Of two numbers, 4 times the smaller one is less then 3 times the larger one by 5. If the sum of the numbers is larger than 6 times their difference by 6, find the two numbers.
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A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
If one of the roots of the quadratic equation x^2 + mx + 22 = 0 is 1.5, then what is the value of m?
A house sold for $500,000 in 1990 and sold ten years later for $400,000. By what percent did the value of the house change?
A salesman enters the quantity sold and the price into the computer. Both the numbers are two-digit numbers. But, by mistake, both the numbers were entered with their digits interchanged. The total sales value remained the same, i.e. Rs. 1,148, but the inventory reduced by 54.
What is the actual price per piece?
An exam is given in a certain class. The average (arithmetic mean) of the highest score and the lowest score is equal to x. If the average score for the entire class is equal to y and there are z students in the class, where z > 5, then in terms of x, y, and z, what is the average score for the class excluding the highest and lowest scorers?
Consider there is an staircase elevator and you are coming down. If you walk 20 steps and stop, then you reach bottom in 10 minutes. If you walk 10 steps and stop, you reach to the ground in 20 minutes. What is the speed of the elevator?
A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
X and Y are two alloys which were made by mixing zinc and copper in the ratio 6:9 and 7:11, respectively. If 40 grams of alloy X and 60 grams of alloy Y are melted and mixed to form alloy Z, what is the ratio of zinc and copper in the alloy Z ?
An organization decided to raise Rs. 6 lakh by collecting equal contribution from each of its employees. If each of them had contributed Rs. 60 extra, the contribution would have been Rs. 6.24 lakh. How many employees are there in that organization?
A man spends Rs. 3500 per month and saves 12 1/2% of his income. His monthly income is ?
Rick can recite the entirety of Macbeth in 183 minutes. His grandson Morty has agreed to listen to Slippy recite Macbeth but doesn't really want to and so is planning to sneak away after 10 minutes and then come back five minutes before the end, as he knows Rick will be too self-absorbed to realise his absence. During this time he is planning to use an intergalactic portal to instantly teleport to an arcade, Blips and Chitz, and play his favorite virtual reality game, Life of Roy. If every round of Life of Roy takes 19 minutes, how many complete rounds can Morty play and still get back to Rick's recital in time?
The number of water lilies on a certain lake doubles every two days. If there is exactly one water lily on the lake, it takes 60 days for the lake to be fully covered with water lilies. In how many days will the lake be fully covered with lilies, if initially there were 64 water lilies on it?
Boomtown urban planners expect the city’s population to increase by 10% per year over the next two years. If that projection were to come true, the population two years from now would be exactly double the population of one year ago. Which of the following is closest to the percent population increase in Boomtown over the last year?
A certain liquid passes through a drain at a rate of w/25 gallons every x seconds. At that rate, how many minutes will it take y gallons to pass through the drain?
John and Mike had equal amount of money in savings at the beginning of last year. Then, Mike’s savings increased by 20% by the end of last year and decreased by 20% this year. John’s savings at first decreased by 20% by the end of last year and then increased by 20% this year. What percentage of John’s and Mike’s savings combined are John’s savings alone?
Anna has 4 books. If she decide to arrange the 4 books in every possible combination and moved just one book every minute, how long would it taken by her ?
Calculate the percentage gain of a merchant who purchased 90 kg of oranges for Rs. 450 and sold the whole lot at the rate of Rs. 7.50 per kg.
Of a certain high school graduating class, 25 percent of the students continued their formal education, and 50 percent of those who continued their formal education went to four-year colleges. If 100 students in the class went to four-year colleges, how many students were in the graduating class?
The population of a city is 5265526. If there are 4169516 adults in the city, how many children are there in the city?
A bakery has 4 varieties of pastries. Each variety is having many number of pastry. I want to purchase of 10 pastries such that I get to taste each variety. How many ways to purchase?
In a city, 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, the percentage of the population that travels by either car or bus is...
The population of a city increases at the rate of 4% per annum. There is an additional annual increase of 1% in the population due to the influx of job seekers. Therefore, the % increase in the population after 2 years will be :
A bee bypasses 0.05% of flowers it flies by because it can sense they don't have any nectar in them. How many flowers will the bee fly by to bypass 8 flowers?
IF one gallon of soft drink is made of 40% orange juice and 60% water, how many additional gallons of orange juice must be mixed in order to make the orange juice 60% of the soft drink?