Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
Community
1
question
stringlengths
3
1.14k
The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
. A question paper consists of five problems, each problem having three internal choices. In how many ways can a candidate attempt one or more problems?
Tough and Tricky questions: Word Problems. It takes Sarah 44 minutes to do one oil change, and it takes Alice 20 minutes. If Sarah and Alice both begin doing oil changes at exactly 9:00 a.m. without pausing, when is the first time at which they will finish changing the oil of a car simultaneously?
A lady grows Broccoli in her garden that is in the shape of a square. Each Broccoli takes 1 square foot of area in her garden. This year, she has increased her output by 79 Broccoli when compared to last year. The shape of the area used for growing the Broccoli has remained a square in both these years. How many Broccoli did she produce this year?
In the xy-plane, line h passes through point (3,-2) and intersect perpendicularly with line n that passes through points (0,3) and (3,5). What is the equation of line h?
For which of the following functions does f(−z)=−f(z) for all real number values of x?
111 = O, 222 = E, 333 = T, 444 = S, Reading and analyzing the above, can you find out the following ? 555 = ?
Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 8 years more than the present age of Anand. Find the present age of Anand?
If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 18 hrs and a machine of type S does the same job in 9 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
A vessel of capacity 2 litre has 30% of alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 15 terms of the arithmetic progression?
A tortoise was walking on a 700-feet circular path in a garden at a rate of 100 feet per hour. One hour after the tortoise started, a hare started running from the same starting point on the path at 200 feet per hour. What is the shortest time that the hare could need in order to catch up with the tortoise?
A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are fused and he is completely in the dark. How many socks must he take out to make 100 per cent certain he has a pair of black socks?
A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?
In a class there are less than 500 students.When it is divided by 3 it gives a whole number. Similarly when it is divided by 4, 5 or 7 gives a whole number. Find the number of students in the class?
A milk man borrowed 2,500 from two money lenders. For one loan, he paid 5% p.a. and for the other, he paid 7% p.a.The total interest paid for two years was 275. How much did he borrow at 7% rate?
Sequence G consists of 16 consecutive integers. If -6 is the least integer in sequence G, what is the range of the positive integers in sequence G?
Worldwide production of motor vehicles was 3.9 million vehicles in 1946 and 49 million in 1987. Of the following, which is closest to the average (arithmetic mean) annual increase, in millions, in worldwide production of motor vehicles during this period?
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 86.12, what is the value of y?
During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 30% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ?
A boat M leaves shore A and at the same time boat B leaves shore B. They move across the river. They met at 500 yards away from A and after that they met 300 yards away from shore B without halting at shores. Find the distance between the shore A & B.
Three numbers are in the ratio 3:4:5 and their L.C.M is 2400. Their H.C.F is?
On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 50% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill 1/64 of the dish?
If the average (arithmetic mean) of 5 positive temperatures is z degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:
Find number which is 60% less than 120.
A shopkeeper marks the price of his goods at 25% higher than the original price. After that, he allows a discount of 12%. What profit or loss does he get?
Sandy buys an old scooter for $800 and spends $200 on its repairs. If Sandy sells the scooter for $1400, what is the gain percent?
Sam bought a container of cashew for Rs.2200000 weighing 14 tons. Packed it in a package of 1 kg and sold the package for Rs. 200. What is the % of profit Sam has made?
Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 249 marks in the second test and failed by 66 marks in that test. Find the pass mark in the first test?
The quantities S and T are positive and are related by the equation S=K/T, where k is a constant. If the value of S increases by 70 percent, then the value of T decreases by what percent?
John was 19 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty's age is now 7/8 of John's. How old is Betty?
Find the area of a parallelogram with base 25 cm and height 15 cm?
If x, y and r are positive integers greater than 1, and x and y are factors of r, which of the following must be the factor of r^(xy)? I. x+y II. y^x III. x^2 * y^2
If the number 5 * 2 is divisible by 6, then * = ?
What is the next number in the series? 2,4,7,10,15,18,....
The tax on a commodity is diminished by 25% and its consumption increased by 15%. The effect on revenue is?
In a certain pond, 60 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
A bank pays interest to its customers on the last day of the year. The interest paid to a customer is calculated as 10% of the average monthly balance maintained by the customer. John is a customer at the bank. On the last day, when the interest was accumulated into his account, his bank balance doubled to $5620. What is the average monthly balance maintained by John in his account during the year?
What sum of money will produce Rs.80 as simple interest in 4 years at 3 1/2 percent?
If 0.75 of a number is equal to 0.025 of another number, the ratio of the numbers is :
The length of a rectangle is halved, while its breadth is tripled. Wat isthe % change in area?
If a pair of opposite sides of a square is increased by 5cm each, then the ratio of the sides of the new figure is 3 : 2. What is the original area of the square?
There are 150 'zeroes' and 151 'ones' written on a black board. A step involves choosing three digits and replacing them with a single digit. If all the three digits are identical, they are replaced with the same digit. Otherwise, the digit that appears twice replaces the three chosen digits. What is the minimum number of steps after which there will be no zero written on the blackboard?
