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big_math_dataset

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How many words can be formed by using all letters of the word ‘RIO’ ?
What is the twenty-third decimal to the right in the fraction 23/24?
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 3 years and that for 9 years?
for which value of n, 4^85+2^3373+4^n will be the perfect square ??
A driver goes on a trip of 60 kilometers, the first 30 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?
Eight cards numbered from 1 to 8 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 10, what is the probability that one of the two cards drawn is numbered 4?
A train passes a station platform in 32 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?
8k8 + k88 -------- 1,6e6 If k and e represent non-zero digits within the integers above, what is e?
in a bus left side are 15 seats available,3 few seats in right side because in rear exit door .Each seat hold 3 people.In addition ,there is a seat back can sit 7 people all together .how many people can sit in a bus?
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 24 minutes. The waste pipe can empty the full cistern in?
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
If p is even and q is odd, which of the following is odd?
If x and y are positive integers and 20x=10y what is the least possible value of xy?
A hat vendor bought hats at Rs 5 per 3 hats. He sold them at Rs 10 per 4 hats. What was his profit percentage?
A man is 32 years older than his son. In six years, his age will be twice the age of his son. The present age of this son is
A reduction of 15% in the price of oil enables a house wife to obtain 4kgs more for Rs.1200, what is the reduced price for kg?
How many positive integers less than 255 are multiple of 4 but NOT multiples of 6?
Rice weighing 3power3/4 pounds was divided equally and placed in 4 containers. how many ounces of rice were in each?
Without stoppages a train travels a certain distance with an average speed of 80 kmph and with stoppages it covers the same distance with an average speed of 40 kmph. What is the time in minutes per hour for which train stops?
One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number?
A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age one years back was?
A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 6 kilometers per hour. It returns by the same route at an average speed of 5 kilometers per hour. What is the average speed for the round-trip in kilometers per hour?
Determine a man’s present age if his present age is 125% of his age 10 years ago and 83.333% of his age 10 years from now.
A boat can travel with a speed of 40km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 45km downstream.
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
Kathy has 34 tokens for the bus. She uses three tokens a week. How many weeks can Kathy use the bus before she has to buy more tokens?
The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?
A coin is tossed 4 times. What is the probability z that the number of Heads is equal to the number of Tails?
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
Convert 300 inches into centimeter?
On a certain Monday, Carlos drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 60 miles per hour. Which of the following is closest to his average speed for both trips combined?
nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
What could be the range of a set consisting of odd multiples of 11?
A, B and C started a shop by investing Rs. 2,000, Rs. 6,000 and Rs. 2,000 respectively. At the end of the year, the profits were distributed among them. If C’s share of profit be Rs. 300, then the total profit was :
Ross has 40 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 312 votes. Find the number of votes casted to the winning candidate?
Ten women can do a work in six days. Six men can complete the same work in five days. What is the ratio between the capacity of a man and a woman?
What is the sum of the different positive prime factors of 320?
There are some pigeons and hares in a zoo. If heads are counted, there are 100. If legs are counted, there are 580. The number of hares in the zoo is?
What annual installment will discharge a debt of Rs. 1176 due in 3 years at 12% simple interest?
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has?
A is three years older than B who is thrice as old as C. If the total of the ages of A, B and C be 27, the how old is B?
Suganya and Suriya are partners in a business. Suganya invests Rs. 32,000 for 8 months and Suriya invests Rs.28,000 for 10 months. Out of a profit of Rs.30,570. Suganya's share is
John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment E that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
There are 24 students in Chad’s class. He brought 25 cookies to pass out for his birthday. How many cookies will each student get? Will there be any cookies left over?
John weighs twice as much as Susan. Susan's weight is 60% of Sam's weight. Mark weighs 50% of Lynn's weight. Lynn weighs 160% of John's weight. Which of these 5 people weighs the least?
The least common multiple of positive integer m and 3-digit integer n is 690. If n is not divisible by 3 and m is not divisible by 2, what is the value of n?
A student was asked to find 4/5 of a number. But the student divided the number by 4/5, thus the student got 27 more than the correct answer. Find the number.
Find the next number in the Sequence 3, 8, 23, 48, ?
A library has an average of 150 visitors on sundays and 120 on other days . The avearge number of visitors per day in a month of 30 days beginning with a sunday is?
A fold density is 19 times greater than the water and for copper it is 9 times. At what ratio you can mix gold and copper to get 15 times denser than water. ?
Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7200 km and comes back to the starting point. The total time taken by him is:
The number of arrangements that can be made with the letters of the word MEADOWSS so that the vowels occupy the even places?
What should come in place of the question mark (?) in the following equation? 45789+ 34567 = 610+ ?
Today is Monday.After 61 days,it will be
If 2 men or 3 women can reap a field in 8 days how long will 3 men and 4 women take to reap it?
If x is an integer, then x(x – 1)(x – k) must be evenly divisible by 4 when k is any of the following values EXCEPT
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 5m3 , then the rise in the water level in the tank will be:
In how many ways can the letters of the word 'PRAISE' be arranged. So that vowels do not come together?
What is the remainder when 1271 * 1275 * 1277 *1289 is divided by 12?
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 70, the dividend is:
A class consists of 6 boys and 5 girls. Given that one kid can only hold one title, in how many ways can you pick 2 boys to be the class clown and the teacher's pet or 2 girls to be the most beautiful girl in class and the smartest kid on the block?
The value of land increases by u% during June and decreases by v% during July. If the value of the land is the same at the end of July as at the beginning of June, what is v in terms of u?
A cricket bat is sold for $900, making a profit of $100. The profit percentage would be
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
The average weight of A, B and C is 75 kg. If the average weight of A and B be 88 kg and that of B and C be 72 kg, then the weight of B is:
Tough and Tricky questions: Work/Rate Problems. If it takes 60 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?
A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work , how much time shall B take to do it ?
A man has some hens and cows. If the number of heads be 50 and the number of feet equals 140, then the number of hens will be:
There is a five-digit number. The fifth digit is one fourth of the third digit and one half of the fourth digit. Third digit is one half of the first digit. Second digit is 5 more than the fifth digit. What is that 5-digit number?
When a is divided by b the remainder is 13.When c is divided by d the remainder is 12. If a,b,c,d are all positive integers then which of these may be the value of b+d?
The age of Somu is one-third his father's. 10 years back he was one-fifth of his father's age. What is his persent age ?
A secret can be told only 2 persons in 5 minutes .the same person tells to 2 more persons and so on . How long will take to tell it to 768 persons ?
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 12 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Look at this series: J14, L16, __, P20, R22, ... What number should fill the blank?
After decreasing 24% in the price of an article costs Rs.1140. Find the actual cost of an article?
Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
A farmer is planting a row consisting of 3 unique apple trees and 4 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
Two trains of equal lengths take 10 sec and 20 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
A car mechanic purchased four old cars for Rs. 1 lakh. He spent total 2 lakh in the maintenance and repairing of these four cars. what is the average sale price of the rest three cars to get 90% total profit if he has already sold one of the four cars at Rs. 1.2 lakh?
Due to 10% decrease in the price of sugar and John can buy 2kg more sugar in Rs100 , then find the CP of sugar?
Find the mean proportional between 36 & 49?
At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/3 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades a...
The area of a triangle is with base 4m and height 5m?
Rajan and Rakesh started a business and invested Rs. 20,000 and Rs. 25,000 respectively. After 4 months Rakesh left and Mukesh joined by investing Rs. 15,000. At the end of the year there was a profit of Rs. 4,600. What is the share of Rajan?
In a 200 Meter race A beats B by 35 Meters in 7 seconds. A's time over the cause is?
At a garage sale, all of the items were sold at different prices. If the price of a radio sold at the garage sale was both the 15th highest price and the 22nd lowest price among the prices of the items sold, how many items were sold at the garage sale?
If the average (arithmetic mean) of a and b is 110, and the average of b and c is 150, what is the value of a − c?
A mixture of 150 liters of wine and water contains 15% water. How much more water should be added so that water becomes 25% of the new mixture?
If n = 5^11 – 5, what is the units digit of n?
A man leaves a point P at 6 a.m. and reaches the point Q at 10 a.m. another man leaves the point give at 8 a.m. and reaches the point P at 12 noon. At what time do they meet?
The length of a rectangle is reduced by 15%. By what % would the width have to be increased to maintain the original area?
he total marks obtained by a student in Physics, Chemistry and Mathematics is 150 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?
A three-digit positive integer is chosen at random. What is the probability that the product of its digits is even?
Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
How many seconds will a train 100 meters long take to cross a bridge 160 meters long if the speed of the train is 36 kmph?
Find all rational zeros of P(x) = x3*cubic* - 7x + 6.