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big_math_dataset

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m^n =2401 wat is m/n?
A and B go around a circular track of length 100 m on a cycle at speeds of 18 kmph and 36 kmph. After how much time will they meet for the first time at the starting point?
The speed of a boat in still water in 22 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:
A company decreased the price of its main product by 25%. Subsequently, the number of units sold increased such that the total revenue remained unchanged. What was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?
A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of 4 cubic feet. If a large block has twice the width, twice the depth, and twice the length of a normal block, what is the volume of cheese in a large block in cubic feet?
If line L passes through point (m, n) and (– m, – n), where m and n are not 0, which of the following must be true? I. The slope of L is positive II. The slope of L is negative III. L exactly passes not through 2 quadrants
Arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 2. What value is exactly 2 standard deviations less than the mean?
There are 35 students in a hostel. If the no. of students increases by 3, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs 1. Find the original expenditure of the mess?
A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 21 days, A finished the remaining work. In how many days A alone can finish the job?
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 38
What is the square root of 9?
Convert the 11/36 m/s into kilometers per hour?
If in a certain code 3 * 4 = 25 and 6 * 8 = 100 then what is the value of 12 * 5?
If x and d are both integers, x>d, and -x>19, then the largest value of d would be?
If A,B,C,D,E,F,G,H,I,J are in an decreasing Arithmetic Progression as such. Then Which of the following operations will result in both mean and the median being modified. A) A is removed B) E and F are removed C) B and I are removed D) A,B,C,H,I,J are removed E) A and E are removed
Set S consists of integers {7, 8, 10, 12, 13}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 10%. What is the value of integer n?
If (4 - x)/(3 + x) = x, what is the value of x^2 + 4x - 4?
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 5000 Km?
What is the rate percent when the simple interest on Rs.800 amount to Rs.160 in 4 Years?
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
A train 270 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
In the coordinate plane a slope of the line K is 3/2 times the x-intercept of the line K. What is the y-intercept of the line K?
The average monthly salary of 20 employes in an organisation is Rs.1500. If the manager's salary is added, then the average salary increases by Rs.100. What is the manager's monthly salary?
What percent of 6.3 kg is 25 gms ?
x = 13.175 y = 7.496 z = 11.545 The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
If X+Y = 2X+Z, X-2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z?
Find the next number ? 7,14,55,110,?
A 300 meter long train crosses a platform in 54 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Four boys and three girls stand in queue for an interview. The probability that they stand in alternate positions is? Correct
John purchased a grinder and a mobile for Rs. 15000 &Rs. 8000 respectively. He sold the grinder at a loss of 2% and the mobile phone at a profit of 10%. Overall how much he make a profit.
players a to z play a league match in which every player plays a match against every other player. a win earns 2 points, a draw 1 point and loss 0 points. there were no draws, and no two players had the same total points. the rank list of the players happens to be the alphabetical list itself. which of the following statement is true?
What is the units digit of 18! + 5 ?
The banker’s gain on a sum due 3 years hence at 17% per annum is Rs. 100. The banker’s discount is
What is the difference between 80% of 170 and 35% of 300.
Find the ratio of purchase price and sell price if there is loss of 12 1/(2 )%
The angles of a triangle are in the ratio 1:3:16. Find the measurement of the largest of three angles of triangle.
From a bag containing 12 identical blue balls, y identical yellow balls, and no other balls, one ball will be removed at random. If the probability is less than 2/5 that the removed ball will be blue, what is the least number of yellow balls that must be in the bag?
City A to city B, Andrew drove for 1hr at 44 mph and for 3 hours at 60 mph. What was the average speed for the whole trip?
Mrs. Rodger got a weekly raise of $195. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
A box contains 14 pairs of shoes (28shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
How much interest will $10,000 earn in 9 months at an annual rate of 10%?
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 14 with him, what was the average amount with the group before his joining the group?
A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 4 days. How many more days are required to complete the remaining work if they work together?
Ayesha's father was 54 years of age when she was born while her mother was 44 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
If 6 (A's capital) = 8 (B's capital) = 18 (C's capital). Then the ratio of their capitals is?
Find the amount on Rs.4000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
What is the median from the below series 52, 56, 59, 54, 60, 51, 63, 58, 53, 62, and 50
What is the largest 4 digit number exactly divisible by 12?
There are 50 employees in the office of ABC Company. Of these, 22 have taken an accounting course, 14 have taken a course in finance and 15 have taken a marketing course. 10 of the employees have taken exactly two of the courses and 1 employee has taken all three of the courses. How many of the 50 employees have taken none of the courses?
A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 35% impurities to the product. Find the net profit percentage of the dealer?
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 28150. What percentage of profit did he make?
A circular swimming pool is surrounded by a concrete wall 4 feet wide.if the area of the wall is 11/25 of the area of the pool, then the radius of the pool in feet is?
Rs.200 amounts to Rs.800 in 8 years at simple interest. If the interest is increased by 5%, it would amount to how much?
A driver would have reduced the time it took to drive from home to the store by 1/4 if the average speed had been increased by 10 miles per hour. What was the actual average speed, in miles per hour, when the driver drove from home to the store?
An investment of d dollars at k percent simple annual interest yields $900 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $1,800 over a 3 year period?
Find the sum of all the four digit numbers which are formed by digits 1, 2, 5, 6 A. B. C. D.
How many 2 digit number satisfy the following. that last digit of the square of the 2 digit number is 8 ?
What is the area of a square field whose sides have a length of 14 meters?
Here is a list of names with numbers assigned to them Lavesh = 622 Anmol = 522 Shruti = 620 Aakriti = 742 Based on above Logic what is the value of Sonal ?
If (x - 1)^2 = 361, which of the following could be the value of x - 5?
There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 54%
In an IT company, there are a total of 60 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?
How many number of 3's would be used to type numbers from 1 to 700
A and B are working on an assignment. A takes 6 hours to type 32 pages on a computer, while B takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
If 144/x is an integer and 100/x is an integer, which of the following must be true? I. 9/x is an integer II. 12/x is an integer III. 36/x is an integer
1, 9, 25, 49, 81, ?
The ages of Patrick and Michael are in the ratio of 3 : 5 and that of Michael and Monica are in the ratio of 3 : 5. If the sum of their ages is 141, what is the difference between the ages of Patrick and Monica?
A $74.95 lawn chair was sold for $59.95 at a special sale. By approximately what percent was the price decreased?
Linda spent 2/3 of her savings on furniture and the rest on a TV. If the TV cost her $250, what were her original savings?
The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?
What is the sum of the multiples of 6 from 48 to 72, inclusive?
A steel vessel has a base of length 60 cm and breadth 30 cm. Water is poured in the vessel. A cubical steel box having edge of 30 cm is immersed completely in the vessel. How much will the water rise?
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg. What might be the weight of the new person?
The sum of all the digits of the integers from 18 to 21 inclusive is 24 (1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24). What is the sum T of all the digits of the integers from 0 to 99 inclusive?
A certain list consists of 21 different numbers. If n is in the list and n is 2 times the average (arithmetic mean) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
if the ratio of two number is 2:5 and LCM of the number is 160 then what is the number.
A CREAM manufacturer produces 200 units of a certain model each month at a cost to the manufacturer of £20 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus production costs) on the sales of these units will be at least £20,000?
A watch was sold at a loss of 9%. If it was sold for Rs.220 more, there would have been a gain of 4%. What is the cost price?
How many 11-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 12345654321.
A batsman scored 150 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
The average monthly salary of 20 employees in an organisation is Rs. 1600. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
If k is an integer and 2 < k < 6, for how many different values of k is there a triangle with sides of lengths 2, 6, and k?
A fill pipe can fill 1/2 of cistern in 20 minutes. In how many minutes, it can fill 1/2 of the cistern?
A bag contains 4 red balls, 5 green balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
The number of permutations of the letters of the word 'BUBBLEGUM' is?
A shop sells two variants of chocolates - one that costs $3 and the other that costs $5. If the shop sold $112 chocolates on a given day, how many different combinations of (number of $3 sold, number of $5 sold) exist?
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
A retailer sells 10 shirts. The first 3 he sells for $20,$22 and $25. If the retailer wishes to sell the 10 shirts for an overall average price of over $20, what must be the minimum average price of the remaining 7 shirts?
Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 20 ounces of chocolate. How much chocolate is left over if he uses all the dough but only wants the cookies to consist of 10% chocolate?
If 4 men can color 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in
A certain no. when divided by 20 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
A box contains nine slips that are each labeled with one number: 1, 2, 3, 8, 13, 21, 34 and 55. Two of the slips are drawn at random from the box without replacement. What is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
Kim has 7 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 14 shoes, what is the probability that she will select 2 shoes of the same color?
A train 225 m in length crosses a telegraph post in 15 seconds. The speed of the train is?
A trader owes a merchant $10000 due 1 year hence. The trader wants to settle the account after 2 months. If the rate of interest 12% per annum, how much cash should he pay?
Which of these lines in the xy-plane does not contain any point with two negative coordinates?
Each of the 20 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 15 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed?
The cash realised on selling a 14% stock is Rs.104.25, brokerage being 1/4% is?
The triplicate ratio of 2:5 is?