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big_math_dataset

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A number is selected at random from the first 30 natural numbers. What is the probability that the number is a multiple of either 2 or 19?
A train is 360 meter long is running at a speed of 36 km/hour. In what time will it pass a bridge of 140 meter length?
15 people went to a hotel for combine dinner party 10 of them spent Rs. 50 each on their dinner and rest spent 4 more than the average expenditure of all the 15. What was the total money spent by them.
A train is 360 meter long is running at a speed of 90 km/hour. In what time will it pass a bridge of 140 meter length?
A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds ...
How many positive integers less than 250 are multiple of 4 but NOT multiples of 6?
When integer K is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ? I. 3K II. 4K+10 III. 5K IV. 2K V .6K II. 5n III. 4n + 10
How many positive integers less than 17 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?
The sum of ages of 5 children born 3 years different each is 55 yrs. What is the age of the Elder child?
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is
Of all the homes on Gotham Street, 1/3 are termite-ridden, and 1/4 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
P, Q and R are inner angles in a triangle. If P= Q+ R, what can't be the size of Q?
4 red,6blue,26 green ball. person choose 1 at a time either blue or red. what is probability that he choose red ball
Among 250 viewers interviewed who watch at least one of the three TV channels namely A, BC. 116 watch A, 127 watch C, while 107 watch B. If 90 watch exactly two channels. How many watch exactly one channel?
A start walking from a place at a uniform speed of 4 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B.
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.15 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
Of the five numbers in a sequence, the first term is 10,000, and each of the following terms is 50% of the previous term. What is the value range of the five numbers?
Tom bought 2 shares and sold them for $110 each. If he had a profit of 10% on the sale of one of the shares but a loss of 50% on the sale of the other share, then on the sale of both shares Tom had
Josh spends a total of $5.5 buying P items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then may be which of the following?
There are 300 seniors at Morse High School, and 50% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 18% of all the students at Morse have cars, how many students are in the three lower grades?
The average age of 25 students in a group is 12 years. when teacher's age is included to it, the average increases by one.What is the teacher's age in years?
A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 30% while buying and by 10% while selling. What is his percentage profit?
Tina has 5 socks and 3 pair of shoes. How many combinations does Barbara have, if she doesn’t wear 2 specific socks with 1 specific pair of shoes?
Find the common ratio of three numbers in G.P whose product is 216 and the sum of the products taken in pairs is 114.
Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 5 more than the average expenditure of all the nine. The total money spent by all of them was
The first photo shoot takes 3 minutes long and then the following shoots are taken at a rate of 21 seconds/shoot as the model is already at the scene. What is the maximum number of photo shoots taken in 10 minutes ?
What will come in place of the x in the following Number series? 25, 100, x, 1600, 6400
A group of 10 representatives is to be selected out of 13 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?
From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 5 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ?
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
What will be the fraction of 25%
9/8, 4/3, 17/8 ,3 1/3, 7/3, 42/8, 3 1/3, 7 1/4 ,1 3/3 , 7/2, 5 1/3, ?
At a summer camp with 1,500 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,500 campers will the 8- to 12-year-olds represent?
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 4:3 and B:C = 4:5. If the total runs scored by all of them are 75, the runs scored by B are?
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should A pay?
A library branch originally contained 18360 volumes, 30% of which were fiction novels. 1/3 of the volumes were transferred to another location and 1/4 of the volumes transferred were fiction novels. What percent of the remaining collection was fiction novels?
In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 40, what is the least possible difference between n and m.
What is the ratio between perimeters of two squares one having 7 times the diagonal then the other?
In a certain country 1/3 of 4 = 6. Assuming the same proportion, what would be the value of 1/6 of 20 ?
In a colony of 70 residents, the ratio of the number of men and women is 4 : 3. Among the women, the ratio of the educated to the uneducated is 1 : 4. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?
A 300 meter long train crosses a platform in 42 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
If the compound interest on a sum of Rs.7000 for 2 years is Rs.1470 then the rate of interest is (interest compounded yearly)
A straight line in the xy- plane has slope 2 . On this line the x-coordinate of the point is 300 and y-coordinate is 900 then what is the y intercept of the plane?
A person can swim in still water at 8 km/h. If the speed of water 4 km/h, how many hours will the man take to swim back against the current for 8km?
There are some students in a school.The 1/2 of number of students is a whole number. The 1/6 of number of students is a whole number. The 1/5 of number of students is a whole number. The 1/7 of number of students is a whole number.Find the number of students.
When N is divided by T, the quotient is S and the remainder is C. Which of the following expressions is equal to N?
A certain team consists of 3 professors and 4 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
A train running at the speed of 60 km/hr crosses a pole in 6 seconds. What is the length of the train?
A certain team has 6 members, including Joey. A three-member relay team will be selected as follows: one of the 6 members is to be chosen at random to run first, one of the remaining 5 members is to be chosen at random to run second, and one of the remaining 4 members is to be chosen at random to run third. What is the...
