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big_math_dataset

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The ratio of alcohol and water in three mixtures of alcohol and water is 3:2, 4:1, and 7:3. If equal quantities of the mixture are drawn and mixed, the concentration of alcohol in the resulting mixture will be?
A and B started a business with initial investments in the ratio 8 : 3, after some months B withdrawn his investment, and their share in the annual profits were in the ratio 8 : 7. Then how long B was in the business ?
A deer is standing 50 meters in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 80 meters from the tunnel. If the deer ran in the opposite direction it would barely escape out the eastern entrance just as the train came out of the eastern entrance. How long is the tunnel in meters?
If k and t are integers and k^2 – t^2 is an odd integer, which of the following must be an even integer? I. k + t + 2 II. k^2 + 2kt + t^2 III. k^2 + t^2
Find the number that fits somewhere into the middle of the series. Some of the items involve both numbers and letters Look at this series: D12, H16, __, P24, T28, ... What number should fill the blank?
Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 18 kmph and Prasanna moves southward at a speed of 27 kmph. How far will be Prasanna from Laxmi after 60 minutes ?
A boat can travel with a speed of 42 km/hr in still water. If the speed of the stream is 10 km/hr, find the time taken by the boat to go 94 km downstream
The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 8400 for a computer table, then what was the cost price of the computer table?
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
Some consecutive natural numbers, starting with 1, are written on the board. Now, one of the numbers was erased and the average of the remaining numbers is 800/39. Find the number which was erased.
What is the least common multiple of 152 and 190?
The speed of a boat in still water in 42 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 44 minutes is:
The price of a car depreciates in the first year by 25% in the second year by 20% in third year by 15% and so on. The final price of the car after 3 years, if the present cost of the car is Rs. 10,00,000 :
42.11 + 356.032 + 42.98 = ?
In objective test a correct ans score 4 marks and on a wrong ans 2 marks are ---. a student score 480 marks from 150 question. how many ans were correct?
When integer m is divided by 30, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ? I. 3m II. 7m III. 4m + 10 IV. 6m V .5m
A dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg, what is his percent?
A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of his total marks in English. How much does he score in English?
In the first week of last month, Company X realized an average wholesale profit of $7140 per day from the sale of q units of Product Y. Which of the following CANNOT be the difference between Product Y’s sale price and cost per unit?
Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ?
261 ÷ ? × 15 + 270 = 405
Paul sells encyclopedias door-to-door. He earns $150 on every paycheck, regardless of how many sets he sells. In addition, he earns commission as follows: Commission Sales 10% $0.00 - $10,000.00 5% $10,000.01 ---> He does not earn double commission.That is, if his sales are $12,000, he earns 10% on the first $10,000 and 5% on the remaining $2,000. His largest paycheck of the year was $1,320. What were his sales for that pay period?
The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
A not-so-good clockmaker has four clocks on display in the window. Clock #1 loses 35 minutes every hour. Clock #2 gains 15 minutes every hour relative to Clock #1 (i.e., as Clock #1 moves from 12:00 to 1:00, Clock #2 moves from 12:00 to 1:15). Clock #3 loses 20 minutes every hour relative to Clock #2. Finally, Clock #4 gains 20 minutes every hour relative to Clock #3. If the clockmaker resets all four clocks to the correct time at 12 noon, what time will Clock #4 display after 6 actual hours (when it is actually 6:00 pm that same day)?
How many two-digit numbers yield a remainder of 2 when divided by both 7 and 16?
A shopkeeper sold an article offering a discount of 5% and earned a profit of 18.75%. What would have been the percentage of profit earned if no discount was offered?
An article was sold after a discount of 20% and therewas a gain of 20%. If the profit madeon it was Rs.6 less thanthe discount offered on it, find its SP?
A thief is noticed by a policeman from a distance of 150 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ?
Arun has certain number of books. It is not less than 15 and not more than 30. If he wants to give these books equally to 2 of his friends, then 1 book will remain. If he wants to give these books equally to 3 of his friends, then 2 books will remain. If he wants to give these books equally to 4 of his friends, then 3 books will remain. What is the number of books he had?
What is the remainder when 4^381 is divided by 5 ?
The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
An investment gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?
If the compound interest on a certain sum of money for 7 years at 10% per annum be Rs. 993, what would be the simple interest?
What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3?
A certain restaurant offers 7 different salads, 5 different main courses, and 6 different desserts. If customers choose one salad, one main course, and two different desserts for their meal, how many different meals are possible?
Because of the economic slowdown, a multinational company curtailed some of the allowances of its employees. John, the marketing manager of the company whose monthly salary has been reduced to Rs.42,000 is unable to cut more on his expenditure. He finds that there is a deficit of Rs.2,000 between his earning and expenses in the first month. This deficit, because of inflationary pressure, will keep on increasing by Rs.500 everymonth. John has a saving of Rs 60,000 which will be used to fill the deficit. After his savings get exhausted, John would start borrowing from his friends. How soon will he start borrowing?
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
If w < y < -1, which of the following is true?
A rope of which a calf is tied is increased from 16 m to 23 m, how much additional grassy ground shall it graze?
How many numbers from 19 to 79 are exactly divisible by 11?
Miller Street begins at Baker Street and runs directly east for 4.5 kilometers until it ends when it meets Turner Street. Miller Street is intersected every 250 meters by a perpendicular street, and each of those streets other than Baker Street and Turner Street is given a number beginning at 1st Street (one block east of Baker Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Turner Street. What is the highest-numbered street that intersects Miller Street?
Faiza has 9 purses, she gives 3 purse as gift. Now how many purse did she have?
