dfdsfgf/big_math_dataset · Datasets at Hugging Face

question stringlengths 3 1.14k
How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 7, without any of the digits repeating?
20 people going to one temple. (some time waste data) They want Rs. 20. For men-Rs.3, women-Rs.2, children-50 paisa. How much money spends for men, children and women?
Number of students in institutes A and B were in the ratio of 7 : 15 respectively in 2012. In 2013, the number of students in institute A increased by 25% and number of students in institutes B increased by 26%, then what was the respective ratio between number of students in institutes A and B?
A land owner needs to fence his semicircular land leaving an opening of length of 3m for access. The radius of the semicircular plot is 7m. How long would be the fence in meters?
A man has Rs. 560 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 ?
What is the smallest of six consecutive odd integers whose average (arithmetic mean) is x + 2?
The grade point average of one third of the classroom is 60; the grade point average of the rest is 66. What is the grade point average of the whole class?
If half of 5 were 3, that would one-third of 10 be
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Which of the following has 15^80 as a factor?
Cream costs twice as much as skim milk. A certain brand of milk is 1/3 cream and 2/3 skim milk. What fraction of the cost of this brand is due to the cream?
The number 110 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
Given two sets A = {1,1,4,4,5,5} and B = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.22000, my total savings for the two-year is
If the SI on a certain sum of money is 4/25 of the sum and the rate per cent equals the number yrs, then the rate of interest/annum is?
A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and other digits are correct, then the correct answer would be:
One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?
Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 60 marks. How many sums did Sandy get correct?
The distance between two planets is 4 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)
Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 45 miles per hour. How many miles from the station was train A overtaken by train B?
The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm3 of metal used in the box weighs 0.5 gms, the weight of the box is?
How many liters of water must be evaporated from 50 liters of a 4 percent sugar solution to get a 5 percent sugar solution?
An urn contains 4 white 6 black and 8 red balls . If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is?
Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/3 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?
How many integers n greater than and less than 100 are there such that,if the digits of n are reversed, the resulting integer is n+9 ?
An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 12 o’clock in the afternoon?
Which of the following could be the value of x, if \|3x – 9\| = 0?
I. a^2 - 9a + 20 = 0, II. 2b^2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?
How many ways are there to select a subcommittee of 11 members from among a committee of 17?
What least number should be added to 1053, so that the sum is completely divisible by 23
The sum of three consecutive even numbers is 93. Find the middle number of the three?
A boy has 9 trousers and 15 shirts. In how many different ways can he select a trouser and a shirt?
The average age of husband, wife and their child 3 years ago was 25 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
The effective annual rate of interest corresponding to a nominal rate of 14% per annum payable half-yearly is?
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?
In a certain province in France there are 13 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
At 1:00 PM, Train X departed from Station A on the road to Station B. At 1:40 PM, Train Y departed Station B on the same road for Station A. If Station A and Station B are p miles apart, Train X’s speed is r miles per hour, and Train Y’s speed is s miles per hour, how many hours after 1:00 PM, in terms of p, r, and s, do the two trains pass each other?
The cost price of 30 articles is the same as the selling price of x articles. If the profit is 20%, what is x?
A certain psychologist charges $20 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $300, what is the total charge to a patient who receives only 3 hours of therapy ?
A man can row 5 kmph in still water. When the river is running at 2.3 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
D is the set of all the multiples of 3 between 30 and 100. E is the set of all the factors of 400. Set D and Set E have how many numbers in common?
Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. In which direction and how many metres is he from the starting position?
If 10^(b-1)< 0.000125 <10^b, what is the value of an integer b?
A chair is bought for Rs.900/- and sold at Rs.810/- find the loss percentage?
At 1:00, Annie starts to bicycle along a 84 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?
How many integers from 20 to 150, inclusive, are divisible by 3 but not divisible by 7?
The product of all the prime numbers less than 12 is closest to which of the following powers of 10 ?
A restaurant meal cost $40 and there was no tax. If the tip was more than 5 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:
