loafeihong/math_mmlu_format huggingface dataset:
In a lottery, there are 10 prizes and 30 blanks. A lottery is drawn at random. What is the probability of getting a prize? Answer Choice: (A) 1/10 (B) 2/5 (C) 2/7 (D) 1/4 (E) None
Answer: D
James takes a trip and drives 7 hours from Town A to Town C at a rate of 30 miles per hour. On his way back, James drives 60 miles per hour and stops in Town B which is midway between Town A and Town C. How many hours does it take James to drive from Town C to Town B? Answer Choice: (A) 1.25 (B) 1.75 (C) 1.51 (D) 1.55 (E) 2.12
Answer: B
The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to: Answer Choice: (A) 0.4 (B) 0.004 (C) 0.04 (D) 0.0004 (E) None of them
Answer: C
Students at a school were on average 180 cm tall. The average female height was 170 cm, and the average male height was 186 cms. What was the ratio of men to women? Answer Choice: (A)  5:2 (B)  5:1 (C)  5:3 (D)  4:1 (E)  3:1
Answer: C
Find the one which does not belong to that group ? Answer Choice: (A) 117 (B) 121 (C) 727 (D) 188 (E) 122
Answer: B
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of Sameer in the profit? Answer Choice: (A) 2388 (B) 2380 (C) 2385 (D) 2383 (E) 2381
Answer: B
A cylinder has a diameter of 20 meters and a height of 15 meters. If it is filled to capacity with oil and the content is poured into smaller cylinders of 4 meter radius and 10 meter height, how many smaller cylinders will be filled to capacity? Answer Choice: (A) 11 (B) 5 (C) 2 (D) 2 (E) 3
Answer: E
Jamshid and Irwin decided to make up their own version of basketball. In addition to being able to score 2-point baskets, they created ways to score 5-, 11-, and 13-point baskets. If at halftime the product of the point values of Irwin’s baskets was 2,420, how many 11-point baskets did Irwin score? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: C
I had Rs. 10,000 with me. Out of this, money I lent some money to A for 2 years at 15% simple interest. I lent the remaining money to B for an equal number of years at 18% simple interest. After 2 years, I found that A had given me Rs. 360 more as interest as compared to(b) the amount of money which I had lent to B must have been Answer Choice: (A) 2,000 (B) 3,000 (C) 4,000 (D) 5,000 (E) 6,000
Answer: C
A man can row his boat with the stream at 16 km/h and against the stream in 12 km/h. The man's rate is? Answer Choice: (A) 8 kmph (B) 9 kmph (C) 2 kmph (D) 4 kmph (E) 1 kmph
Answer: C
Which of the following integers is a divisor of(15!+10)? Answer Choice: (A) 15 (B) 4 (C) 3 (D) 10 (E) 9
Answer: D
The cost of producing x tools by a company is given by
C(x) = 1800 x + 5500 (in $)
a) What is the cost of 100 tools? Answer Choice: (A) 185500 $ (B) 185800 $ (C) 185900 $ (D) 186500 $ (E) 182500 $
Answer: A
The mean of 30 values was 180. It was detected on rechecking that one value 155 was wrongly copied as 135 for the computation of the mean. Find the correct mean. Answer Choice: (A) 151 (B) 149 (C) 152 (D) 148 (E) 180.67
Answer: E
If x and y are integers, what is the least positive number of 24x+21y? Answer Choice: (A) 3 (B) 5 (C) 6 (D) 8 (E) 9
Answer: A
What is the sum of all possible 3-digit numbers that can be constructed using the digits 1, 2, and 4 if each digit can be used only once in each number? Answer Choice: (A) 1210 (B) 1221 (C) 1332 (D) 1443 (E) 1554
Answer: E
Find the greatest number that will divide 40, 60 and 120 so as to leave the same remainder in each case. Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: A
A committee of three people is to be chosen from four married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee? Answer Choice: (A) 16 (B) 24 (C) 26 (D) 30 (E) 32
Answer: E
find out how many positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number? Answer Choice: (A) 4 (B) 5 (C) 9 (D) 10 (E) 11
Answer: B
A side of beef lost 35 percent of its weight in processing. If the side of beef weighed 580 pounds after processing, how many pounds did it weigh before processing? Answer Choice: (A)  191 (B)  355 (C)  737 (D)  892 (E)  1,560
Answer: D
Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $78.2 after it went on sale for 15% off, what is the difference between the original price and the final price? Answer Choice: (A) $0.00 (B) $5.75 (C) $3.40 (D) $5.00 (E) $6.80
