question
stringlengths
3
1.14k
Two goods train 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.
99,994^2 - 6^2 =
Of the three numbers, second number is two times bigger than the first number and is also three times bigger than the third number. If the average of the three numbers is 44, the largest number is
Andy has 20 pairs of matched gloves. If he loses 12 individual gloves, which of the following is NOT a possible number of matched pairs he has left?
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
When positive integer N is divided by positive integer J, the remainder is 5. If N/J = 105.20, what is value of J?
Two trains 161 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?
Twenty four meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
In how many a committee of 5 members can be selected from 6men 5 ladies consisting of 3 men and 2 ladies
A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?
Salesperson A's compensation for any week is $350 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
You are renting an apartment and you need √900 for each side, how many feet are you looking to measure?
After working for 6 days, Ashok finds that only 1/3 rd of the work has been done. He employs Ravi who is 60% as efficient as Ashok. How many days more would Ravi take to complete the work?
In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of :
Maths, Physics and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. Among all the books, 12 books are soft cover and...
Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 8 inches tall. How tall are the sculpture andbase together?
What is the compound interest paid on a sum of Rs.1500 for the period of 2 years at 10% per annum.
A invested Rs 76000 in a business. After few months, B joined him with Rs 57000. The total profit was divided between them in the ratio 2 : 1 at the end of the year. After how many months did B join?
The average height of 35 boys in a class was calculated as 184cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).?
The distance between 2 cities A and B is 1000km. A train starts from A at 1 p.m. and travels towards B at 100 km/hr. Another starts from B at 2 p.m. and travels towards A at 150 km/hr. At what time do they meet?
in a tennis match the probability for A to win the match is 2/3 and he has to win 3 sets to win the match so what is the probability for A to win the match
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
For all integers a and b, a%b = (a + b)(a - b). If 7%x = 13, then which of the following could be a value of x?
A firm is comprised of partners and associates in a ratio of 2:61. If 75 more associates were hired, the ratio of partners to associates would be 4:137. How many partners are currently in the firm?
The distance that light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 10000 years is:
John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
On a game show, a contestant is given three keys, each of which opens exactly one of three identical boxes. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. The first box contains $1.5, the second $150, and the third $1500. W...
The three competitors in a race have to be randomly chosen from a group of three men and three women. How many different such trios contain at least one woman?
For a race a distance of 224 meters can be covered by P in 28 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
If B and C are digits and 8BC is a 3-digit number that is divisible by 7, which of the following is a possible product of B and C?
Ratio of two numbers x and y is 3:7. If x is increased by 50% and y is increased by 2 then the new ratio becomes 1:2. What is the ratio 2y:(2x+6)
The difference between a two-digit number and the number after interchanging the position of the two digits is 27. What is the difference between the two digits of the number?
The cost price of a radio is Rs.1500 and it was sold for Rs.1230, find the loss %?
The speed of a train is 90 kmph. What is the distance covered by it in 10 minutes?
When positive integer m is divided by positive integer n, the remainder is 12. If m/n = 24.2, what is the value of n ?
Q is an much younger than R as he is older than T. If the sum of the ages of R and T is 50 years,what is definitely the difference between R and Q's age ?
There are 15 members in a family. it takes 180 days for a women to complete the work, however man completes in 120 days. They take 17days to complete the work if men work on alternate days and women work every third day. if all of them started together on the 1st day, then how many men are there in the family
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
A person purchased a TV set for Rs. 1600 and a DVD player for Rs. 625. He sold both the items together for Rs. 31150. What percentage of profit did he make?
A 340-liter solution of Kola is made from 75% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 12 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
There are three vessels of equal capacity .Vessel A contains Milk and water in the ratio 4:3 ;Vessel B contains Milk and water in the ratio 2:1 and Vessel C contains Milk and water in the ratio 3:2 .If the mixture in all the three vessels is mixed up.What will be the ratio of milk and water ?
The Avg age of a class of 22 subject areas in 21 years. The avg increased by one when the lecturer’s age also involved. What is the age of the Lecturer?
