loafeihong/math_mmlu_format huggingface dataset:
The period of 2 sin x cos x is Answer Choice: (A) 4 pi 2 (B) 2 pi (C) 4 pi (D) pi (E) None
Answer: D
Integer X represents the product of all integers between 1 to 27 (inclusive). The smallest prime factor of (x+1) must be Answer Choice: (A) Between 1 to 10 (B) Between 11 to 15 (C) Between 15 to 20 (D) Between 20 to 27 (E) Greater than 27
Answer: E
Score Interval Number of Scores
50-59 2
60-69 10
70-79 16
80-89 27
90-99 17
The table shows a distribution of test scores. Which score interval contains the median of the 72 scores? Answer Choice: (A) a) 60-69 (B) b) 70-79 (C) c) 80-89 (D) d) 90-99 (E) e) Cannot determine.
Answer: C
Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? Answer Choice: (A) 67 (B) 65 (C) 75 (D) 61 (E) 60
Answer: B
Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,600 nuts and 1,600 bolts? Answer Choice: (A) 1,250 seconds (B) 1,500 seconds (C) 1,750 seconds (D) 2,400 seconds (E) 3,000 seconds
Answer: D
At a certain store, the price of a pair of shoes is twenty dollars more than three times the price of a pair of jeans and the price of a sweater is seventy percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a sweater and a pair of jeans, in terms of j ? Answer Choice: (A) 9.1j + 54 (B) 3j + 20 (C) 4.5j + 30 (D) 5.5j + 30 (E) 8.5j + 50
Answer: A
A certain rectangular crate measures 8 feet by 14 feet by 16 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume? Answer Choice: (A) 4 (B) 5 (C) 6 (D) 8 (E) 10
Answer: C
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 1 : 3?
A. 48 kmph Answer Choice: (A) 33 (B) 480/9 (C) 28 (D) 27/8 (E) 16
Answer: B
In a group of 80 students, each student is registered for at least one of three classes – History, Math and English. 35 students are registered for History, 35 are registered for Math, and 46 students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes? Answer Choice: (A) 13 (B) 10 (C) 9 (D) 8 (E) 30
Answer: E
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share? Answer Choice: (A) Rs.2008 (B) Rs.2039 (C) Rs.2000 (D) Rs.2039 (E) Rs.2030
Answer: C
A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/5 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job? Answer Choice: (A) 1:42 (B) 1:34 (C) 1:44 (D) 1:54 (E) 2:14
Answer: A
Calculate the value of n from the below equation: n^3âˆ’10n+20=44 Answer Choice: (A) 1 (B) 5 (C) 3 (D) 2 (E) 4
Answer: E
Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 8 and 14.? Answer Choice: (A) 64 (B) 72 (C) 56 (D) 80 (E) 88
Answer: C
Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked two 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week? Answer Choice: (A) 280 (B) 300 (C) 160 (D) 350 (E) 400
Answer: C
After running a series of television advertisements, a leading beverage producer saw its sales increase by 40% to $1 million dollars per month. Prior to the advertising campaign, about how many dollars in sales did the company average per day? Answer Choice: (A) $1.25 million (B) $800,000 (C) $750,000 (D) $27,000 (E) $23,000
Answer: E
James took a 3-hour bike ride. In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride? Answer Choice: (A) 54.0 (B) 54.9 (C) 55.5 (D) 57.0 (E) 63.0
Answer: C
If (1/5)^m * (1/2)^5 = 1/((10)^5), then m = Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: E
