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A jogger running at 9 km/hr along side a railway track is 150 m ahead of the engine of a 100 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
A pipe can fill a cistern in 7 minutes whereas the cistern when fill can be emptied by a leak in 14 minutes. When both pipes are opened, find when the cistern will be full?
Due to an increase in 30% in the price of eggs, 3 eggs less are available for Rs. 7.80. Find the present rate of eggs per dozen.
If the average (arithmetic mean) of three consecutive integers is 21, then the product of the greatest and least integer is
In expressing a length 81.469 km as nearly as possible with three significant digits, find the percentage error?
In how many ways can the letters of the word BUTTER be arranged in a row so that the vowels appear in alphabetic order?
If there are 4 seats and two students, in how many ways can they be seated?
The greatest number that divides 3560 and 3450 leaving remainder 4 and 6 respectively is:
If '+' denotes ÷ , '–' denotes ×, ‘×’ denotes – and ‘÷’ denotes +, then 35 + 7 – 5 ¸5 × 6 = ?
A train 410 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
The average age of 9 men increases by 4 years when two women are included in place of two men of ages 36 and 32 years. Find the average age of the women?
Excluding stoppages, the speed of a bus is 52 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A garrison of 1850 men has provisions for 28 days. At the end of 12 days, a reinforcement arrives, and it is now found that the provisions will last only for 10 days more. What is the reinforcement?
The Hat Company makes hats of different colors, some plain and some with printing. For a particular order of hats, 2 out of every 3 hats are blue. If 1 out of every 3 blue hats has printing, and there are 200 blue hats with printing in the shipment, how many hats total are there in the shipment?
Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 30km/hr, then find the area of square field.
A cistern 6m long and 5 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
A rectangular cube has a volume of 7 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is? Choices
If d=1/(2^3*5^9) is expressed as a terminating decimal, how many nonzero digits will d have?
If the side of a square is increased by 55%, its area is increased by?
The average of 5 consecutive integers starting with m as the first integer is n. What is the average of 15 consecutive integers that start with (m + 2)?
A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,055. How much did she invest at 5%?
What is the perimeter of a square field whose diagonal is 8âˆš2?
The product of the squares of two positive integers is 1600. How many pairs of positive integers satisfy this condition?
The sum of first five prime numbers is:
Find the fourth proportional to 5.1, 3.6 and 2.3?
In a workshop there are 4 kinds of beds, 3 kinds of closets, 3 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one shelf, one bed and one of the following: a chair or a closet?
((1^7m)/(5^7m))((1^18)/(4^18)) = 1/(2(10)^35) What is m?
If b < 2 and 4x - 8b = 0, which of the following must be true?
David is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 3 miles per hour and returns along the same route at an average speed of 8 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain?
A boat goes 100 km downstream in 10 hours, and 90 km upstream in 15 hours. The speed of the stream is?
Rovert traveled a distance of 30 km, covering the first 10 km in x minutes, the next 10 km in y minutes and the last 10 km in z minutes. If he totally took 3y minutes to cover the whole distance, then which of the following cannot be true? Assume x , y and z are different.
(1/2) of a number is 3 more than the (1/6) of the same number?
One side of a rectangle is 3 cm shorter than the other side. If we increase the length of each side by 1 cm, then the area of the rectangle will increase by 20 cm2. Find the lengths of all sides.
What will be the remainder when 17^200 is divided by 18 ?
Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 108 grams of water?
In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?
If 1.5 cm of a pencil is purple, 0.5 cm of the remaining is black and the remaining 2 cm is blue, what is the total length of the pencil?
Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
A certain sum becomes four times itself at simple interest in eight years. In how many years does it become ten times itself?
The sume of the ages of 5 children born at the intervals of 3 years each is 50 years.What is the age of the youngest child ?
A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 400 feet. What is its area, in square feet?
A man cycles at a rate of 4 kmph. He cycles for 45 minutes and then takes a 15 minute break. Determine the total time taken to cover 12 kms by him.
An article is sold at certain price. By selling it at 2/3 of its price one losses 10%, find the gain at original price?
Eight machines, each working at the same constant rate, together can complete a certain job in 20 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 16 days?
A local bank that has 11 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 required for the 11 codes?
The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $400, by what percent is the price to be reduced?
On the first of the year, James invested x dollars at Proudstar bank in an account that yields 4% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
If the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is?
The marks obtained by Vijay and Amith are in the ratio 8:5 and those obtained by Amith and Abhishek in the ratio of 3:2. The marks obtained by Vijay and Abhishek are in the ratio of?
Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 60 percent carbonated water, what percent of the volume of the mixture is P?
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
The average age of twenty four boys in a class and the teacher is 15. If the teacher age is excluded, the average reduces to 14. What is the techer's age?
Three candidates contested in an election and received 4136, 7636, 11628 votes respectively. What is the percentage of the total votes did the winning candidate get?
A student has 7 trousers and 11 shirts. In how many different ways can the student select a trouser and a shirt?
If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z).
