loafeihong/math_mmlu_format huggingface dataset:
A train ,120 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is Answer Choice: (A) 270 m (B) 255 m (C) 235 m (D) 220 m (E) 240 m
Answer: B
In how many different number of ways 8 men and 5 women can sit on a shopa which can accommodate persons? Answer Choice: (A) 200 (B) 1716 (C) 230 (D) 250 (E) 270
Answer: B
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 18 percent of revenues. The profits in 2009 were what percent of the profits in 2008? Answer Choice: (A) 80% (B) 105% (C) 120% (D) 144% (E) 138%
Answer: D
What is the area of square field whose side of length 15 m? Answer Choice: (A) 225 sq m (B) 286 sq m (C) 298 sq m (D) 267 sq m (E) 231 sq m
Answer: A
On a certain day, Tim invested $500 at 10 percent annual interest, compounded annually, and Lana invested 1,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years? Answer Choice: (A) $2.5 (B) $15 (C) $50 (D) $100 (E) $105
Answer: A
A train having a length of 1/4 mile , is traveling at a speed of 75 mph. It enters a tunnel 3 ½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges? Answer Choice: (A) 3 min (B) 4.2 min (C) 3.4 min (D) 5.5 min (E) 5.7 min
Answer: A
10 books are placed at random in a shelf. The probability that a pair of books will always be together is ? Answer Choice: (A) 1/9 (B) 1/6 (C) 1/5 (D) 1/0 (E) 1/1
Answer: C
A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 7 consecutive spaces in a random direction, what is the probability R the piece ends no more than 7 spaces from the square numbered 49? Answer Choice: (A)  7% (B)  8% (C)  14% (D)  15% (E)  28%
Answer: E
Jacob is 12 years old. He is 3 times as old as his brother. How old will Jacob be when he is twice as old? Answer Choice: (A) 13 (B) 14 (C) 15 (D) 16 (E) 17
Answer: D
A train 100 m long crosses a platform 100 m long in 12 sec; find the speed of the train? Answer Choice: (A) 60 kmph (B) 65 kmph (C) 54 kmph (D) 16 kmph (E) 18 kmph
Answer: A
A company consists of 10 senior and 10 junior staff officers. If a committee is created with 3 senior and 2 junior staff officers, in how many ways can the committee be formed? Answer Choice: (A)  4500 (B)  3500 (C)  4800 (D)  5400 (E)  2400
Answer: D
Can Z and can В are both right circular cylinders. The radius of can Z is twice the radius of can B, while the height of can Z is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can Z with the same brand of gasoline? Answer Choice: (A)  $1 (B)  $2 (C)  $4 (D)  $8 (E)  $16
Answer: E
If annual decrease in the population of a town is 5% and the present number of people is 40000 what will the population be in 2 years? Answer Choice: (A) 24560 (B) 26450 (C) 36100 (D) 38920 (E) 45200
Answer: C
In Town P, 60 percent of the population are employed, and 45 percent of the population are employed males. What percent of the employed people in Town P are females? Answer Choice: (A) 20% (B) 25% (C) 30% (D) 35% (E) 40%
Answer: B
If 12 ounces of a strong vinegar solution are diluted with 48 ounces of water to form a three-percent vinegar solution, what was the concentration of the original solution? Answer Choice: (A) 15% (B) 18% (C) 20% (D) 21% (E) 24%
Answer: A
The ratio of the present age of Sandy to that of Molly is 7:2. Twelve years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago? Answer Choice: (A) 39 (B) 45 (C) 51 (D) 57 (E) 63
Answer: D
Point (c,d) is on the circle represented by x^2+y^2=10, and c, d are integers. How many such points are possible? Answer Choice: (A) 0 (B) 2 (C) 4 (D) 6 (E) 8
Answer: E
A customer using a certain telephone calling plan pays a fee of $25 per month, and then receives a discount of 40% on the regular charge for all calls made to country X. If calls to country X are regularly charged at $1.60 per minute for the first 3 minutes, and $0.80 per minute for each minute thereafter, what is the maximum the customer could have saved over regular prices if he was charged for 1 hour of calls made to country X in a certain month? Answer Choice: (A) $8.75 (B) $12 (C) $13.40 (D) $17.40 (E) $24.40
