teacher gave the same test to three history classes: W, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined? Answer Choice: (A) 74 (B) 75 (C) 76 (D) 77 (E) 78
Answer: B
If n=(81!  − 80!  + 79!)/(79!), which of the following could be subtracted from n so that √n is an integer? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: A
A man has Rs. 320 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) 90 (B) 70 (C) 50 (D) 80 (E) 60
Answer: E
50 + 5 * 12 / (180/3) = ? Answer Choice: (A) 23 (B) 78 (C) 27 (D) 51 (E) 81
Answer: D
The speed of light is approximately 1,76 * 10^5 miles per second. This approximate speed is how many miles per hour? Answer Choice: (A)  1,11 * 10^7 (B)  6,70 * 10^8 (C)  1,11 * 10^8 (D)  1,86 * 10^8 (E)  6,70 * 10^7
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 110 marks, the no of questions he attempts correctly is : Answer Choice: (A) 34 (B) 38 (C) 40 (D) 42 (E) 44
Answer: A
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4m3 , then the rise in the water level in the tank will be: Answer Choice: (A) 20 cm (B) 25 cm (C) 35 cm (D) 50 cm (E) None of these
Answer: B
A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is? Answer Choice: (A) 4:7 (B) 4:9 (C) 4:3 (D) 4:6 (E) 4:2
Answer: C
Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Sunday, what was the expected day when both the brothers were to return home and when did Rohit Return? Answer Choice: (A) Thursday, Monday (B) Sunday, Thursday (C) Wednesday, Sunday (D) Monday, Friday (E) none
Answer: C
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 180 m in 18 sec. then find the length of the train? Answer Choice: (A) 187 (B) 180 (C) 289 (D) 216 (E) 279
Answer: B
Two pipes A,B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.? Answer Choice: (A) 8 min (B) 9 min (C) 7 min (D) 6 min (E) 5 min
Answer: A
Which of the following integers is NOT a divisor of x if x = (21)(3^7) – (7)? Answer Choice: (A) 2 (B) 4 (C) 7 (D) 9 (E) 10
Answer: D
A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 40% less than the price each head sold for on the day before. What was the total gross profit on this shipment. Answer Choice: (A) $100 (B) b $115 (C) c $125 (D) d $50 (E) e $135
Answer: D
A machine puts c caps on bottles in m minutes. How many T hours will it take to put caps on b bottles? Answer Choice: (A) 60bm/c (B) T=bm/60c (C) bc/60m (D) 60b/cm (E) b/60cm
Answer: B
Raja was born 4 years after his father's marriage. His mother is 4 years younger than his father but 20 years older than Raja who is 20 years old. At what age did the father get married ? Answer Choice: (A) 30 years (B) 25 years (C) 20 years (D) 22 years (E) 21 years
Answer: C
Two integers are in the ratio of 1 to 3. If 10 is added to the smaller number, the ratio becomes 1 to 1. Find the larger integer. Answer Choice: (A) 6 (B) 9 (C) 10 (D) 12 (E) 15
Answer: E
95% of the house of a city is 7600. The total house of the city is? Answer Choice: (A) 7500 (B) 8250 (C) 10000 (D) 7750 (E) 8000
Answer: E
When I was married 10 years ago, my wife was the sixth member in the family. Today, my father died,and a baby was born to me. The average age in my family today is what it was when I was married.How old was my father when he died? Answer Choice: (A) 50 years (B) 60 years (C) 70 years (D) 80 years (E) Indeterminate
Answer: B
A boat can travel with a speed of 25km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 120km downstream. Answer Choice: (A) 1 hr (B) 2 hrs (C) 3 hrs (D) 4 hrs (E) 5 hrs
Answer: D
The ratio of male to female in a class is 3:4. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one third of the males and two-third of the females in the class? Answer Choice: (A) a)160 degree (B) b) 168 degree (C) c)264 degree (D) d)192 degree (E) e)204 degree
