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big_math_dataset

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An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?
A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $38.00, and on Tuesday the store sold 12 maps and 9 books for a total of $30.00. At this store, how much less does a map sell for than a book?
Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is
How many Numbers can be formed with digits 2,4,6,8 without repetition?
The ratio of two numbers is 4 : 7 and their H.C.F. is 4. Their L.C.M. is
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?
How many five letter words are formed using the letters of the word BRINJAL?
Two whole numbers whose sum is 42 cannot be in the ratio
If |r+s|=|r-s|, then r*s must be equal to:
105,100,...,90,85,80,75 Insert the missing number
One paper sheet can be used to create 8 paper boats or 6 paper planes. If total exact 80 paper toys are to be made, minimum how many sheets need to be used to make paper boats?
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 40 minutes. The total distance is?
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in scheme B?
A passenger sitting near the window in a train moving at 40 km/h, noticed that it took 3 sec. for the oncoming train to pass by. What was the speed of the oncoming train if the length of the oncoming train was 69 metres?
There is a sequence such that each term is positive integer and each digit of the terms in the sequence has 3 to be ordered, what is the value Q of 100th term?
The ratio, by weight, of coffee to sugar to water in a pot of coffee is 4:1:15. The ratio is then altered so that the ratio of coffee to sugar is halved while the ratio of coffee to water is doubled. If the altered pot of coffee contains 16 grams of sugar, how many grams of water does it contain after alteration?
If T = 5/9 * (K - 32), and if T = 105, then what is the value of K?
A person covered one-fourth of the total distance at 25 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
The cost per liter of petrol during a 4 year period is as follows: Year 1, $1 per liter ; Year 2, $1.5 per liter ; Year 3, $1.2 per liter ; Year 4, $2 per liter . If a factory spent equal dollars on petrol each year, what was the average cost of a liter of petrol during the 4 year period?
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/36, then the reciprocal of n must be
Everyone shakes hands with everyone else in a room. Total number of handshakes is 105. Number of persons=?
Average score in 10 matches is 32, How many runs one should should score to increase his average by 4 runs.
The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)
Rahim bought 42 books for Rs.520 from one shop and 22 books for Rs.248 from another. What is the average price he paid per book ?
In a class total 34 students, 16 are have a brother, 15 are have sisters, 9 students don't have either brothers or sisters.Find the number of students having both brother and sisters.
What is the greatest 5-digit number when divided by 6, 7 ,8 , 9, and 10 leaves a remainder of 4, 5, 6, 7, and 9 respectively?
The inverse ratio of 6: 2: 1 is?
If f(x) = ax^5 – 3x^2 + ax^2 – x, then f(b) – f(-b) will equal:
For the set { 3, 3, 4, 4, 5, 5, x}, which of the following values of x will most increase the standard deviation?
Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 9 times as heavy as water?
Media companies sell their magazine through a distributor, which take a commission of 3% of the price set by the media company. The distributor obtains the magazines through each company at the price of $12 per subscription. What is the price that the buyer observers if the distributor wants to maintain a 3% profit on the cost of a subscription?
How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?
The number of arrangement of letters of the word BANANA in which the two N's do not appear adjacently is:
Bill has a small deck of 14 playing cards made up of only 2 suits of 7 cards each. Each of the 7 cards within a suit has a different value from 1 to 7; thus, there are 2 cards in the deck that have the same value. Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?
In a theater, the first row has 15 seats and each row has 2 more seats than previous row. If the last row has 53 seats, what is the total number of seats in the theater?
In an xy-coordinate plane, a line is defined by y = kx + 1. If (4, b), (a,3), and (a, b+1) are three points on the line, where a and b are unknown, then k = ?
What is the greatest prime factor of 8^13 - 2^30?
Ten identical machines, running continuously at the same constant rate, take 6 days to complete a shipment. How many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by four days?
If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S? I. 1/8 II. 1/9 III. 1/10
A cistern 9m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B?
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 252 runs?
A bag contains 14 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
Rs.630/- distributed among A,B and C such that on increasing their shares by RS.10,RS.5 and RS.15 respectively, The balance money would be divided among them in the ratio 3:4:5. Then, A’s share is:?
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 48 years. What will be the age of the B ten years hence?
Two persons start running simultaneously around a circular track of length 200 m from the same point at speeds of 10 km/hr and 15 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
A car covers a distance of 1728 km in 6 hours. Find its speed?
A certain candy manufacturer reduced the weight of Candy Bar M by 25 percent buy left the price unchanged. What was the resulting percent increase in the price per ounce of Candy Bar M?
a renowned battery sells six different-sized wedding cakes. Each cake costs x dollars more than the next one below it in size, and the price of the largest cake is $24.50. If the sum of the prices of the six different cakes is $109.50, what is the value of x?
