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big_math_dataset

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The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?
How many such 3's are there in the following number sequence which are immediately Preceded by an odd number and immediately followed by an even number? 5 3 8 9 4 3 7 2 3 8 1 3 8 4 2 3 5 7 3 4 2 3 6
What sum of money put at C.I amounts in 2 years to Rs.7000 and in 3 years to Rs.9261?
All of the students of Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 136 students in the band. If 60 percent of the students are in the band only, how many students are in the orchestra only?
Three dice are thrown together, Find the probability of getting a total of at least 5?
A chair is bought for Rs.120/- and sold at Rs.240/- find gain or loss percentage
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
The average (arithmetic mean) of eight numbers is 44.1. If the sum of half of these numbers is 158.4, what is the average of the other half?
The price of the jewel, passing through three hands, rises on the whole by 80%. If the first and the second sellers 20% and 25% profit respectively find the percentage profit earned by the third seller.
A man buys Rs. 44 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Which of the following is greatest?
Ron walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 6 hours 45 minutes. He would have gained 2 hours by driving both ways. How long R would it have taken for him to walk both ways.
A work can be finished in 14 days by thirty women. The same work can be finished in fifteen days by forteen men. The ratio between the capacity of a man and a woman is
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
If Raj shares all of his amount equally among his five friends then each of his friend's amount increased by $10 then Raj had how much?
The public library has exactly 2 floors. It has 3/4 as many shelves on its 2nd floor as it does on its 1st. If the second floor has 5/6 as many books per shelf as the first floor, what fraction of the library's books are on the first floor?
If p / q is an integer, which of the following statements must be true?
The population of a bacteria colony doubles every day. If it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 25% of the original number. What percent of the red candies remain?
A train ride from Two P to Town Q costs $2.35 more than does a bus ride from Town P to Town Q. Together, the cost of one train ride and one bus ride is $9.85. What is the cost of a bus ride from Town P to Town Q?
Square A has an area of 25 square centimeters. Square B has a perimeter of 12 centimeters. If square B is placed within square A and a random point is chosen within square A, what is the probability the point is not within square B?
What are the unit and symbol for current?
If 2x + y = 7 and x + 2y = 5, then 4xy/3 =?
Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is?
10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
Rohan spends 40% of his salary on food, 20% on house rent, 10% on entertainment and 10% on conveyance. If his savings at the end of a month are Rs. 1500. then his monthly salary is
(4300631)-?=2535618
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?
Krishna's monthly expenditure was decreased by 50% and subsequently increased by 50%. How much percent does he loss?
In a school with 5 classes, each class has 2 students less then the previous class. How many students are there in the largest class if the total number of students at school is 95?
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is?
A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 280 dollars, and, in a third, loses 20. In the end he finds he has gained 120 dollars, by the three together. How much did he gain or lose bv the first ?
Five bells begin to toll together and toll respectively at intervals of 6, 5, 7, 10 and 12 seconds. How many times will they toll together in one hour excluding the one at the start ?
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
Set J consists of the terms {a, b, c, d, e}, where e > d > c > b > a > 3. Which of the following operations would decrease the standard deviation of Set J?
The population of a town is 7900. It decreases annually at the rate of 10% p.a. What was its population 2 years ago?
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 9 sec. What is the length of the fast train?
When 0.252525...........is converted into a fraction, then find the result.
To apply for the position of photographer at a local magazine, a photographer needs to include three or four photos in an envelope accompanying the application. If the photographer has pre-selected seven photos representative of her work, how many choices does she have to provide the photos for the magazine?
A can do a work in 7 days and B in 12 days. If they work on it together then in how many days required to complete the work?
Pat will walk from intersection A to intersection B along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from A to B can Pat take that have the minimum possible length?
A person can row upstream 2 kmph and downstream 8 kmph. Find the rate of the stream and person rate in still water.
Which of the following points is symmetric with y=x at (4,5)?
In a certain game, each player scores either 2 or 5 points. If n players score 2 points and m players score 5 points and the total number of points scored is 55, what is the least possible difference between n and m.
Hendrix works 20 days a month at d dollars per day for m months out of the year. Which of the following represents his 5 year pay?
On January 1, 2010, Dave invests 70% of his retirement savings in Antarctic largecap stocks, 20% in Antarctic midcaps, and 10% in Antarctic smallcaps. In 2010, largecaps rise 5%, midcaps rise 10%, and smallcaps rise 15% in the Antarctic stock market; however, in 2011, largecaps fall 10% and midcaps fall 20%, while smallcaps rise x% in Antarctica. If, on January 1, 2012, Dave has the same total amount of retirement savings as he did two years before, then x is between
A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If the plane's altitude after these two changes was 1/2 its original altitude, then the solution of which of the following equations gives the plane's original altitude, in feet ?
If a light flashes every 6 seconds, how many times will it flash in 2/5 of an hour?
