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An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 20-meter platform and caught it after it had traveled 59.4 meters. How many times did the ball bounce?
Jonathan’s grandparents lend $20,000 to Jonathan at a simple annual interest rate of 10%. He pays them back 5 years later. How much do they receive?
Find the ratio of the curved surfaces of two cylinders of same heights if their radii are in the ratio 1:2?
Look at this series: 42, 36, 39, __, 42, 45, 42, 48, ... What number should fill the blank?
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
A pharmaceutical company received $5 million in royalties on the first $25 million in sales of generic equivalent of one of its products and then $10 million in royalties on the next $100 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $25 million in sales to the next $100 million in sales?
A certain rectangular crate measures 20 feet by 20 feet by 20 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
The sector of a circle has radius of 21 cm and central angle 45o. Find its perimeter?
Fidget Spinners are sold in packages of four or seven only at the corner shop. If Borris bought 98 Fidget Spinners exactly, what could be the number of larger packs Borris bought?
If the annual rate of simple interest increases from 10% to 12 1/2 %, a man's yearly income increases by Rs. 1250. His principal in Rs. is?
How many cuboids of length 5 m, width 3 m and height 2 m can be farmed from a cuboid of 12 m length, 14 m width and 10 m height.
The length of rectangle is thrice its breadth and its perimeter is 104 m, find the area of the rectangle?
Two trains are running in opposite directions with the same speed. If the length of each train is 180 m and they cross each other in 12 sec, then the speed of each train is?
Which of the following numbers has more than two distinct prime factors?
A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 7 brown mice in the experiment, how many mice in total are in the experiment?
If 2x + 3y = 37; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
A train passes a station platform in 36 seconds and a man standing on the platform in 23 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
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. 2 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships; 3 medium ships carry as much water as 2 large ships and 1 small ship. If 15 large, 7 medium and 14 small ships, each made 36 journeys to bring a certain quantity of water , then in how many journeys will 12 large, 14 medium and 21 small ships bring the same quantity of water?
A mixed doubles tennis game is to be played between two teams. There are four married couples. No team is to consist of a husband and his wife. What is the maximum number of games that can be played.
A triangle has a perimeter 14. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
If a mixture is 1⁄2 alcohol by volume and 3⁄2 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
David has d books, which is 3 times as many as Jeff and 3/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
What comes next in the series? 16 72 38 94 50 __
Johnny bought six peanut butter cans at an average price (arithmetic mean) of 38.0¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31¢, then what is the average price, in cents, of the two returned peanut butter cans?
A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. the distance between his house and school is :
An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 1 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 5 stocks are possible?
The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
A certain bacteria colony doubles in size every day for 22 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
A and B go around a circular track of length 1200 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
David mixed 10 kg of ghee at Rs. 200 per kg with 30 kg ghee at the rate of Rs. 100 per kg. At what price per kg should he sell the mixture to make a profit of 10% in the transaction?
How many three digits number greater than 600 can be formed using the digits 4,5,6,7,8?
A solution of X pounds of water and sugar is boiled until 20% of the water content evaporates. Originally y% of sugar was present in the solution. After evaporation, what percentage of the solution is sugar?
Average weight of 10 people increased by 2 kg when one person of 45 kg is replaced by a new man. Then weight of the new man is
If the third day of the month is Monday, Which of the following will be the fifth day from 21st of that month?
The compound ratio of 5:6, 3:2 and 4:5?
$700 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
If x = 7p and y = 5p + 1, then for what value of p, x is equal to y ?
A part of certain sum of money is invested at 9% per annum and the rest at 21% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
There are 27 different three-digit integers that can be formed using only the digits 3, 4 and 5. If all 27 of the integers were listed, what would their sum be?
Rs. 800 becomes Rs. 956 in 3 years at a rate of S.I. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years?
If the cost price of 60 boxes is equal to the selling price of 50 boxes, the gain percent is
Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 75th number in this set?
A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together?
A, B, C, D and E are ve consecutive odd numbers The sum of A and C is 146. What is the value of E?
Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R?
In a question on division with zero remainder, a candidate took 12 as divisor instead of 36. The quotient obtained by him was 30. The correct quotient is?
A seller of used cars has 12 cars to sell and each of his clients selected 4 cars that he liked most. If each car was selected exactly thrice, how many clients visited the garage?
Find the least number must be subtracted from 724946 so that remaining no.is divisible by 10?
How many 4's are there preceded by 7 but not followed by 3? 5 9 3 2 1 7 4 2 6 9 7 4 6 1 3 2 8 7 4 1 3 8 3 2 5 6 7 4 3 9 5 8 2 0 1 8 7 4 6 3
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
A drawer contains socks. When two socks are drawn at random, the probability that both are red is 5/14. Which of the following can be the number of socks in the drawer?
A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
How many four-digit integers exist such that all their digits are even?
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, the how old is B?
