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big_math_dataset

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A box contains 4 black, 3 red and 6 green marbles. 2 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?
A number is increased by 40 % and then decreased by 40 %. Find the net increase or decrease per cent.
If C is a whole number, C+1 is a whole number after that. If A is a whole number, what is a whole number before that?
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
If 6 Men or 8 Women take 6 days to complete some work, how many days will 8 Men and 4 Women working together take to complete the work? Can anyone explain please? The OA is 9/4
Out of three numbers, the first is twice the second and is half of the third. If the average of the three numbers is 77, the three numbers in order are?
If 6/w + 6/x = 6/y and wx = y, then the average (arithmetic mean) of w and x is
Peter invests $100,000 in an account that pays 10% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 10% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximately how much more ...
A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work?
Machine A working alone can complete a job in 12 hours. Machine A+B working alone can do the same job in 15 hours. How long will it take machine B working at their respective constant rates to complete the job?
Kim finds a 3-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
Of the votes cast on a certain proposal, 62 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
If [Y] denotes the least integer greater than or equal to Y and [Y] = 0, which of the following statements must be true?
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.27000. What will be the ratio in which they should share the profit at the end of the year?
An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 28 metre of cloth ?
The value of x + x(x^x) when x = 5 is
Find the missing number in the given sequence : 1,5,9,13,?,21,25,?
An empty wooden vessel weighs 20% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
The average of first five prime numbers greater than 10 is?
If the cost of x meters of wire is d rupees, then what is the cost of y meters of wire at the same rate?
How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 26%?
A room of 6m 00cm long and 8m 00cm broad is to be paved with square tiles. Find the least number of square tiles required to cover the floor.
Which of the following is not divisible by 3?
A 21% stock yielding 10% is quoted at :
Five years ago, the ratio of ages of P and Q was 3:2. Ten years from now, the ratio of their ages will be 6:5. What is P's age at present?
Two persons start running simultaneously around a circular track of length 500 m from the same point at speeds of 16 kmph and 20 kmph. When will they meet for the first time any where on the track if they are moving in the opposite direction ?
If a < b < c , which of the following must be true? (I) a > b^2 (II) b − a < c (III) a^2 < b^2 < c^2
If TIER is written as 7168 and BRAIN is written as 28415, how is RENT coded ?
A person want to give his money of $4500 to his 4 children A,B,C,D in the ratio 2:4:5:4. What is the A+B share?
3,5,9,15,23,33,__
A man’s current age is (2/5) of the age of his father. After 14 years, he will be (1/2) of the age of his father. What is the age of father at now?
At a meeting of 9 Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the Chiefs of Staff be seated around a circular table?
A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the total amount of money that the student earned for the 20 days? Amounts earned per day : $96 $84 $80 $70 $48 Number of days : 4 7 4 3 2
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
The digit in unit's place of the product (459 ×46×28×484) is 2, the digit in place of * is
A cricket bat is sold for $850, making a profit of $205. The profit percentage would be
Two trains are running in opposite directions with the same speed. If the length of each train is 300 m and they cross each other in 12 sec, then the speed of each train is?
The sum an integer N and its reciprocal is equal to 78/15. What is the value of N?
Which of the following no must added to 5678 to give a remainder of 35 when divided by 460?
An article costing rs.160 is sold at 5% discount on a mark-up price. What is the selling price after discount?
A diagonal of a polygon is an segment between two non-adjacent vertices of the polygon. How many diagonals does a regular 45-sided polygon have?
Dany bought a total of 22 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
A shipment of 8 TV sets contains 3 black and white sets and 5 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 30, find the number?
Tough and Tricky questions: Statistics. Set X consists of prime numbers {3, 11, 7, F, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X?
Dylan is on a road trip. He planned on arriving at his destination, 2150 miles away, in 6 days. In the first day, he traveled 310 miles. In the next three days, he travels 1140 miles. How many miles, on average, does Dylan need to travel in the next two days to reach his destination?
man is 36 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
If n is a positive integer and n^2 is divisible by 212, then the largest positive integer that must divide n is
In a 280 meters race A beats B by 56 m or 7 seconds. A's time over the course is:
Find the average of the series : 212, 152, 142, 132 and 112?
There are two numbers. If 20% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
In a hostel, the number of students decreased by 15% and the price of food increased by 20% over the previous year. If each student consumes the same amount of food then By how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous ...
