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big_math_dataset

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A boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes. How long will it take to go 5 km in stationary water?
To a sugar solution of 3 litres containing 40% sugar, one litre of water is added. The percentage of sugar in the new solution is ?
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. 1/11 II. 1/10 III. 1/10
If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true? I. a + b + c > a^3 II. a × b × c < a^3 III. 4b < bc
If the product of the integers from 1 to n is divisible by 210, what is the least possible value of n?
The probability that A speaks truth is 5/9 and that of B speaking truth is 7/11. What is the probability that they agree in stating the same fact?
A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 40 km / hr. In the return trip, he covers the same distance at an average speed of 20 km / hr. The average speed of the car over the entire distance of 400 km / hr.
If the selling price of 8 articles is same as the cost price of 10 articles. Find the gain or loss percentage?
Find the value of x when the average of 3x,(5x+6),(7x-4) is 51?
The average speed of a train running at a speed of 30 km/hr during the first 100 kilometres, at 40 km/hr during the second 100 kilometres and at 50 km/hr during the last 100 kilometres is nearly?
The age of man is three times the sum of the ages of his two sons.Five years hence,his age will be double of the sum of the ages of his sons.The father's present age is :
y w v t r p n Next letter in the series
On a certain number line, conditions are x<Y<z<U<v. xyzuv>0 Which of the following must be true? I xy>0 II zu>0 III uv>0
(0.96)(power 3) - (0.1)(power 3)/ (0.96)(power 2) + 0.096 + (0.1)(power 2) is:
Peta 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?
Two dice are thrown together. What is the probability that the sum of the number on the two faces is divided by 4 or 6
The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is?
The average mark of the students of a class in a particular exam is 65. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
The function f is defined for all positive integers m by the following rule. f(m) is the number of positive integers each of which is less than m and has no positive factor in common with m other than 1. If q is any prime, number then f(q)=
The average age of father and his two sons is 27 years. The difference in age between the two sons is 4 years and five years ago the average age of the two sons was 12 years. What is the present age of the father?
A table is bought for Rs.940/- and sold at Rs.1040/- find the loss percentage
A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 370 items for $150 each, what will her monthly salary be?
In how many different ways can change be provided for a one dollar bill using pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents), if at least one of each type of coin must be included?
A library has an average of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is?
In aquarium A there are 2 yellow fish and 2 green ones, in aquarium B there are 3 yellow fish and 4 green ones. An aquarium is chosen at random, what is the probability of picking up a green fish out of aquarium A?
What is the smallest no. which must be added to 3245613 so as to obtain a sum which is divisible by 11?
4,7,15,31,35,19,11,?
What will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of Rs. 10 per square meter ?
TOM traveled the entire 80 miles trip. If he did the first 30 miles of at a constant rate 30 miles per hour and the remaining trip of at a constant rate 50 miles per hour, what is the his average speed, in miles per hour?
Find the odd man out.10, 25, 45, 50, 66, 70, 80
The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side
In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
Let Tn be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If Tn+1−Tn=10Tn+1−Tn=10, then the value of n is
A firm has 4 senior partners and 6 junior partners. How many different groups W of 3 partners can be formed in which at least one member of the group is a senior partner. (2 groups are considered different if at least one group member is different)
If the value of a piece of land decreases by 10% while the new tax rate on the land represent 110% of the original tax rate, what is the effect on the taxes?
If John takes 15 minutes to eat x raisins, how many seconds will it take him to eat z raisins, assuming he continues to eat at the same rate?
The sum of all the integers k such that –21 < k < 24 is
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 4 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
A boat can move upstream at 25 kmph and downstream at 30 kmph, then the speed of the current is?
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
If 2^2n + 2^2n + 2^2n + 2^2n = 4^22, then n =
If the selling price of 100 articles is equal to the cost price of 40 articles, then the loss or gain percent is:
At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 9 students left the lab, how many students were in the computer lab at 15:44 ?
A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 13. The rate of interest obtained is:
w,x,y,z is an arithmetic sequence, which of the following options also qualifies as an arithmetiv sequence? I. w-6,x-6,y-6,z-6 II. 5w,2x,3y,5z III. 5w,5x,5y,5z
3 candidates in an election and received 1036, 4636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If ...
At what rate percent on simple interest will a sum of money double itself in 30 years?
An empty fuel tank with a capacity of 208 gallons was filled partially with fuel A and then to capacity with fuel B. Fuel A contains 12% ethanol by volume and fuel B contains 16% ethanol by volume. If the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel A were added?
What is the greatest value of m such that 4^m is a factor of 27! ?
A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?
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?
Which of the following fractions is greater than 3 /4 and less than 5 / 6 ?