Donovan and Michael are racing around a circular 600-meter track. If Donovan runs each lap in 45 seconds and Michael runs each lap in 40 seconds, how many laps will Michael have to complete in order to pass Donovan, assuming they start at the same time? Answer Choice: (A) 8 (B) 7 (C) 9 (D) 6 (E) 5
Answer: C
The profits of QRS company rose 30% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June? Answer Choice: (A) 15% (B) 32% (C) 56% (D) 62% (E) 80%
Answer: C
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides? Answer Choice: (A) 3 (B) 5 (C) 6 (D) 87 (E) 9
Answer: A
Every month a man consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350? Given that the price of rice and consumption of wheat is constant : Answer Choice: (A) 40% (B) 25% (C) 36% (D) 24% (E) Cannot determined
Answer: C
How much water must be added to 52 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre? Answer Choice: (A) 10 litres (B) 13 litres (C) 15 litres (D) 18 litres (E) None of these
Answer: B
Look at this series: 53, 53, 43, 43, 33, 33, ... What number should come next? Answer Choice: (A) 50 (B) 40 (C) 23 (D) 13 (E) 10
Answer: C
In how much time will a train of length 100 m, moving at 34 kmph cross an electric pole? Answer Choice: (A) 15.59 sec (B) 12.59 sec (C) 10.59 sec (D) 11.59 sec (E) 15 sec
Answer: C
The savings of employee equals income minus expenditure.If the income of A,B,C are in the ratio 1:2:3 and their expense ratio 3:2:1 then what is the order of the employees in increasing order of their size of their savings? Answer Choice: (A) 22 (B) 281 (C) A<B<C (D) 28 (E) 272
Answer: B
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 36 kilometers, Maxwell's walking speed is 3 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when they meet in the middle? Answer Choice: (A) 12 (B) 14 (C) 15 (D) 13 (E) 11
Answer: A
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them? Answer Choice: (A) 42, 33 (B) 42, 31 (C) 40, 33 (D) 39, 33 (E) 41, 35
Answer: A
There are three prizes to be distributed among ten students. If no students gets more than one prize, then this can be done in? Answer Choice: (A) 10 (B) 45 (C) 95 (D) 120 (E) None of these
Answer: D
Difference between two numbers is 5, six times of the smaller lacks by 10 from the four times of the greater. Find the numbers? Answer Choice: (A) 10,5 (B) 9,7 (C) 11,9 (D) 13,11 (E) 13,9
Answer: A
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is? Answer Choice: (A) 36 (B) 76 (C) 98 (D) 27 (E) 24
Answer: A
An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability F that the sum of the 2 numbers on the balls will be even? Answer Choice: (A) 25% (B) 37.5% (C) 50% (D) 62.5% (E) 75%
Answer: C
If (z + 3)/5 is an integer, what is remainder when z is divided by 5? Answer Choice: (A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Answer: A
A round table conference to be held between 20 delegates of 20 countries. In how many ways can they seated if two particular delegates are always to sit together? Answer Choice: (A) 14!*5! (B) 22!*7! (C) 18!*2! (D) 28!*1! (E) 16!*3!
Answer: C
Dany bought a total of 24 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy? Answer Choice: (A) 4 (B) 10 (C) 7 (D) 18 (E) 12
Answer: D
For a certain set of numbers, if x is in the set, then x - 1 is also in the set. If the number 1 is in the set , which of the following must also be in the set ?
