A rope 20 meters long is cut into two pieces. If the length of one piece of rope is 3 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope?
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Tires of a certain brand, when purchased new, last for four years. A customer can choose to purchase the new tires at a cost of $180 per tire or can have his current tires repaired at a cost of $40 per tire, a repair that will make the current tires last for one additional year. The average cost per year of the new tires is what percent greater than the cost of repairing the current tires?
Proportion of Yuvaraj’s age to Ganguly’s age is 4:3. Yuvaraj will be 26 years old after 6 years. What is the age of Ganguly now?
A trader bought some books for Rs 8 each. The wholesaler gave 15% discount on each of the books. If the discount amount deducted on the bill was Rs 216, how many books did he buy?
A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 minutes for the angle of elevation to change from 45° to 60°. After how much more time will this car reach the base of the tower?
A certain straight corridor has four doors, A, B, C and D (in that order) leading off from the same side. How far apart are doors B and C? The distance between doors B and D is 10 meters. The distance between A and C is 12 meters.
An oculist charges $30.00 for an eye examination, frames, and glass lenses, but $48.00 for an eye examination, frames, and plastic lenses. If the plastic lenses cost four times as much as the glass lenses, how much do the glass lenses cost?
Points A, B, C, D lie in this order on the circumference of a circle. Minor arc AC is 160°, and minor arc BD is 150°. If B bisects minor arc AC, then what is the measure of minor arc AD?
John spent 72% of his budget on fruits ( including apples) , and 36% of his budget on apples. What percent of the money spent on Fruits were not spent on apples.
The bus fare of one adult is Rs. 140 from Ranchi to Patna and bus fare of a child is half the fare of one adult between the same places. What is the total bus fare of 4 adults and 3 children between same places?
Assistants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hr. The kitchen is available for 3 hours and 20 large cakes & 700 small cakes are needed. How many helpers are required?
If a quarter kilogram costs Rs.60 then how much will cost for 150 grams?
The sum of the digits of a three digit number is 17, and the sum of the squares of its digits is 109. If we subtract 495 from the number, we shall get a number consisting of the same digits written in the reverse order. Find the number.
Fernando Alonso and Sebastian Vettel go for a car race. Before the start of race, both of them have the exactly same amount of fuel in their respective cars. With the given fuel Fernando can drive continuously for 4 hours while Vettel can drive 1 hour more.
After some time they realize that amount of fuel left in Sebastian car is 4 times the fuel in Fernando car.
For long have they been racing ?
Suppose you want to arrange your English, Hindi, Mathematics, History, Geography and Science books on a shelf. In how many ways can you do it ?
A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger ?
30 is subtracted from a number, it is reduced to its one third. What is the value of 50% of that number?
Mr.Sam takes 17 hours to go by train to a certain city and return by car. He loses 4 hours if he goes both ways by train. How long would he have taken if he had traveled by car in both ways?
It takes 4 men 6 hours to repair a road. How long will it take 8 men to do the job if they work at the same rate?
In a mixture, the ratio of spirit and water is 3:2. If the amount of spirit is 3 litre more than amount of water, calculate the amount of spirit in mixture?
A flagstaff 17.5 metre high casts a shadow of length 40.25 metre. The height of building, which casts a shadow of length 28.75 metre under similar conditions will be :
All 250 files on Sam's hard drive are infected by either a virus or a worm or both. The number of files that are infected only by a worm is 2.5 times the number of files that are infected by both a virus and a worm. If 50% of the files were not infected by a virus, how many of Sam's files were NOT infected by a worm?
When Mary paints a house, it takes her 4 hours. When Lisa joins Mary, and they work together, it takes them only 3 hours to paint a house of the same size. How long would it take for Lisa to paint a house of the same size by herself?
The ratio of the volumes of a cube to that of the sphere which will fit inside the cube is?
Anil invests an amount for 2 years at the rate of 15% per annum at simple interest.Had he invested in a scheme in which interest was compounded yearly he would have got Rs.450 more. Find the principal