7.51 8.22 7.86 8.36 8.09 7.83 8.30 8.01 7.73 8.25 7.96 8.53 A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If th...
The speeds of 3 cars in the ratio 2:3:4. The ratio between time taken by them to travel the same distance is?
What will come in place of the x in the following Number series? 65536, 32768, 16384, 8192, x
A train 100 meters long completely crosses a 350-meter long bridge in 40 seconds. What is the speed of the train in km/h?
The average age of 3 boys is 15 years and their ages are in the proportion 1:2:3. The age of the youngest boy is?
Rohan ranked eleventh from the top and twenty-seventh from the bottom among the students who passed the annual examination in a class. If the number of students who failed in the examination was 12, how many students appeared for the examination?
If -13 < 7a + 1 < 29 and 19 < 2 - b < 23, what is the maximum possible integer value of a + b?
In a weight-lifting competition, the total weight of Joe's two lifts was 600 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
According to the directions on a packet of smoothie mix, 1 3-ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie. How many 2-ounce packets of smoothie mix are required to prepare 150 12-ounce smoothies?
Mohan paid a sum of money for purchasing 30 pens, which he recovered in full when he sold 15 of them. What was his percentage of profit or loss per pen?
If 5^10 x 2^10 = 10^n what is the value of n?
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Pipe A can fill a tank in 7 hours, pipe B in 14 hours and pipe C in 42 hours. If all the pipes are open,in how many hours will the tank be filled ?
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
An integer n between 1 and 99, inclusive, is to be chosen at random. What is the probability that n(n+1) will be divisible by 3 ?
The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 60, then 1/m + 1/n is equal to
On what dates of April, 2001 did Wednesday fall?
The sticks of same length are used to form a triangle as shown below.If 87 such sticks are used then how many triangles can be formed?
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 5?
If x = –2, what is the value of 4x^3?
Adam has s pairs of shoes, which is 1/2 as many as Katherine and twice as many as Julie. In terms of s, how many pairs of shoes do the three of them have combined?
A table is bought for Rs.800/- and sold at Rs.600/- find gain or loss percentage
Two numbers are less than third number by 34% and 37% respectively. How much percent is the second number less than by the first
The average of first 10 prime numbers is?
The speed of a boat in still water is 12 kmph. What is the speed of the stream if the boat can cover 32 km downstream or 16 km upstream in the same time?
The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :
A man is 20 mins late to the office if he walks at 20 kmph, and 15 mins earlier if he walks at 30 kmph. How much time will he be early/late if he walks at 25 kmph?
Calculate the value of 8.14 x 10^3 ?
The ratio of two numbers is 4 : 5 and their H.C.F. is 4. Their L.C.M. is
A certain debt will be paid in 52 installments from January 1 to December 31 of a certain year. Each of the first 12 payments is to be $410; each of the remaining payments is to be $65 more than each of the first 12 payments. What is the average (arithmetic mean) payment that will be made on the debt for the year?
One out of every 5000 computer chips is defective. If 2 out of every 30 defective chips have defective processors and there are 30 defective processors in the first batch, how many computer chips are there in the first batch?
If Solomon distributes his toys in the ratio of 1/4 : 1/6 : 1/10 : 1/9 between his four friends A, B, C and D, then find the total number of toys Solomon should have?
Anil spends 40% of his income on rent, 30% of the remaining on medicines and 20% of the remaining on education. If he saves Rs. 840 every month, then find his monthly salary?
When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/4 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?
Ravi purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a.
If y > 0, (1y)/20 + (3y)/10 is what percent of y?
This topic is locked. If you want to discuss this question please re-post it in the respective forum. Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 14 days. In how many days Peter complete the work separately.
The average weight of 6 person's increases by 4.5 kg when a new person comes in place of one of them weighing 75 kg. What might be the weight of the new person?
If Aug 15th,2012 falls on Thursday then June 11th,2013 falls on which day ?
-88 × 39 + 312 = ?
Rob traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.
A certain cube floating in a bucket of water has between 75 and 85 percent of its volume below the surface of the water. If between 9 and 16 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
An inspector rejects 0.08% of the meters as defective. How many will be examine to project ?
In how many ways can the letters of the word, ‘LANGUAGE’ be arranged in such a way that the vowels always come together?
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is?