Answer: C
A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 32 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture? Answer Choice: (A) 2:5 (B) 5:14 (C) 3:5 (D) 4:7 (E) 14:5
Answer: B
If x, y, and z are positive integers and 3x = 7y = 5z, then the least possible value of x + y + z is Answer Choice: (A) 15 (B) 25 (C) 71 (D) 35 (E) 45
Answer: C
HCF and LCM two numbers are 14 and 396 respectively. If one of the numbers is 36, then the other number is? Answer Choice: (A) 36 (B) 66 (C) 154 (D) 264 (E) 364
Answer: C
99,995^2 - 5^2 = Answer Choice: (A) 10^10 - 2 (B) (10^5 – 2)^2 (C) 10^4(10^5 – 2) (D) 10^5(10^5 – 10) (E) 10^5(10^5 – 2)
Answer: D
Of the families in City X in 1994, 40 percent owned a personal computer. The number of families in City X owning a computer in 1998 was 30 percent greater than it was in 1994, and the total number of families in City X was 4 percent greater in 1998 than it was in 1994. what percent of the families in City X owned a personal computer in 1998? Answer Choice: (A) 50% (B) 52% (C) 56% (D) 70% (E) 74%
Answer: A
If 2805 / 2.55 = 1100, then 280.5 / 25.5 is equal to ? Answer Choice: (A) 1.01 (B) 1.1 (C) 0.11 (D) 11 (E) None
Answer: D
In a series of consecutive odd numbers, 27 is the eighth smallest number and 25 is the ninth largest number. What is the range of the series? Answer Choice: (A)  32 (B)  30 (C)  28 (D)  16 (E)  14
Answer: C
If q and t are positive integers, qt + q + t cannot be Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: B
A basketball player is shooting hoops. He shoots a free throw, a high school 3-pointer, and then a professional 3-pointer. The probability that he makes the free throw is 4/5, the probability that he makes the high school 3-pointer is 1/2, and the probability that he makes the professional 3-pointer is 1/3. What is the probability that he makes at least one of the three shots? Answer Choice: (A) 14/15 (B) 15/16 (C) 17/18 (D) 9/10 (E) 5/6
Answer: A
A man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is Answer Choice: (A) 16 (B) 14 (C) 15 (D) 18 (E) 20
Answer: D
The compound ratio of 2/3, 6/7, 1/3 and 3/8 is given by? Answer Choice: (A) 7/98 (B) 1/48 (C) 1/98 (D) 1/96 (E) 3/42
Answer: E
The average age of 6 men increases by 3 years when two women are included in place of two men of ages 24 and 26 years. Find the average age of the women? Answer Choice: (A) 37 (B) 26 (C) 34 (D) 18 (E) 11
Answer: C
A factory produces 8000 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day? Answer Choice: (A) 4436 toys (B) 5487 toys (C) 2000 toys (D) 2354 toys (E) 1375 toys
Answer: C
There are 760 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school? Answer Choice: (A) 320 (B) 345 (C) 425 (D) 475 (E) 400
Answer: D
a boatman selling a boat along river flow.if he sell boat in steal water at 3m/sec and flow of river is 2m/sec.how much time he will take to sell 100m. Answer Choice: (A) 30 (B) 10 (C) 15 (D) 20 (E) 25
Answer: D
If a and b are multiples of 9 then which are all the multiples of 9
1) a*b
2) a/b
3) a+b
4) a-b
5) a^b Answer Choice: (A) 1,2,5 (B) all of these (C) 1,3,4,5 (D) 2,3,4,5 (E) 1,3
Answer: C
Mark has a rectangular driveway with a line painted diagonally across. The length of the driveway is 6 feet longer than its width. If the total area of the driveway is 40 square feet, what is the length of the painted line (in feet)? Answer Choice: (A) Between 9 and 10 (B) Between 10 and 11 (C) Between 11 and 12 (D) Between 12 and 13 (E) Between 13 and 14
Answer: B
Which greatest possible length can be used to measure exactly 15 meter 20 cm, 12 meter 20 cm and 14 meter 20 cm Answer Choice: (A) 20cm (B) 25cm (C) 24cm (D) 55cm (E) 30cm
