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big_math_dataset

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Mike, Jim and Bob are all professional fisherman. Mike can catch 33 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?
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. If 4 of the slips are the drawn, without replacement, what is the probability that all 4 have a even number written on it?
If a man crosses a 800 m long street in 5 minutes. What is his speed?
A number exceeds by 40 from its 3/8 part. Then the number is?
1/0.06 is equal to
AQ + CD = AAA, where AQ and CD are two-digit numbers and AAA is a three digit number; A, Q, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
The sum of three consecutive numbers is 87. The greatest among these three numbers is :
P and Q started a business investing Rs 50000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
Having scored 98 runs in the 19th inning, a cricketer increases his average score by 4. What will be his average score after 19 innings?
Bradley owns b video game cartridges. If Bradley’s total is one-eighth the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
What is 2 3/4 - 1 2/5 divided by 2/3 - 1/3 ?
There are 4 magazines lying on a table; 2 are fashion magazines and the other 2 are sports magzines. If 1 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?
We bought a total of 80 books at the store. Math books cost $4 and history books cost $5. The total price was $373. How many math books did we buy?
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference W between n and m?
Joan and Karl each bought a TV and the sum of their purchases was $500. If twice of what Joan paid was $40 more than what Karl paid, what did Joan pay for her TV?
Sakshi can do a piece of work in 20 days.Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work :
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer T between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
How many of the integers between 45 and 105 are even ?
John takes 15 hours to complete a certain job, while Bill takes only 5 hours to complete the same job. If Steve is faster than John but slower than Bill at completing the same job, then which of the following could be the time it takes the three men together, working at their constant, individual rates, to complete the job?
A man’s current age is (2/5) of the age of his father. After 5 years, he will be (1/2) of the age of his father. What is the age of father at now?
If the numbers 1 to 97 are written on 97 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
Express 30 mps in kmph?
Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Euro 1000 more than D, what is B's share?
The total of company C's assets in 1994 was 100% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
Eric throws 2 dice,and his score is the sum of the values shown.Sandra throws one dice and her score is the square of the value shown. what is the probabilty that Sandras score will be strictly higher than Erics score??
Sides of a rectangular park are in the ratio 3: 2 and its area is 1536 sq m, the cost of fencing it at 50 ps per meter is?
A 270-metre-long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 secs. What is the length of the other train?
Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 7790, then what will be the share of Sameer in the profit?
There is a road beside a river. Two friends started from a place A, moved to a temple situated at another place B and then returned to A again. One of them moves on a cycle at a speed of 12 km/hr, while the other sails on a boat at a speed of 10 km/hr. If the river flows at the speed of 4 km/hr, which of the two friends will return to place A first?
Find out the wrong number in the series. 6, 12, 48, 104, 384, 768, 3072
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
What is the number of different committees of 6 people that can be selected from a group of 10 people?
Two pipes A and B can separately fill a tank in 12 minutes and 15 minutes respectively. Both the pipes are opened together but 8 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
A certain clock marks every hour by striking a number of times equal to the hour,and the time required for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stroke and the end of the last stroke is 11 seconds. at 12:00 ,how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
Dividing by 3⁄8 and then multiplying by 5⁄8 is the same as dividing by what number?
The average age of a family of four members is 25 years. If the age of the youngest member be 15 years then what was the average age of the family at the time of the birth of the youngest member?
Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 100kmph, find the rate at which the train B runs.
In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:4:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?
If Rs. 578 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively?
Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=3/4, what is the ratio of rectangle A’s area to rectangle B’s area?
If a sequence of 8 consecutive odd integers with increasing values has 3 as its 7th term, what is the sum of the terms of the sequence?
A and B can do a work in 18 day, B and C in 30 days, A and C in 22 (1/2) days. In how many days can A,B and C individually do the work?
If points A and B are (8-3) units apart, which of the following can have only one possible value? I. The area of a square region with side AB II. The circumference of a circle passing through points A and B III. The area of a rectangular region with diagonal AB
If six persons sit in a row, then the probability that three particular persons are always together is?
The product Z of two prime numbers is between 20 and 60. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 18 but less than 36 then what is Z?
If there are 156 laborers in a crew, and on a certain day, 70 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
The smallest 2 digit prime number is?