Answer: B
The area of a triangle is with base 4m and height 5m? Answer Choice: (A) 10 (B) 20 (C) 30 (D) 15 (E) 11
Answer: A
Three coworkers P , J , R meet for Dinner. P had 5 sandwiches, J had 3 and R had none. Both PJ share their sandwiches with R such that each one got the same amount. If R paid $ 8 to PJ, how much of $ 8 should P get? Assume both sandwiches and Dollars can be split. Answer Choice: (A) a) 5$ (B) b) 3 $ (C) c) 7 $ (D) d) 4 $ (E) e) 5.5 $
Answer: C
A certain league has two divisions. The respective divisions had 7 and 9 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion? Answer Choice: (A)  30 (B)  31 (C)  34 (D)  36 (E)  38
Answer: B
Jill is dividing her eight-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible? Answer Choice: (A) 10 (B) 35 (C) 126 (D) 252 (E) 630
Answer: B
Ram can do a piece of work in 8 days which Shyam can finish in 12 days. If they work at it on alternate days with Ram beginning, in how many days, the work will be finished? Answer Choice: (A) 9 1/3 (B) 9 1/2 (C) 9 1/4 (D) 10 1/3 (E) 11 1/3
Answer: B
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1.8 cm when a man gets on it. The mass of man is Answer Choice: (A) 12 kg (B) 60 kg (C) 108 kg (D) 96 kg (E) None
Answer: C
John has on his shelf four books of poetry, four novels, and three reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work? Answer Choice: (A) 1/2 (B) 12/55 (C) 3/10 (D) 7/20 (E) 8/45
Answer: B
What is the sum of all 5 digit numbers which can be formed with the digits 0,1,2,3,4 without repetation? Answer Choice: (A) 2599980 (B) 235500 (C) 923580 (D) 765432 (E) 765434
Answer: A
The arithmetic mean of set P is zero. If Q = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of P consisting of all those elements in P which are more than two but less than three standard deviations away from the arithmetic mean of P, what could be equal to the standard deviation of P? Answer Choice: (A) 0.54 (B) 0.77 (C) 0.82 (D) 0.97 (E) 1.62
Answer: B
A train 360 m long passed a pole in 30 sec. How long will it take to pass a platform 780 m long? Answer Choice: (A) 76 sec (B) 89 sec (C) 87 sec (D) 95 sec (E) 16 sec
Answer: D
The following questions are based on the information given below:
1)A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
2)Two sides measuring 5 cm x 4 cm are coloured in red.
3)Two faces measuring 4 cm x 3 cm are coloured in blue.
4)Two faces measuring 5 cm x 3 cm are coloured in green.
5)Now the block is divided into small cubes of side 1 cm each.
How many small cubes will have will have three faces coloured ? Answer Choice: (A) 14 (B) 8 (C) 10 (D) 12 (E) 16
Answer: B
A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 40 days as before. How many of them left? Answer Choice: (A) 100 (B) 0 (C) 200 (D) 400 (E) 500
Answer: B
If the order of the letter in the English alphabet is reversed which letter will be the seventh to right of the twelfth letter from the right? Answer Choice: (A) E (B) V (C) F (D) U (E) T
Answer: A
The proportion of copper and zinc in the brass is 3:7. How much zinc will there be in 100 kg of brass? Answer Choice: (A) 70 (B) 50 (C) 40 (D) 270 (E) 170
Answer: A
A meal cost $ 36.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be: Answer Choice: (A) 40-42 (B) 39-41 (C) 38-40 (D) 37-39 (E) 36-37
Answer: A
If a square mirror has a 20-inch diagonal, what is the approximate perimeter Q of the mirror, in inches? Answer Choice: (A)  40 (B)  60 (C)  80 (D)  100 (E)  120
Answer: B
The cost price of a radio is Rs.2550 and it was sold for Rs.2130, find the loss %? Answer Choice: (A) 18 (B) 10 (C) 15 (D) 66 (E) 41
Answer: C
Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class? Answer Choice: (A) 60% (B) 50% (C) 25% (D) 15% (E) 10%
Answer: D
n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4? Answer Choice: (A) 3 (B) 2 (C) 1 (D) 0 (E) None of these
Answer: B
The area of a rectangular plot is 21 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth? Answer Choice: (A) 10 metres (B) 5 metres (C) 11 metres (D) Data inadequate (E) None of these
Answer: C
Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks? Answer Choice: (A) 29 (B) 38 (C) 39 (D) 37 (E) 75
Answer: E
Find the remainder when 6^50 is divided by 215 Answer Choice: (A) 36 (B) 99 (C) 27 (D) 99 (E) 17
Answer: A