Answer: A
The sum of five numbers is 100. The average of the first two numbers is 10 and the third number is 30. Find the average of the two numbers? Answer Choice: (A) 25 (B) 20 (C) 23 (D) 22 (E) 30
Answer: A
Mira is making telescopes, each consisting of 2 lenses, 1 tube, and 1 eyepiece. Lenses can be purchased only in packs of 50, tubes only in packs of 10, and eyepieces only in packs of 30. However, half of the lenses in each pack are not usable for telescopes. If all parts are used only for the telescopes what is the minimum number of lenses Mira must purchase to make a set of telescopes with no leftover components other than the unusable lenses? Answer Choice: (A) 75 (B) 150 (C) 300 (D) 500 (E) 2400
Answer: E
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage? Answer Choice: (A) 88% (B) 50% (C) 87% (D) 66% (E) 54%
Answer: B
A FIVE DIGIT NUMBER DIVISIBLE BY 3 IS TO BE FORMED USING THE DIGITS 0, 1, 2, 3, 4 and 5 WITHOUT REPETITIONS. THAT TOTAL NO OF WAYS IT CAN BE DONE IS? Answer Choice: (A) 122 (B) 210 (C) 216 (D) 217 (E) 220
Answer: C
A grocer has a sale of Rs. 2500, Rs. 4000, Rs. 3540 for 3 consecutive months. How much sale must he have in the fourth month so that he gets an average sale of Rs. 2890? Answer Choice: (A) Rs.3500 (B) Rs. 1520 (C) Rs. 4996 (D) Rs. 4000 (E) Rs. 900
Answer: B
A man reaches his office 20 min late, if he walks from his home at 3 km per hour and reaches 30 min early if he walks 4 km per hour. How far is his office from his house ? Answer Choice: (A) 50 km (B) 80 km (C) 20 km (D) 10 km (E) 30 km
Answer: D
Sarah operated her lemonade stand Monday through Friday over a two week period and made a total profit of 350 dollars. On hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. Each cup she sold had a total cost of 75 cents and Sarah did not incur any other costs. If every day she sold exactly 32 cups and 4 of the days were hot, then what was the price of 1 cup on a hot day? Answer Choice: (A) $ 1.50 (B) $ 1.88 (C) $ 2.09 (D) $ 2.50 (E) $ 3.25
Answer: C
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.10 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost? Answer Choice: (A) 1788 (B) 1200 (C) 2789 (D) 1776 (E) 1999
Answer: B
A reduction of 40% in the price of bananas would enable a man to obtain 65 more for Rs.40, what is reduced price per dozen? Answer Choice: (A) 1.95 (B) 2.95 (C) 4.95 (D) 3.95 (E) 5.95
Answer: B
A train 120 m in length crosses a telegraph post in 6 seconds. The speed of the train is? Answer Choice: (A) 72 kmph (B) 88 kmph (C) 54 kmph (D) 18 kmph (E) 19 kmph
Answer: A
If (1 – 1.25)N = 5, then N = Answer Choice: (A)  −20 (B)  −140 (C)  −4 (D)  4 (E)  400
Answer: A
A and B together can complete work in 5 days. A alone starts working and leaves it after working for 3 days completing only half of the work. In how many days it can be completed if the remaining job is undertaken by B? Answer Choice: (A) 4 (B) 8 (C) 15 (D) 6 (E) 7
Answer: C
A man sells a horse for Rs.800 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Answer Choice: (A) 337 (B) 278 (C) 221 (D) 860 (E) 121
Answer: D
Suppose 7 students are staying in a hall in a hostel and they are allotted 7 beds. Among them, Parvin does not want a bed next to Anju because Anju snores. Then, in how many ways can you allot the beds? Answer Choice: (A) 600 (B) 620 (C) 670 (D) 690 (E) 700
Answer: A
A man is 22 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son? Answer Choice: (A) 23 years (B) 22 years (C) 21 years (D) 20 years (E) 19 years
Answer: D
Which of the following is a prime number ? Answer Choice: (A) 2 (B) 1 (C) 5 (D) 4 (E) 3
Answer: A
Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively. Answer Choice: (A) 121 (B) 124 (C) 127 (D) 122 (E) 129
Answer: C
Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 30% and 20% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of Answer Choice: (A) 18% (B) 20% (C) 21% (D) 23% (E) Cannot be determined
Answer: D
If a and b are two-digit integers such that a > 20 and b<60, which of the following is closest to the maximum possible value of ab ? Answer Choice: (A)  700 (B)  2,800 (C)  5,841 (D)  7,000 (E)  28,000
Answer: C
A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multiple of 4, what is the smallest possible total number of tokens in the jar? Answer Choice: (A)  9 (B)  12 (C)  15 (D)  18 (E)  21
Answer: C
Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 8) and (12,2). What is the slope of line m? Answer Choice: (A) -2 (B) -1 (C) 0 (D) 1 (E) 2
Answer: D
A straight pipe 7 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard? Answer Choice: (A)  1/6 and 1/4 only (B)  1/4 and 1/3 only (C)  1/6, 1/4, and 1/3 (D)  1/12, 1/6 and 1/4 (E)  1/12, 1/6, and 1/3
Answer: E
A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 32 now, the son age 5 years back was Answer Choice: (A) 11 (B) 17 (C) 11 (D) 19 (E) 99
Answer: A
How many integers k greater than 100 and less than 1100 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99? Answer Choice: (A) 50 (B) 60 (C) 70 (D) 80 (E) 90
Answer: E
Compound interest of Rs.6000 at 10% per annum for 1 1/2years will be (interest compounded half yearly). Answer Choice: (A) Rs.473 (B) Rs.374 (C) Rs.495 (D) Rs.945 (E) None of the above
Answer: D
The speed of a boat in upstream is 50 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream? Answer Choice: (A) 10 (B) 40 (C) 88 (D) 66 (E) 23
Answer: B
On a map the distance between two mountains is 312 inches. The actual distance between the mountains is 140 km. Ram is camped at a location that on the map is 34 inch from the base of the mountain. How many km is he from the base of the mountain? Answer Choice: (A) 14.83 (B) 14.81 (C) 14.8 (D) 15.25 (E) 14.12
Answer: D
If the simple interest on Rs. 8010 amount to Rs $3364.20 in 6 Years, calculate the rate percent? Answer Choice: (A) 5% (B) 6% (C) 7% (D) 3% (E) 9%
Answer: C
During the first week of performances of a certain play, 5,400 tickets were sold, all at reduced price. During the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. If the total number of tickets sold Q was 25,200, how many of them were sold at full price? Answer Choice: (A) 21,000 (B) 19,800 (C) 16,500 (D) 15,800 (E) 8,700
Answer: C
When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 38, what is the remainder when k is divided by 7? Answer Choice: (A) 2 (B) 4 (C) 3 (D) 5 (E) 6
Answer: C
Two drivers began their journey with the same amount of petrol in their cars at the same time. The only difference is that the first driver�s car could drive 4 hours in that amount of petrol and the second one could drive 5 hours.
However, they only drove for some time and found that the amount of petrol that was left in one of the cars was four times the petrol left in the other one.
For how long had they driven at this point of time? Answer Choice: (A) 3.75 hours (B) 5.45 hours (C) 7.10 hours (D) 4.75 hours (E) 3.33 hours
Answer: A
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required? Answer Choice: (A) 44ft (B) 88ft (C) 22ft (D) 11ft (E) 66ft
Answer: B
Three bells chime at intervals of 18 min., 24 min. and 32 min. respectively. At a certain time they begin together. What length L of time will elapse before they chime together again? Answer Choice: (A) 2 hr. and 24 min. (B) 4 hr. and 48 min. (C) 1 hr. and 36 min. (D) 5 hr. (E) 2 hr.
