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big_math_dataset

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The average age of three boys is 10 years and their ages are in proportion 2:4:4. What is the age in years of the youngest boy?
Of the 200 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 30 percent of the employees prefer City Y and 70 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
How many zeros are the end of 380! ?
(0.0077)(3.6) / (0.04)(0.1)(0.007)=
A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 35 hours, 50 percent worked...
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:
The radius of the two circular fields is in the ratio 3: 7 the area of the first field is what percent less than the area of the second?
If the perimeter of a rectangular playground is 1200 m, its length when its breadth is 500 m is?
Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 1600 then loss of Pyarelal?
A tradesman by means of his false balance defrauds to the extent of 14%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how many different ways can he paint the wall?
The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is?
1000 men have provisions for 18 days. If 400 more men join them, for how many days will the provisions last now?
A certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 25 percent greater than it was at the beginning of 1992. The college's enrollment at the beginning of 1993 was what percent greater than its enrollment at ...
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
A circular ground whose diameter is 35 metres, has a 1.4 metre-broad garden around it. What is the area of the garden in square metres?
Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $8,000, what is the bonds face value?
If 100 microns = 1 decimeter, and 10,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
The product of all the prime numbers less than 15 is closest to which of the following powers of 10 ?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
If the sum of the first n positive integers is S, what is the sum of the first n negative even integers, in terms of S ?
A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 10% lemonade syrup?
12 men take 18 days to complete a job whereas 12 women in 18 days can complete 3⁄5 of the same job. How many days will 10 men and 8 women together take to complete the same job?
Yearly subscription to professional magazines cost a company $940.00. To Make a 35% cut in the magazine budget, how much less must be spent?
The entire contents of a full sack of flour can be used to make 15 cupcakes and 8 pizzas. The same full sack of flour can be used to make 9 cupcakes and 14 pizzas. If a full sack of flour is used to make only pizzas, how many pizzas can be made?
How many two-digit numbers are there whose remainder when divided by 13 is 1, and whose remainder when divided by 6 is 5?
A boat can travel with a speed of 16 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 60 km downstream.
The average age of 8 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. The average age of the two new men is
Look at this series: XXIV, XX, __, XII, VIII, ... What number should fill the blank?
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 cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4. The number age of the family now is?
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?
A woman 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 ?
At a reception, one-third of the guests departed at a certain time. Later two-fifths of the guests departed. Even later two-thirds of the remaining guests departed. If six people were left, how many were originally present at the party?
Three students appear at an examination of Mathematics. The probability of their success are 1/3, 3/4, 1/5 respectively. Find the probability of success of at least two.
Find the value of 4 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
A drink vendor has 20 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required?
The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?
nine persons went to a hotel for taking their meals 8 of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine.What was the total money spent by them?
(a-b)/(c/2) In the expression above, a, b, and c are different numbers and each is one of the numbers 1, 2, or 4. What is the least possible value of the expression?
Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum?
A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $10 per item. If the manufacturer’s selling price per item is $15, how many items the manufacturer produce and sell to earn an annual profit of $150,000?
The HCF of two numbers is 40 and the other two factors of their LCM are 11 and 12. What is the largest number.
The speed at which a man can row a boat in still water is 10 kmph. If he rows downstream, where the speed of current is 2 kmph, what time will he take to cover 60 metres?
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 80 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
Find the number of factors of 180 that are in the form (4*k + 2), where k is a non-negative integer?
What is the greatest number which divides 29, 32, 38 and leaves same remainder in each case?
How many positive integers will divide evenly into 420?
A student chose a number, multiplied it by 3, then subtracted 138 from the result and got 102. What was the number he chose?
Ajay spends 25 per cent of his salary on house rent, 5 percent on food, 10 percent travel, 10 percent on clothes and the remaining amount of Rs.20000 is saved. What is Ajay’s income?
if you invested $25000 and received $35251 after 10 years. what was the interest rate?
The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 14 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median? I. 3 II. 7 III...
What is the number of integers from 1 to 1100 (inclusive) that are divisible by neither 11 nor by 35?
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:
A vendor sold two things at same cost of 15 RS with one item at 25%profit and other at 20%loss,by this transaction he made profit or loss by how much
If 3 pounds of dried apricots that cost x dollars per pound are mixed with 4 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?
