loafeihong/math_mmlu_format huggingface dataset:
A boy standing idle sounds a whistle to his friend at a distance of 1200 m moving away from him in a speeding car at 108 kms /hr. Find the duration after which his friend is going to hear him. (Speed of sound = 330m/sec). Answer Choice: (A) 3.6 secs (B) 4.00 secs (C) 40 secs (D) 45 secs (E) None of these
Answer: B
In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 80% of Calculus students are enrolled in the beginner course. If 4/5 of students are in the beginner courses, and one student is selected at random, what is the probability that a beginner Trigonometry student is selected? Answer Choice: (A) 40% (B) 44% (C) 48% (D) 52% (E) 56%
Answer: C
If each term in the sum E=a1+a2+a3+...+an either 2 or 22 and the sum equals 100, which of the following could be equal to n? Answer Choice: (A) 38 (B) 39 (C) 40 (D) 41 (E) 42
Answer: C
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is? Answer Choice: (A) 0.5907 (B) 0.5904 (C) 0.5902 (D) 0.5901 (E) 0.59023
Answer: B
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 62 kg. What is the correct weight? Answer Choice: (A) 58kgs (B) 58.85kgs (C) 58.7kgs (D) 59kgs (E) 59.85kgs
Answer: C
A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 170, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala? Answer Choice: (A) 30 (B) 33 (C) 55 (D) 77 (E) 88
Answer: A
If 5 less than x is 4 greater than y, then a number z that is 3 greater than x reduced by y is equal to Answer Choice: (A) 4 (B) 12 (C) 14 (D) y + 9 (E) y + 14
Answer: B
How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per annum of simple interest? Answer Choice: (A) 2 years (B) 3 years (C) 1 year (D) 4 years (E) 5 years
Answer: A
How many positive, 3-digit integers contain at least one 7? Answer Choice: (A) 171 (B) 200 (C) 243 (D) 252 (E) 271
Answer: C
How many positive integers D between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5? Answer Choice: (A) 3 (B) 16 (C) 75 (D) 24 (E) 26
Answer: E
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part? Answer Choice: (A) 29 (B) 30 (C) 31 (D) 35 (E) 38
Answer: C
A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate? Answer Choice: (A) Rs.256.75 (B) Rs.256.28 (C) Rs.256.29 (D) Rs.256.21 (E) Rs.256.25
Answer: E
what no should be subtracted from 92555 to make it a perfect square ? Answer Choice: (A) 128 (B) 158 (C) 178 (D) 139 (E) 140
Answer: D
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms Lucy pick? Answer Choice: (A) 2 kilograms (B) 4 kilograms (C) 6 kilograms (D) 8 kilograms (E) 10 kilograms
Answer: D
Which of the following is the Highest Common Factor of 27, 81 and 54? Answer Choice: (A) 8 (B) 9 (C) 6 (D) 14 (E) 12
Answer: B
A man, a woman and a boy can complete a job in 3,4 and 12 days respectively.
How many boys must assist 1 man and 1 woman to complete the job in ¼ of a day? Answer Choice: (A) 1day (B) 4days (C) 19days (D) 41days (E) 52days
Answer: D
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place? Answer Choice: (A) 2.86 (B) 2.88 (C) 2.80 (D) 2.87 (E) 2.82
Answer: B
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 8)%. In terms of x, how many species of bacteria will the group be able to model? Answer Choice: (A) x*x – 5x (B) (x)(105 – x) (C) (x)*(108 - x) (D) (100)(95 – x) (E) (x-5)/100
Answer: C
A train is 250 meter long is running at a speed of 36 km/hour. In what time will it pass a station of 200 meter length? Answer Choice: (A) 28 seconds (B) 27 seconds (C) 45 seconds (D) 26 seconds (E) 18 seconds
Answer: C
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 1 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in advance? Answer Choice: (A)  4y (B)  5y (C)  6y (D)  8y (E)  19y
Answer: E
Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is? Answer Choice: (A) 81.6 (B) 81.5 (C) 81.1 (D) 81.9 (E) 81.2
Answer: A
Excluding stoppages, the speed of a train is 48 kmph and including stoppages it is 32 kmph. Of how many minutes does the train stop per hour? Answer Choice: (A) A)40 (B) B)30 (C) C)20 (D) D)10 (E) E)5
Answer: C
The edge of a cube is 4a cm. Find its surface? Answer Choice: (A) 104a2 cm2 (B) 64a2 cm2 (C) 96a2 cm2 (D) 84a2 cm2 (E) 56a2 cm2
Answer: C
A and B are playing mathematical puzzles. A asks B "which whole numbers, greater than one, can divide all the nine three digit numbers 111,222,333,444,555,666, 777,888 and 999?"