complete the numerical series with the correct number
5+2+2=101018
9+3+4=273660
8+2+3=162438
5+2+5=102533
7+5+5= ? Answer Choice: (A) 468645 (B) 454586 (C) 454585 (D) 454386 (E) 353565
Answer: E
Lionel left his house and walked towards Walt's house, 48 miles away. Four hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 3 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt? Answer Choice: (A) 12 (B) 16 (C) 20 (D) 24 (E) 28
Answer: D
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.80 less, he could have gained 25%. What is the cost price? Answer Choice: (A) 372 (B) 375 (C) 278 (D) 400 (E) 288
Answer: D
Which of the following is not a prime number ? Answer Choice: (A) 743 (B) 740 (C) 751 (D) 757 (E) 853
Answer: B
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 7 ounces of corn syrup, how many ounces of water does it contain? Answer Choice: (A) 45 (B) 50 (C) 55 (D) 60 (E) 105
Answer: E
a1, a5, a13 (terms of AP) are in GP and a6 + a15 =63. Find a23 Answer Choice: (A) 181/3 (B) 182/3 (C) 183/3 (D) 184/3 (E) 182/5
Answer: B
A, B, C together started a business. A invested Rs.2000 for 5 months B invested Rs.8000 for 6 months and C Rs.14000 for 3 months. If they get a total profit of Rs.2500. Find the share of A? Answer Choice: (A) 2999 (B) 3000 (C) 2777 (D) 2999 (E) 250
Answer: E
(800/64) x (1296/36)=? Answer Choice: (A) 420 (B) 460 (C) 500 (D) 540 (E) None of them
Answer: E
If 3x – 5y = 5 and x/x+y=5/7, then what is the value of x – y? Answer Choice: (A) 9 (B) 6 (C) 4 (D) 3 (E) None of these
Answer: D
In shop contains 500 articles each of a cost of $10. He sold them at a price of $13. If the shop keeper has a order of 200 articles, how much profit he will get? Answer Choice: (A) A)200 (B) B)2000 (C) C)1500 (D) D)600 (E) E)700
Answer: D
The speed of a boat in still water in 18 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 14 minutes is: Answer Choice: (A) 11.4 km (B) 10.9 km (C) 10.4 km (D) 6.06 km (E) 12.56 km
Answer: D
If x + y + z + w = 15, then at least k of the numbers x, y, z, w must be positive, where k is : Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: B
A rectangular table seats 5 people on each of two sides, with every person directly facing another person across the table. If 10 people choose their seats at random, what is probability that person P directly faces person Q? Answer Choice: (A) 1/10 (B) 1/9 (C) 1/8 (D) 1/7 (E) 1/6
Answer: B
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m? Answer Choice: (A) 187.5 m (B) 127.5 m (C) 277.5 m (D) 727.5 m (E) 777.5 m
Answer: B
In an objective test, a correct answer scores 4 marks, and a wrong answer scores 2 marks. A student scores 480 marks from 150 questions. how many answers are correct? Answer Choice: (A) 90 (B) 80 (C) 70 (D) 60 (E) 50
Answer: A
By using the numbers 1, 2, 5, 7 and 9 only once, how many five digit numbers can be made that are divisible by 25? Answer Choice: (A) 11 (B) 12 (C) 5 (D) 10 (E) 9
Answer: B
When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 75. Answer Choice: (A) 3 (B) 4 (C) 12 (D) 32 (E) 35
Answer: E
What percent of 120 are 90? Answer Choice: (A) 78% (B) 85% (C) 75% (D) 72% (E) 23%
Answer: C
If p=125×243×16/405, how many digits are in p? Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
If x<0, y>0, and |x| < |y|, which of the following must be true? Answer Choice: (A) x > y (B) y^2 > x^2 (C) x^3 > y^2 (D) –x > y (E) x < –y
Answer: D
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is? Answer Choice: (A) 8 ml (B) 6 ml (C) 3 ml (D) 4 ml (E) 2 ml
Answer: B
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than or equal to 60% marks is Answer Choice: (A) 4 (B) 3 (C) 2 (D) 1 (E) 5
Answer: B
9, 16, 19, 25, 36,49 Answer Choice: (A) 9 (B) 16 (C) 19 (D) 25 (E) 36
Answer: C
Prizes totaling $ 55,000 were awarded unequally between 3 contestants. Which of the following choices could be the highest prize? Answer Choice: (A) (a) $5,000 (B) (b) $10,000 (C) (c) $15,000 (D) (d) $20,000 (E) (e) $65,000
Answer: D
Let f(x) = x4 – 8x3 + 16x2 – 19 and g(x) = x - 5. Find f(x)/g(x) Answer Choice: (A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Answer: C
A circular wire of radius 42cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6:5. The smaller side of the rectangle is: Answer Choice: (A) 30cm (B) 60cm (C) 72cm (D) 132cm. (E) 142cm.
