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big_math_dataset

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If the average marks of three batches of 55, 60 and 45 students respectively is 40, 55, 60, then the average marks of all the students is:
The sum of two numbers is 29 and the difference of their squares is 145. The difference between the number is
If H = 775 × 778 × 781, what is the remainder when H is divided by 14?
the sum of 3rd and 9th term of A.P is 8. find the sum of 1st 11 terms of A.P
What is the total number of prime numbers less than 55?
Tough and Tricky questions: Decimals. The value of x is derived by summing a, b, and c and then rounding the result to the tenths place. The value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. If a = 5.58, b = 2.95, and c = 3.65, what is y – x?
An agency wants to buy furnitures of x% of a list of 10,000 furnitures in a catalogue. After a market price increase, the agency must reduce this selection by (x − 2)%. In terms of x, how many furnitures will the agency be able to buy?
There are 2 red chips and 4 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns?
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
What day of the week does May 28 2006 fall on
Ajay, Bhavan and Chetan started a business together. Thrice the investment of Ajay, twice the investment of Bhavan and the investment of Chetan are equal. Find the ratio of their respective profits at the end of the year?
125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 10 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
A and B can do a work in 4 hours and 12 hours respectively. A starts the work at 6AM and they work alternately for one hour each. When will the work be completed?
There are 7 red cups and 5 blue cups on a shelf. If 4 cups are selected at random from the shelf, what is the probability that all 4 cups selected are red cups?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
A train 90 meters long completely crosses a 200 meters long bridge in 36 seconds. What is the speed of the train is?
In a game of 80 points, A can give B 5 points and C 15 points. then how many points B can give C in a game of 60?
In 20 minutes, the minute hand gains over the hour hand by
The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
On her annual road trip to visit her family in Seal Beach, California, Traci stopped to rest after she traveled 1⁄2 of the total distance and again after she traveled 1⁄4 of the distance remaining between her first stop and her destination. She then drove the remaining 400 miles and arrived safely at her destination. What was the total distance, in miles, from Traci’s starting point to Seal Beach?
There is a family of six persons A, B, C, D, E and F. They are Lawyer, Doctor, Teacher, Salesman, Engineer and Accountant There are two married couples in the family. D, the Salesman is married to the Lady Teacher. The Doctor is married to the Lawyer. F, the Accountant is the son of B and brother of E. C, the Lawyer is the daughter-in-law of A. E is the unmarried Engineer. A is the grandmother of F. How is E related to F?
Hillary and Eddy are climbing to the summit of Mt. Everest from a base camp 5,100 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Eddy lagging behind at a slower rate of 500 ft/hr. If Hillary stops 1100 ft short of the summit and then descends at a rate of 1,000 ft/hr, at what time do Hillary and Eddy pass each other on her return trip?
Pipes A and B can fill a tank in 3 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
The cost price of a radio is Rs.1500 and it was sold for Rs.1245, find the loss %?
If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
Two pipes A and B can fill a cistern in 37 1/2minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if pipe B is turned off after
Joey throws a dice 3 times and decides to invite the same number of guests for his birthday party as the sum of the outcomes of the throws. What’s the probability that he invites 12 guests?
Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?
The following sets each have a mean of 5 and the standard deviations are given in variable form. Set I = {5, 5, 5, 5, 5, 5}, standard deviation = H Set II = {1, 1, 1, 9, 9, 9}, standard deviation = J Set III = {2, 3, 4, 6, 7, 8}, standard deviation = K Rank these three standard deviations from least to greatest.
A and B enter into partnership with capital as 7:9. At the end of 8 months, A withdraws. If they receive the profits in the ratio of 8:9 find how long B's capital was used?
The sum of three consecutive odd natural numbers, each divisible by 3 is 90. What is the largest among them?
A watch was sold at a loss of 16%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
P and Q had the same number of candies. P gave Q 22 candies so that now Q has five times as many candies as P has. How many candies does Q have now?
if below equation are true 24$6=64 35$5=87 63$7=99 by using same logic what is the value of the below question 88$8=?
A, B and C can do a work in 18, 30 and 45 days respectively. If they work together, in how many days will they complete the work?
In a full deck of 52 cards, there are 13 spades. A game is played whereby a card from is chosen at random from the deck. If the card is a spade, a winner is declared. If the card is not a spade, it is returned to the deck, the deck is reshuffled and another card is drawn. This process is repeated until a spade is drawn. What is the probability that one will pick the first spade on the second draw or later?
In a game of billiards, A can give B 10 points in 50 and he can give C 30 points in 50. How many points can B give C in a game of 100?
A person got Rs.55 more when he invested a certain sum at compound interest instead of simple interest for two years at 9% p.a. Find the sum?