The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is?
If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 70/r years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?
In an intercollegiate competition that lasted for 3 days, 115 students took part on day 1, 80 on day 2 and 100 on day 3. If 50 took part on day 1 and day 2 and 70 took part on day 2 and day 3 and 40 took part on all three days, how many students took part only on day 3?
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?
If d is a positive integer, and if the units' digit of d^2 is 4 and the units' digit of (d + 1)^2 is 1, what is the units' digit of (d + 2)^2 ?
Find the number of square tiles to cover the floor of a room measuring 10.5 m * 9.5 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?
If p=253439/1575, how many digits are in p?
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
How many four digit even numbers do not use any digit more than once
Given that 0 < a < b < c < d, which of the following the largest ?
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
If a new town has 350 residents, and the population doubles every 10 years, what will be its population after 75 years?
If 4f^4 − 41f^2 + 100 = 0, then what is the sum of the two greatest possible values of f ?
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
If X and Y are consecutive integers (Y>X), which of the following statements could be false? 1. The multiplication XY is an even number. 2. (Y/X) > 1. 3. (X + Y) is always an odd number.
Of the 100 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
An alloy weighing 26 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?
By approximately what percent is x greater than 1/3 if (2/3)(x) = 1?
By travelling at 50 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
If e = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =
Three times the first of three consecutive odd integers is 4 more than twice the third. The third integer is:
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:
John and Jacob set out together on bicycle traveling at 15 and 10 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)
A fruit seller had some mangoes. He sells 30% mangoes and still has 280 mangoes. Find the number of mangoes he had.
A certain sum of money at simple interest amounted Rs.860 in 10 years at 3% per annum, find the sum?
A boat running downstream covers a distance of 12 km in 2 hours while for covering the same distance upstream,it takes 4 hours.What is the speed of the boat in still water ?
A sum of money was invested in a bank at 8% simple interest p.a. for 3 years. Instead had it been invested in mutual fund at 8.5% p.a. simple interest for 4 years, the earning would have been Rs.500 more. What is the sum invested?
In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 6 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
The population of a bacteria colony doubles every day. If it was started 8 days ago with 3 bacteria and each bacteria lives for 12 days, how large is the colony today?
There are 20 poles with a constant distance between each pole. A car takes 24 seconds to reach the 12th pole . How much time will it take to reach the last pole?
A train 175 m long running at 36 kmph crosses a platform in 40 sec. What is the length of the platform?
A certain company charges $25 per package to ship packages weighing less than 5 pounds each. For a package weighing 5 pounds or more, the company charges an initial fee of $25 plus $6 per pound. If the company charged $36 to ship a certain package, which of the following was the weight of the package, in pounds?
A trader bought a car at 15% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
Machine A and machine B are each used to manufacture 330 sprockets. It takes machine A 10 hours longer to produce 330 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
A man can row upstream at 45km/hr and down stream at 36km/hr find mans rate of the current ?
What is the 11th term in this sequence? 1,4,5,11,18,29,49,80,129,211,
A deer is standing 70 meters in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 40 meters from the tunnel. If the deer ran in the opposite direction it would barely escape out the eastern entrance just as the train came out of the eastern entrance. How long is the tunnel in meters?
In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
An gun can take a maximum of four shots at an enemy plane moving away from it. The probability ofhitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3,1.2 & 1.1 respectively. What is the probability that theplane is hit when all the four shots are fired?
A 6" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks are there even without a single face being painted?
A shopkeeper purchased 85 kg of potatoes for Rs. 595 and sold the whole lot at the rate of Rs. 8 per kg. What will be his gain percent?
What is the probability that a leap year has 53 Sundays and 52 Mondays?
A man spends 2/5 of his salary on house rent, 3/10 of his salary on food and 1/8 of his salary on conveyance. If he has $1400 left with him, find his expenditure on food.
How many gallons of water must be mixed with 1 gallon of a 15% salt solution To obtain a 10% salt solution
How many different positive integers are factors of 20?
S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the 3rd digit of p, counting right to left from the units digit?
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many Q cents does a liter of kerosene cost? [One dollar has 100 cents.]

