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big_math_dataset

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Martha has 6 dogs and 4 cats. She takes each animal separately for a daily walk. She can take the animals for a walk to the park or to the barber shop. How many different options for a walk with a single animal does Martha have?
128 students represent x percent of the boys at a school. If the boys at the school make up 50% of the total school population of x students, what is x?
If to a certain number, 720 be added, and the sum be divided by 125 ; the quotient will be equal to 7392 divided by 462. What is that number?
In a class, the average age of 35 boys is 10 years and the average of 25 girls is 15 years. what is the average age of the whole class?
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is?
From the below series find the remainder from below? 1201 × 1203 ×1205 × 1207 is divided by 6
a is x % of b, b is x% more than a. Find x.
A train 110 m long travels at 60 kmph. How long does it take to pass a telegraph post by the side of the track ?
The distance between two cities A and B is 465 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Can you solve the alphametic? ENLIST + SILENT + LISTEN = ANAGRAM
A man is 35 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
If (x + 2)(x - a) = px2x2 + qx + 8, what are the values of the constants a, p and q?
A grocer has a sale of Rs 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs, 6500 ?
A certain number when divided by 80 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
Write 870,000,000,000 in scientific notation.
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 13 cm.
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.
A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 50% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride ...
David is 18 years older than his daughter Rosy. In 6 years David will be twice as old as Rosy. What is Rosy current age.
Light glows for every 14 seconds . How many times did it between 1:57:58 and 3:20:47 am
The area of the cardboard(in cm2) needed to make a box of size 25 cm * 15 cm * 8 cm will be?
What annual installment will discharge a debt of Rs. 4600 due in 4 years at 10% simple interest?
What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
What approximate value should come in place of question mark (?) in the following equation 287.532 + 1894.029 – 657.48 = 643.095 + ?
If 5400 mn = k^4, where m, n, and k are positive integers, what is the least possible value of 2m + n?
A sum of money becomes triple itself in 5 years at simple interest. How many years will it become five times at the same rate?
Which of the following is satisfied with |x-4|+|x-3|<4?
Salley's internet provider offers unlimited traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when client's debt exceeds $5. If today in the morning Salley makes a payment of $7, for how many days, including today, will she be connected to the internet without any additional payments, ...
Rs.1010/- distributed among A,B and C such that on decreasing their shares by RS.25,RS.10 and RS.15 respectively, The balance money would be divided among them in the ratio 3:2:5. Then, C’s share is:?
A boat round trip in a river goes upstream at an average speed of 30 miles per hour. On the trip back downstream boat goes at an average speed of 90 miles per hour. What is her approximate average speed for the round trip in miles per hour?
The sum of all solutions for x in the equation x^2 – 8x + 21 = |x – 4|+ 3 is equal to:
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 C pay?
A train traveling at 42 kms/ hr passes a cyclist going in the same direction in 9 secs. If the cyclist had been going in the opposite direction, the train would have passed him in 5 secs. Find the length of the train.
Twenty eight meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
A car is traveling 68 kilometers per hour. How many meters does the car travel in one minute?
In a kilometer race, A beats B by 80 meters or 10 seconds. What time does A take to complete the race?
IF 2+3=10 ; 2+5=27 ; 2+7=53 Then 2+11=?
Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat?
The C.P of 15 books is equal to the S.P of 20 books. Find his gain% or loss%?
The lengths of the diagonals of a rhombus are 20 and 48 meters. Find the perimeter of the rhombus?
At present, the ratio between the ages of Arun and Deepak is 4:7. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
A survey was sent to 90 customers, 15 of whom responded. Then the survey was redesigned and sent to another 50 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
What is the lowest possible common multiple of 2 distinct integers, each greater than 135?
Two assembly line inspectors, Lauren and Steven, inspect widgets as they come off the assembly line. If Lauren inspects every fifth widget, starting with the fifth, and Steven inspects every third, starting with the third, how many of the 99 widgets produced in the first hour of operation are not inspected by either in...
The famous Denali Star train starts from anchorge & travels towards fair banksat speed 50 mph.After some time another train Glacier Discovery Train( At parallel track) at fair banks And moves towards Anchorge at a speed of 70 mph. Both the trains Denali star & Glacier discovery have a length 1/6 miles each .After the t...
in a triangle sides of triangle are ac=ln(n), ab=ln(8),bc=ln(50). what is the possible value of n?
What is the unit digit in {(6374)1793 x (625)317 x (341491)}?
If the list price of a book is reduced by Rs 5 then a person can buy 2 more books for Rs 300.the original cost of the book is
how many positive integers less than 1960 are such that the product of their digits is 10.