If Re.5 amounts to Rs.20 over a period of 3 years. What is the rate of simple interest?
A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?
A machine puts c caps on bottles in n minutes. How many hours will it take to put caps on b bottles?
The cost price of 13 articles is equal to the selling price of 11 articles. Find the profit percent?
A certain artist is selling five paintings for the following prices: $7,000, $8,000, $9,000, $23,000, and $25,000. If the price of the most expensive painting is increased $3,000, which of the following statements best describes the change in the mean and the median of the paintings?
A bike covers a certain distance at the speed of 77km/h in 7 hrs. If the bike was to cover the same distance in approximately 11 hrs, at what approximate speed should the bike travel?
Triangle STV has sides ST = TV = 26, and SV = 20. What is the area?
10 friends are living in 10 different flats of an apartment. Each of them was allotted a parking spot to park their cars in the ground floor. But they used to park their cars randomly in any of the 10 parking spots. In how many ways can they park their cars so that exactly 8 people park their cars in the spots allotted to them?
Three partners A,B,C invested 360000rs.,378000rs. and 414000rs.in a business.at the end of one year,there is profit of 64000rs.then calculate the profit share of C.
In three years, Janice will be three times as old as her daughter. Six years ago, her age was her daughter’s age squared. How old is Janice?
Michele invests 200 of her money in a mutual fund that quickly goes sour, losing 25% of its value each day for a week. Which of the following COULD BE be the value of Michele’s investment at the close-of-business any day that week?
10 different letters of English alphabet are given. A word is formed using 5 letters ( with replacement ) out of these. Find the probability that at least one letter is repeated in the word.
A train passes a man standing on a platform in 8 seconds and also crosses the platform which is 279 metres long in 20 seconds. The length of the train (in metres) is:
x3−ax2+3x−b=0x3−ax2+3x−b=0 has one factor as (x - 2). When the equation is divided by (x + 1), it leaves a remainder -12. What are the values of ‘a’ and ‘b’?
present ages of sam and john are in the ratio of 4:3 respectively. three years hence, the ratio of their ages will become 11:9 respectively . what john's present age in years
Machine A can do a certain job in 8 hours. Machine B can do the same job in 10 hours. Machine C can do the same job in 12 hours. All three machines start the job at 9:00 a.m. Machine A breaks down at 11:00 a.m., and the other two machines finish the job. Approximately what time E will the job be finished?
If a tire rotates at 400 revolutions per minute when the car is traveling 24km/h, what is the circumference of the tire?
25.25/2000 is equal to:
John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 :1/3:1/5 . What is the minimum no. of pencils that the person should have?
The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
Linda spent 5/6 of her savings on furniture and the rest on a TV. If the TV cost her $500, what were her original savings?
A and B together can complete a piece of work in 10days. If A alone can complete the same work in 15days, in how many days, in how many days can B alone complete that work?
If the simple interest on a sum of money for 2 years at 5% per annum is $50, what is the compound interest on the same at the same rate and for the same time?
If ratio of profit of A and B is 4:5 and they together invested Rs.90,000 then money invested by B is
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 2 years and that for 8 years?
(0.03)*(0.04)/(0.05)*(0.11)=?
Before a salary increase, the weekly salary of a worker for 26 hours in a week was as much as the worker is paid now for 20 hours of work in a week. What is the percent increase in the worker's salary per hour?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
When average age of 24 members are 0, how many members greater than 0?
A car runs at the speed of 25 km per hour when not serviced and runs at 75 kmph when serviced. After servicing the car covers a certain distance in 5 hours. How much time will the car take to cover the same distance when not serviced?
Billy's farm is in the shape of a rectangle. It's width is 45 yards less than its length. The area of the farm is 11,704 square yards. What is the perimeter of the farm?
In how many different ways can 10 people be seated in a room with 12 chairs?
The interest on a certain deposit at 4.5% p.a. is Rs. 405 in one year. How much will the additional interest in one year be on the same deposit at 5% p.a. ?
In a certain lottery drawing, two balls are selected at random from a container with 300 balls, numbered from 1 to 300, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
What will be remainder when (67^67 + 67) is divided by 68 ?
A boat having a length 8 m and breadth 3 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
If ‘+’ means ‘×’, ‘-‘ means ‘+’, ‘×’ means ‘÷’ and ‘÷’ means ‘-‘ then find the value of; 7 – 9 + 8 × 3 ÷ 20 =
If a man walks to his office at ¾ of his usual rate, he reaches office 1/3 of an hour late than usual. What is his usual time to reach office?
Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 20% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate?
A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ?
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 5:6:2. If there are in all Rs.36, the number of 25 paisa coins is?
Bob bikes to school every day at a steady rate of c miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from the school to Bob's home?
A and B can do a piece of work in 6 2/3 days and 5 days respectively. They work together for 2 days and then A leaves. In how many days after that B will complete the work alone?