Ross has 320 shirts, 3/4 of the shirts are green and 1/10 is without buttons. Therefore Ross has between ___ and ___ shirts with buttons that are not green.
If 1^3 + 2^3 + 3^3 +......+ 10^3 = 516 then the value of 2^3 + 4^3 + 6^3 + ..... + 20^3 is
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of; 6 – 9 + 8 × 3 ÷ 20 =
Two pillars are standing side-by-side. One pillar, which is 6 feets tall, casts a shadow that is 12 feets long. The other pillar is 4 feets tall. Compute, in feets, the length of the shadow that the shorter pillar casts.
The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
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?
A family made a down payment of $20 and borrowed the balance on a set of encyclopedias that cost $500. The balance with interest was paid in 24 monthly payments of $25 each. The amount of interest paid was what percent of the amount borrowed?
20 throws of a die produces following results SCORE -- NUMBER OF OCCURRENCES ---1-------------------4 ---2-------------------3 ---3-------------------5 ---4-------------------2 ---5-------------------2 ---6-------------------4 What is the probability K that one more throw to this series will increase the mean score?
Define e* by the equation e* = π-e. Then ((−π)) =
A group of 13 people plan to rent a van and agree to share equally the total cost of the rental, which is E dollars. If n of the people decide not to participate at the last minute, by how many dollars will each remaining person's share of the total cost increase?
Which of the following fractions can be written as the difference of reciprocals of two consecutive integers
A gardener grows cabbages in her garden that is in the shape of a square. Each cabbage takes 1 square feet of area in her garden. This year, she has increased her output by 197 cabbages as compared to last year. The shape of the area used for growing the cabbages has remained a square in both these years. How many cabbages did she produce this year?
A man has Rs. 440 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 ?
Seven people went to a restaurant for dinner. Six of them spent $9 each on their meals and the seventh person spent $12 more than the average expenditure of all seven people. What was the total amount of money that the seven people spent?
A printer numbers the pages of a book starting with 1 and uses 3189 digits in all. How many pages does the book have ?
If x = 1- 5t and y = 2t - 1, then for what value of t does x = y?
In the biology lab of "Jefferson" High School there are 4.32*10^6 germs, equally divided among 10,800 Petri dishes. How many germs live happily in a single dish?
A train 300 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?
A shop produces sarongs. The daily average production is given by 5n + 20, where n is the number of workers aside from the owner. In the first k days, 500 units are produced, and then 5 workers are added to the team. After another k days, the cumulative total is 1100. How many workers were part of the latter production run?
A piece of ribbon 4 yards long is used to make bows requiring 15 inches of ribbon for each. What is the maximum number of bows that can be made?
If BURNER is coded as CASOIS then how will ALIMENT be coded?
The total of a company's assets in 1994 was 50% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of the company's assets in 1992 was N dollars, what were the company's assets in 1994?
If the set S is composed of the following numbers {99, 100, 100, 105, 106, 112, 127}, which of the following is largest?
What is the dividend. divisor 13, the quotient is 17 and the remainder is 1
if the price of a book is first decreased by 15% and then increased by 10%, then the net change in the price will be :
A truck covers a distance of 360 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ?
A car crosses a 600m long bridge in 5 mins. What is the speed of car in km per hr?
A can contains a mixture of liquids A and B is the ratio 7:5. When 12 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
10% of the inhabitants of village having died of cholera.,a panic set in , during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
John found that the average of 15 numbers is 40. If 12 is added to each number then the mean of number is?
Two numbers are respectively 20% and 60% more than a third number. The percentage that is first of the second is?
If a train runs at 40 kmph ,it reach its destination late by 11 minutes but if it runs at 50kmph it is late by 5 minutes only . the correct time for a train to complete its journey is? let the correct time to complete the journey be x min distance covered in(x+11)min. at 40 kmph distance covered in(x+5)min. at 50 kmph (x+11)/6040=(x+5)/6050 x=19min
The traffic lights at 3 different roads change after every 14 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously.
How many positive 5-digit integers have the odd sum Q of their digits?
How many inches are in 2000 millimeters? (round your answer to the nearest hundredth of of an inch).
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 4?
A bag contains 3 white balls, 3 black balls & 2 red balls. One by one three balls are drawn out without replacement. What is the probability that the third ball is red?
If x is an integer such that 0 < x < 12, 1 < x < 15, 10 > x > 5, 11 > x > 8, and x + 2 < 12, then x is
At an elementary school, 60% of the faculty members are women and 60% of the faculty members are married. If 3/4 of the men are single, what fraction of the men are married?
If the Average of 10 consecutive integers is 24.5 then the 10th integer is :-
In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 37. In the company, what is the maximum number of non-managers in a department that has 9 managers?
A certain list of 300 test scores has an arithmetic mean of 74 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 302 test scores with a standard deviation less than d?
A cube has a volume of 125 cubic feet. If a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
If m is a positive integer greater than 1, what is the sum of the multiples of m from m to m^2, inclusive?

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