Answer: B
In how many different ways can 5 girls and 5 boys form a circle such that the boys and the girls alternate? Answer Choice: (A) 2880 (B) 1400 (C) 1200 (D) 3212 (E) None of these
Answer: A
Less than half of a committee that is to be formed out of certain group, are to be men. If there are 100 possible ways of forming the committee, then the number of men in the committee can be, Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) cannot be determined
Answer: A
A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction? Answer Choice: (A) 8% (B) 9% (C) 10% (D) 11% (E) None
Answer: B
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 5%? Answer Choice: (A) 20% (B) 29% (C) 10% (D) 80% (E) 42.5%
Answer: E
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 840, what is the least possible value of n? Answer Choice: (A) 5 (B) 11 (C) 12 (D) 13 (E) 14
Answer: A
a clock hangs on the wall of a railway station,71ft 9in long and 10ft 4in high.those are the dimension of the wall,not the clock!while waiting for a train we noticed that the hands of the clock were pointing in opposite directions,and were parallel to one of the diagonals of the wall,what was the exact time ? Answer Choice: (A) 7:15 (B) 7:5 (C) 7:25 (D) 7:45 (E) 7:55
Answer: B
A rectangular plot measuring 90 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed? Answer Choice: (A) 46m (B) 66m (C) 26m (D) 56m (E) 25m
Answer: D
The sector of a circle has radius of 21 cm and central angle 90o. Find its perimeter? Answer Choice: (A) 91.5 (B) 75 (C) 93 (D) 94 (E) 95
Answer: B
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles. Answer Choice: (A) 4192 sq m (B) 4304 sq m (C) 4312 sq m (D) 4360 sq m (E) None of these
Answer: C
Tom bought 2 shares and sold them for $55 each. If he had a profit of 25% on the sale of one of the shares but a loss of 45% on the sale of the other share, then on the sale of both shares Tom had Answer Choice: (A)  a profit of $44 (B)  a loss of $44 (C)  a profit of $34 (D)  a loss of $34 (E)  neither a profit nor a loss
Answer: D
Mary and Mike enter into a partnership by investing $600 and $400 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $1000 more than Mike did, what was the profit made by their business in that year? Answer Choice: (A) $8500 (B) $9500 (C) $7000 (D) $7500 (E) $6500
Answer: D
A and B together can do a work In 8 days. A alone can do it in 12 days. What time B will take to do the work alone? Answer Choice: (A) 6 days (B) 8 days (C) 12 days (D) 24 days (E) 25 days
Answer: D
The average age of a man and his son is 28 years. The ratio of their ages is 3 :1 respectively. What is the man's age ? Answer Choice: (A) 30 years (B) 38 years (C) 44 years (D) 42 years (E) None of these
Answer: D
In an election between two candidates, the winner has a margin of 20% of the votes polled. If 3000 people change their mind and vote for the loser, the loser would have won by a margin of 20% of the votes polled. Find the total number of votes polled in the election? Answer Choice: (A) 15000 (B) 20000 (C) 30000 (D) 60000 (E) 45000
Answer: A
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 15 percent. The price of the item on day 3 is what percentage of the sale price on day 1? Answer Choice: (A) 28% (B) 40% (C) 64.8% (D) 76.5% (E) 72%
Answer: D
A shopkeeper buys mangoes at the rate of 7 a rupee and sells them at 5 a rupee. Find his net profit or loss percent? Answer Choice: (A) 40 % (B) 90 % (C) 33 % (D) 35 % (E) 30 %
Answer: A
If x is odd and y is odd, then xy, Answer Choice: (A) Odd (B) Odd whenever x-y is even (C) Even whenever x+y is odd (D) Even (E) It cannot be determined
Answer: A
find S.P when CP=56.25,gain=20%. Answer Choice: (A) Rs 66.50 (B) Rs 65.50 (C) Rs 67.50 (D) Rs 69.50 (E) Rs 68.50
Answer: C
A famous film director thought of an interesting story and he made a film in Hindi, Tamil and Telugu. He release the movie at the same time in all the three languages. The movie had Dhanush, Kamalhasan, Sruthi Hasan and Akdhsay Bachchan in lead role. The collections made was interesting to study. Collections in Hindi to Tamil and Tamil to Telugu was in the ratio 5: 4. If the collection made in language Tamil alone was Rs. 19753080, what was the total collection made. Answer Choice: (A) Rs.60246894 (B) Rs.26024689 (C) Rs.22602468 (D) Rs.22602469 (E) none of these.