If log 27 = 1.437, then the value of log 9 is:
Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?
A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
A envelop weight 8.5 gm,if 850 of these envelop are sent with an advertisement mail. How much wieght?
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?
Tanya prepared 5 different letters to 5 different addresses. For each letter, she prepared one envelope with its correct address. If the 5 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
A tank is filled in 10 hours by three pipes A, B and C. Pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the fi...
Bill likes long bike rides. On one ride, he goes biking for seven hours. For the first hour, he bikes at a speed of 16 miles per hour. For the next two hours, he bikes at a speed of 12 miles per hour. He remembers biking 112 miles over the seven hours. Compute the average speed, in miles per hour, Bill biked during the...
An urn contains 5 red, 6 blue and 8 green balls. 4 balls are randomly selected from the urn, find the probability that the drawn ball are 1 blue and 3 red?
45% of 750 - 25% of 480 = ?
If a number between 0 and 1 is selected at random, which of the following will the number most likely be between?
Sam bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
A man sells a car to his friend at 11% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :
Louie takes out a three-month loan of $3000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louie have to pay each month?
If rupee one produces rupees nine over a period of 30 years, find the rate of simple interest?
A bag contains 6 white marbles and 6 black marbles. If each of 6 girls and 6 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
Bag A contains red, white and blue marbles such that the red to white marble ratio is 1:3 and the white to blue marble ratio is 2:3. Bag B contains red and white marbles in the ratio of 1:4. Together, the two bags contain 18 white marbles. How many red marbles could be in bag A?
A lemonade stand sold only small and large cups of lemonade on Tuesday. 3/5 of the cups sold were small and the rest were large. If the large cups were sold for 7/2 as much as the small cups, what fraction of Tuesday's total revenue was from the sale of large cups?
Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 66 kg. What might be the weight of the new person?
A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
In a card game, a combination of two kings beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination?
Three numbers are in the ratio 1 : 3 : 6 and their average is 100. The largest number is :
Sheela deposits Rs. 4500 in bank savings account. If this is 28% of her monthly income. What is her monthly income in?
A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?
What is the average of 1/2, 1/5 and 3/10?
One hour after Yolanda started walking from X to Y, a distance of 40 miles, Bob started walking along the same road from Y to X. If Yolandaâs walking rate was 2 miles per hour and Bobâs was 4 miles per hour, how many miles had Bob walked when they met?
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
The average of first 10 even numbers is?
Mary can do a piece of work in 26 days. Rosy is 30% more efficient than Mary. The number of days taken by Rosy to do the same piece of work is?
A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
Evaluate: 98612 / 22*11*70 = ?
Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?
In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:
If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 m3. The emptying capacity of the pump is 10m3 per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.
There are 624 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school?
Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of t feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?
The average of seven numbers is 4. The average of first three numbers is 2 and the average of last three numbers is 6. What is the middle number?
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
A researcher computed the mean, the median, and the standard deviation E for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked 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 trader wants 10% profit on the selling price of a product whereas his expenses amount to 15% on sales. What should his rate of mark up be on an article of Rs. 9?
The milk level in a rectangular box measuring 56 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
If the true discount on a sum due 2 years hence at 14% per annum be Rs.168,the sum due is :
The average of numbers 0.64205, 0.64203, 0.64202 and 0.64201 is ?
A group of 630 children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What number of rows is not possible?
A is half good a work man as B and together they finish a job in 12 days. In how many days working alone B finish the job?
On a ranch, a rancher can place a loop of rope, called a lasso, once in every 3 throws around a cow’s neck. What is the probability that the rancher will be able to place a lasso around a cow’s neck at least once in 4 attempts?
A and B can do a piece of work in 2 days and 6 days respectively. Both work for 1 days and then A goes away. Find how long will B take to complete the remaining work?
Integers 3n+2 and 8n+7 are divisible by an integer p. If p is not equal to 1, then p equals to?
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 100 units raises the average to 55 units per day, what is the value of n?
Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is k...
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 10% p.a. was Rs.420. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned.