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big_math_dataset

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Four students, Jackie, Mandy, Bertrand, and Tao, took a science quiz. If Mandy scored 30% higher than Bertrand did, Tao scored 20% lower than Jackie did, and Jackie scored 40% higher than Mandy did, how much lower did Bertrand score than Tao?
How many times digit 20 is used while writing numbers from 100 to 500?
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
Find the middle one when The sum of three consecutive even numbers is 42?
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
A train 100 meters long completely crosses a 300-meter long bridge in 40 seconds. What is the speed of the train in km/h?
Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bicycle to work. If it takes him exactly 10 minutes more to walk to work than to ride his bicycle, then x equals
A cube is painted red on all faces. It is then cut into 27 equal smaller cubes. How many cubes are painted on only 2 faces?
Which of the following is equal to the value of 2^6 + 2^6 + 3^6 + 3^6 + 3^6 ?
For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 40?
Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC = 4 cm, and BD = 9 cm, what is CD, in centimeters?
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A and B enter into a partnership with capitals in the ratio 2 : 3. At the end of 9 months, A withdraws from the business. If their profits are in the ratio 1 : 2, how long did B invest his capital?
Carol, Belle and Andrew are business partners. Carol's capital is Rs.12000. If his share of a profit of Rs.1000 is Rs.380 and Andrew's share is Rs.250, what is Belle's capital?
12x − 12 = 12y 5y + 5x = 15 Which of the following is the number of solutions to the system of equations shown above?
On dividing 109 by a number, the quotient is 9 and the remainder is 1. Find the divisor
12, 24, 16, 32, 24, 48, ?
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow?
Which of the following is equal to (n – 3)2*square* if n = 11?
Rs. 5000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/5:1/5:1/10?
a, b are positive integers. The remainder of a to be divided by 7 is 6 and the remainder of b to be divided by 8 is 5. Which is possible to be the remainder of a*b to be divided by 52
The ratio of the ages of Maala and Kala is 4 : 3. The total of their ages is 2.8 decades. The proportion of their ages after 0.8 decades will be [1 Decade = 10 years]
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 5?
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 12 seconds. Find the length of the faster train?
The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 7?
A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 4 km, if the person completes half of the distance by walking and the other half by running?
A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is
What is the remainder when the number Q=14^2 * 15^8 is divided by 5?
In an electric circuit, three resistors with resistances 2 ohms, 5 ohms and 6 ohms are connected in parallel. In this case, if R is the combined resistance of these three resistors, then the reciprocal of R is equal to the sum of the reciprocals resistors. What is R value?
An amount of Rs.3120 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of A?
Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio Q of the number of hours Ann spends driving to the meeting to the number of hours Bob spends drivin...
The sum of four consecutive even numbers is 292. What would be the smallest number?
The sum R of the arithmetic sequence a, a+d, a+2d,..., a+(n-1)d is give by Rn = (n/2)*(2a + n-1)d. What is the sum of the integers 1 to 100 inclusive, with the even integers between 25 and 63 omitted.
A batsman scored 140 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
How many seconds will a 500 meter 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?
During a clearance sale, a retailer discounted the original price of its TVs by 20% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did ...
The speed at which a man can row a boat in still water is 9 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
A large no. N =1234567891011121314…99899100. What will be the remainder when 1st 100 digits of N is divided by 9?
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 10 machines produce in 6 minutes?
Sanoop bought 8 t-shirts at an average price (arithmetic mean) of Rs.526. If Sanoop returned 3 t-shirts to the retailer, and the average price of the remaining t-shirts was Rs.505, then what is the average price, of the three returned t-shirts?
If a function f is defined by f(x)= 2x/(x-1) for all non zero numbers x. If f(a) = 4 and f(ab) = 6 then b= ?
Train X and train Y pass one another traveling in opposite directions. Twenty four minutes later they are 100 miles apart. If train X’s constant speed is 30 miles per hour greater than train Y’s, how far does train X travel during that time?
At a company, the average wage of male employees is $9.97 per hour, and the average wage of female employees is $10.37 per hour. If the average wage of all employees is $10.12 per hour, what is the ratio of the number of male employees to the number of female employees?
If the LCM of two integers X, Y (where Y> X and X>1) is X*Y, then which of the following can not be true?
(3x + 2) (2x - 3) = ax^2 + kx + n . What is the value of a - n + k ?
If 4 (P's Capital ) = 6 ( Q's Capital ) = 10 ( R's Capital ) , then out of the total profit of Rs 3720 , R will receive
Two girls move in opposite directions, one from A to B and other from B to A. The girl from A reaches the destination in 16 hrs and girl from B reaches her destination in 25 hrs, after having met. If former's speed is 25 km/hr, what will be the speed of latter?
The sub-duplicate ratio of 16:64 is
In expressing a length of 11.482 km as nearly as possible with the three significant digits, find the percentage error
How can 0.1666 of 600 of 66.67 % can be written?
In a fruit bucket total number of fruits is 99. If ratio of apple guava and mango is 17:9:7. Find the number of mangoes?
Consider a set S given as {11,22,33,44,55,66,77,88,99} . If each element of the data set is multiplied by -5 then by what factors will the Mean,Variance and Standard Deviation respectively change ?
Which of the following equations has a solution in common with x^2 - 2x - 15 = 0?
A man fell in a 30 meter deep well, in one day he climbs 4 meters up and slips 3 meters down. How many days would it take for him to come out of the well?
If a set consists of all positive digits less than or equal to 3 and of the squares of those digits, what is the mode of the set?
The ratio of the arithmetic mean of two numbers to one of the numbers is 5:8. What is the ratio of the smaller number to the larger number?
A scale 6 ft. 8 inches long is divided into 2 equal parts. Find the length of each part.
15 litres of mixture contains 20% alcohol and the rest water. If 5litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
During the first two weeks of January, the total rainfall in Springdale was 20 inches. If the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of January?
Debbie had 5 1/2 yards of ribbon. She cut it into pieces that were each 1 1/2 yard long. How many inches long is the leftover piece? Note that the fraction that indicates the leftover piece is a fraction of a piece, not a fraction of the original amount.
If 20 men can build a wall 66 metres long in 4 days, what length of a similar can be built by 86 men in 8 days?
As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 9,000 tickets were given out in the first four months of the year. How many tickets should the amusement park gi...
The average (arithmetic mean)W of the four distinct positive integers p, q, s and t is x. If p and q are odd, and s and t are even, which of the following must be true? I. x is an integer II. (x−0.5) is an integer. III. 2x is an odd integer.
Machine A produces 100 parts twice as fast as Machine B does. Machine B produces 100 parts in 60 minutes. If each machine produces parts at a constant rate, how many parts does Machine A produce in 6 minutes?
Mr Yadav spends 60% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year were 24000, how much amount per month would he have spent on clothes and transport?
Which of the following cannot be the sum of 3 different prime numbers?
7.007/2.002 =
A merchant purchased a jacket for $90 and then determined a selling price that equaled the purchase price of the jacket plus a markup that was 25 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If “clothes and shoes” takes up 54° of the chart, how much of the Roberts’s $50,000 annual budget is dedicated to clothes and sho...
A cube has a volume of 343 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
In a group of ducks and cows, the total number of legs are 24 more than twice the no. of heads. Find the total no.of buffaloes.
Given that A and B are events such that X(A)= 0.25 X(B)=0.5 X(AnB)=0.5 find X (A|B) and X(A|B)
3/4 of a number is 19 less than the original number. The number is ?
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Five years ago, the average age of A and B was 15 years. Average age of A, B and C today is 20 years. How old will C be after 12 years?
A can do a piece of work in 20 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone can do the whole work in?
Which of the following lines has x-intercept and y-intercept that are integers T?
A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If 10 were to be added to each score, which of these three statistics would change?
sahar travels the first 7 hours of his journey at 50 mph speed and the remaining 8 hours at 40 mph speed. What is the average speed of sahar's travel in mph?
At a certain amateur bands rock show the ratio of freaks to nerds to geeks is 1:2:3. If these are the only types of people in the crowd, and each person in the crowd has the same chance of yellin grock on!, what are the chances that the next person who yells rock on!will be a freak?
When she chooses a password, Eloise always uses exactly ten different characters: five letters (A, B, C, D, and E) and five numbers (2, 3, 4, 5, and 6). Additionally, she always ensures that no pair of letters is consecutive and that no pair of numbers is consecutive. How many different passwords conform to these rules...
In what time a sum of money double itself at 8% per annum simple interest?
At 10 am 2 trains started travelling towards each other from station 287 miles apart they passed each other at 1:30 pmthe same dayy .if average speed of the faster train exceeded by 6 miles /hr what is speed of faster train in miles/hr
Solve the set of linear equations using subtraction: 4x-3y = 3 2x+6y = 4
The banker's discount on Rs.1150 due a certain time hence is Rs.115. Find the true discount and the banker's gain.
In the Lakeside summer camp there are 50 children. 90% of the children are boys and the rest are girls. The camp administrator decided to make the number of girls only 5% of the total number of children in the camp. How many more boys must she bring to make that happen?
In what time will a railway train 110 m long moving at the rate of 36 kmph pass a telegraph post on its way?
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. 6700?
60% of male in a town and 70% of female in a town are eligible to vote. out of which 70% of male and 60% of female who are eligible to vote voted for candidate A. what is the value of votes in % did A get?
What is the maximum number T of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
The area of a parallelogram is 288sq m and its altitude is twice the corresponding base. Then the length of the base is?
Find the simple interest on Rs.750 for 9 months at 6 paisa per month?
One-fourth of a number is greater than one-fifth of the number succeeding it by 1. Find the number.
If .002^5 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?
The volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate S, in cubic meters per minutes, at which the water is flowing into the swimming pool?