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big_math_dataset

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If x = y^2, and x and y are positive integers, which of the following could be the value of x?
The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 44. What is a possible value for the mean of the distribution?
The cost per unit of electricity during a 4 year period is as follows: Year 1, $0.5 per unit; Year 2, $1.0 per unit; Year 3, $1.5 per unit; Year 4, $2 per unit. If a factory spent equal dollars on electricity each year, what was the average cost of a unit of electricity during the 4 year period?
Divide $600 among A,B in the ratio 1:3. How many $ that A get?
A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age two years back was?
What will come in place of the x in the following Number series? 18, 22, 30, x ,78, 142
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
What is the tens digit of 36^10?
The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
a and b are two numbers selected randomly from 1,2,3.... 25 what is the probability of a and b are not equal.
A batsman scored 160 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets.
A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
12 persons can complete the work in 18 days. After working for 6 days, 4 more persons added to complete the work fast.In how many days they will complete the work?
A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:
Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. What was the value o...
Find the compound interest accrued on an amount of Rs.14,800 at 13.5% p.a at the end of two years. (Round off your answer to nearest integer)
A local bank that has 23 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers ...
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 35000. What was Simran's share in the profit?
What is the least number of squares tiles required to pave the floor of a room 2 m 25 cm long and 1 m 35 cm broad?
The annual interest rate earned by an investment increased by 6 percent from last year to this year. If the annual interest rate earned by the investment this year was 15.90 percent, what was the annual interest rate last year?
X can finish a work in 20 days. Y can finish the same work in 15 days. Yworked for 9 days and left the job. how many days does X alone need to finish the remaining work?
Walking with 4/5 of my usual speed, I arrive at the bus stop 7 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed?
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 170. If the ratio of his marks in English and Maths is 1:4, find his marks in Science?
Two trains are moving in the same direction at 90 kmph and 36 kmph. The faster train crosses a man in the slower train in 29 seconds. Find the length of the faster train?
A train running at the speed of 60 km/hr crosses a pole in 3 seconds. Find the length of the train.
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
A man can row downstream at 16 kmph and upstream at 12 kmph. Find the speed of the man in still water .
The price of a TV was increased by 30 percent. The new price was then increased by 20 percent. A single increase of what percent is equivalent to these two successive increases?
If a = (1/2)b and c = 3a, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of a ?
A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning.
If x = y^2, and x and y are positive integers, which of the following numbers could be the value of x?
Two persons C & D started traveling from A and B which are 300 km apart, towards B and A respectively at 1.00 p.m. C travels at a constant speed of 30 kmph whereas D doubles his speed every hour. If D reaches A in 4 5/8 hours, at what time did C and D meet each other ?
The ration of the number of boys and girls in a college is 7:8. If the percentage is increase in the number of boys and girls be 20% and 10% respectively. What will be the new ration?
In a contest, a bowl contains 14 keys, only one of which will open a treasure chest. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is the probability that ...
12,?,68,129,220,347,516
If 11 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
A sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 854 in 4 years. The sum is:
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?
150 men consume 1050 kg of rice in 30 days. In how many days will 70 men consume 980 kg of rice?
A box contains 3 red balls and 3 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black?
A, B and C rents a pasture for Rs.730. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should C pay?
Two dogsled teams raced across a 300 mile course in Wyoming. Team A finished the course in 3 fewer hours than team T. If team A's average speed was 5 mph greater than team T's, what was team T's average mph?
The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person
What is the greatest positive integer n such that 3^n is a factor of 36^50?
At a monthly meeting, 3/5 of the attendees were males and 4/5 of the male attendees arrived on time. If 5/6 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is?
A train 500 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?
Which of the following integers is a divisor of(15!+14)?
The faces of storage box are to be painted by 6 different colors. In how many ways can be this be done?
Tom can hit a target 3times in 6shots, Karan can hit the target 2times in 6 shots & Ashwini can hit 4 times in 4 shots. What is the probability that at least 2 shots hit the target ?
If h and g are distinct prime numbers less than 10, which of the following cannot be the product of h and g?
Express of the following as a fraction: 36%
Milk is poured from a full rectangular container with dimensions 4 inches by 9 inches by 10 inches into a cylindrical container with a diameter of 6 inches. If the milk does not overflow, how many inches high will the milk reach?
A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?
The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
A recipe for a large batch of fruit juice at a factory calls for 25% oranges, 25% lemons, and 50% limes. if 200 lemons are used, how many limes are needed?
What are the two main types of access control lists (ACLs)?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 5%?
Some quantity of coffee is sold at Rs. 22 per kg, making 10% profit. If total gain is Rs. 88, what is the quantity of coffee sold?
The value of a stock is X dollars. On Sunday the stock's value grew by half of its value, but on Monday its value dropped to a second of its new value. What is the stock's value at the end of Monday?
A cistern is normally filled in 12 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 114 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?
Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have equal amount of incomes. The investment in 9% stock is how much price?
The roof of an apartment building is rectangular and its length is 4 times longer than its width. If the area of the roof is 784 feet squared, what is the difference between the length and the width of the roof?
In a test, 52% students failed in Hindi, 40% failed in English and 27% failed in both. What percentage of students passed in both the subjects?
If n is a positive integer, write s(n) for the sum of the digits of n. What is s(1) + s(2) + s(3) +...+ s(1000)?
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
If 1< x < 2, which of the following must be true? I. x^3 < x^2 II. x^2 < 2 + x III. x^2 < x^4
John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 65 miles per hour, what is v in miles per hour?
The product of all the prime numbers less than 10 is closest to which of the following powers of 10 ?
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
After a storm deposits 110 billion gallons of water into the city reservoir, the reservoir is 60% full. If the original contents of the reservoir totaled 220 billion gallons, the reservoir was approximately what percentage full before the storm?
if the ratio of two number is 5:7 and LCM of the number is 320 then what is the number.
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for fourtime as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested and the total gain was
Randy'sbar serves customers every weeknight from 5 pm to 1 am. In Randy's bar,Silvermoonbeer is sold at a constant rate except during happy hour, from 8:30 to 7:30 pm, when the rate triples. If a keg of Silvermoon beer is half empty at 5pm on Monday, and two-thirds empty at the beginning of the happy hour, when will it...
In a hostel there were 100 students. To accommodate 25 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
What is the smallest five digit number that is divisible by 16, 36, 45, and 54?
3 pumps,working 8 hours a day,can empty a tank in 2 days.How many hours a day must 4 pumps work to empty the tank in 1 day ?
A train 110 m long is running with a speed of 30 km/h. In how many seconds will the train pass a man who is running at 3 km/h in the direction opposite to that in which the train is going?
Tough and Tricky questions: Word Problems. AM Car Company wants to manufacture a new car known as Model X, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $30,500,000. The annual fixed costs for Model X total $50,200,000. In addition, each Model X car has an average cos...
A box contains 4 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
When positive integer x is divided by positive integer y, the remainder is 5. If x/y = 96.2, what is the value of y?
If 7 and 9 are factors of 60n, what is the minimum value of n?
If x⁄2 + 9⁄4 = 5⁄4, what is the value of x?
How many alphabets need to be there in a language if one were to make 1 million distinct 3 digit initials using the alphabets of the language?
A train starts full of passengers at the first station it drops 1/3 of the passengers and takes 280more at the second station it drops one half the new total and takes twelve more .on arriving at the third station it is found to have 248 passengers. Find the no of passengers in the beginning?
Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
A school has 120, 192 and 144 students enrolled for its science, arts and commerce courses. All students have to be seated in rooms for an exam such that each room has students of only the same course and also all rooms have equal number of students. What is the least number of rooms needed?
Carlos is 8 years old. In 12 years, how old will he be?
The positive integers s and t leave remainders of 2 and 3, respectively, when divided by 6. s > t. What is the remainder when s– t is divided by 6?
X and Y invest Rs.21000 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?
The sum of two numbers is 18. Their difference is 4. What are the numbers?
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Bart has $150,512 dollars in his bank account. He wants to split this money evenly among his nine daughters. What is the least amount of money (in whole number of dollars) that he must remove from his account?
How many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (7, 0), (0, -3.5), (-7, 0)?