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big_math_dataset

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If 1.5x=0.04y then the value of (y-x)/(y+x) is
5 OUT OF 1500 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
The speed of a car is 100 km in the first hour and 30 km in the second hour. What is the average speed of the car?
In how many different W ways can 4 ladies and 4 gentlemen be seated at a round table so that all ladies sit together?
In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 40 different models of televisions, what is the minimum number of letters that must be used to make the codes?
Walking with 3/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
A car covers a distance of 780 km in 6 ½ hours. Find its speed?
Statements: Prime school-going children in urban India have now become avid as well as more regular viewers of TV, even in households without a TV. As a result there has been an alarming decline inthe extent of readership of newspapers. Conclusions: 1) Method of increasing the readership of newspapers should be devised...
Call a number Guardian if it is composite but not divisible by 2, 3, or 5. The three smallest guardian numbers are 49, 77, and 91. There are 168 prime numbers less than 1000. How many Guardian numbers are there less than 1000?
add 8% of 24 and 10% of 40.
Rajan is sixth from the left end and vinay is tenth from the right end in a row of boys. If there are eight boys between Rajan and Vinay, how many boys are there in the row ?
I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?". I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess". She then asked me "can you tell me the sum of first 74 odd numbers ?". I wait for approx 10 seconds ...
The average (arithmetic mean) of 4 different integers is 68. If the largest integer is 90, what is the least possible value of the smallest integer?
In an examination, it is required to score 32% of the aggregate marks for a student to pass the examination.Raju has scored 250 marks and was declared failed by 22 marks.Find the aggregate marks?
The monthly incomes of A and B are in the ratio 5 : 2. B's monthly income is 12% more than C's monthly income. If C's monthly income is Rs. 13000, then find the annual income of A?
How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1/2 m board?
A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in?
5,7,11,19,?,67,131
A ladder was rested along a wall of height 5m. If ladder slides 2m away from the wall then ladder touches the foot of the wall .What is the height of the ladder.
From January 1, 2015, to January 1, 2017, the number of people enrolled in health maintenance organizations increased by 12 percent. The enrollment on January 1, 2017, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 2015 ?
When x is divided by y, the quotient is q with remainder r. Which of the following is y in terms of r, x, and q? (Assume both y and q are nonzero.)
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 32150. What percentage of profit did he make?
Two persons start running simultaneously around a circular track of length 380 m from the same point at speeds of 24 kmph and 28 kmph. When will they meet for the first time any where on the track if they are moving in the opposite direction ?
The number 341 is equal to the sum of the cubes of two integers. What is the product of those integers?
50 is divided into two parts such that the sum of their reciprocals is 1/12. Find the two parts.
Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $4,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
What is the 28th digit to the right of the decimal point in the decimal form of 4/11?
What is the value of(a,y) in (13^-20-a*13^y)=168*13^-22?
If the sum of the interior angles of a regular polygon measures up to 1080 degrees, then how many sides does the polygon have?
In an isoscele right angled triangle, the perimeter is 20 metre. Find its area.
In the expression 51840/x^4, for which of the following values of x will the expression NOT be an integer?
HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 36, then the other number is?
Find the number of ways in which 4 letters may be selected from the word "Examination"?
By selling a book for 250, 20% profit was earned. What is the cost price of the book?
Calculate the ratio between x and y if 90% of x equal to 60% of y?
There are 8 students. 4 of them are men and 4 of them are women. If 4 students are selected from the 8 students. What is the probability R that the number of men is equal to that of women?
Farm Tax is levied on the 60% of the cultivated Land. The tax department collected total $ 4000 through the farm Tax from the village of Mr. willam. Mr. willam paid only $ 500 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
A train running at the speed of 60 km/hr crosses a pole in 8 seconds. Find the length of the train.
If an article is sold at 18% profit instead of 9% profit, then the profit would be $54 more. What is the cost price?
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. 1000 more than D, what is B's share?
2, 6, 12, 20, 30, 42, 56, ?
The following sets each have a mean of 10 and the standard deviations are given in variable form. Set I = {10, 10, 10, 10, 10, 10}, standard deviation = P Set II = {6, 6, 6, 14, 14, 14}, standard deviation = Q Set III = {7, 8, 9, 11, 12, 13}, standard deviation = R Rank these three standard deviations from least to gre...
In a graduating class of 238 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 sum was put a simple interest at a certain rate for 2 years. Had it been put at 4% higher rate, it would have fetched Rs. 60 more. The sum is:
A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
The regular price per can of a certain brand of soda is $0.15. If the regular price per can is discounted 10 percent when the soda is purchased in 24-can cases, what is the price of 75 cans of this brand of soda purchased in 24-can cases?
Line E has the equation 3x + y = 7. Which of the following lines is perpendicular to Line E?
If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?
A train travels 125 km in 2.5 hours and 270 km in 3 hours.find the average speed of train.
A car travelling with 2/3 km of its actual speed covers 12km in 2hr 14 min 28 sec find the actual speed of the car?
If m = 3^n, what is the greatest value of n for which m is a factor of 19!
Sn=1^8+2^8+3^8+----------n^8 find the unit digit of S29
Two alloys A and B are composed of two basic elements. The ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 1, respectively. A new alloy X is formed by mixing the two alloys A and B in the ratio 4 : 3. What is the ratio of the composition of the two basic elements in alloy X ?
Ramesh purchased a refrigerator for Rs. 17500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
A certain college party is attended by both male and female students. The ratio of male to female students is 3 to 5. If 6 of the male students were to leave the party, the ratio would change to 1 to 2. How many total students are at the party?
Two dice are rolled. What is the probability the sum will be greater than 9?
A man divides $8600 Among 4 Sons, 4 Daughters and 2 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive?
If x, y, and z are negative integers and 3x - 3y = -3z, then which of the following statements must be true? I. x = y II. x > y III. x = z
The area of a rectangle is 15 square centimeters and the perimeter is 16 square centimeters. What are the dimensions of the rectangle?
6) A marketing firm determined that , of 180 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap?
How many ways are there to split a group of 4 students into two groups of 2 students each? (The order of the groups does not matter)
40% of the people read newspaper X, 50% read newspaper Y and 10% read both the papers.What percentage of the people read neither newspaper ?
The speed of a boat in still water is 60kmph and the speed of the current is 25kmph. Find the speed downstream and upstream?
If the sum of the 4th term and the 12th term of an arithmetic progression is 12, what is the sum of the first 15 terms of the progression?
If r and p are two different prime numbers, which of the following is the smallest possible value of r + p?
In Goshawk-Eurasian nature reserve 30 percent of the birds are Hawks, and 40 percent of the non-Hawks are Paddyfield-Warblers. If there are 25 percent as many Kingfishers as Paddyfield-Warblers in the reserve, then what percent of the birds W in the nature reserve are not Hawks, Paddyfield-Warblers, or Kingfishers?
A man rows his boat 70 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
A sum of Rs. 2500 amounts to Rs. 3500 in 4 years at the rate of simple interest. What is the rate of interest?
The H.C.F of two numbers is 19 and their L.C.M is 4263. If one of the numbers is 399, then the other is?
Three years ago the average age of a family of seven members was 20 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
The value of (68.237)2 – (31.763)2 is :
The price of a mobile was increased by 40 percent. The new price was then decreased by 15 percent. A single increase of what percent is equivalent to these two successive changes?
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
In how many ways can live boys and three girls sit in a row such that all boys sit together?
When the positive integer y is divided by 11, the quotient is z and the remainder 3. When y is divided by 19, the remainder is also 3. What is the remainder when z is divided by 19?
Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?
If A,B is 20%,30% smaller than C then how much percentage is B greater than A?
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by :
What is the 149th digit to the right of the decimal point in the decimal form of 30/33?
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 75, the runs scored by B are?
The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many Q grams?
Two trains running in the same direction with a speed of 60kph and 50kph having lengths of 200m each. How long it will take the trains to completely pass each other(in seconds)?
6^9 - 6^2 is approximation of which of the following?
A sum is divided among B, C and D in such a way that for each rupee B gets, C gets 150 paisa and D gets 50 paisa. If the share of C is RS. 40, what is the total amount?
How many integers from 100 to 800, inclusive, remains the value unchanged when the digits were reversed?
The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:
Set A = {1, 2, 3, 4, 5, 6, y} Which of the following possible values for y would cause Set A to have the smallest standard deviation?
35% of the employees of a company are men. 60% of the men in the company speak French and 40% of the employees of the company speak French. What is % of the women in the company who do not speak French?
A builder decided to build a farm house in 40days. He employed 100men in the beginning and 100 more after 35 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
In how many ways can 5 boys and2 girls be arranged at a table if 2 girls are never together?
Walking 7/6 of his usual rate, a boy reaches his school 5 min early. Find his usual time to reach the school?
40, 45, 50, 55, 60, 75, 75, 90, 100, 100. The list above shows the scores of 10 schoolchildren on a certain test. If the standard deviation of the 10 scores is 21.2, rounded to the nearest tenth, how many of the scores are more than 1 standard deviation below the mean of the 10 scores?
How many diagonals does a polygon with 15 sides have, if one of its vertices does not connect to any diagonal?
What is the least value of x. So that 1894x is divisible by 3?
Which of the following number is divisible by 24 ?
Three positive integers a, b, and c are such that their average is 22 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?
If a, b, c are consecutive positive integers and a<b<c, which of the following must be true? I. c-a=2 II. a-c is positive integer III. (a+b+c)/3 is an integer
9.4 , 9.9 , 9.9 , 9.9 , 10.0 , 10.2 , 10.2 , 10.5 The mean and the standard deviation of the 8 numbers shown above is 10 and 0.3 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
what is the least number by which 15,625 must be divided to get a number perfect square
The ratio of the adjacent angles of a parallelogram is 5 : 13. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?