Lengths of the perpendiculars from a point in the interior of an equilateral triangle on its sides are 3 cm, 4 cm and 5 cm. Area of the triangle is

If a triangle with base 8 cm has the same area as a circle with radius 8cm, then the corresponding altitude (in cm) of the triangle is

The radius of the base and height of a right circular cone are in the ratio 5:12, If the volume of the cone is 314cm³, the slant height (in cm) of the cone will be

A solid metallic cone is melted and recast into a solid cylinder of the same base as that of the cone. If the height of the cylinder is 7 cm, the height of the cone was

A single discount equivalent to three successive discounts of 20%, 25% and 10% is

The marked price of an article is 20% more than its cost price. A discount of 20% is given on the marked price. In this kind of sale, the seller bears

The marked price of a radio is R.s 4,800. The shopkeeper allows a discount of 10% and gains 8%. If no discount is allowed, his gain percent will be

If a = 4/5 of B and B = 5/2 of C, then the ratio of A:C is

Which number when added to each of the numbers 6, 7, 15, 17 will make the resulting numbers proportional?

The ratio of the first and second class fares between two railway stations is 4:1 and that of the number of passengers travelling by first and second classes is 1:40. If on a day R.s 1,100 are collected as total fare, the amount collected from the first class passengers is

[1³ + 2³ + 3³ + ..... + 9³ + 10³] is equal to

The sum and product of two numbers are 11 and 18 respectevely. The sum of their reciprocals is

Instead of multiplying a number by 0.72, a student multiplied it by 7.2. If his answer was 2592 more than the correct answer, then the original number was

If 738A6A is divisible by 11, then the value of A is ?

One card is drawn from a pack of 52 cards. The probability that the card drawn is either a ten number or a king?

How many numbers would remain if the numbers which are divisible by 5 and also those having 5 as only one of the digits are dropped from the numbers 35 to 70?

8 men or 10 women can finish a work in 50 days. How many days will 28 men and 15 women take to finish the job ?

A boy divided a number by 2 instead of multiplying by 3. He got the answer 8. Write the correct answer

If 21 cows eat equal to 15 oxen, how many cows will eat equal to 25 oxen?

A and B enter into a partnership with capitals 4:5, and at the end of 8 months, A withdraws. If they receive profits in the ratio 8:15, find how long B's capital was used?

Out of 7000, some amount was lent at 6% per annum and the remaining at 4% per annum. If the total simple interest from both the fractions in 5 years was 1600, find the sum lent at 6% per annum.

A certain sum grows upto 4840 in 2 years and upto 5324 in 3 years on compound interest. Find the rate percent.

A certain number of men complete a piece of work in 60 days. If there were 8 men more, the work could be finished in 10 days less. How many men were originally there?

P, Q and R together do a piece of work for 535. P working alone can do it in 5 days. Q alone can do it in 6 days and R alone can do it in 7 days. Then what will be the share of R for its work.

A cistern has a leak which would empty it in 8 hours.A tap is turned on which admits 6 litres a minute in the cistern, and it is now emptied in 12 hours. How many litres does the cistern hold?

Two trains are moving in the opposite direction on parallel tracks at speeds of 64 km/h and 96 km/h respectively. The first train passes a telegraph post in 5 seconds whereas the second train passes the post in 6 seconds. Find the time taken by the trains to cross each other completely.

A train passes two persons who are walking in the direction opposite which the train is moving, at the rate of 5 m/s and 10 m/s in 6 seconds and 5 seconds respectively. Find the length of the train and speed of the train.

A man purchased an article at 3/4th of the listed price and sold at half more than the listed price. What was his gain percentage?

6 പുരുഷന്മാരും 8 സ്ത്രീകളും ചേർന്ന് 10 ദിവസം കൊണ്ട് ഒരു ജോലി പൂർത്തിയാക്കാൻ കഴിയും. ഒരു സ്ത്രീ ഒരു ദിവസം ചെയ്യുന്ന ജോലി ഒരു പുരുഷൻ ഒരു ദിവസം ചെയ്യുന്നതിൻ്റെ പകുതി ജോലിക്ക് തുല്യമാണ്. 10 സ്ത്രീകൾ ഒറ്റയ്ക്ക് ജോലി ചെയ്യുന്നുണ്ടെങ്കിൽ എത്ര ദിവസം കൊണ്ട് പണി പൂർത്തിയാകും?

Avinash invested an amount of Rs. 25,000 and started a business. Jitendra joined him after one year with an amount of Rs. 30,000. After two years from starting the business they eamed a profit of Rs. 46,000. What will be Jitendra's share in the profit?

55% of a number is more than one-third of that number by 52. What is two-fifth of that number?

A train running at the speed of 72 kmph crosses a 260 metre long platform in 23 seconds. What is the length of the train in metres?

In a class of 52 students the number of boys is two less than the number of girls. Average weight of the boys is 42 kg, while the average weight of all the 52 students is 40 kg. Approximately what is the average weight of the girls?

The present population of a city is 18000. If it increases at the rate of 10% per annum, its population after 2years will be

A man bought an old typewriter for Rs. 1200 and spent Rs. 200 on its repairs. He sold it for Rs. 1680. His profit per cent is

The difference between a two digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

By how much is two fifth of 200 greater than three-fifth of 125?

The area of a rectangular field is 460 square metres. If the length is 15% more than the breadth, what is the breadth of rectangular field?

Deepa bought a calculator with 30% discount on the listed price. Had she not got the discount, she would have paid Rs. 82.50 extra. At what price did she buy the calculator?

A motor car starts with the speed of 70 kmph with its increasing every 2 hours by 10 kmph. In how many hours will it cover 345 km?

A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?

The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?

20 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?

Two pipes are connected to a water tank. The first pipe can fill the tank in 10 minutes and the second pipe can empty it in 15 minutes. If both pipes opened simultaneously, then find the time in which the tank will be completely filled with water.

A train covers a distance of 193 1/3km in 4 1/4hours with one stoppage of 10 minutes, two of 5 minutes and one of 3 minutes one the way. Find the average speed of the train.

Tax on a commodity is decreased by 10% and thereby its consumption increases by 8%. Find the increase or decrease percent in the revenue obtained from the commodity.

Average weight of 8 students is increased by 1 kg. When a student whoes weight 60 kg is replaced by a new student, find the weight of the new student.

Selling price of 9 articles is equal to the cost price of 15 articles. Find the gain or loss percent in the transaction.

A fort is provisioned for 32 days for some soldiers. After 4 days, a reinforcement of 150 soldiers arrived and the food will now last for 21 days only. How many soldiers were there in the fort in the beginning?

What should be subtracted from 32575 to make it exactly divisible by 9?