What is the smallest integer q greater than 1 that leaves a remainder of 1 when divided by any of the integers 6, 8, and 10?
Find the value of x from the below equation? : 3x^2-5x+2 = 0
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.15000. A's share is?
An investment yielded an interest payment of $350 each month when the annual interest rate was 9%, what is the amount of the investment that should be invested with an annual interest rate of 8% if We want to gain 15% more each month?
The average age of 7 men increases by 3 years when two women are included in place of two men of ages 18 and 22 years. Find the average age of the women?
The length of the longest rod that can fit in a cubical room of 4 m side is?
Gabriela’s grade was in the 90th percentile out of 100 grades in her class. In another class of 100 students there were 80 grades lower than Gabriela’s. If nobody had Gabriela’s grade, then Gabriela was what percentile of the two classes combined?
At present the age of the father is five times that of the age of the son. Three years hence the father's age would be 4 times that of his son. Find the present age of the father?
The security gate at a storage facility requires a five-digit lock code. If the lock code must consist only of digits from 1 through 7, inclusive, with no repeated digits, and the first and last digits of the code must be odd, how many lock codes are possible?
A van takes 6 hours to cover a distance of 288 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
It is decided to construct a 2 metre broad pathway around a rectangular plot on the inside. If the area of the plots is 96 sq.m. and the rate of construction is Rs. 50 per square metre., what will be the total cost of the construction?
If n is the product of all the integers from 5 to 20, inclusive, what is the greatest integer k for which 2^k is a factor of n ?
The true discount on a bill of Rs.540 is Rs.90.The banker's discount is
A train running at 25 km/hr takes 50 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.
If two projectiles are launched at the same moment from 2520 km apart and travel directly towards each other at 432 km per hour and 576 km per hour respectively, how many minutes will it take for them to meet?
A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 130 pounds?
The sequence a1, a2, a3, a4. a5 is such that an = a n-1 +5 for 2≤ n ≤ 5. If a5 = 41 what is the value of a1 ?
If two positive numbers are in the ratio 1/7 : 1/4, then by what percent is the second number more than the first?
Two goods trains each 375 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
There are 4 baskets. The first basket has 3 apples and 4 oranges, the second one has 4 apples and 5 mangoes, the third one has 6 Mangoes and 2 bananas and the last one has 7 bananas and 2 apples. If a fruit is randomly chosen from any basket and it comes out to be an apple, then what is the probability that it was take...
Convert the following unit: 2.3 hectares in ares
The area of a triangle will be when a = 2m, b = 4m, c = 6m, a, b, c being lengths of respective sides?
If it is true that x > -3 and x < 7, which of the following must be true?
The output of a factory is increased by 10% to keep up with rising demand. To handle the holiday rush, this new output is increased by 40%. By approximately what percent would the output of the factory now have to be decreased in order to restore the original output?
A large delicatessen purchased X pounds of cheese for c dollars per pound. If d pounds of the cheese had to be discarded due to spoilage and the delicatessen sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the purchase? (gross profit equals sales revenue minus pr...
Find the average of the first 41 natural numbers?
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is?
It takes 6 beavers 10 hours to build a certain dam, working at a uniform rate. If five beavers start to build the same dam at noon, and one beaver per hour is added beginning at 6:00 PM, at what time will the dam be complete?
M is 30% of Q. Q is 20% of P. N is 50% of P. Find M:N ratio
Two buses A and B leave the same bus depot, A towards the North and B towads the East. The bus A travels at a speed of 5 km/hr more than that of the bus B. If after four hours the distance between the two buses is 100 km, find the speed of the bus A.
A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?
Group A has 6 boys and 3 girls, group B has 2 boys and 2 girls and group C has 4 boys and 2 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?
587 x 999 = ?
If you cut a 20ft piece of wood into two pieces making one piece 4ft longer than the other. What size is the smaller piece?
If a continuous cable 10 meters long was marked off at intervals of 1/3 meter and also 1/5 meter, and then if the cable were cut at each mark, how many different size length of cable would result?
Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is four times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, wha...
Of the science books in a certain supply room, 40 are on botany, 55 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same area science?
210 students were asked in a survey if they preferred Windows or Mac brand computers. 60 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 90 of the students had no preference. How many of the students in t...
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty. Approximately how many faulty circuit boards exist in a group of 3,200 circuit boards where 64 fail inspection?
In what time will a railway train 96 m long moving at the rate of 45 kmph pass a telegraph post on its way?
A watch was sold at a loss of 10%. If it was sold for Rs.168 more, there would have been a gain of 4%. What is the cost price?
Sides of a rectangular park are in the ratio 4: 3 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
A train 225 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:
The average of 45 results is 12. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result?
The total age of A and B is 10 years more than the total age of B and C. C is how many years younger than A?
On increasing the number of lines in a page by 80, they become 240. What is the % of increase in the no. of lines in the page?
At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ?