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A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is
John went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
An empty tank be filled with an inlet pipe ‘A’ in 42 minutes. After 12 minutes an outlet pipe ‘B’ is opened which can empty the tank in 30 minutes. After 6 minutes another inlet pipe ‘C’ opened into the same tank, which can fill the tank in 35 minutes and the tank is filled. Find the time taken to fill the tank?
If a and b are positive integers and x = 4^a and y = 5^b, which of the following is a possible units digit of xy?
In a sequence of 12 numbers, each term, except for the first one, is 12^12 less than the previous term. If the greatest term in the sequence is 12^13, what is the smallest term in the sequence? Thus, A12 = A1+12-1d Where d is the difference between each pairs of consecutive terms. Since each term is 1211 less than the ...
The probability of Sam passing the exam is 1/3. The probability of Sam passing the exam and Michael passing the driving test is 1/6. What is the probability of Michael passing his driving test?
In the coordinate plane, one of the vertices of a square is the point (-3, -4). If the diagonals of that square intersect at point (4, 2), what is the area of that square?
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
You frequently buy a box of dog toys for your 3 puppies to play with. Typically, the toys last 60 days before the dogs bury them all and you have to buy another box. Recently, you've started your own mini-animal shelter and now have 25 total puppies. You've just purchased a new box of dog toys, how many days until they...
Two employees X and Y are paid a total of Rs. 572 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Of the twelve participants in a certain competition, half are male, and half of the males are younger than 18 years of age. If half of the female competitors are also younger than 18 years of age, into how many distinct groups of 4 competitors could the participants be divided if each group must contain two males under...
34. The side surface of a cylinder is rolled with a rectangular plate. If the height of a cylinder tank is 10 feet and the perimeter of the circular base Is 4 feet, what is the area of the rectangular plate?
The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the difference the sum and the number if the ratio between the digits of the number is 1:2 ?
The difference between the squares of two consecutive odd integers is a square<1000 whose root equals the combined sum of the digits of the two integers. What is the sum of the digits G of the larger integer?
When a certain number X is divided by 63, the remainder is 27. What is the remainder when X is divided by 8?
There is a square with sides of 12. What is the circumference of the biggest circle that can be cut out of this square?
The average age of 36 students in a group is 14 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 1/3 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
The ratio, by volume, of soap to alcohol to water in a certain solution is 2:40:70. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it ...
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 130 sq cm. Find the area of the square?
If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 63. By how much do the two digits differ?
Ken and Shen are workers in a department that has a total of 10 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
If 12 carpenters working 6 hours a day can make 460 chairs in 24 days, the no. of chairs made by 18 carpenters in 36 days each working 8 hours a day will be:
9 - 3 ÷ 1/3 + 2 = ?
A man has Rs. 448 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?
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?
There are 9 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
125 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?
A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find A's share.
P runs 25% faster than Q so P gives Q a ten meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
5.005/4.004 =
A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?
Jim is now twice as old as Fred, who is nine years older than Sam. Four years ago, Jim was four times as old as Sam. How old is Jim now?
If a = 0, b = 0, and (a^2)b = a, then which of the following MUST equal a?
What is the difference between local value & face value of 3 in the numeral 65793?
If x and y are both odd prime numbers andx < y, then how many different positive integer factors does2xyhave?
It takes 50 identical printing machines 8 hours to print 500,000 posters. How long would it take 40 of these machines to print the same total?
The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 735, Krishan has ?
A number consists of two digits. The sum of the digits is 9. If 63 is subtracted from the number, its digits are interchanged. Find the number.
Renuka bought an electric cooker at 90% of the regular price. She paid $360 for the cooker. What was the regular price?
8269Ã—9998=?
The marks obtained by Vijay and Amith are in the ratio 2:5 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?
Insert the missing number. 2, 6, 12, 20, 30, (....)
In a two digit number it is known that its unit's digit exceeds its ten's digit by 4 and that the product of the given number and the sum of its digits is equal to 208, What is the number ?
9x^2+3px+6q divided by 3x+1 leave reminder -3/4 and qx^2+4px+7 is exactly divisible by x+1, then find the values of p and Q
A man gets a simple interest of Rs.200 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?
The length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle?
Rs.240 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins?
A and B complete a work in 3 days. A alone can do it in 9 days. If both together can do the work in how many days?
A primitive village follows a strange custom. They have babies only to have a boy. Whenever a boy is born in a family, they stop having babies and whenever a girl is born, they have a baby again and again till a boy is born. The probability of having a boy is same as the probability of having a girl. What will be the p...
A women walking at 3 Kmph reaches her office 8 minutes late. If she walks at 6 Kmph, she reaches there 8 minutes earlier. How far is the office from her house?
Which of the following is not a prime number ?
Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :
A card game called “high-low” divides a deck of 52 playing cards into 2 types, “high” cards and “low” cards. There are an equal number of “high” cards and “low” cards in the deck and “high” cards are worth 2 points, while “low” cards are worth 1 point. If you draw cards one at a time, how many ways can you draw “high” ...
A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 10% so that the customer could not buy the required amount of the product. The customer managed to buy only 90% of the required amount. What is the difference in the amount of money that the customer paid for the seco...
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres?
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Five years hence, father’s age will be three times the age of his son. Five years ago, father was enven times as old as his son. Find their present ages.
Ms. Morris invested in Fund A and Fund B. The total amount he invested, in both funds combined, was $100,000. In one year, Fund A paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund A. How much did Ms. Morris invest in Fund A?
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
How many four-digit positive integers can be formed by using the digits from 1 to 9 so that two digits are equal to each other and the remaining two are also equal to each other but different from the other two ?
Find the one which does not belong to that group?
The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is
72519 x 9999 = ?
Three business people wish to invest in a new company. Each person is willing to pay one third of the total investment. After careful calculations, they realize that each of them would pay $3,500 less if they could find two more equal investors. How much is the total investment in the new business?
In a school with 600 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years 9 months, then the number of girls in the school is
If the probability that Green Bay wins the Super Bowl is 1/10 and the probability that Milwaukee wins the World Series is 1/15, what is the probability that either Green Bay wins the Super Bowl or Milwaukee wins the World Series (but not both)?
The L.C.M of two numbers is 495 and their H.C.F is 5. If the sum of the numbers is 10, then their difference is:
Richie made a part payment of $325 toward buying a brand new scooter, which represents 8% of the total cost of the scooter, how much remains to be paid?
317 x 317 + 283 x 283=?
Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 5h. What is the respective ratio of distances covered by Car A & Car B?
Q and F represent two distinct digits. If the number 457Q89F is divisible by 36, what is the value of (Q+F)?
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
What is the largest 4 digit number exactly divisible by 72?
If John covers a certain distance in 1 hr. 24 min. by covering two third of the distance at 4 kmph and the rest at 5 kmph, then find the total distance.
In a school with 5 classes, each class has 2 students less than the previous class. How many students are there in the largest class if the total number of students at school is 120?
A man buys a cycle for Rs.1400 and sells it at a loss of 15%. What is the selling price of the cycle?
When 28 is divided by the positive integer e, the remainder is 1. What is the sum of all the possible values of e for which this is true?
Two water pumps, working simultaneously at their respective constant rates, took exactly 8 hours to fill a swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
Select the correct combi nat ion of mathematical signs to replace * signs and to balance the given equation. 8 * 5 * 2 * 72 * 4
The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle?
In what time will a train 100 meters long cross an electric pole, if its speed is 162 km/hr
The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams T?
A sum of Rs. 2900 amounts to Rs. 3422 in 3 years. Had the rate of interest be 3% higher then what would the sum amount in the same time period?
What will be the cost of building a fence around a square plot with area equal to 289 square feet, if the price per foot of building the fence is Rs. 58?
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?
X is the largest prime number less than positive integer N. P is an integer such that P = X – 16. Also, Z = 12…*P√P. If N is the first non-zero perfect square whose tens digit and units digit are same, How many different prime factors does Z have?
If x^2 + y^2 = 15 and xy = 3, then (x − y)^2 =
Magnabulk Corp sells boxes holding n magnets each. The boxes are shipped in crates, each holding b boxes. What is the price charged per magnet, in cents, if Magnabulk charges m dollars for each crate?
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is :
There is a equilateral triangle whose area is A. Another triangle is formed by joining the mid points. This process is continued. Find the sum of these areas.
Some amount is lent at 6% per annum simple interest.After 1 year rupees 6800 is repaid and the rest of the amount is repaid at 5% per annum.If the second year's interest is 11/20 of the first years interest,find what amount of money was lent out.
A cyclist covers a distance of 820 meter in 2 minutes 30 seconds. What is the speed in km/hr of cyclist
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
In what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way?
In a 1000 m race, A beats B by 50 m and B beats C by 50 m. In the same race, by how many meters does A beat C?
If the President and Vice President must sit next to each other in a row with 5 other members of the Board, how many different seating arrangements are possible?

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