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big_math_dataset

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If KING is coded as 17 and MASS is coded as 29 Then DOG is coded as
If 3x+y=40, 2x-y=20, for integers of x and y, y^2=?
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 of nine numbers is 15. The average of first four numbers is 11 and the average of last four numbers is 14. What is the middle number?
Machine A takes 50 hours to complete a certain job and starts that job at 6AM. After four hour of working alone, machine A is joined by machine B and together they complete the job at 1PM. How long would it have taken machine B to complete the job if it had worked alone for the entire job?
Mother is aged three times more than her daughter Rose. After 8 years, she would be two and a half times of Rose's age. After further 8 years, how many times would he be of Rose's age?
If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean? I. 13.7 II. 12.3 III. 9.3
How many ways can 8 friends be arranged around a circular dinner table?
An uneducated retailer marks all his goods at 55% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
A and B start a business with Rs.6000 and Rs.18000 respectively. Hoe should they share their profits at the end of one year?
If f(x) = 12 - x^2/2 and f(2k) = 4k, what is one possible value for k?
Two pipes A and B can fill a cistern in 12 and 15 minutes respectively. Both are opened together but after 2 minutes A is turned off. After how much more time will the cistern be filled?
If MADRAS can be written as NBESBT, how can BOMBAY be written in that code ?
There are two sets A and B. The range of set A is 7, and the range of set B is 13. If the two sets are combined and get a new set Y, which cannot be the range of the set Y?
Find the face value of 6 in 654321
If an object travels at eight feet per second, how many feet does it travel in one hour?
Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cister...
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 64 hours respectively. The ratio of their speeds is?
Find the area of a parallelogram with base 15 cm and height 40 cm?
The area of a triangle is with base 8m and height 4m?
What approximate value should come in place of the question mark (?) in the following equation ? 4⁄7 of 1596 + 3015 = ? – 2150
If a portion of a half water/half alcohol mix is replaced with 25% alcohol solution, resulting in a 30% alcohol solution, what percentage of the original alcohol was replaced?
A school’s annual budget for the purchase of student computers increased by 50% this year over last year. If the price of student computers increased by 20% this year, then the number of computers it can purchase this year is what percent greater than the number of computers it purchased last year?
A sells an article to B at a profit of 10% B sells the article back to A at a loss of 10%. In this transaction:
If the sides of a triangle are 65 cm, 60 cm and 25 cm, what is its area?
If TIER is written as 8163 and BRAIN is written as 23415, how is RENT coded ?
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first card is a queen and the second card is a jack is?
List I: 15, 12, 17, 20 List II: x,15, 12, 17, 20
How many prime numbers F exist such that 90 < F < 106 and F is a factor of 99999919?
If x and y are positive integers, and x^3*y^4 = 648, which of the following is the value of xy?
Abhijit started a business investing 70000. Anuja joined him after 4 months with an amount of 105000 and Sunil joined them with 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Abhijit, Anuja and Sunil respectively, three years after Abhijit started the business?
There are 10 points on a circle. A hexagon can be formed by linking 8 of the 10 points. How many such hexagons are possible?
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1004 in total compensation...
Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took one-third of the mints, but returned four because she had a momentary pang of guilt. Fatima then took one-fourth of what was left but returned three for s...
How many liters of water must be evaporated from 50 liters of a 4-percent sugar solution to get a 10-percent solution?
A batsman makes a score of 64 runs in the 16th innings and thus increased his average by 3. Find his average after the 16th inning?
In a certain furniture store, each week Nancy earns a salary of $240 plus 5% of the amount of her total sales that exceeds $800 for the week. If Nancy earned a total of $450 one week, what were her total sales that week ?
If B + A < B - A < A - B, which of the following is correct?
80,873,72,72,64,81,56,?
What is the sum of all the numbers between 300 and 1000 which are divisible by 179?
A table is bought for Rs.600/- and sold at a loss of 12% find its selling price
Two Equal Amounts of Money are lent out at 6% and 5 % simple Interest respectively at the same time. The former is recovered two years earlier than the latter and the amount so recovered in each case is Rs.2800. Determine the amount that is lent out?
Three sets of 40, 50 and 60 students appeared for an examination and the pass percentage was 50, 90 and 75 respectively. the pass percentage of the whole set is
For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
the sum of 4th and 20th term of A.P. is equal to the sum of 8th , 15th and 12 th term . find the term which is 0
Train A & B leave from same station and reaches same destination but train A leaves half an after Train B & travels 2 times faster than B. Total distance is 100 miles & train B travels 50 miles/hour. Which train reaches the destination first & what is the time difference between the train
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
Find the odd man out. 18, 27, 36, 38, 45
If 222 = 6 333 = 12 444 = 20 Then, 555 = ??