Answer: C
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 5 screws and 1 nails? Answer Choice: (A) a. 4 (B) b. 5/2 (C) c. 2 (D) d. 3/2 (E) e. 5/4
Answer: D
What is 15% of 2/3 of 0.5? Answer Choice: (A) 0.05 (B) 0.9 (C) 9 (D) 90 (E) None of the above
Answer: A
A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water? Answer Choice: (A) 2 litres (B) 3 litres (C) 5 litres (D) 7 litres (E) 8 litres
Answer: A
A train speeds past a pole in 15 sec and a platform 100 m long in 25 sec, its length is? Answer Choice: (A) 298 (B) 150 (C) 2776 (D) 1888 (E) 177
Answer: B
we have 3 weights one of 2 kg one of 3 kg one of 5 kg by using only two weight how many wight u can weight Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: C
shopkeeper bought 400 meter cloths at rs 40,000 and sell at 200 rs per one and half mtr cloths. what is the gain or loss percent? Answer Choice: (A) 34.33% Profit (B) 33.33% Profit (C) 36.33% Profit (D) 39.33% Profit (E) 43.33% Profit
Answer: B
Which of the list following is a prime number ? Answer Choice: (A) 29 (B) 81 (C) 91 (D) 93 (E) 10
Answer: A
A fast train takes 3 hours less than a slow train for a journey of 600 km, If the speed of the slow train is 10 km/hr less than that of the fast train, the speeds of the two trains are Answer Choice: (A) 60 km/hr and 70 km/hr (B) 50 km/hr and 60 km/hr (C) 40 km/hr and 50 km/hr (D) None of these (E) 30 km/hr and 40 km/hr
Answer: C
At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses E at the restaurant? (Assume that all boxes are filled to capacity.) Answer Choice: (A) 96 (B) 240 (C) E=256 (D) E=384 (E) E=480
Answer: E
The area of the largest circle that can be drawn inside a rectangle with sides 18cm by 14cm is Answer Choice: (A) 237 (B) 154 (C) 2376 (D) 198 (E) 171
Answer: B
Ashok secured average of 76 marks in 6 subjects. If the average of marks in 5 subjects is 74, how many marks did he secure in the 6th subject? Answer Choice: (A) 38 (B) 27 (C) 99 (D) 17 (E) 86
Answer: E
In expressing a length of 25.461 km as nearly as possible with the three significant digits, find the percentage error Answer Choice: (A) 0.353% (B) 0.153% (C) 0.035% (D) 0.015% (E) None of these
Answer: B
Paul sells encyclopedias door-to-door. He earns $40 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows:
Commission Sales
10% $0.00 - $10,000.00
5% $10,000.01 --->
He does not earn double commission.That is, if his sales are $12,000, he earns 10% on the first $10,000 and 5% on the remaining $2,000.
His largest paycheck of the year was $1,320. What were his sales for that pay period? Answer Choice: (A) 13,200 (B) 14,800 (C) 14,900 (D) 15,600 (E) 19,600
Answer: D
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%? Answer Choice: (A) 7 (B) 8 (C) 6 (D) 9 (E) 2
Answer: B
By how much is three-fifth of 380 greater than four-seventh of 210 ? Answer Choice: (A) 90 (B) 100 (C) 108 (D) 120 (E) 130
Answer: C
A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? Answer Choice: (A) 1/2 (B) 10/21 (C) 9/11 (D) 7/11 (E) 5/11
Answer: B
there are 5 envelope and 5 letters placed at random. what is the probability that no single letter is placed in the right envelope Answer Choice: (A) 117/120 (B) 118/120 (C) 119/120 (D) 116/120 (E) 115/120
Answer: C
kareena, Saif, and a puppy start walking down a road.
They start at the same time, from the same point, in the same direction.
The saif walks at 5 miles/hour
kareena at 6 miles/hour.
The puppy runs from saif to kareena and back again with a constant speed of 10 miles/hour.
The puppy does not slow down on the turn.
How far does the puppy travel in 1 hour? Answer Choice: (A) 10 miles (B) 14 miles (C) 12 miles (D) 20 miles (E) 30 miles
Answer: A
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 46.24, the number of the member is the group is: Answer Choice: (A) 57 (B) 68 (C) 77 (D) 87 (E) 97
Answer: B
For a construction,15 peoples are working. But constructor wants extra 3 people out of 5 people.What is possible selection? Answer Choice: (A) 10 (B) 5 (C) 7 (D) 8 (E) 6
Answer: A
Of the 120 passengers on Flight 750, 60% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class? Answer Choice: (A) 44 (B) 48 (C) 50 (D) 64 (E) 56
Answer: D
John and Jacob set out together on bicycle traveling at 18 and 15 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 18 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible) Answer Choice: (A) 3 (B) 3 1/3 (C) 3 1/2 (D) 4 (E) 4 1/3
Answer: E
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A necklace is made by stringing C individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then C could equal Answer Choice: (A) 16 (B) 32 (C) 41 (D) 54 (E) 58
Answer: E
If the quantity (p − 25) is 5 times the quantity (q − 5), then what is the relationship between p and q? Answer Choice: (A) p = 5q + 30 (B) p = 5q − 30 (C) 5p = q + 20 (D) p = 5q (E) p = 5q − 20
Answer: D
Three cubes of metal whose edges are 9, 12 and 18 cm respectively, are melted and one new cube is made. Find the edge of the new cube? Answer Choice: (A) 20.2 (B) 77 (C) 66 (D) 18 (E) 99
Answer: A
If 80 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly? Answer Choice: (A) 60 % (B) 65 % (C) 70% (D) 75% (E) 80%
Answer: A
36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work? Answer Choice: (A) 18 (B) 24 (C) 22 (D) 20 (E) 19
Answer: B
It takes Joey the postman 1 hours to run a 2 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 3 mile/hour, what is the speed with which Joey returns? Answer Choice: (A) 1 (B) 6 (C) 13 (D) 14 (E) 15
Answer: B
John,David and Xavier enter into partnership. John invests some money at the beginning, David invests double the amount after 6 months, and Xavier invests thrice the amount after 8 months. If the annual gain be Rs.24000. John's share is? Answer Choice: (A) 7500 (B) 7250 (C) 8000 (D) 8200 (E) 8100
Answer: C
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science? Answer Choice: (A) 18 (B) 76 (C) 12 (D) 17 (E) 13
Answer: A
Maths, Physics and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. Among all the books, 12 books are soft cover and the remaining are hard-cover. If there are a total of 7 hard-cover books among the maths and physics books. What is the probability R, that a book selected at random is either a hard cover book or a chemistry book? Answer Choice: (A) 1/10 (B) 3/20 (C) 1/5 (D) 1/4 (E) 9/20
Answer: E
The average mark obtained by 23 candidates in an examination is 45. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ? Answer Choice: (A) 26 (B) 45 (C) 90 (D) 80 (E) 65
Answer: B
When asked what the time is,a person answered that the amount of time left is 1/2 of the time already completed.what is the time. Answer Choice: (A) 2 PM (B) 9 PM (C) 3 PM (D) 4 PM (E) 6 PM
Answer: D
If x is to be chosen at random from the set {5,6,7,8} and y is to be chosen at random from the set {3,4,5}, what`s the probability that xy will be even? Answer Choice: (A) 1/6 (B) 1/3 (C) 1/2 (D) 5/6 (E) 2/3
Answer: E
How many prime numbers between 50 to 100? Answer Choice: (A) 11 (B) 10 (C) 15 (D) 14 (E) 12
Answer: B
The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 23hrs. How much distance will the car cover in 7hrs if the speed of the bike is twice speed of the tractor? Answer Choice: (A) 400 km (B) 500 km (C) 360 km (D) 550 km (E) 630 km
Answer: E
A,B,C together can do a work in 12 days. A alone can do the work in 45 days and B alone can do the same work in 55 days. Find in what time C alone can do that work? Answer Choice: (A) 28.80days (B) 17days (C) 23.29days (D) 30days (E) 33.20days
Answer: C
There are 1200 military people in a division of the army. There is one Officer for every 15 soldiers in that division. Now the question is how many officers are in the division? Answer Choice: (A) 22 (B) 35 (C) 37 (D) 73 (E) 75
Answer: E
x2 + bx + 72 = 0 has two distinct integer roots; how many values are possible for 'b'? Answer Choice: (A) 3 (B) 12 (C) 6 (D) 24 (E) 8
Answer: B
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made? Answer Choice: (A) Rs.16.57 (B) Rs.16.29 (C) Rs.16.20 (D) Rs.16.50 (E) Rs.16.27
Answer: D
The area of a circular field is 13.86 hectares. Find the cost of fencing it at the rate of Rs. 4.50 per metre. Answer Choice: (A) 2399 (B) 3888 (C) 2999 (D) 5940 (E) 2888
Answer: D
A can do a work in 3 days. B can do the same work in 6 days. Both A&B together will finish the work and they got $1000 from that work. Find their shares? Answer Choice: (A) 600,400 (B) 500,500 (C) 300,700 (D) 800,200 (E) 200,400
Answer: E
The price of a T.V. set worth Rs. 15000 is to be paid in 20 installments of Rs. 2000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be? Answer Choice: (A) 29997 (B) 28088 (C) 27098 (D) 13000 (E) 2799
Answer: D
In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)? Answer Choice: (A) 27,0 (B) 54,2 (C) 49/2, 54 (D) 49, 27 (E) 49, 29
Answer: A
A ranch has both horses and ponies. Exactly 3/10 of the ponies have horseshoes, and exactly 5/8 of the ponies with horseshoes are from Iceland. If there are 4 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch? Answer Choice: (A) 116 (B) 132 (C) 148 (D) 164 (E) 180
Answer: D
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is? Answer Choice: (A) 44% (B) 45% (C) 50% (D) 55% (E) 60%
Answer: A
In Town X, 65 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females? Answer Choice: (A) 16% (B) 27% (C) 32% (D) 40% (E) 52%
Answer: B
If x and y are integers and |x - y| = 12, what is the minimum possible value of xy? Answer Choice: (A) -12 (B) -18 (C) -24 (D) -36 (E) -48
Answer: D
A train crosses a post in 15 seconds and a platform 100 m long in 25 seconds. Its length is Answer Choice: (A) 75 (B) 100 (C) 125 (D) 175 (E) 150
Answer: E
John completes a piece of work in 10 days, Rose completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is? Answer Choice: (A) 5 days (B) 8 days (C) 10 days (D) 12 days (E) 14 days
Answer: B
In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together? Answer Choice: (A) 3!*8!*4!*4! Ways (B) 8!*4!*4! Ways (C) 3!*8!*4!*Ways (D) 3!*4!*4! Ways (E) 4!*4! Ways
Answer: A
Find the number of ways in which 5 different beads can be arranged to form a necklace. Answer Choice: (A) 30 (B) 20 (C) 12 (D) 60 (E) 80
Answer: C
What is the difference between the local value of 7 and 5 in the number 2574? Answer Choice: (A) 430 (B) 377 (C) 288 (D) 277 (E) 112
Answer: A
A teacher randomly selects 3 students to clean the classroom. There are 6 girl and 4 boy students in the class. What is the probability the teacher will select exactly 2 girls? Answer Choice: (A) 3/7 (B) 7/11 (C) 1/3 (D) 2/5 (E) 2/3
Answer: E
This year, MBB Consulting fired 6% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction? Answer Choice: (A) 98.5% (B) 100.0% (C) 102.8% (D) 103.4% (E) 105.0%
Answer: D
In one can of mixed nuts, 20% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts? Answer Choice: (A) 16 2/3% (B) 26 2/3% (C) 25% (D) 33 1/3% (E) 35%
Answer: B
A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets Answer Choice: (A) 40% (B) 50% (C) 65% (D) 70% (E) 75%
Answer: B
The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? Answer Choice: (A) 22 kmph (B) 40 kmph (C) 20 kmph (D) 15 kmph (E) 23 kmph
Answer: C
On increasing the price of T.V. sets by 40%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ? Answer Choice: (A) 4 (B) 5 (C) 56 (D) 12 (E) 7
Answer: D
