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A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
10, 25, 45, 54, 60, 75, 80
A number is doubled and 9 is added. If the resultant is trebled, it becomes 57. What is that number?
What is the least common multiple of 6, 18, and 24?
Total number of boys and girls in a school is 150. If the number of boys is x, then girls become x% of the total number of students. The number of boys is
Bill has a small deck of 12 playing cards made up of only 2 suits of 6 cards each. Each of the 6 cards within a suit has a different value from 1 to 6; thus, for each value from 1 to 6, there are two cards in the deck with that value. Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and look...
The average of 6 no.'s is 3.95. The average of 2of them is 4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
Last year, for every 100 million vehicles that traveled on a certain highway, 50 vehicles were involved in accidents. If 5 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? (1 billion = 1,000,000,000)
How many words can be formed by using all letters of the word ‘DAUGHTER’ so that the vowels always come together?
What is the probability of getting a sum 9 from two throws of a dice?
A word is defined as a sequence of three dots arranged in a row. Each dot is colored either red, yellow, or blue. How many distinct words can be formed?
A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 30%?
A train running at the speed of 180 km/hr crosses a pole in 8 seconds. Find the length of the train.
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach a target of 282 runs ?
The speed of a car is 100 km in the first hour and 80 km in the second hour. What is the average speed of the car?
In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
Mohan purchased 10 kgs of rice at the rate of Rs.26 per kg and 10 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
The sum of two numbers is 15 and their geometric mean is 20% lower than their arithmetic mean. Find the numbers?
You leave your house at 7 AM and your drive 60 miles per hour. Your wife was taking her time. So she leaves the house at 9 AM. However, she is now speeding at 90 miles per hour. How long will it take your wife to catch up with you assuming that the police does not stop her?
Last year, sales at Company Zora were 10% greater in February than in January, 10% less in March than in Feb, 30% greater in April than in March, 10% less in May than in April, and 10% greater in June than in May. In which month were sales closest to Jan?
When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.?
Ben lost a 100 m race to Miles by a mere 0.10 m. If Ben gave Miles a 4 m head start at the beginning of the race, how many meters more will it take before Ben overtakes miles?
If a certain sample of data has a mean of 22.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?
There are three prizes to be distributed among six students. If no students gets more than one prize, then this can be done in?
The positive two-digit integers k and m have the same digits, but in reverse order. Which of the following must be a factor of k + m?
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
If ab denotes the greatest common divisor of a and b, then ((1216)(3024)) = ?
If the cost price is 95% of selling price then what is the profit percentage.
The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?
A and B are two circles. The radius of A is thrice as large as the radius of B. What is the ratio between the areas of the circles?
Two goods trains each 680 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?
Look at this series: 5.3, 4.8, 4.3, 3.8, ... What number should come next?
How many positive integers less than 100 are neither multiples of 4 or 5.
A certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. At 6:00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. At 8:00, how many seconds elapse betwee...
A cicketer Has a certain average for 10 innings, In the eleventh inning, he scorod 88 runs, thereby increasing his average by 6 runs. His new average is
252 can be expressed as a product of primes as:
If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability that this product will be a multiple of 45?
How many minutes does it take John to type y words if he types at the rate of t words per minute?
The greatest number of four digits which is divisible by 10, 20, 40 and 60 is:
The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 9 years more than twice the age of the son.Find the present age of the father.
What is the remainder when 43^88 is divided by 5?
In order to obtain an income of Rs. 900 from 20% stock at Rs. 102, one must make an investment of
How much water should be added to 10 liters of a 20%-solution of alcohol to reduce the concentration of alcohol in the solution by 75% ?
Seller selling an apple for Rs.15, a Seller loses 1/6th of what it costs him. The CP of the apple is?
Car Dealership X, the total profit from sales increased by 9 percent over the previous years, while the number of cars sold decreased by 9 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
You are given with two ropes with variable width. However if we start burning both the ropes, they will burn at exactly same time i.e. an hour. The ropes are non-homogeneous in nature. You are asked to measure 45 minutes by using these two ropes. How can you do it? Please note that you can’t break the rope in half as i...
An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors W does the number 4x have?
A trader bought a car at 30% discount on its original price. He sold it at a 50% increase on the price he bought it. What percent of profit did he make on the original price?
Two people measure each other's height, the height of the taller person is H and the height of the other person is L. If the difference in their heights is equal to the average height, what is the Value of H/L? .
If one of the roots of the quadratic equation x2 + mx + 24 = 0 is 1.5, then what is the value of m?
Raviraj invested an amount of 10000000 at compound interest rate of 10 pcpa for a period of three years. How much amount will Raviraj get after three years?