A lawyer's representation costs $150 for the first hour and $125 for each additional hour. What is the total cost, in dollars, of her representation for m hours, where m is an integer greater than 1?
One year ago the ratio between Samir and Ashok’s age was 4:3. One year hence the ratio of their ages will be 5 :4. What is the sum of their present ages in years?
A certain company has 18 equally qualified applicants for 4 open positions. How many different groups of 4 applicants can be chosen by the company to fill the positions if the order of selection does not matter?
What is the square root of 0.16
What is the rate percent when the simple interest on Rs.4000 amount to Rs.320 in 2 Years?
When n is divided by 20, the remainder is 5. What is the remainder when n + 16 is divided by 5?
The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10, respectively. Due to a dramatic increase in the surrounding temperature, the composition of the compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the changed compound, if the total weight is 174 lbs, how much does substance x weigh?
In how many years, Rs. 200 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
On one side of a coin there is the number 0 and on the other side the number 1. What is the probability that the sum of three coin tosses will be 0 ?
At a party, there were five ten as many females as males and four times as many adults as children. Which of the following could be the number of people at the party?
Every disk in a bag is either blue, yellow or green. The ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8. If the total number of disks in the bag is 144, how many more green disks than blue disks are in the bag?
What approximate value should come in place of the question mark (?) in the following equation? 8.539 + 16.84 × 6.5 ÷ 4.2 = ?
In a graduating class of 233 students, 144 took geometry and 119 took biology. What is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
A pupil’s marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of pupils in the class is:
A group of medical interns at Bohemus Medical School want to go on dates. There are 8 girls and 8 guys. Assuming girls go on dates with guys, how many possible ways can these 16 medical interns date each other?
Find the invalid no.from the following series 2,3,12,37,86,166,288
In what ratio must water be added to 10 litres of milk at Rs.20 per litre so that cost of mixture is Rs.16 per litre?
If xy ≠ 0 and x^2y^2 − 2xy = 24, which of the following could be y in terms of x? I. 6/x II. -4/x III. 1/x
In a shop, 40% socks are white and rest are black. 60% socks are made of cotton and rest are made of wool. 25% white socks are made of cotton and 20 of the black socks are made of wool. How many black socks D are made of cotton?
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when No boy gets more than one prize?
Points M(13,22) and N(5,8) lie on the xy - plane. What is the midpoint of line segment MN?
In a certain district, the ratio of the number of registered Republicans to the number of registered Democrats was 3/5. After 600 additional Republicans and 500 additional Democrats registered, the ratio was 4/5. After these registrations, there were how many more voters in the district registered as Democrats than as Republicans?
The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 867 sq m, then what is the breadth of the rectangular plot?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
what is the next term of this series6,10,9,15,12,20,15...?
Light glows for every 20 seconds . How many max. times did it glow between 1:57:58 and 3:20:47 am.
Andrew started saving at the beginning of the year and had saved $160 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
All the water in container A which was filled to its brim was poured into two containers B and C. The quantity of water in container B was 62.5% less than the capacity of container A. If 148 liters was now transferred from C to B, then both the containers would have equal quantities of water. What was the initial quantity of water in container A?
How many words with or without meaning, can be formed by using all the letters of the word, ‘RAM’, using each letter exactly once?
As part of a game, two people each must secretly choose an integer between 1 and 2, inclusive. What is the approximate likelihood that all two people will choose different numbers?
Find (7x + 8y ) / (x-2y) if x/2y = 3/2 ?
Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
80 pie square inches of material of negligible thickness are required to construct a 1/16 scale model of a cylindrical barrel. If the diameter of the base of the barrel is 160 inches, then what is the volume of the barrel, to the nearest cubic foot?
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
What is the units digit of (147^17)^47 ?
P is three times as old as Q. In 9 years, P will be twice as old as Q. How old was P three years ago?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
On a track for remote controlled racing cars, racing car A completes the track in 55 seconds, while racing car B completes it in 36 seconds. If they both start at the same time after how many seconds will they be side by side again.
Data sufficiency question: Is x has only '3' factors?
Ramesh can finish a work in 15 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
A manufacturer undertakes to supply 2000 pieces of a particular component at Rs.25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out, 50% of the components were rejected. What is the loss to the manufacturer?
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 25 as remainder. Find the no. is?
A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?
A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.3 centimeter. The actual diameter of the tissue, in centimeters, is
P, Q and R have Rs.6000 among themselves. R has two-thirds of the total amount with P and Q. Find the amount with R?
A 5-letter code word consists of letters A, B, C and D. If the code includes all the gour letters, how many such codes are possible?
Varma can read a book in k minutes. What part of the book can he read in 4 minutes?(k>8)
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
A mixture contains milk and water in the ratio 5:4. On adding 30 litters of water, the ratio of milk to water becomes 5:7. Total quantity of milk & water before adding water to it?
While house hunting in London, I came across a very good leasehold property Discussing the lease the landlady told me: The property was originally on a 99 years lease and two-thirds of the time passed is equal to four-fifths of the time to come. Now work it out for yourself and see how many years are to go!
If {h} denote the remainder when 3h is divided by 2 then which of the following is equal to 1 for all positive integers h? I. {2h+1} II. {2h}+1 III. 2{h+1}
At what price must an article costing Rs.150 be marked in order that after deducting 10% from the list price. It may be sold at a profit of 30% on the cost price?
A boat can travel 1.5 times the distance down the stream than up the stream in the same time. If the speed of the current is 4 KMPH, Find the speed of the boat in still water
Set A consists of all the prime numbers between 15 and 36. What is the range of set A?
Peter has six times as many dimes as quarters in her piggy bank. She has 21 coins in her piggy bank totaling $2.55 How many of each type of coin does she have?