If 4log(4*5^2) = x, find x Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9
Answer: D
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is? Answer Choice: (A) 12 % (B) 8 % (C) 9 % (D) 10% (E) 4%
Answer: E
A sum of money is sufficient to pay P's wages for 24 days and Q's wages for 40 days. The same money is sufficient to pay the wages of both for? Answer Choice: (A) 12 (B) 13 (C) 14 (D) 15 (E) 16
Answer: D
6 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2candidates. In how many ways can one cast his vote? Answer Choice: (A) 11 (B) 12 (C) 25 (D) 36 (E) 47
Answer: D
A bat is bought for Rs.400 and sold at a gain of 20% find its selling price? Answer Choice: (A) Rs.460/- (B) Rs.480/- (C) Rs.500/- (D) Rs.520/- (E) Rs.540/-
Answer: B
A university needs to select an eight-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 10 members, the student advisory board consists of 8 members, and 6 students hold membership in both organizations, how many different committee are possible? Answer Choice: (A) 72 (B) 110 (C) 220 (D) 495 (E) 1096
Answer: D
How much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction? Answer Choice: (A) 50 (B) 99 (C) 88 (D) 76 (E) 12
Answer: A
January 1, 2004 was a Thursday, what day of the week lies on January 1 2005. Answer Choice: (A) Saturday (B) Monday (C) Saturday (D) Tuesday (E) Wednesday
Answer: C
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places? Answer Choice: (A) 125 (B) 144 (C) 516 (D) 143 (E) 142
Answer: B
Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit? Answer Choice: (A) 5.09% (B) 5.9% (C) 5.6% (D) 3.6% (E) 78.6%
Answer: C
If the probability of rain on any given day in Chicago during the summer is 50%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 9 inclusive? Answer Choice: (A) 3/16 (B) 5/16 (C) 7/32 (D) 11/32 (E) 17/64
Answer: B
What least number must be subtracted from 427398 so that remaining no.is divisible by 12 Answer Choice: (A) 3 (B) 5 (C) 6 (D) 7 (E) 8
Answer: C
By selling 18 pencils for a rupee a man loses 15%. How many for a rupee should he sell in order to gain 15%? Answer Choice: (A) 8 (B) 9 (C) 10 (D) 89 (E) 81
Answer: B
Which of the following are/is prime?
I. 143
II. 147
III. 149 Answer Choice: (A) II only (B) III only (C) I & II (D) I & III (E) I, II, & III
Answer: B
John is driving A Royal Enfield motor cycle at 66 km per hour when his rest duration is not considered. He takes small breaks each of 1 minute for every 10 minute of his drive. How much distance will the motor cycle cover in 90 minutes? Answer Choice: (A) 89.9Km (B) 89.1Km (C) 89.2Km (D) 89.3Km (E) 89.8Km
Answer: B
If nn is a positive integer and (n+1)(n+3)(n+1)(n+3) is odd, then (n+2)(n+4)(n+2)(n+4) must be a multiple of which one of the following? Answer Choice: (A) 2 (B) 6 (C) 7 (D) 8 (E) 9
Answer: D
John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is? Answer Choice: (A) 50 (B) 58 (C) 60 (D) 65 (E) 70
Answer: A
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 57 kmph, find the speed of the stream? Answer Choice: (A) 15 (B) 17 (C) 19 (D) 18 (E) 16
Answer: C
If 5% of a number is equal to one-third of another number, what is the ratio of first number to the second number? Answer Choice: (A) 2:5 (B) 20:3 (C) 3:7 (D) 6:11 (E) 2:3
Answer: B
If a farmer sells 5 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 10 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have? Answer Choice: (A) 12 (B) 24 (C) 20 (D) 55 (E) 60
Answer: C
If a·b·c·d=450, where a, b, c and d are positive integers, and a<b<c<d, which of the following could be the value of d−a? Answer Choice: (A) 9 (B) 10 (C) 11 (D) 13 (E) 15
Answer: D
A crate measures 3 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit in the crate? Answer Choice: (A) 27 (B) 3 (C) 6 (D) 8 (E) 12
Answer: B
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is? Answer Choice: (A) 2 2 ½ kmph (B) 6 2 ½ kmph (C) 5 2 ½ kmph (D) 2 8 ½ kmph (E) 6 5 ½ kmph
Answer: A