a) 4
b) 0
c) -3 Answer Choice: (A) a only, (B) b only, (C) a and b only (D) c only, (E) b and c only
Answer: E
Find the amount on Rs.5000 in 2 years, the rate of interest being 20% per first year and 25% for the second year? Answer Choice: (A) 3377 (B) 2678 (C) 5460 (D) 7500 (E) 1671
Answer: D
five children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Children AB must sit next to each other, and child C must be somewhere to the right of AB. How many possible configurations are there for the children? Answer Choice: (A) 600 (B) 560 (C) 1440 (D) 4320 (E) 4800
Answer: B
The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 13 years more than twice the age of the son.Find the present age of the father. Answer Choice: (A) 88 (B) 77 (C) 33 (D) 42 (E) 55
Answer: D
20 throws of a die produces following results
SCORE -- NUMBER OF OCCURRENCES
---1-------------------4
---2-------------------3
---3-------------------5
---4-------------------2
---5-------------------2
---6-------------------4
What is the probability P that one more throw to this series will increase the mean score? Answer Choice: (A) 1/6 (B) 1/3 (C) 1/2 (D) 2/3 (E) 5/6
Answer: C
In how many ways can an answer key for a quiz be written if the quiz contains 5 true-false questions followed by 2 multiples-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same? Answer Choice: (A) 160 (B) 320 (C) 480 (D) 600 (E) 720
Answer: C
20.036 divided by 0.04 gives : Answer Choice: (A) 50.09 (B) 5.06 (C) 50.06 (D) 100.9 (E) 500.9
Answer: E
A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn? Answer Choice: (A) 4 cm (B) 4.8 cm (C) 4.5 cm (D) 4.4 cm (E) 5 cm
Answer: B
A sum of Rs.4800 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) 2777 (B) 3120 (C) 6877 (D) 1699 (E) 1667
Answer: B
By selling an article for $90, a person gains $15. What is the gain %? Answer Choice: (A) 25% (B) 30% (C) 50% (D) 20% (E) 10%
Answer: D
Three friends (Tony, Ben and George) are employees of a company. Their respective salaries are in the ratio of 3 : 4 :5. Ben and George's salaries together is Rs. 8550. By what percent is George's salary than that of Sarah? Answer Choice: (A) 61.7% (B) 46.7% (C) 66.7% (D) 63.7% (E) 62.7%
Answer: C
4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%? Answer Choice: (A) 2808 (B) 2829 (C) 2800 (D) 2829 (E) 2821
Answer: C
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle? Answer Choice: (A) 8 (B) 12 (C) 6 (D) 2 (E) 4
Answer: D
70,75, 76,75,90,105,105,130,130,130
The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times. Answer Choice: (A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer: D
In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ? Answer Choice: (A) 18 (B) 36 (C) 45 (D) 54 (E) None of these
Answer: D
There are three foam generators in the factory, each of the first two can generate 8 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated? Answer Choice: (A) 120. (B) 132. (C) 146. (D) 154. (E) 115
Answer: E
In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a two or a one on either die, that player wins. What is the probability that a player wins after playing the game once? Answer Choice: (A) 1/3 (B) 4/9 (C) 5/9 (D) 2/3 (E) 3/4
Answer: C
A rectangular field has a length 10 meters more than it is width. If the area of the field is 144, what is the length (in meters) of the rectangular field? Answer Choice: (A) 16 (B) 18 (C) 20 (D) 22 (E) 24
Answer: B
Find the smallest number which leaves 22,35, 48 and 61 as remainders when divided by 26, 39, 52 and 65 respectively. Answer Choice: (A) 67 (B) 26 (C) 99 (D) 26 (E) 91
Answer: D
8, 12, 18, 27, 40.5, (...) Answer Choice: (A) 62 (B) 60.75 (C) 60.5 (D) 60.25 (E) 60
Answer: B