Express the following as a fraction 56%
A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
What is the least number which when divided by 5, 6, 9 and 12 leaves remainder 4 in each care?
In given series 56, 72, 90, 110, 132, 150 only one number is incorrect. Find out that wrong number
Hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench. If the total weight of two hammers and two wrenches is one-third that of 8 hammers and 5 wrenches, then the total weight of one wrench is how many times that of one hammer?
Two pipes A and B can fill a cistern in 15 and 20 minutes respectively, and a third pipe C can empty it in 30 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Express a speed of 72 kmph in meters per second?
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is
In a class, 6 students can speak Gujarati, 15 can speak Hindi and 6 can speak Marathi. If two students can speak two languages and one student can speak all the three languages, then how many students are there in the class
Mike and Fritz ran a 30-mile Marathon. Mike ran 10 miles at 10 miles per hour and then ran at 5 miles per hour for the remaining 20 miles.Fritz ran the first one-third (by time) of the run at 10 miles per hour and the remaining two-thirds of the run at 5 miles per hour. How much time in hours did Fritz take to complete...
A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?
A trumpet section includes two musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?
George takes 30 days to do a piece of work and Mark takes 45 days for the same work. For the first 15 days only George works. Then Mark also joins him. Find the time taken to complete the entire work.
There are 54 people in a certain community who belong to the local golf club, tennis club or both clubs. If twice as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
The average age of 3 girls is 16 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?
The H.C.F of two numbers is 23 and the other two factors of their L.C.M are 12 and 13. The larger of the two numbers is:
One drier dries certain quantity of material in 24 minutes. Another drier does the same work in 2 minutes how much time will it take to do the same job when both driers are put to work ?
A, B two inlet pipes takes 15,18 minutes to fill the tank and C an oulet pipe takes 45 minutes to empty the tank respectively. In what time the tank be filled if all of them are operated together?
A train 250 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:
If y is 50 percent greater than x, then x is what percent less than y?
The C.P of 15 books is equal to the S.P of 20 books. Find his gain% or loss%?
q, b, c, and d are positive integers. If the remainder is 9 when q is divided by b, and the remainder is 5 when c is divided by d, which of the following is NOT a possible value for b + d?
If Juan takes 15 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?
Solve This 6 + 7 = 12 8 + 9 = 16 5 + 6 = 10 7 + 8 = 14 Then, 3 + 3 = ??
If t > a and L < a, which of the following cannot be true?
Walking 6/7 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
If .003^4 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $56 more. What was his original selling price?
The side of a square is increased by 25% then how much % does its area increases?
Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 100 barrels of oil?
In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?
The operation # is defined for all nonzero d and y by d#y = d + d/y. If a>0, then 1#(1#a) =
A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?
Can you replace the question mark with the correct number, given the pair of numbers exhibits similar relationship? ? : 3839 :: 11 : 1209
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl ande 2 boys are selected is:
A bowl contains pecans, cashews, and almonds in a ratio of 3 : 4 : 6, respectively. If some of the nuts of one of the three types are removed, which of the following could be the ratio of pecans to cashews to almonds remaining in the bowl? i. 1 : 2 : 3 ii. 2 : 3 : 4 iii. 4 : 7 : 10
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?
The wages earned by Robin is 49% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much % is the wages earned by Charles more than that earned by Robin?
Based on this year's costs, a builder budgets P dollars for planing N new buildings next year. If the average cost of building each building were to increase 10% from this year's cost, then the greatest number of buildings that the builder could build next year using P dollars would be:
If any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 6 time the part of C .Find the ratio among their parts.
At present the ratio between the ages of Arun and Deepak is 2:3. After 5years, Arun's age will be 25 years. What is the age of Deepak at present?
It takes Machine A 32 minutes to fill a water tank.Another Machine B takes 6 minutes to fill the same water tank. If both machines are put to work , how long would it take to fill same water tank?
What will the ratio of simple interest earned by certain amount at the same rate of interest for 3 years and that for 15 years.
The population of a town increased from 1,75,000 to 2,62,500 in a decade. What is the average percent increase of population per year?
A train runs across a post in 15 seconds and across a platform of length 100m in 25 seconds. Determine the length of this train:
The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $30 less. What was the total cost cost of the vacation?
The length of the bridge, which a train 475 metres long and travelling at 90 km/hr can cross in 30 seconds, is:
If y is 75% greater than x, than x is what % less than y?
While planning their outing, Abhishek understood that their boat could travel with a speed of 12kmph in still water.The group decided to travel 24 minutes downstream. Aarti had prior experience in that route and mentioned that the speed of stream was 4kmph.How many kms will the group travel downstream?
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?