Answer: A
A man invests some money partly in 15% stock at 105 and partly in 8% stock at 40.To obtain equal dividends from both,he must invest the money in the ratio : Answer Choice: (A) 3 : 4 (B) 3 : 5 (C) 7 : 5 (D) 16 : 15 (E) None
Answer: C
John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam three years ago? Answer Choice: (A) 2 (B) 3 (C) 6 (D) 8 (E) 16
Answer: B
A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 30% profit on the cost of the item? Answer Choice: (A) 18 (B) 21.6 (C) 22 (D) 25.7 (E) 27
Answer: D
169, 289, 361, 529, 841, ?, F ind the missing number(?). Answer Choice: (A) 930 (B) 789 (C) 961 (D) 920 (E) 788
Answer: C
The price of an item is discounted 2 percent on day 1 of a sale. On day 2, the item is discounted another 12 percent, and on day 3, it is discounted an additional 25 percent. The price of the item on day 3 is what percentage of the sale price on day 1? Answer Choice: (A) 66% (B) 67.5% (C) 69% (D) 70% (E) 72%
Answer: A
How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once? Answer Choice: (A) 720 (B) 360 (C) 1420 (D) 1680 (E) None of these
Answer: D
A train is 300 meter long is running at a speed of 35 km/hour. In what time will it pass a bridge of 115 meter length? Answer Choice: (A) 29 (B) 23 (C) 47.119 (D) 44.586 (E) 42.686
Answer: E
Two employees M and N are paid a total of $572 per week by their employer. If M is paid 120 percent of the salary paid to N, how much is N paid per week? Answer Choice: (A) $220 (B) $240 (C) $260 (D) $300 (E) $320
Answer: C
If A:B = 1/2: 1/3 B:C = 1/2:1/3 then A:B:C? Answer Choice: (A) 9:6:6 (B) 9:7:4 (C) 9:6:6 (D) 9:6:4 (E) 9:3:4
Answer: D
Two cycles are standing side-by-side. One cycle, which is 2.5 feets tall, casts a shadow that is 5
feets long. The other cycle is 2 feets tall. Compute, in feets, the length of the shadow that
the shorter cycle casts. Answer Choice: (A) 3 (B) 4 (C) 6 (D) 8 (E) 10
Answer: B
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is? Answer Choice: (A) 677 m (B) 456 m (C) 500 m (D) 663 m (E) 757 m
Answer: C
Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel two times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own? Answer Choice: (A) 4 (B) 3 (C) 8 (D) 9 (E) 12
Answer: B
The ‘moving walkway’ is a 300-foot long conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 feet per second, reaches the group of people, and then remains stationary until the walkway ends. What is Bill’s average rate of movement S for his trip along the moving walkway? Answer Choice: (A) 2 feet per second (B) 2.5 feet per second (C) 3 feet per second (D) 4 feet per second (E) 5 feet per second
Answer: E
A number when divided by a certain divisor left remainder 245, when twice the number was divided by the same divisor, the remainder was 112. Find the divisor? Answer Choice: (A) 378 (B) 365 (C) 380 (D) 456 (E) 460
Answer: A