A room is 15m long, 4m broad and 3m height. Find the cost of white washing its four walls at 50p per m2 ?
If a2 + b2 + c2 = 281 and ab + bc + ca =4, then a + b + c is
Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 2 times the fraction of first-year students who have declared a major, what ...
How many integers between 400 and 1000 are there such that their unit digit is odd?
Divide $450 among A,B in the ratio 1:4. How many $ that A get?
If 16,666 – n is divisible by 11, and 0 < n < 11, what is n?
If 3f+ 1 < 2f < 9 - f, which of the following must be true? I. -1 < f < 3 II. f < -1 III. f < 3
((1^m)/(5^m))((1^16)/(4^16)) = 1/(2(10)^31) What is m?
Two trains 150 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
How many positive integers less than 60 are equal to the product of a positive multiple of 5 and an even number?
In what time will a train 120 m long cross an electric pole, it its speed be 185 km/hr?
How many positive three-digit integers are divisible by both 2 and 7?
A bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?
There are 300 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of managers to 98%?
The area of a square garden is Q square feet and the perimeter is P feet. If Q=P+21, what is the perimeter of the garden in feet?
In a forest 10 rabbits were caught, tagged with electronic markers, then released. A month later, 10 rabbits were captured in the same forest. Of these 10 rabbits, it was found that 2 had been tagged with the electronic markers. If the percentage of tagged rabbits in the second sample approximates the percentage of tag...
A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?
Sum of 3 consecutive even no.'s is 34 more than the 1st no. of the series. Find the middle no.?
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
How many integers between 265,205and 758,805 have tens digit 1 and units digit 3?
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is two times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what...
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $55,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the c...
If A, B, and C invested some amount in the ratio 3:2:5 in a buisiness. If the total profit incurrec after a year was Rs.12100, find the share of B.
If an amount of Rs 13,640 is divided equally among 62 students, approximately how much amount will each student get?
Three friends sai, vani and ram divide $1020 amongs them in such a way that if $10, $20 and $15 are removed from the sums that sai, vani and ram received respectively, then the share of the sums that they got will be in the ratio of 8 : 4 : 2. How much did ram receive?
A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?
A train running at the speed of 90 km/hr crosses a pole in 6 seconds. What is the length of the train?
A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
In a graduate physics course, 60 percent of the students are male and 30 percent of the students are married. If two-sevenths of the male students are married, what fraction of the female students is single?
In how many ways, a committee of 5 members can be selected from 7 men and 5 ladies, consisting of 3 men and 2 ladies?
Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 300 grams of compound X?
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 7 years hence?
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Two hoses are pouring water into an empty pool. Hose 1 alone would fill up the pool in 6 hours. Hose 2 alone would fill up the pool in 3 hours. How long would it take for both hoses to fill up two-thirds of the pool?
10^185 - 10^9 = Which of the following best approximates the value of the expression above?
45 pupil,out of them 12 in debate only and 22 in singing only.then how many in both?
In the first 10 overs of a cricket game, the run rate was only 4.8. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
A and B can do a work in 6 days, B and C in 2 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?
A series of book was published at seven years intervals when the seventh book was published the total sum of publication year was 13, 1524. first book was published in?
Every student of a certain school must play an instrument. In last year, 1/2 of the students picked a woodwind instrument, 2/5 of the students picked a brass instrument, and all of the other students took percussion. In this year, 1/2 of the students who play woodwind and 1/4 of the students who play brass instruments ...
Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 6000, brokerage being 1/4%, is:
A, B and C start a business each investing 20,000. After 5 months A withdrew 10000, B withdrew 15000 and C invests 5000 more. At the end of the year, a total profit of 58000 was recorded. Find the share of B.
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
A publisher has a shelf that contains biographies which normally sell for $20 each and mysteries that normally sell for $12 each. During a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $19 from the normal price by buying 5 discounted biographies and 3 discount...
In a certain country ½ of 5 = 3. Assuming the same proportion, what would be the value of 1/3 of 10 ?
Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 49?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?
A certain bus driver is paid a regular rate of $14 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation,...
24 oz of juice P and 25 oz of juice F are mixed to make smothies X and Y . The ratio of p to F in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?
Harkamal purchased 3 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?