How many five digit numbers can be formed using digits 0,1,2,3,4,5, Which are divisible by 7, without any of the digits repeating?

20 people going to one temple. (some time waste data) They want Rs. 20. For men-Rs.3, women-Rs.2, children-50 paisa. How much money spends for men, children and women?

Number of students in institutes A and B were in the ratio of 7 : 15 respectively in 2012. In 2013, the number of students in institute A increased by 25% and number of students in institutes B increased by 26%, then what was the respective ratio between number of students in institutes A and B?

A land owner needs to fence his semicircular land leaving an opening of length of 3m for access. The radius of the semicircular plot is 7m. How long would be the fence in meters?

A man has Rs. 560 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 ?

What is the smallest of six consecutive odd integers whose average (arithmetic mean) is x + 2?

The grade point average of one third of the classroom is 60; the grade point average of the rest is 66. What is the grade point average of the whole class?

If half of 5 were 3, that would one-third of 10 be

An article is bought for Rs.675 and sold for Rs.900, find the gain percent?

Which of the following has 15^80 as a factor?

Cream costs twice as much as skim milk. A certain brand of milk is 1/3 cream and 2/3 skim milk. What fraction of the cost of this brand is due to the cream?

The number 110 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?

Given two sets A = {1,1,4,4,5,5} and B = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number

For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.22000, my total savings for the two-year is

If the SI on a certain sum of money is 4/25 of the sum and the rate per cent equals the number yrs, then the rate of interest/annum is?

A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 98 are wrong and other digits are correct, then the correct answer would be:

One side of a rectangular field is 15m and one of its diagonal is 17m. Find the area of field?

Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 60 marks. How many sums did Sandy get correct?

The distance between two planets is 4 × 10^6 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)

Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 45 miles per hour. How many miles from the station was train A overtaken by train B?

The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm3 of metal used in the box weighs 0.5 gms, the weight of the box is?

How many liters of water must be evaporated from 50 liters of a 4 percent sugar solution to get a 5 percent sugar solution?

An urn contains 4 white 6 black and 8 red balls . If 3 balls are drawn one by one without replacement, find the probability of getting all white balls.

The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is?

Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/3 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

How many integers n greater than and less than 100 are there such that,if the digits of n are reversed, the resulting integer is n+9 ?

An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 12 o’clock in the afternoon?

Which of the following could be the value of x, if |3x – 9| = 0?

I. a^2 - 9a + 20 = 0, II. 2b^2 - 5b - 12 = 0 to solve both the equations to find the values of a and b?

How many ways are there to select a subcommittee of 11 members from among a committee of 17?

What least number should be added to 1053, so that the sum is completely divisible by 23

The sum of three consecutive even numbers is 93. Find the middle number of the three?

A boy has 9 trousers and 15 shirts. In how many different ways can he select a trouser and a shirt?

The average age of husband, wife and their child 3 years ago was 25 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is

The effective annual rate of interest corresponding to a nominal rate of 14% per annum payable half-yearly is?

The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles?

In a certain province in France there are 13 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?

At 1:00 PM, Train X departed from Station A on the road to Station B. At 1:40 PM, Train Y departed Station B on the same road for Station A. If Station A and Station B are p miles apart, Train X’s speed is r miles per hour, and Train Y’s speed is s miles per hour, how many hours after 1:00 PM, in terms of p, r, and s, do the two trains pass each other?

The cost price of 30 articles is the same as the selling price of x articles. If the profit is 20%, what is x?

A certain psychologist charges $20 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $300, what is the total charge to a patient who receives only 3 hours of therapy ?

A man can row 5 kmph in still water. When the river is running at 2.3 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?

D is the set of all the multiples of 3 between 30 and 100. E is the set of all the factors of 400. Set D and Set E have how many numbers in common?

Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?

Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?

Rasik walked 20 m towards north. Then he turned right and walks 30 m. Then he turns right and walks 35 m. Then he turns left and walks 15 m. Finally he turns left and walks 15 m. In which direction and how many metres is he from the starting position?

If 10^(b-1)< 0.000125 <10^b, what is the value of an integer b?

A chair is bought for Rs.900/- and sold at Rs.810/- find the loss percentage?

At 1:00, Annie starts to bicycle along a 84 mile road at a constant speed of 14 miles per hour. Thirty minutes earlier, Scott started bicycling towards Annie on the same road at a constant speed of 12 miles per hour. At what time will they meet?

How many integers from 20 to 150, inclusive, are divisible by 3 but not divisible by 7?

The product of all the prime numbers less than 12 is closest to which of the following powers of 10 ?

A restaurant meal cost $40 and there was no tax. If the tip was more than 5 percent but less than 15 percent of the cost of the meal, then total amount paid must have been between:

The value of a 10.5% stock, in which an income of Rs.756 is derived by investing Rs.9000, brokerage being% is?

If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 70/r years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?

In an intercollegiate competition that lasted for 3 days, 115 students took part on day 1, 80 on day 2 and 100 on day 3. If 50 took part on day 1 and day 2 and 70 took part on day 2 and day 3 and 40 took part on all three days, how many students took part only on day 3?

