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big_math_dataset

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If 5^5 × 5^x = (125)^4 , then what is the value of x?
Aravamudhan, Balakrishnan and Chinnan work in a developing software company in starting level positions. However their salaries are different. Aravamudhan's salary to Balakrishnan's salary and Balakrishnan's salary to Chinnan's salary are in the ratio 4:3. If the total salary of all the three employees is Rs.29230, what is the salary of Chinnan?
Buses leave town B at 3 pm and every 10 hours after that. Buses leave town C at 4pm and every 15 hours after that. If the buses follow this schedule beginning on a Monday, what is the earliest day G on which the buses leave at the same time.
There are two positive integers a and b.What is the probability that a+b is odd/
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
A coin is tossed live times. What is the probability that there is at the least one tail?
If 70 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 4 men and 5 women will do that task.
Find the surface area of a 12 cm x 4 cm x 3 cm brick.
1397 x 1397=?
A merchant marks his goods up by 40% and then offers a discount of 10% on the marked price. What % profit does the merchant make after the discount?
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?
The H.C.F. of two numbers is 20 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
A man's speed with the current is 12 km / hr and the speed of the current is 2 km / hr. The man's speed against the current i
A man is 24 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 f(x)=4x−1 and g(x)=2x+1 for all integers, which of the following is a possible value of g(f(x))?
In a tree, 1/5 of the birds are robins while the rest are bluejays. If 1/2 of the robins are female and 2/5 of the bluejays are female, what fraction of the birds in the tree are male?
The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet?
A man can row his boat with the stream at 36 km/h and against the stream in 8 km/h. The man's rate is?
The avg weight of A,B & C is 50 kg. If D joins the group, the avg weight of the group becomes 53 kg.If another man E who weights is 3 kg more than D Replaces A, Then the avgof B,C,D&E becomes 51 kg. What is the weight of A?
Ifaequals the sum of the even integers from 2 to 120, inclusive, andbequals the sum of the odd integers from 1 to 119, inclusive, what is the value of a - b ?
A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400.
Rebecca's annual income is $15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's annual income increase so that it constitutes 50% of Rebecca and Jimmy's combined income?
48 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
If x, y and z are three different positive integers whose sum is prime, which of the following statements could be true?
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Solve the given two equations and find the inequality of X and Y. (a) x^2-1=0 and (b) y^2+4y+3=0
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?
AB + CD = RRR, where AB and CD are two-digit numbers and RRR is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
Working together, printer A and printer B would finish the task in 40 minutes. Printer A alone would finish the task in 60 minutes. How many pages does the task contain if printer B prints 4 pages a minute more than printer A ?
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?
Walking at 8KMPH From Point W to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point W to Railway station?
A carpenter is building a frame for a wall painting. The painting is in the shape of a rectangle. If the sides of the rectangle are in the ratio of 3:2 and the shorter side has a length of 22 inches, how many inches of framing material does the carpenter need to frame the painting?
The first year, two cows produced 8100 litres of milk. The second year their production increased by 15% and 10% respectively, and the total amount of milk increased to 9100 litres a year. How many litres were milked the second cow in the second year?
X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join?
The surface of a cube is 96sq cm. Find its volume?
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
It takes 3 workers a total of 12 hours to build a giant machine with each worker working at the same rate. If 4 workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 3:00 PM, at what time will the machine be complete?
A meal cost $ 35.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:
Which one of the following is the common factor of (47^43 + 43^43) and (47^47 + 43^47) ?
Eight friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $290. If one of the friends had a coupon for 29% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
What is the sum of the prime factors of 3 and the prime factors of 1656?
For any positive x, y and z if x is n% of y and z is m% of y then what percentage E must x be of z?
If 105 divides into n with no remainder, which of the following must be a factor of n?
Two numbers are in the ratio of 5:9. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 70% chance of rain each of the next two evenings, what is the probability that Chris will be able to attend the game?
How many 2 3/4 foot pieces of cable can be cut out of a piece that is 30 feet long?
The perimeter of one square is 44 cm and that of another is 20 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 9 hours. How many hours will take C alone to fill the tank?
The difference between a number and its three-fifths is 50.What is the number?