Rs 70000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 8000 Find money given by 10%?
Two carpenters, working in the same pace, can build 2 desks in two hours and a half. How many desks can 4 carpenters build in 1 hours?
Ten years ago, the age of Anand was one-third the age of Bala at that time. The present age of Bala is 12 years more than the present age of Anand. Find the present age of Anand?
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
If the day after tomorrow is three days before tuesday, do you know which day is today?
A and B are two positive number,if A is divisible by 2 but not by 5 and B is divisible by 5 but not by 2, what could be the value of A and B in the following:- [ the answer are given in the order (A,B) ]
Four of the five parts numbered a, b, c, d and e in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is your answer
An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 300 km from the starting point ?
49 × 49 × 49 × 49 = 7?
The angle between the minute hand and the hour hand of a clock when the time is 11.30, is
Here is a question to keep you busy. Assume that you travel to your friend's place at 20 mph, then how fast you must make the return trip via the same route such that the average speed of your travel becomes 40 mph?
Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 4 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
The average of runs of a batsman of seven innings was 38. How many runs must be made in his next innings so as to increase his average of runs by 3?
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is
A train running at the speed of 300 km/hr crosses a pole in 33 seconds. What is the length of the train?
Two pipes A and B can fill a tank in 6 and 12 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
The sum of two numbers is 40 and their difference is 28. Find their product.
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing thesame no. by 31
An integer n that is greater than 1 is said to be "prime-saturated" if it has no prime factor greater than or equal to n√n. Which of the following integers is prime saturated?
A family consists of grandparents, parents and three grand children. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
If a and b are different positive integers and a + b = a(a + b), then which of the following must be true? I. a = 1 II. b = 1 III. b > a
In the x- y plane, there are 4 points (0,0), (0,4), (7,4), and (7,0). If these 4 points makes a rectangle, what is the probability that x+y<4?
Which of the following must be an integer if the integer x is divisible by both 28 and 21?
If x is a positive number and 1/2 the square root of x is the cube root of x, then x =
A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 38 now, the son age 5 years back was :
At what rate percent on simple interest will a sum of money double itself in 30 years?
Davidson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another. Suppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?
A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum?
Out of three consecutive odd numbers ten times the first number is equal to addition of thrice the third number and adding 8 to thrice the second . What is the first number?
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is 5, what is the value of x?
If v and k are integers whose product is 400, which of the following statements must be true?
In a school with 604 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
Farm Tax is levied on the 60% of the cultivated Land. The tax department collected total $ 5000 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
60 + 5 * 12 / (180/3) = ?
The ratio of the volumes of two cubes is 2744 : 3375. What is the ratio of their total surface areas?
Two vessels A and B contain mixtures of spirit and water. A mixture of 3 parts from A and 2 parts from B is found to contain 29% of spirit and a mixture of 1 part from A and 9 parts from B is found to contain 34 per cent of spirit. Find the percentage of spirit in A and B.
Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 10 as remainder
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
Last year a certain bond price with a face value of 5000 yielded 5% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
In what time will two trains cross each other completely, which are running on the same parallel lines in opposite directions, each train running with a speed of 90 kmph being 160 m and 140 m in length respectively?
By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?
The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 12 km/hr respectively. They will meet for the first time in?
What is 5/8 as a percent
Which one of the following can't be the square of natural number ?
If 4x + y = 8 and y − 3x = 7, then what is the value of x + 2y?
At a certain university, 68% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?
The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 25%. By approximately what percent would the output now have to be decreased in order to restore the original output?
7^9 - 7^2 is approximation of which of the following?
Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 42 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
If a real number x is chosen at random in the interval [0,4] and a real number y is chosen at random in the interval [0,6], what is the probability that x < y?
Mike, Jim and Bob are all professional fisherman. Mike can catch 30 fish in one hour, Jim can catch twice as much and Bob can catch 50% more than Jim. If the three started to fish together and after 40 minutes Mike and Bob left, how many fish did the three fishermen catch in one hour?
A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 135 km downstream
A tradesman by means of his false balance defrauds to the extent of 26%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
At a conference table, 5 employees gather around a table. One of the employees is the manager and he sits at the head of the table. Two of the employees sit on either side of the table. How many different seating arrangements can be made with these five employees?
How many positive four-digit integers do not contain any digits other than 1 or 0 and are such that the sum of the first two digits equals the sum of the last two digits?
Find the area of region enclosed by | x | + | y | = 3
The mean of four integers W will not change if all the integers are multiplied by any constant. What is always true about this set of numbers? I. The mean of the set is 0 II. The sum of the largest member and the smallest member of the set is 0 III. The set contains both positive and negative integers