Answer: B
Last year Elaine spent 20% of her annual earnings on rent. This year she earned 15% more than last year and she spent 25% of her annual earnings on rent. The amount she spent on rent this year is what percent of the amount spent on rent last year? Answer Choice: (A)  152.5 (B)  143.75 (C)  155.5 (D)  165.5 (E)  117.5
Answer: B
The length of the bridge, which a train 150 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Answer Choice: (A) 328 (B) 279 (C) 225 (D) 288 (E) 211
Answer: C
A box contains 20 balls, numbered from 1 to 20. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd? Answer Choice: (A) 1/4 (B) 3/8 (C) 1/2 (D) 5/8 (E) 3/4
Answer: A
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 40 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 12 (E) 16
Answer: C
On a certain date, Pat invested $10,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 12 years will be $40,000, in how many years, the total value of the investment plus interest will increase to $240,000? Answer Choice: (A) 27 (B) 16 (C) 18 (D) 20 (E) 24
Answer: A
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A? Answer Choice: (A) 3 (B) 6 (C) 24 (D) 120 (E) 12
Answer: B
If â€˜NAGALANDâ€™ is coded as â€˜EAGACAEDâ€™, then â€˜ODISHAâ€™ is coded as Answer Choice: (A) FDIHJA (B) FIDHAJ (C) FDIHAJ (D) FIDJHA (E) FDIJHA
Answer: E
A certain ski shop sells pairs of gloves in 11 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color? Answer Choice: (A) 1/144 (B) 1/143 (C) 1/21 (D) 1/23 (E) 1/12
Answer: C
If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number? Answer Choice: (A) 1:2 (B) 2:3 (C) 5:3 (D) 3:7 (E) 9:13
Answer: C
Last month, John rejected 0.7% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect? Answer Choice: (A) 1/6 (B) 1/2 (C) 5/8 (D) 5/6 (E) 15/16
Answer: B
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 112. What was the number he chose? Answer Choice: (A) 123 (B) 267 (C) 125 (D) 267 (E) 120
Answer: C
A trader has 1600Kg of sugar. He sells a part at 8% profit and the rest at 12% profit. If he gains 11%
on the whole , find the quantity sold at 12%. Answer Choice: (A) 1200 Kg (B) 1400 Kg (C) 1600 Kg (D) 800 Kg (E) None of these
Answer: A
Tom planted vegetables in a rectangular garden that was 24 feet long and 15 feet wide. He used
1/3 of the area for corn and 1/5 of it for peas. How many square feet are left for other vegetables? Answer Choice: (A) 165 sq. ft. (B) 166 sq. ft. (C) 167 sq. ft. (D) 168 sq. ft. (E) 169 sq. ft.
Answer: D
Six bells commence tolling together and toll at the intervals of 2,4,6,8,10,12 seconds resp. In 60 minutes how many times they will toll together. Answer Choice: (A) 15 (B) 16 (C) 30 (D) 31 (E) 32
Answer: D
0.003 * ? * 0.0003 = 0.00000027 Answer Choice: (A) 9 (B) 3 (C) 0.3 (D) 0.03 (E) None of these
Answer: C
Two sets A and B consists only of positive integers such that mean of set A is 70 . If set R consist of all the elements of both A and B such that mean of R is 80 then the mean of set B is => Answer Choice: (A) [A] 65 (B) [B] 60 (C) [C] 70 (D) [D] 55 (E) [E] cannot be determined
Answer: E
A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 8 miles per gallon, and from Town B to Town C, the car averaged 18 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C? Answer Choice: (A) 13 (B) 15.5 (C) 14 (D) 14.5 (E) 15
Answer: B
The Fisherman sale, all of the prices of the fishes sold were different. If the price of a radio sold at the fisherman sale was both the 4th highest price and the 13th lowest price among the prices of the fishes sold, how many fishes were sold at the fisherman sale? Answer Choice: (A) 13 (B) 14 (C) 15 (D) 41 (E) 16
Answer: E
Each of the following equations has at least one solution EXCEPT A. Is it true? Answer Choice: (A) -3*a = -3-a (B) 2*a = (–2)*-a (C) 2* -a = (–2)*a (D) (–2)-a = –2-a (E) -2*-a = 2a
Answer: A
A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 7 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete? Answer Choice: (A) 67/90 (B) 29/60 (C) 17/30 (D) 19/30 (E) 11/15
Answer: A
5+3 Answer Choice: (A) 8 (B) 13 (C) 28 (D) 6 (E) 2
Answer: A
A boy can reach a certain place in 15 hours. If he reduces his speed by 1/30th, he goes 4 km less in that time. Find his speed. Answer Choice: (A) 4 km/hr. (B) 6 km/hr (C) 8 km/hr (D) 14 km/hr (E) None of these
Answer: C