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
The average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. What is the correct weight?
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
A train crosses a pole in 10 sec and a 200m long platform in 20 sec. What is the length of the train?
Three candidates contested in an election and received 3136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $4 that a millionaire spends, a yuppie spends the equivalent of $2. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'?
The average age of students of a class is 15.8 years. The average age of boys in the class is 16.3 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is?
A person lent a certain sum of money at 4% per annum at simple interest and in 8 years the interest amounted to Rs.340 less than the sum lent. What was the sum lent?
By how much is 12% of 24.2 more than 10% of 14.2 ?
In a certain population, there are 3 times as many people aged twenty or under as there are people over twenty. The ratio of those twenty or under to the total population is
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If three marbles are drawn what is the probability that one is yellow and two are red?
A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for Rs. 30.09, there by earning a profit of 25%. The cost price for the manufacturer is?
The average age of 19 boys and the class teacher is 16 years. If the ages of the class teacher and one of the boys are excluded, the average age reduces to 15 years. What is the age of the class teacher ?
Ramesh can finish a piece of work in 22 days. Rohan is twice as efficient as Ramesh. If they work together how many days will they need to finish the same amount of work?
The average age of 19 students in a group is 17 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
The banker's gain on a bill due due 1 year hence at 12% per annum is Rs.6. The true discount is
A group of 6 fishermen chartered a boat for a day to fish for flounder. The boat costs x dollars per day to rent. If the group can find 3 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of x?
A scale 6 ft. 8 inches long is divided into 5 equal parts. Find the length of each part.
The average age of a group of 10 students was 20. The average age increased by 4 years when two new students joined the group. What is the average age of the two new students who joined the group?
A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king?
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Company C sells a line of 20 products with an average retail price of $1,200. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?
Find the odd man out. 7, 14, 21, 28, 35, 50, 56
A and B started a business in partnership investing Rs.20,000 and Rs.15,000 respectively. After six months, C joined them with Rs.20,000. What will be B's share in the total profit of Rs.25,000 earned at the end of 2 years from the starting of the business?
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
How many iron rods, each of length 7 m and diameter 2 cm can be made out of 0.88 cubic meter of iron?
Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 56,000 after completion of one year. What will be Madhu's share of profit?
A computer manufacturer produces a certain electronic component at a cost of $80 per component. Shipping costs for delivering the components are $2 per unit. Further, the manufacturer has costs of $16,200 a month related to the electronic component regardless of how many it produces. If the manufacturer produces and se...
Carl is facing very difficult financial times and can only pay the interest on a $10,000 loan he has taken. The bank charges him a quarterly compound rate of 8%. What is the approximate interest he pays annually?
In Jeevans opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Jeevan and he thinks that Jeevans weight is greater than 60 kg but less than 70 kg. His mothers view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the aver...
The interest on Rs. 750 for 2 years is the same as the true discount on Rs. 960 due 2 years hence. If the rate of interest is the same in both cases, it is:
How many 0's are there in the binary form of 6*1024 + 4*64 + 2
Jerome anticipated that the WebWeb.com stock price would fall and sold all his WebWeb.com stocks for $5 per stock. He paid $10,000 tax on the revenue. A week later, Jerome became convinced that the WebWeb.com stock price would rise, and he used the money that he had gotten from selling the WebWeb.com stocks to purchase...
A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
If a is an integer and (a^2)/(12^3) is odd, which of the following must be an odd integer?
Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?
If the diameter of circle R is 50% of the diameter of circle S, the area of circle R is what percent of the area of circle S?
A survey of n people in the town of Eros found that 50% of them preferred Brand A. Another surveyof 100 people in the town of Angie found that 60% preferred Brand A. In total, 55% of all the people surveyed together preferred Brand A. What is the total number of people surveyed?
In a certain Parallelogram the degree measure of one angle exceeds that of the other by 20 what is the degree measure of the smaller angle?
In the third grade of Windblown School there are 96 students, one third of them failed the math test and 1/6 failed that literature test. At least how many students failed both tests?
The fourth proportional to 12, 14 and 18 is?
A pupil's marks were wrongly entered as 73 instead of 63. Due to the average marks for the class got increased by half. The number of pupils in the class is?
A box measuring 72 inches long by 48 inches wide by 24 inches deep is to be filled entirely with identical cubes. No space is to be left unfilled. What is the smallest number of cubes that can accomplish this objective?
Given that G and H are events such that Q(G)= 0.30 Q(H)=0.9 Q(GnH)=0.9 find Q (G|H) and Q(G|H)
How many 2 digits number are there which when subtracted from the number formed by reversing its digits as well as when added to the number formed by reversing its digit, result is a perfect square.