A can do a piece of work in 90 days & Y can do it in 80 days. They began working together but A leaves after some days and then B completed the remaining work in 46 days. The number of days after which A left the work was?
If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 11 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)
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 50% more recliners. What is the percentage increase of the gross?
Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 5 grades are D's. What is the number of students in the course?
After decreasing 15% in the price of an article costs Rs.915. Find the actual cost of an article?
In a recent election, James received 1.5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election?
Victor's job requires him to complete a series of identical jobs. If Victor is supervised at work, he finishes each job three days faster than if he is unsupervised. If Victor works for 144 days and is supervised for half the time, he will finish a total of 36 jobs. How long R would it take Victor to complete 10 jobs without any supervision?
If Tim had lunch at $50.50 and he gave 10% tip, how much did he spend?
If two integers x, y (x>y) are selected from -10 to 10 (inclusive), how many possible cases are there?
When all the students in a school are made to stand in rows of 60, 35 such rows are formed. If the students are made to stand in rows of 25, how many such rows will be formed ?
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 140 m long?
A can finish a work in 21 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?
A double decked bus can accomodate 120 passengers,50 in the upper deck and 70 in the lower deck.In how many ways can the passengers be accomodated if 15 refuse to be in the upper deck while 10 others refuse to be in the lower deck?
A student has 8 trousers and 11 shirts. In how many different ways can the student select a trouser and a shirt?
At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?
A, B, C hired a car for Rs. 720 and used it for 9, 10 and 13 hours respectively. Hire charges paid by B are:
10 machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machines, each working at the same constant rate, will be needed to complete the Job in 8 days?
A man can place 6 large boxes or 9 boxes inside a carton. Can you calculate in how many cartons can he place 66 boxes ?
The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of
The sum of three consecutive even numbers is 63. Find the middle number of the three?
A "digital word" is defined as a four-letter combination of the digits 1 and 0 only. How many "digital words" are there?
If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?
How many positive integers less than 254 are multiple of 4 but NOT multiples of 6?
In how many ways can you sit 8 people on a bench if 5 of them must sit together?
Amit and Ananthu can do a work in 15 days and 25 days respectively. Amit started the work and left after 3 days. Ananthu took over and completed the work. In how many days was the total work completed?
How many 4 digit numbers that do not contain the digit 2 are there?
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
The difference between the compound interest and the simple interest accrued on an amount of Rs. 18,000 in 2 years was Rs. 405. What was the rate of interest p.c.p.a. ?
Look at this series: 664, 332, 340, 170, ____, 89, ... What number should fill the blank?
What is the remainder when 9^381 is divided by 5 ?
The avg weight of A,B & C is 84 kg. If D joins the group, the avg weight of the group becomes 80 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 79 kg. What is the weight of A?
Of the 5 distinguishable wires that lead into an apartment, 2 are for cable television service, and 3 are for telephone service. Using these wires, how many distinct combinations of 3 wires are there such that at least 1 of the wires is for cable television?
P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work?
In what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way?
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is
What is the total cost of 2 sandwiches at $2.49 each and 4 sodas at $1.87 each?
The ratio of red, yellow, and green jelly beans in a jar is 2:4:5. If the number of jelly beans is increased by 60%, 50%, and 40% respectively, what will be the new ratio?
If the mean of weight of students in a class of weight 38, 50, 70, 88 and 110 is 71.5 kg, what is the mean of the class if student of weight 50 kg left the class?
If A speaks the truth 70% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
Convert the following into a fraction:1.0%
If four coins are tossed, the probability of getting two heads and two tails is ?
The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?
A young girl counted in the following way on the fingers of her left hand. She started collang the thumb 1, the index finger 2, the middle finger 3, the ring finger 4, the little finger 5, then reversed direction calling the ring finger 6, the the middle finger 7, the index finger 8, the thumb 9 then back to the index finger for 10, the middel finger for 11, and so on. She counted up to 1993. She ended on her
At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Twice as many students attend math class compared to people who attend history class. If 2 people began attending history class instead of math class, the ratio of math students to history students would be 1 to 1. How many students total attend these two classes? Hint: No students attend both math and history class.
What is the sum of this series? 1, 3, 5, 7, 9, ...... 99.