Number N is randomly selected from a set of all primes between 10 and 40, inclusive. Number Z is selected from a set of all multiples of 5 between 10 and 40 inclusive. What is the probability that N+Z is odd?
A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?
If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer x?
A person starting with Rs.64 & making 6 bets, wins three times and loses 3times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If eachwager is for half the money remaining at thetime of the bet, then the final result is?
The 19th of September 1987 was a Saturday. If 1988 was a leap-year, what day of the week was the 22nd of September 1990?
When 100 is divided by positive integer x, the remainder is 4. What is the remainder when 196 is divided by x?
An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq. m ?
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 48 meter head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Submarine P and Submarine Q are equipped with sonar devices that can operate within a 2,000 yard range. Submarine P remains in place while Submarine Q moves 1,700 yards south from Submarine P. Submarine Q then changes course and moves due east, stopping at the maximum range of the sonar devices. In which of the following directions can Submarine Q continue to move and still be within the sonar range of Submarine P? I. North II. South III. West
Number of divisors of 22050 except 1 and itself is.
Paul completes a piece of work in 80 days, Rose completes the same work in 120 days. If both of them work together, then the number of days required to complete the work is?
If log303 = a, log305 = b, then log308 =?
If the height of an equilateral triangle QBC is equal in length to the hypotenuse of an isosceles right triangle DEF, a side of ΔQBC is how many times as long as a leg of the right triangle DEF?
If a-b= 6 and a^2+b^2=100, find the value of ab
Find the area of a parallelogram with base 24 cm and height 16 cm.
If Q is an odd number and the median of Q consecutive integers is 110, what is the largest of these integers?
The area of one square is x^2 + 10x + 25 and the area of another square is x^2 − 6x + 9. If the sum of the perimeters of both squares is 32, what is the value of x?
What is the value of 3x^2 − 2x + 0.3 for x = 0.5?
A certain manufacturer of cake, muffin, and bread mixes has 90 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
The avg. age of a group of 32 students is 20 years.If 4 more students join the group,the avg age increases by 1 year.The avg age of the new student is?
Find the C.I. on Rs. 15,625 for 9 months at 16% per annum compounded quarterly?
In my core I have 5 But 500 stand in the beginning and the end of mine. I also include the first letter and the first number to make me complete. I am the name of a King. Who am I?
A train 120 m long passed a pole in 20 sec. How long will it take to pass a platform 780 m long?
Raju age after 9 years will be 5 times his age 3 years back, What is the present age of Raju
The perimeter of a rhombus is 120 feet and one of its diagonal has a length of 40 feet. Find the area of the rhombus.
How many positive integers less than 24 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?
Find the average of the series : 235,222,125,135,123
(0.5)(power 3) - (0.1)(power 3)/ (0.5)(power 2) + 0.05 + (0.1)(power 2) is:
At a certain ice cream parlor, customers can choose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. Considering both ice cream flavor and cone type, how many distinct triple-scoop cones with three different ice cream flavors are available?
Set K contains every multiple of 6 from 18 to 306 inclusive. If w is the median of set K, and x is the average (arithmetic mean) of set K, what is the value of w-x?
In a 300 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. What is the least number of members who are homeowners?
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
The labeled price of a table is Rs. 7,500. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
From the set of numbers {t, u, v, w, x, y, z}, how many different combinations can we have without the t in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x)
Find out the C.I on Rs.3000 at 4% p.a. compound half-yearly for 1 1/2 years.
If a man can cover 20 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
The area of a square field is 7201 sq m. How long will a lady take to cross the field diagonally at the rate of 2.4 km/hr?
What is the rate percent when the simple interest on Rs.5000 amount to Rs.2500 in 5 Years?
The speed of light is approximately 1,86 * 10^6 miles per second. This approximate speed is how many miles per hour?
If y > 0, (8y)/20 + (3y)/10 is what percent of y?
If p, q and r are positive integers and satisfy x = (p + q -r)/r = (p - q + r)/q = (q + r - p)/p, then the value of x is?
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
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.?
A diagonal is a line segment that connects non-adjacent vertices in a polygon. How many diagonals does an octagon have?
The slant height of a cone is 18 cm and radius of the base is 8cm, find the curved surface of the cone?
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
What least value must be assigned to * so that the number 197*5462 is divisible by 9