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big_math_dataset

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P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 2 days. How many days more will P take to finish the work?
Kim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Kim and Renee have an equal chance of choosing any one of the hand signs, what is the probability ...
If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 4, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three? A. B. C. D. E.
The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#42?
two watches (non- digital) one gained at the rate of 1 minute and the other lost at the rate of 1 minute daily were se correctly at noon on first january 1988. when will the watches indicate the same time next ?
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
The time taken by Mr.Dhoni to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 72 kmph, find the speed of the stream?
P software has coding line 5% more than N, N software has coding line 1/2 more than M. M software has 100 lines of coding. find P lines.
A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent?
475.124 x 15.98 ÷ 8.001 + 33.33 = ?
Can you deduce the pattern and find the next number in the series? 3, 24,81, 192, __?
The value of x.1234 - X = 4234 - 3361
If a: b = 17: 5, b: c = 13: 11, find a: b: c?
Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager?
Two goods trains each 820 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
A car is traveling 54 kilometers per hour. How many meters does the car travel in one minute?
Find the face value of 7 in 942756
The mean of 50 observations is 100. But later he found that there is decrements of 13 from each observations. what is the the updated mean is ?
What is the probability that the sum of two numbers that are selected randomly from a set of numbers will be greater than 6 if the given set is {2,4,6}
The tax on a commodity is diminished by 20% and its consumption increased by 15%. The effect on revenue is?
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
Two-third of a positive number and 64/216 of its reciprocal are equal. The number is:
In 1986 the book value of a certain car was 2/3 of the original price, and in 1988 its book value was 1/2 of the original purchase price. By what percent did the book value for this car decre ase from 1986 to 1988?
In how many ways can the letters of the word, ‘TECHNOLOGY’ be arranged?
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
If f(x) = 3x^4 - 4x^3 - 2x^2 + 5x , then f(-1) =
The speed of the boat in still water in 12 kmph. It can travel downstream through 45 kms in 3 hrs. In what time would it cover the same distance upstream?
I was facing west.I turned 125 degree in the clockwise direction and 10degree in the anticlockwise direction.Which direction am i facing now?
Of 440 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B?
The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 220 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
If each side of a square is increased by 20%, find the percentage change in its area?
A father and his son are waiting at a bus stop in the evening. There is a lamp post behind them. The lamp post, the father and his son stand on the same straight line. The father observes that the shadows of his head and his son’s head are incident at the same point on the ground. If the heights of the lamp post, the f...
How long does a train 90 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $300, what were her original savings?
If the number is divided by 3, it reduced by 48. The number is
If a: b = 12: 6, b: c = 9: 7, find a: b: c?
The average salary per head of the entire staff of an office including the officers and clerks is Rs.90. The average salary of officers is Rs.500 and that of the clerks is Rs.84. If the number of officers is 2, find the number of officers in the office?
How many different subsets of the set {0, 1, 2, 3} do not contain 0?
If two numbers are in the ratio 3:4. If 10 is added to both of the numbers then the ratio becomes 4:5 then find the smallest number?
Triathlete Dan runs along a 4-mile stretch of river and then swims back along the same route. If Dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 40 kg. What is the weight of the new person?
A rectangular box has two sides whose lengths are 3 centimeters and 9 centimeters and a volume of 135 cm3. What is the area of its largest side?
If both 5^2 and 3^3 are factors of n x (2^5) x (12^2) x (7^3), what is the smallest possible positive value of n?
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 39 min, then the slower pipe alone will be able to fill the tank in?
A boy is travelling from his home to school at 5 km/hr and reached 7 min late. Next day he traveled at 10 km/hr and reached 8 min early. Distance between home and school?
Two spherical balls lie on the ground touching. If one of the balls has a radius of 8 cm, and the point of contact is 12 cm above the ground, what is the radius of the other ball (in centimeters)?
Simplify 70−[5−(6+2(7−8−5¯¯¯¯¯¯¯¯¯¯¯))]
Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $102 dollar...
Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
If y is 90% greater than x, than x is what % less than y?
Find out the wrong term. 2, 5, 10, 50, 500, 5000
What is the average of 1/2, 2/5 and 1/10?
John invests $x at the semi-annual constant compounded rate of 2 percent and also does $20,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
10^23-7 is divided by 6, remainder is?
Arjun started a business with Rs. 20,000 and is joined afterwards by Anoop with Rs.30, 000. After how many months did Anoop join if the profits at the end of the year are divided equally?
John's Bank's saving amount is decreased 12% due to loan payment and current balance is Rs.44000. Find the actual balance before deduction?
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is?
3A = 4B = 5C, A : B : C = ?
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
In a certain fish pond, 1 out of every 120 bass are caught. If 3 out of every 4 caught bass are fried for dinner, and there are 9 fried bass for dinner, how many bass total are there in the pond?
Reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. If she paid $ 300 as interest at the end of the loan period, what was the rate of interest?
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
The angle between the minute hand and the hour hand of a clock when the time is 8.30, is
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?
R is the set of positive even integers less than 20, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
Let q represent the integer length of a side of a triangle. If r represents the number of distinct values for q such that we can create a triangle with lengths q, 10, and 12, what is the value of r?
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers?
The greatest number by which the product of three consecutive multiples of 7 is always
If a number is formed by writing integers 1 to 150 one after another, like 12345...150. How many digits does this integer consists of?
The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?
A piece of work can be done by Ram and shyam in 12 days, By shyam Nad hari in 15 days and by hari and ram in 20 days. Ram alone can complete the work in how much days ?
John has 4 friends who want to ride in his new car that can accommodate only 3 people at a time (John plus 2 passengers). How many different combinations of 2 passengers can be formed from John's 4 friends?
As x increases from 165 to 168, which of the following must increase? I. 2x - 5 II. 1 - 1/x III. 1/(x^2 - x)
The charge for a single room at Hotel P is 50 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G?
What is the minimum number of years upon which SI on Rs 2600 at 6.67% interest rate will be in whole number?
Three partners A, B, C in a business invested money such that 5(A’s capital) = 7(B’s capital) = 9(C’s capital) then, The ratio of their capitals is
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 75000rs,what is the value of buzness?
A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
If 15% of A is the same as 30% of B, then A : B is :
In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability R that the worker is under 25 years old?
If 76 is divided into four parts proportional to 7, 5, 3, 4 then the smallest part is
The H.C.F of two numbers is 36 and their L.C.M is 1600. If one of the numbers is 160, find the other?
The function f(W) represents the number of ways that prime numbers can be uniquely summed to form a certain number W such that W = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?
Which of the following is closest to 1/3+1/33+1/333
When you draw 2 dices together, find the probability of getting a total of 6?
Find the area of a parallelogram with base 34 cm and height 18 cm?
The sum of three consecutive multiples of 3 is 90. What is the largest number?
An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases?
After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 74%? M13-03.
What is the units' digit of the following expression (13)^5*(15)^4*(17)^5?
By selling an article for $180, a person gains $30. What is the gain %?
All of the stocks on the over-the-counter market are designated by either a 6-letter or a 7-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
What will come in place of the x in the following Number series? 6, 12, 21, x , 48
The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 2/5 of that total. What was the price of the basic computer?
A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $234 for it, the cost price of the Cricket Bat for A is:
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Select the one which is different from other Four alternatives.