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?

If d is a positive integer, and if the units' digit of d^2 is 4 and the units' digit of (d + 1)^2 is 1, what is the units' digit of (d + 2)^2 ?

Find the number of square tiles to cover the floor of a room measuring 10.5 m * 9.5 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms?

If p=25*343*9/1575, how many digits are in p?

Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

How many four digit even numbers do not use any digit more than once

Given that 0 < a < b < c < d, which of the following the largest ?

Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?

If a new town has 350 residents, and the population doubles every 10 years, what will be its population after 75 years?

If 4f^4 − 41f^2 + 100 = 0, then what is the sum of the two greatest possible values of f ?

3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?

If X and Y are consecutive integers (Y>X), which of the following statements could be false? 1. The multiplication XY is an even number. 2. (Y/X) > 1. 3. (X + Y) is always an odd number.

Of the 100 employees at company X, 80 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?

An alloy weighing 26 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 90 percent gold?

By approximately what percent is x greater than 1/3 if (2/3)(x) = 1?

By travelling at 50 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?

If e = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =

Three times the first of three consecutive odd integers is 4 more than twice the third. The third integer is:

A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

John and Jacob set out together on bicycle traveling at 15 and 10 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)

A fruit seller had some mangoes. He sells 30% mangoes and still has 280 mangoes. Find the number of mangoes he had.

A certain sum of money at simple interest amounted Rs.860 in 10 years at 3% per annum, find the sum?

A boat running downstream covers a distance of 12 km in 2 hours while for covering the same distance upstream,it takes 4 hours.What is the speed of the boat in still water ?

A sum of money was invested in a bank at 8% simple interest p.a. for 3 years. Instead had it been invested in mutual fund at 8.5% p.a. simple interest for 4 years, the earning would have been Rs.500 more. What is the sum invested?

In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 6 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?

The population of a bacteria colony doubles every day. If it was started 8 days ago with 3 bacteria and each bacteria lives for 12 days, how large is the colony today?

There are 20 poles with a constant distance between each pole. A car takes 24 seconds to reach the 12th pole . How much time will it take to reach the last pole?

A train 175 m long running at 36 kmph crosses a platform in 40 sec. What is the length of the platform?

A certain company charges $25 per package to ship packages weighing less than 5 pounds each. For a package weighing 5 pounds or more, the company charges an initial fee of $25 plus $6 per pound. If the company charged $36 to ship a certain package, which of the following was the weight of the package, in pounds?

A trader bought a car at 15% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?

Machine A and machine B are each used to manufacture 330 sprockets. It takes machine A 10 hours longer to produce 330 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?

A man can row upstream at 45km/hr and down stream at 36km/hr find mans rate of the current ?

What is the 11th term in this sequence? 1,4,5,11,18,29,49,80,129,211,

A deer is standing 70 meters in from the west end of a tunnel. The deer sees a train approaching from the west at a constant speed ten times the speed the deer can run. The deer reacts by running toward the train and clears the exit when the train is 40 meters from the tunnel. If the deer ran in the opposite direction it would barely escape out the eastern entrance just as the train came out of the eastern entrance. How long is the tunnel in meters?

In a certificate by mistake a candidate gave his height as 25% more than actual height. In the interview panel, he clarified that his height was 5feet 5 nches. Find the % correction made by the candidate from his stated height to his actual height?

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.

An gun can take a maximum of four shots at an enemy plane moving away from it. The probability ofhitting the plane at the 1st, 2nd, third and 4th shots are 1.4, 1.3,1.2 & 1.1 respectively. What is the probability that theplane is hit when all the four shots are fired?

A 6" cube is painted in all its faces and then it is cut down into 1" blocks. How many 1" blocks are there even without a single face being painted?

A shopkeeper purchased 85 kg of potatoes for Rs. 595 and sold the whole lot at the rate of Rs. 8 per kg. What will be his gain percent?

What is the probability that a leap year has 53 Sundays and 52 Mondays?

A man spends 2/5 of his salary on house rent, 3/10 of his salary on food and 1/8 of his salary on conveyance. If he has $1400 left with him, find his expenditure on food.

How many gallons of water must be mixed with 1 gallon of a 15% salt solution To obtain a 10% salt solution

How many different positive integers are factors of 20?

S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the 3rd digit of p, counting right to left from the units digit?

In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many Q cents does a liter of kerosene cost? [One dollar has 100 cents.]