In the faculty of Reverse-Engineering, 100 second year students study numeric methods, 100 second year students study automatic control of airborne vehicles and 25 second year students study them both. How many students are there in the faculty if the second year students are approximately 50% of the total? Answer Choice: (A) 340 (B) 335 (C) 370 (D) 360 (E) 350
Answer: E
Which of the following list a prime number ? Answer Choice: (A) 1 (B) 4 (C) 8 (D) 7 (E) 10
Answer: D
The average weight of A, B and C is 65 kg. If the average weight of A and B be 60 kg and that of B and C be 70 kg, then the weight of A is: Answer Choice: (A) 55 kg (B) 65 kg (C) 75 kg (D) 45 kg (E) 63 kg
Answer: A
0.002 x 0.5 = ? Answer Choice: (A) 0.0001 (B) 0.001 (C) 0.01 (D) 0.1 (E) NONE OF THESE
Answer: B
If 2x = 3y = 10, then 3xy = ? Answer Choice: (A)  100 (B)  200 (C)  120 (D)  50 (E)  20
Answer: D
Dany bought a total of 26 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy? Answer Choice: (A) 4 (B) 10 (C) 7 (D) 23 (E) 12
Answer: D
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle? Answer Choice: (A) 1:96 (B) 1:28 (C) 2:28 (D) 1:29 (E) 1:12
Answer: A
If x+y=-10, and x=25/y, what is the value of x^2+y^2? Answer Choice: (A) 55 (B) 65 (C) 50 (D) 75 (E) 85
Answer: C
The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ? Answer Choice: (A) 19 (B) 21 (C) 23 (D) 25 (E) 27
Answer: C
The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is? Answer Choice: (A) 237 (B) 267 (C) 298 (D) 480 (E) 291
Answer: D
Find the ratio in which rice at Rs.7.00 a kg be mixed with rice at Rs.5.70 a kg to produce a mixture worth Rs.6.30 a kg? Answer Choice: (A) 1 : 3 (B) 2 : 3 (C) 3 : 4 (D) 6 : 7 (E) None of these
Answer: D
ABCDEFGH is an equiangular octagon with side lengths 2,4√2,1,3√2,2,3√2,3,and 2√2
in that order. Compute the area of the octagon. Answer Choice: (A) 25 (B) 35 (C) 45 (D) 55 (E) 65
Answer: C
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? Answer Choice: (A) 50 (B) 99 (C) 77 (D) 26 (E) 23
Answer: A
What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 140? Answer Choice: (A) 270 (B) 372 (C) 273 (D) 199 (E) 300
Answer: E
In one hour,a boat goes 13 km along the stream and 9 km against the stream.The speed of the boat in still water (in km/hr) is : Answer Choice: (A) 3 (B) 5 (C) 11 (D) 9 (E) 10
Answer: C
A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 25% lemonade syrup? Answer Choice: (A) 1.5 (B) 1.75 (C) 2.14 (D) 2.34 (E) 2.64
Answer: C
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black? Answer Choice: (A) 31/145 (B) 23/145 (C) 36/145 (D) 31/115 (E) 41/215
Answer: B
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 30% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 20% less than the number there from 10 a.m. to 11 a.m. If 92 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.? Answer Choice: (A) 10 (B) 20 (C) 30 (D) 40 (E) 50
Answer: E
A number exceeds 20% of itself by 40. The number is ? Answer Choice: (A) 50 (B) 60 (C) 80 (D) 320 (E) None
Answer: A
Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 2,70,000 earned at the end of 3 years from the start of the business in 2010? Answer Choice: (A) Rs.45000 (B) Rs.50000 (C) Rs.60000 (D) Rs.90000 (E) None of these
Answer: D
If one-third of one-fourth of a number is 12, then three-tenth of that number is:
A. 35 Answer Choice: (A) 43.2 (B) 87 (C) 26 (D) 54 (E) 01
Answer: A
Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution P in the liquid in the tank after 3 minutes? Answer Choice: (A) 3/8 (B) 2/8 (C) 6/7 (D) 3/5 (E) 2/5
Answer: A
In a certain habitat, animals live in groups of two and groups of three. Each time a new animal
arrives at the habitat, it randomly chooses a group. If the chosen group has two animals in
it, the new animal joins the group forming a group of three animals. If the chosen group has
three animals in it, the new animal takes one of the animals away from the group of three and
forms a separate group of two animals.