B immediately gave the desired answer. It was :- Answer Choice: (A) 3, 37 and 119 (B) 3 AND 37 and 111 (C) 9, 37 and 111 (D) 3, 9 and 37 (E) None
Answer: B
A certain city with a population of 84,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ? Answer Choice: (A) a) 10,700 (B) b) 10,800 (C) c) 7,000 (D) d) 11,000 (E) e) 11,100
Answer: C
A lady gives a dinner party to 5 guests to be selected from nine friends. The number of ways of forming the party of 5, given that two of the friends will not attend the party together is Answer Choice: (A) 56 (B) 126 (C) 91 (D) 94 (E) None of these
Answer: C
The number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse? Answer Choice: (A) 27 (B) 33 (C) 54 (D) 81 (E) 162
Answer: C
A bag contains 3 red, 6 yellow and 8 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours? Answer Choice: (A) 2/7 (B) 3/5 (C) 3/11 (D) 18/85 (E) 7/16
Answer: D
What is the factorial of 5? Answer Choice: (A) 1 (B) 60 (C) 120 (D) 130 (E) 180
Answer: C
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $63 more. What was his original selling price? Answer Choice: (A) $850 (B) $990 (C) $1050 (D) $1180 (E) $1340
Answer: B
The workforce of Company X is 60% female. The company hired 28 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers? Answer Choice: (A) 160 (B) 220 (C) 336 (D) 360 (E) 420
Answer: C
Bruce and Bhishma are running on a circular track of length 600m. Speed of Bruce is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time? Answer Choice: (A) 30 sec (B) 40 sec (C) 50 sec (D) 60 sec (E) 70 sec
Answer: D
x is the smallest integer greater than 1000 that is not prime and that has only one factor in common with 30!. What is x? Answer Choice: (A) 1009 (B) 1021 (C) 1147 (D) 1273 (E) 50! + 1
Answer: C
A, B and C enter into a partnership by investing $11000, $15000 and $23000 respectively. At the end of 8 months, B receives $1540 as his share. Find the share of A. Answer Choice: (A) $811 (B) $922 (C) $1033 (D) $1144 (E) $1255
Answer: D
A number when divided by a divisor leaves a remainder of 24.
When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor? Answer Choice: (A) 34 (B) 35 (C) 37 (D) 38 (E) 40
Answer: C
What is the area of a square field whose diagonal of length 30 m? Answer Choice: (A) 300 sq m (B) 250 sq m (C) 200 sq m (D) 400 sq m (E) 800 sq m
Answer: A
A,B,C invested the capitals in a business. If the investment of A, B, C are Rs. 40,000, Rs.50,000, Rs.10000 respectively and the profit got by B is Rs.7500, find the profit of others. Answer Choice: (A) 6000, 1500 (B) 5000, 2500 (C) 6500, 1000 (D) 5500, 2000 (E) 5250, 2250
Answer: A
The average score in an examination of 10 students of a class is 60. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is ? Answer Choice: (A) 87 (B) 95 (C) 99 (D) 100 (E) 103
Answer: C
The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is? Answer Choice: (A) 1200 (B) 1500 (C) 1700 (D) 1349 (E) 1389
Answer: D
If x and y are positive integers such that y is a multiple of 5 and 3x + 6y = 300, then x must be a multiple of which of the following? Answer Choice: (A) 3. (B) 6. (C) 7. (D) 8. (E) 10.
Answer: E
If a - b = 3 and a(power 2) + b(power 2) = 21, find the value of ab. Answer Choice: (A) 5 (B) 8 (C) 4 (D) 6 (E) 3
Answer: D
A lady builds 9cm length, 12cm width, and 3cm height box using 3cubic cm cubes. What is the minimum number of cubes required to build the box? Answer Choice: (A) 107 (B) 108 (C) 109 (D) 110 (E) 111
Answer: B
Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 47 years. What will be the age of the B ten years hence? Answer Choice: (A) 22 (B) 77 (C) 94 (D) 96 (E) 51
Answer: C
One out of every 300 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment? Answer Choice: (A) 2,000 (B) 30000 (C) 10,000 (D) 50,000 (E) 52,000
Answer: B
If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 7800 ? Answer Choice: (A) 11 (B) 13 (C) 14 (D) 18 (E) 10
Answer: B
If f(a)=2a+8, what is the value of (f(2a)+f(a)) ? Answer Choice: (A) 6a+16 (B) 8a-7 (C) 6a+18 (D) 6a+12 (E) 3a+5
Answer: A
A cistern 10 m long and 6 m wide contains water up to a breadth of 1 m 35 cm. Find the total area of the wet surface. Answer Choice: (A) 100 m sqaure (B) 103 m sqaure (C) 152 m sqaure (D) 164 m sqaure (E) None of these
Answer: B
A boat having a length 3 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is: Answer Choice: (A) 100 kg (B) 120 kg (C) 89 Kg (D) 90 Kg (E) 110 Kg
Answer: D
Tom and John traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. After 15 minutes Tom passed John, Tom reaches a certain Gas station, how many Q minutes it takes John to reach the station? Answer Choice: (A) 5 min (B) 6 min (C) 7 and 1/2 min (D) 8 min (E) 10 min
Answer: C
The diameter of the driving wheel of a bus is 120 m. How many revolution, per minute must the wheel make in order to keep a speed of 60 kmph approximately Answer Choice: (A) 245 (B) 257 (C) 262 (D) 265 (E) 275
Answer: D
How many different positive integers exist between 10^6 and 10^7, the sum of whose digits is equal to 2? Answer Choice: (A) 5 (B) 6 (C) 7 (D) 8 (E) 18
Answer: C
A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it? Answer Choice: (A) 11 hours (B) 16 hours (C) 12 hours (D) 13 hours (E) 17 hours
Answer: C
What is the average of 12, 13, 14, 51, 52, 53, 1,11.5, 1,1.20, and 11.25? Answer Choice: (A)  21.06 (B)  23 (C)  26 (D) 23.69 (E)  22.56
Answer: A
Today is Thursday. The day after 51 days will be? Answer Choice: (A) Monday (B) Tuesday (C) Saturday (D) Sunday (E) wednesday
Answer: C
A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 20% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save? Answer Choice: (A) 15% (B) 18% (C) 20% (D) 25% (E) 26%
Answer: C
If x2*square* – x – 2 > 0, which of the following is the
solution set for x? Answer Choice: (A) x > –1 (B) x > 2 (C) –1 < x < 2 (D) x < –1 or x > 2 (E) No solutions are possible
Answer: D
In the rectangular coordinate system, points (8, 0) and (– 8, 0) both lie on circle C. What is the maximum possible value of the radius of C ? Answer Choice: (A) 2 (B) 4 (C) 8 (D) 16 (E) None of the above
Answer: C
some 6th std students each bought a pencil paying a total of 143rs.some of the 26 fifth std students each bought a pencil and they paid a total of 165rs.how many more fifth std students than sixth std students bought a pencil Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: B
The LCM and HCF of two numbers are 1000 and 100 respectively. Find the larger of the two numbers if their sum is 1100. Answer Choice: (A) 1000 (B) 10 (C) 567 (D) 57 (E) 678
Answer: A
If n = 2p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ? Answer Choice: (A)  Two (B)  Three (C)  Four (D)  Six (E)  Eight
Answer: A
How many seconds will a 500 metre 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) 25 (B) 30 (C) 40 (D) 45 (E) 50
Answer: B
A hostel had provisions for 250 men for 32 days. If 50 men left the hostel, how long will the food last at the same rate? Answer Choice: (A) 30 (B) 40 (C) 50 (D) 60 (E) 65
Answer: B
The population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence? Answer Choice: (A) 268942 (B) 186935 (C) 179776 (D) 167425 (E) None of these
Answer: C
Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 9900 interest only for the period. The principal amount borrowed by her was Answer Choice: (A) Rs. 2000 (B) Rs. 27500 (C) Rs. 15000 (D) Rs. 20000 (E) None of these
Answer: B
Jupiter travels around the Sun at an approximate speed of 7.8 miles per second. This speed is how many kilometers per hour? (1 km = 0.6 miles) Answer Choice: (A) 40,500 (B) 42,600 (C) 44,700 (D) 46,800 (E) 48,900
Answer: D
A train running at the speed of 90 km/hr crosses a pole in 12 seconds. Find the length of the train? Answer Choice: (A) 150 (B) 872 (C) 287 (D) 288 (E) 300
Answer: E
A dishonest dealer professes to sell goods at the cost price but uses a weight of 852 grams per kg, what is his percent? Answer Choice: (A) 22% (B) 25% (C) 17.37% (D) 99% (E) 12%
Answer: C
In a question on division with zero remainder, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is: Answer Choice: (A) 20 (B) 30 (C) 32 (D) 34 (E) 46
Answer: A
A certain kind of necklace is made from 9 yellow, 6 blue, and 3 silver beads. What is the maximum number of these necklaces that can be made from 63 beads of each color ? Answer Choice: (A) 7 (B) 6 (C) 5 (D) 4 (E) 3
Answer: A
The number of positive integers valued pairs (x, y) satisfying 4x -17y = 1 and x <= 1000 (x is less than or equal to 1000) is Answer Choice: (A) 59 (B) 57 (C) 55 (D) 58 (E) 60
Answer: A
A man's speed with the current is 20 kmph and speed of the current is 3 kmph. The Man's speed against the current will be Answer Choice: (A) 11 kmph (B) 12 kmph (C) 14 kmph (D) 17 kmph (E) None of these
Answer: C
Fifteen runners from four different countries are competing in a tournament. Each country holds a qualifying heat to determine who its fastest runner is. These four runners then run a final race for first, second, and third place. If no country has more than one more runner than any other country, how many arrangements of prize winners are there? Answer Choice: (A) 24 (B) 384 (C) 455 (D) 1248 (E) 2730
Answer: D
A train of length 250 metres takes 45 seconds to cross a tunnel of length 350metres. What is the speed of the train in km/hr? Answer Choice: (A) 10 km/hr. (B) 240 km/hr. (C) 30 km/hr. (D) 24 km/hr. (E) None
Answer: D
10 books are placed at random in a shelf. The probability that a pair of books will always be together is Answer Choice: (A) 1/6 (B) 1/9 (C) 1/5 (D) 1/6 (E) 1/3
Answer: C
Two trains 140 m and 180 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Answer Choice: (A) 11.52 sec (B) 10.1 sec (C) 10.6 sec (D) 10.8 sec (E) 10.2 sec
Answer: A
One woman and one man can build a wall together in half an hour, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them two hours to build the wall. Assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall? Answer Choice: (A) 5/7 (B) 1 (C) 10/7 (D) 6/13 (E) 22/7
Answer: D
Add: + 47 and -27 Answer Choice: (A) -30 (B) +30 (C) 0 (D) 27 (E) 47
Answer: B
If the population of a certain country increases at the rate of one person every 25 seconds, by how many persons does the population increase in 1 hour? Answer Choice: (A) 100 (B) 120 (C) 144 (D) 180 (E) 160
Answer: C
A man speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man speed against the current is Answer Choice: (A) 7 km/hr [B] [C] [D] (B) 8 km/hr (C) 9 km/hr (D) 6 km/hr (E) 10 km/hr
Answer: E
A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct? Answer Choice: (A) 10 min past 7pm on wednesday (B) 20 min past 7pm on wednesday (C) 20 min past 9pm on wednesday (D) 26 min past 7pm on wednesday (E) 20 min past 4pm on wednesday
Answer: B
Pipes A and B can fill a tank in 10 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in Answer Choice: (A) 1 13/17 hours (B) 2 8/11 hours (C) 3 9/17 hours (D) 5 5/11 hours (E) None