Fifteen more than three times a number is the same as ten less than six times the number. What is the number
Mandrake has to choose from 4 from 10 people. There are 3 girls, 5 boys , 2 children. What is total probability that he will choose 1G , 2B , 1C?
Maddie has 48 apples, if she give 22 to mike, how many does she have left?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
The sume of the ages of a father and his son is 45 years.Five years ago,the product of their ages was 34 .The ages of the son and the father are respectively :
Divide Rs. 5500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 1/5 as A and C together. A's share is?
There are 2 sections with 4 questions each. If three questions are selected from each section, the chance of getting different questions is________
Samantha's investment portfolio consists of three stocks: an airline, a bank, and a computer company. In the month of February, the price of the airline's stock rose by 10%, that of the bank decreased by 15% and that of the computer company also decreased by 12%, but the overall value of her portfolio increased. If Samantha owns equal amounts of all three stocks, which of the following could be the initial prices of the three stocks in the order airline, bank, and computer company respectively?
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1.5 cm when a man gets on it. The mass of man is
Tough and Tricky questions: Ratios 4/5 of a certain class left on a field trip. 1/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to join. What fraction of the class ended up going on the field trip?
What is M : N if M is 40% of N
A group of people were given 2 puzzles. 70% people solved puzzle X and 89% people solved puzzle Y. What is the maximum and minimum percentage of people who could have solved both the puzzles?
A tradesman by means of his false balance defrauds to the extent of 30%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
If a train, travelling at a speed of 180 kmph, crosses a pole in 6 sec, then the length of train is?
Let A be the positive integer satisfying the following equation. 9/10 + 99/102th + 999/103rd + · · · + 9999999999/1010th = A/1010th How many 8’s appear in the decimal representation of A ?
A man was asked to state his age in years. His reply was , "Take my age 6 years hence, multiply it by 6 and subtract 6 times my age 6 years ago and you will know how old I am." What was the age of the person ?
In what time will a railway train 120 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Given that there are 8 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 3 players can be selected from each team?
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
P has $35 more than what Q and R together would have had if both B and C had 1/7 of what P has. How much does P have?
The total expense of a boarding house is partly fixed and partly variable with the number of boarders. When the number of boarders is 25, then the charge is Rs 70 per head and the same is Rs 60 when the number of boarders is 50. What would be the charge per head if there are 100 boarders?
If YWVSQ is 25 - 23 - 21 - 19 - 17, Then MKIGF
The salary of a person was reduced by 25%. By what percent should his reduced salary be raised so as to bring it at par with his original salary?
Find the numbers which are in the ratio 5:2:4 such that the sum of the first and the second added to the difference of the third and the second is 18?
If m and n are even integers, which of the following is an odd integer?
By how much does the larger root of the equation 2a^2+5a = 12 exceed the smaller root?
The cross-section of a water channel is a trapezium in shape. If the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 880 square meters, what is the depth of the channel (in meters)?
At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?
Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 3 dollars .How many apples does she buy to share them equally between her six kids?
A and B complete a work in 4 days. A alone can do it in 6 days. If both together can do the work in how many days?
The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 6 years ago ? (RBI Assistant 2015)
How many prime numbers are between 25/3 and 84/6?
Two tables are purchased for the total cost of Rs. 5000. First table is sold at 40% profit and second at 40% loss. If selling price is same for both the tables, what is the cost price of the table that was sold at profit?
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 21. What is the last numbers?
Broke’s only source of income comes from his job as a question writer. In this capacity, Broke earns a flat salary of $200 per week plus a fee of $9 for every question that he writes. Every year, Broke takes exactly two weeks of unpaid vacation to visit his uncle, a monk in Tibet, and get inspired for the next year. If a regular year consists of 52 weeks and the number of questions that Broke wrote in each of the past 5 years was an odd number greater than 20, which of the following could be Broke’s median annual income over the past 5 years?
From a pack of 52 cards, 1 card is drawn at random. What is the probability that a jack, queen, or king is drawn?
At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 15 pumps work to empty the tank in 1 day?
Out of four consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
The average marks of a class of 40 students is 44 and that of another class of 45 students is 70. Find the average marks of all the students?
Of the families in City X in 1956, 25 percent owned a personal computer. The number of families in City X owning a computer in 1960 was 15 percent greater than it was in 1956, and the total number of families in City X was 5 percent greater in 1956 than it was in 1960. what percent of the families in City X owned a personal computer in 1960?
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 8 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
The average age of 28 students in a group is 16 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
Find the area of a triangle whose sides measure 13 cm, 14 cm and 15 cm.
In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?
The average age of the district level hockey team of eleven is 22 years.The average age gets no change when the coach age is also included.what is the age of the coach ?
Sneh's age is 1/6 th of her father's age. Sneh's father's age will be twice of Vimal's age after 10 years. If Vimal's eighth birthday was celebrated two years before, then what is Sneh's present age?