If initially there are five animals in the habitat, and new animals arrive one at a time, what is
the probability that the fourth new animal joins a group of two animals? Answer Choice: (A) 1/3 (B) 1/2 (C) 5/9 (D) 5/8 (E) none of the previous choices
Answer: C
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 1 year the amount to be paid is? Answer Choice: (A) 3377 (B) 2688 (C) 2688 (D) 7800 (E) 1268
Answer: D
A pair of toys was bought for $162 at a discount of 10%. What must be the marked price of each of the toy? Answer Choice: (A) $300 (B) $500 (C) $90 (D) $400 (E) $600
Answer: C
33 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ? Answer Choice: (A) 22 (B) 77 (C) 36 (D) 25 (E) 13
Answer: A
Tom can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots & Ashwini can hit 4 times in 4 shots. What is the probability that at least 2 shots hit the target ? Answer Choice: (A) 1/2 (B) 1/3 (C) 2/3 (D) 3/5 (E) 3/7
Answer: C
A can do a piece of work in 3 days of 5 hours each and B alone can do it in 5 days of 3 hours each.how long will they take it to do working together
3/4 hours a day? Answer Choice: (A) 6 days (B) 5 days (C) 10 days (D) 9 days (E) 8 days
Answer: C
If (1/2)^18 (1/81)^k = 1/18^18, then k = Answer Choice: (A) 9 (B) 12 (C) 16 (D) 24 (E) 36
Answer: A
Will must choose a 3-character computer password, consisting of 1 letter from the alphabet and 2 distinct digits, in any order.From how many different passwords can Will choose? Answer Choice: (A) 390 (B) 2,340 (C) 4,680 (D) 7,020 (E) 14,040
Answer: D
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is : Answer Choice: (A) 1/4 (B) 1/10 (C) 7/15 (D) 8/15 (E) 9/15
Answer: D
The difference of the squares of two consecutive even integers is divisible by which of the following integers ? Answer Choice: (A) 3 (B) 4 (C) 5 (D) 6 (E) 7
Answer: B
A train 200 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: Answer Choice: (A) 45 km/hr (B) 50 km/hr (C) 77 km/hr (D) 55 km/hr (E) 56 km/hr
Answer: C
In how many ways can 6 arts and 4 science students be arranged in a row so that the arts and the science students are placed alternately? Answer Choice: (A) 12880 (B) 11850 (C) 13260 (D) 15200 (E) 17280
Answer: E
Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by $1.5, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have? Answer Choice: (A) $22 (B) $24 (C) $30 (D) $36 (E) $40
Answer: D
1 blue dice and 2 red Dice are thrown....what is the probability that the no. appeared on blue dice is always greater than both the no. appeared on the 2 red dice.. Answer Choice: (A) 55/216 (B) 56/216 (C) 57/216 (D) 54/216 (E) 53/216
Answer: A
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? Answer Choice: (A) 4 years (B) 8 years (C) 10 years (D) 15 years (E) None of these
Answer: A
A man has Rs. 480 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) 80 (B) 85 (C) 90 (D) 92 (E) 98
Answer: C
It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 440 cubic metres in 5 minutes. The inner radius of the pipe should be : Answer Choice: (A) √2 m (B) 2 m (C) 1⁄2 m (D) 1⁄√2 m (E) None of these
Answer: B
A and B together can complete a piece of work in 4 days.If A alone can complete the same work in 12 days, in how many days can B alone complete that work? Answer Choice: (A) 5 (B) 7 (C) 6 (D) 4 (E) 8
Answer: C
A metallic sheet is of rectangular shape with dimensions 48 m x 38 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is: Answer Choice: (A) 4830 (B) 5632 (C) 6420 (D) 7500 (E) 8960
Answer: B
If 5^29 * 4^15 = 2 * 10^n, what is the value of n? Answer Choice: (A) 11 (B) 21 (C) 22 (D) 29 (E) 32
Answer: D
In a race of length X metres, Johnson beats Lewis by M metres and Greene by N metres, By how many metres does Lewis beat Greene in the same race ? (M<N) Answer Choice: (A) X(X-N) / X-M (B) X(N-M) / X-M (C) X-N (D) M-N (E) M+N
Answer: B
If the product of the integers a, b, c and d is 546 and if 1 < a < b < c < d, what is the value of b+c? Answer Choice: (A) 273 (B) 185 (C) 21 (D) 10 (E) 4
Answer: D
What is the least value of x, so that 23x57 is divisible by 3 Answer Choice: (A) 2 (B) 0 (C) 1 (D) 3 (E) 4
Answer: C