What will be the cost of building a fence around a rectangular plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 50?
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.20 of money?
What is the last number in a sequence of 5 consecutive integers, given that their sum is 335?
If two numbers are in the ratio 5:2. If 10 is added to both of the numbers then the ratio becomes 5:4 then find the smallest number?
Amy invested Rs. 30000 @ 8% per annum for two years. If the interest is compounded quarterly, then the amount received by Amy at the end of the year will be?
Albert invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Albert get on maturity of the fixed deposit?
The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is?
Two water bottles are in side-by-side. One bottle, which is 25 inches tall, casts a shadow that is 50 inches long. The other bottle is 30 inches tall. Compute, in inches, the length of the shadow that the taller bottle casts.
15 ants can move 600 sugar cubes of 10 grams each to their home in 5 hours. Then how many sugar cubes of 5 grams each, will 20 ants move in 3 hours?
If w/x = 5/7 and w/y = 4/7, then (x + y)/y =
Which from the options has the highest value?
The average weight of 19 students is 15kg. by the admission of a new student the average weight is reduced to 14.8 kg. the weight of the new student is ?
How many three-digit integers between 310 and 400, exclusive, are divisible by 3 when the ones digit and the hundered digit are switched?
An association of mathematics teachers has 1,260 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 62 percent of the votes cast?
A crate measures 2 feet by 8 feet by 12 feet on the inside. A stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. What is the radius, in feet, of the pillar with the largest volume that could still fit...
If 4<(7-x)/2, which of the following must be true? I. 5<x II. |x+3|>2 III. -(x+5) is positive
If 9 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
If a and b are positive integers and (2^a)^b = 2^2, what is the value of 2^a*2^b?
Dan's age after 20 years will be 7 times his age 4 years ago. What is the present age of Dan?
Marge has Q candies, where Q is an integer such that 20 < Q< 50. If Marge divides the candies equally among 5 children, she will have 2 candies remaining. If she divides the candies among 6 children, she will have 1 candy remaining. How many candies will remain if she divides the candies among 7 children?
Find the compound ratio of (2:3), (5:3) and (2:5) is
The average weight of 8 persons increases by 3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
A cycle is bought for Rs.1000 and sold for Rs.1080, find the gain percent?
A train running at the speed of 60 km/hr crosses a pole in 15 seconds. What is the length of the train?
A right triangle AEC has to be constructed in the xy-plane so that the right angle is at A and AE is parallel to x axis. The coordinates of A, E and C are integers and satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. How many different triangles can be constructed with these properties?
Eric, Nick and Archi make contributions to the Society Of Nature Protection in the ratio of 5:3:2.5. If altogether they contribute 6048 Nis, how much more money does Nick contribute than Archi?
A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 80% more recliners. What is the percentage increase of the gross?
A can do a piece of work in 2 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 5 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
P is an integer divisible by 4 and Q is an integer divisible by 3. Which of the following must be odd?
If 12 men or 20 women can do a piece of work in 81 days, then in how many days can 9 men and 12 women together do the work?
There are 16 teams in a tournament. If during the first round, each team plays every other team exactly once, how many games will be played in the first round?
An intelligence agency forms a code of two distinct digits selected from 0, 1, 2, …, 9 such that the first digit of the code is nonzero. The code, handwritten on a slip, can however potentially create confusion when read upside down — for example, the code 91 may appear as 16. How many codes are there for which no such...
If (x - 1)^2 = 324, which of the following could be the value of x - 4?
300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 55% of the customers that had p...
Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 5 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same dai...
The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?
Vishal has 7 pairs of shoes; each pair is a different color. If Vishal randomly selects 2 shoes without replacement from the 14 shoes, what is the probability that she will select 2 shoes of the same color?
Find the area of a parallelogram with base 20 cm and height 16 cm?
five points lie on the circumference of a ellipse. What is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points?
How many five letter combinations can be formed using the letters of the word CARTS?
If Carol invested Rs. 2955 at 84 to obtain an income of Rs. 180, calculate the dividend from Carol's stock.
Jar X is 1/5 full of water. Jar Y, which has half the capacity of Jar X, is 1/2 full of water. If the water in Jar Y is poured into Jar X, then Jar X will be filled to what fraction of its capacity?