Answer: D
In 2005, 25 percent of the math department’s 60 students were female, and in 2007, 35 percent of the math department’s 65 students were female. What was the percent increase from 2005 to 2007 in the number of female students in the department? Answer Choice: (A) 15% (B) 51.7% (C) 62.5% (D) 115% (E) 160%
Answer: B
If b < 2 and 2x - 5b = 0, which of the following must be true? Answer Choice: (A) x < 5 (B) x < 2 (C) x = 3 (D) x < 3 (E) D. x > 3
Answer: A
The integer x is divisible by both 4 and 6. Which of the following must be an integer? Answer Choice: (A) x/12 (B) x/9 (C) x/25 (D) x/24 (E) x/16
Answer: A
IBM and KTC quote for a tender. On the tender opening day, IBM realizes that their quotations are in the ratio 7:4 and hence decreases its price during negotiations to make it Rs 1 Lakh lower than KTC's quoted price. KTC realizes that the final quotes of the two were in the ratio 3:4. What was the price at which IBM won the bid? Answer Choice: (A) Rs. 7 lakh (B) Rs. 3 lakh (C) Rs. 4 lakh (D) Rs. 1.5 lakh (E) None of these
Answer: B
If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ? Answer Choice: (A) 5:3 (B) 4:3 (C) 6:3 (D) 3:4 (E) 5:4
Answer: B
A certain drink of type A is prepared by mixing 4 parts milk with 3 parts fruit juice. Another drink of type B is prepared by mixing 4 parts of fruit juice and 3 parts of milk. How many liters of fruit juice must be added to 63 liters of drink A to convert it to drink B? Answer Choice: (A) 7 (B) 14 (C) 21 (D) 28 (E) 35
Answer: C
What is the next number of the following sequence
7, 0, 1, 8, 5, 12, 9, 26, 3, 2, 23, ? Answer Choice: (A) 28 (B) 29 (C) 30 (D) 31 (E) 32
Answer: A
Meena wrote all the numbers from 1 to 69,999 inclusive. How many digits did she write in total? Answer Choice: (A) 278,889 (B) 308,889 (C) 338,889 (D) 368,889 (E) 398,889
Answer: C
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. What is the probability of having 3 man in committee ? Answer Choice: (A) 10/36 (B) 11/72 (C) 12/72 (D) 28/36 (E) 36/90
Answer: D
If the average of 37, 69, 47 and x is 46.5, what is x? Answer Choice: (A) 37 (B) 41 (C) 50 (D) 59 (E) 33
Answer: E
What is the ratio F of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled? Answer Choice: (A) 1/4 (B) 3/8 (C) 1/2 (D) 3/5 (E) 2
Answer: D
8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 81. How much wine did the cask hold originally? Answer Choice: (A) 18 litres (B) 24 litres (C) 32 litres (D) 42 litres (E) 52 litres
Answer: B
A box measuring 49 inches long by 42 inches wide by 14 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective? Answer Choice: (A) 78 (B) 82 (C) 84 (D) 86 (E) 88
Answer: C
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 10 sec. What is the length of the fast train? Answer Choice: (A) 27 7/6 (B) 27 7/5 (C) 27 7/2 (D) 500/9 (E) 27 7/1
Answer: D
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train? Answer Choice: (A) 270 (B) 277 (C) 187 (D) 257 (E) 271
Answer: A
If you divide 7^102 by 5, which remainder do you get? Answer Choice: (A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Answer: E
Set A: {1, 3, 4, 6, 9, 12, 15}
If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3? Answer Choice: (A) 3/14 (B) 2/7 (C) 9/14 (D) 5/7 (E) 11/14
Answer: B
A sum of Rs.2000 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years. Answer Choice: (A) 2888 (B) 3120 (C) 2877 (D) 2999 (E) 1300
Answer: E
How many two digit numbers of distinct digits can be formed by using digits 3, 4, 5, 6,7 and 8 such that the numbers are divisible by 9? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 8
Answer: B
A train 150 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post? Answer Choice: (A) 11 s (B) 10 s (C) 7 s (D) 12 s (E) None of these
Answer: B
Rahul went to a shop and bought things worth Rs. 55, 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) A)19.7 (B) B)19.9 (C) C)21.9 (D) D)40.9 (E) E)49.7
Answer: E