Find a if (ax3 + 3x2 - 3) and (2x3 - 5x + a) when divided by (x-4) leave same rmainder?
A student can select one of 9 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science.
Find the percentage gain if a shop owner sells 18 mtr of fabric and gains Cost Price of 3 meters?
By selling a book for 260, 20% profit was earned. What is the cost price of the book?
We have 6 people and 4 chairs. In how many ways chairs can be occupy?
Find the third proportional to 3 and 9?
A die is rolled twice. What is the probability of getting a sum equal to 9?
In the third quarter of 2015, Atlantis Law Firm had 20 lawyers and 400 cases. In the fourth quarter of 2015, the firm had 22 lawyers and 500 cases. By approximately what percent did the ratio of lawyers to cases decrease from the third quarter to the fourth quarter.
q, b, and c are positive integers. If q, b, and c are assembled into the six-digit number qbcqbc, which one of the following must be a factor of qbcqbc?
In the xy-plane, the point (1, 3) is the center of a circle. The point (-2, 3) lies inside the circle and the point (1, -2) lies outside the circle. If the radius r of the circle is an integer, then r =
A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 60 days, then together ,all will finish the work in :
Ginger over the course of an average work-week wanted to see how much she spent on lunch daily. On Monday and Thursday, she spent $5.43 total. On Tuesday and Wednesday, she spent $4.54 on each day. On Friday, she spent $7.89 on lunch. What was her average daily cost?
If A = {1, 3, 5}, B = {3, 5, 6}.Find A ∪ B
What is the relationship between the fractions 14/15 and 37/40.
A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
The current in a river is 10 mph. A boat can travel 50 mph in still water. How far up the river can the boat travel if the round trip is to take 5 hours?
At 1:00, Annie starts to bicycle along a 45 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 5, what is the probability that it is an even number?
In how many different ways can the letters of the word 'AIRPORT' be arranged in such a way that the vowels always come together?
What is the least value of x, So that 2x5452 is divisible by 9
A shopkeeper has 280 kg of apples. He sells 85% of these at 20% profit and remaining 60% at 30% profit. Find his % profit on total.
If 5 women or 8 girls can do a work in 84 days.In how many days can 10 women and 5 girls can do the same work?
What number is obtained by adding the units digits of 734^100 and 347^83?
A shopkeeper give 12% additional discount on the discounted price, after giving an initial discount of 20% on the labelled price of a radio. If the final sale price of the radio is Rs.704, then what is its labelled price?
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
W and X started a business investing Rs. 30,000 and Rs. 6,000 respectively. Out of a total profit of Rs. 18,000, W’s share is :
What is the smallest number which when increased by 3 is divisible by 9, 35, 25 and 21?
4 dice are thrown simultaneously on the board. Find the probability which show the same face?
I sold a book at a profit of 12%. Had I sold it for $18 more, 18% would have been gained. Find the cost price?
Two trains 140 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?
In a group of 100 cars, 37 cars do not have air conditioning. If at least 51 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes?
If x < 0 and 0 < y < 1, which of the following has the greatest value H?
If P's height is 40% less than that of Q, how much percent Q's height is more than that of P?
The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.420 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
The age of father 8 years ago was thrice the age of his son. Five years hence, father's age will be twice that of his son. The ratio of their present ages is:
How many even integers n, such that 20<=n<=200 are of the form 3k+4, where k is any natural number?
50% of a number is more than 20% of 650 by 190. Find the number?
A and B can finish 5 piece of work in 10 days each. C can do 40% faster than A and B.Approximately how many days would it take to finish 51 piece of work with all three working simultaneously?
In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 5% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
1. How much more would Rs.24000 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?
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 360 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her eighteen kids?
Four person are chosen at random form a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is:
3. How many numbers that are not divisible by 6 divide evenly into 264,600?
On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 390 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.5. If VP Adams approves the proposal, then the probability that vice-president Baker will approve the proposal is 0.8. If VP Adams doesn’t approve the proposal, then the probability that vice-president Baker will approve the proposal is 0.3. What is the probability that at least one of the two VPs, approves Johnson’s proposal?
A certain Social Security recipient will receive an annual benefit of $12,000 provided he has annual earnings of $9,360 or less, but the benefit will be reduced by $1 for every $3 of annual earnings over $9,360. What amount of total annual earnings would result in a 65 percent reduction in the recipient's annual Social Security benefit? (Assume Social Security benefits are not counted as part of annual earnings.)
x/(y/z) In the expression above, x, y, and z are different numbers and each is one of the numbers 1, 5, or 6. What is the least possible value of the expression?
The ratio of the present ages of a man and his wife is 7 : 6. Which of the following can't be a possible ratio of their ages 40 years ago?
Each of the integers from 1 to 15 is written on the a seperate index card and placed in a box. If the cards are drawn from the box at random without replecement, how many cards must be drawn to ENSURE that the product of all the integers drawn is even?