A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 6,000 meters of fabric?
A man can hit a target once in 3 shots. If he fires 4 shots in succession, how many ways that he will hit his target?
Identify the next two numbers in this Sequence ? 101, 112, 131, 415, 161, 718, ???, ???
How many diagonals does a 59-sided convex polygon have?
An inspector rejects 0.04% of the meters as defective. How many will he examine to reject 2?
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 150, the runs scored by B are? A. 15 B. 18
An bus covers a certain distance at a speed of 250 kmph in 5 hours. To cover the samedistance in 1hr, it must travel at a speed of?
Number of prime numbers between 30 and 50 is
If V = {1, 7, 18, 20, 29, 33}, how much less is the mean of the numbers in V than the median of the numbers in V?
The compound interest accrued on an amount of Rs.44000 at the end of two years is Rs.1193.60. What would be the simple interest accrued on the same amount at the same rate in the same period?
A tank has an inlet and outlet pipe. The inlet pipe fills the tank completely in 2 hours when the outlet pipe is plugged. The outlet pipe empties the tank completely in 6 hours when the inlet pipe is pluggeed. If there is a lekage also which is capable of draining out the liquid from the tank at half of the rate of outet pipe,them what is the time taken to fill the emty tank when both the pipes are opened?
P & Q sitting in a circular arrangement with 10 persons. What is the probability that P & Q will sit together?
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
On a certain day, Tim invested $600 at 10 percent annual interest, compounded annually, and Lana invested 800 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his total dividend per annum is Rs. 1310, how much does he invest in 12% stock at Rs. 120?
When an amount was distributed among 14 boys, each of them got rs 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
A table is bought for Rs.950/- and sold at Rs.800/- find the loss percentage
It takes eleven minutes to load a certain video on a cellphone, and fifteen seconds to load that same video on a laptop. If the two devices were connected so that they operated in concert at their respective rates, how many seconds would it take them to load the video, rounded to the nearest hundredth?
A sum of money deposited at C.I. amounts to Rs.1980 in 3 years and to Rs.2492 in 4 years. Find the rate percent?
13 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?
Madhu started a business and he invested in 76000, After some month, Amar came to join with him and invest 57000.The end of the year the total profit was divided among them into ratio form 2 : 1.Find after how many months Amar join?
Steve traveled the first 2 hours of his journey at 35 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?
A train covers a distance of 12 km in 10 min. If it takes 7 sec to pass a telegraph post, then the length of the train is?
96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
If a/x = 1/3 and a/y =1/ 5, then (x + y) =
A scooter costs 45,000 when it is brand new. At the end of each year, its value is only 80% of what it was at the beginning of the year. What is the value of the scooter at the end of 3 years?
Which of the following equivalent to (1/343)^2?
Company ABC imported 10,000 widgets made of either brass or aluminum. The widgets are painted blue, red or green. If 10 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported?
† and ¥ represent nonzero digits, and (†¥)^2 - (¥†)^2 is a perfect square. What is that perfect square?
Today Joelle opened an interest-bearing savings account and deposited $10,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
Find the L.C.M of 42,88,220
√2 percent of 2√2 =
A bike covers a certain distance at the speed of 45km/h in 5 hrs. If the bike was to cover the same distance in approximately 9 hrs, at what approximate speed should the bike travel?
There are three numbers. 5/7th of the first number is equal to 48% of the second number. The second number is 1/9th of the third number. If the third number is 1125, then find 25% of the first number?
The probability that a card drawn from 52 cards will be a diamond or a king is ?
A and B start a business with Rs.2000 and Rs.4000 respectively. Hoe should they share their profits at the end of one year?
How many kgs. of wheat costing Rs. 5 per kg must be mixed with 45 kg of rice costing Rs. 6.40 per kg so that 20% gain may be obtained by selling the mixture at Rs. 7.20 per kg ?
One-third less than 25% of 180 is equal to:
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
A person borrows 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 61⁄4 % p.a. for 2 years. Find his gain in the transaction per year.
A, B and C invests Rs.2000, Rs.3000 and Rs.4000 in a business. After one year A removed his money; B and C continued the business for one more year. If the net profit after 2 years be Rs.3200, then A's share in the profit is?
Draw one card from an ordinary deck of card and what are the chances it will be a King or Club?
A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If a and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of a and n?
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. 700 more than D, what is B's share?
Approximately how many cubic feet of water are needed to fill a circular swimming pool that is 100 feet across and 4 feet deep?
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 140 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 25 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
In how many years Rs 160 will produce the same interest at 8% as Rs. 500 produce in 4 years at 8%
Revenues were recorded for Store A and Store B over a period of three months. In the first month, Store A's revenues were $40,000 higher than Store B's revenues. In the second month, Store A's revenues were $10,000 higher than Store B's revenues. If Store A's average (arithmetic mean) monthly revenue for the three months was $2,000 greater than Store B's average monthly revenue, then Store B's revenue in the third month was how much greater than Store A's revenue?
7^6 + 7^6 + 7^6 + 7^6 =
The value of x + x(x^x) when x = 3 is