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 6 years the amount to be paid is?
A coin is tossed live times. What is the probability that there is at the least one tail?
The average age of applicants for a new job is 35, with a standard deviation of 30. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum...
Ages of two persons differ by 16 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
D and E are two points respectively on sides AB and AC of triangle ABC such that DE is parallel to BC. If the ratio of area of triangle ADE to that of the trapezium DECB is 25:144 and BC=13 cm, then find the length of DE.
The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 660-mile journey? Assume that the train makes no intermediate stops.
Find the odd man out. 2, 3, 5, 9, 12, 17, 23
In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 30 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expec...
What annual installment will discharge a debt of $100 due in 3 years at 10% simple interest?
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Rs.8000 become Rs.9159.20 in a certain interval of time at the rate of 7% per annum of C.I. Find the time?
A Glee club of 20 members is performing two songs for the school talent show. 50% of its members are part of the first one, and 60% are performing in the second one. How many Glee club members are performing in both songs at the talent show?
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
Two trains 50 m and 120 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 supplier undertakes to supply 2000 pieces of a particular item at Rs. 25 per piece. According to his estimates, even if 5% fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out. 50% of the items were rejected. what is the loss to the supplier?
The average of first 15 even numbers is?
An ant walks an average of 600 meters in 10 minutes. A beetle walks 25% less distance at the same time on the average. Assuming the beetle walks at her regular rate, what is its speed in km/h?
The average weight of 25 persons sitting in a boat had some value. A new person added to them whose weight was 46 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 25 persons?
A sock drawer contains seven socks, each one a different solid color. The colors of the socks are red, orange, yellow, green, blue, indigo, and violet. If a person reaches into the drawer and pulls out 3 socks, how many different color combinations are possible in the selected pair of socks?
If Leon's income is Rs 16000, calculate his savings given that his income and expenditure are in the ratio 8:3.?
Tough and Tricky questions: Exponents. If a and b are positive integers and x = 14^a and y = 9^b, which of the following is a possible units digit of xy?
-20 , -16 , -12 , -8 .... In the sequence above, each term after the first is 7 greater than the preceding term. Which of the following could not be a term in the sequence?
In a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 13 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
In a garden, there are three blue flowers, three red flowers, three green flowers, and three pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?
The cost of an article is decreased by 20%. If the original cost is $120, find the decrease cost.
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 12 years and that of the other 9 students is 16 years. The age of the 15th student is?
2 gears one with 12 teeth and other one with 15 teeth are engaged with each other. One teeth in smaller and one tooth in bigger are marked and initially those 2 marked teeth are in contact with each other. After how many rotations of the smaller gear with the marked teeth in the other gear will again come into contact ...
The radius of a cylinder is 9 m, height 12 m. The volume of the cylinder is:
A baseball team won 40 percent of the first 80 games it played. How many of the remaining 82 games will the team have to win in order to have won exactly 50 percent of all the games it played?
If there are 9 pairs of twins, and a committee will be formed with 3 members. In how many ways this committee formed in a way that no siblings in a group?
One fourth of a solution that was 10% sugar by weight was replaced by a second solution resulting in a solution that was 14 percent sugar by weight. The second solution was what percent sugar by weight?
A number x is multiplied by 7, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x if x≠0 ?
If 4 boys can color 48 m long cloth in 2 days, then 6 boys can color 36 m long cloth in
7, 10, 8, 11, 9, 12, ___
If a sum of money doubles itself in 25 years at simple interest, the ratepercent per annum is
In Hockey game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
A bowl contains equal numbers of red, orange, green, blue, and yellow candies. Kaz eats all of the green candies and half of the orange ones. Next, he eats half of the remaining pieces of each color. Finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors e...
Find the perimetri of trapezium with sides 4,6,12 and distance between two parallel side is 3.
A gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. If there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quarterly
Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
In the coordinate plane, the points F (-1,1), G (1,3), and H (3,1) lie on a circle with center P. What are the coordinates of point P ?
A man rows to a place 48 Km distance and back in 14 hours. He finds that he can row 4 Km with the stream in the same time 3 Km against the stream. The rate off the stream is?
If a(a + 8) = 9 and b(b + 8) = 9, where a ≠ b, then a + b =
A man took a loan from a bank at the rate of 10% p.a. simple interest.After 3 years he had to pay Rs. 5400 interest only for the period.The principal amount borrowed by him was :
The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 170 kmph. Find the speed of the boat in still water and the speed of the stream?
If the average (arithmetic mean) of x + 3, x + 4, and x + 5 is 0, then x =

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