A trapezium based prism with two parallel sides 8 cm and 14 cm respectively and distance between two parallel sides is 8 cm. Find the height of the prism if the volume of the prism is 1056 ?
The base of a right prism is an equilateral triangle. If its height is one-fourth and each side of the base is tripled, then the ratio of the volumes of the old to the new prism is
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A sum of money triples itself in 15 years 6 months. In how many years would it double itself?
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:
A money lender finds that due to a fall in the annual rate of interest from 8% to 73/4%, his yearly income has diminished by Rs 61.50. What is his capital amount?
A train X starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m. while another train Y starts from Ghaziabad at 4 p.m. and reaches Meerut at 5.30 p.m. The two trains will cross each other at:
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
At what price should a shopkeeper mark a radio that costs him Rs. 1200 in order that he may offer a discount of 20% on the marked price and still make a profit of 25%?
Two shopkeepers announce the same price of Rs. 700 for a sewing machine. The first offers successive discounts of 30% and 6% while the second offers successive discounts of 20% and 16%. The shopkeeper that offers better discount, charges ………… less than the other shopkeeper.
In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC?
Which of the following can’t be the ratio of the sides of a triangle.
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
A shopkeeper fixed a price of an article 25% more of its cost price and then allowed 10% discount. The actual profit percent is
After allowing a discount of 16%, there was still a gain of 5%. Then the percentage of marked price over the cost price is
A man invests half of his capital at the rate of 10% per annum, one-third at 9% and the rest at 12% per annum. The average rate of interest per annum, which he gets is :
Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years ?
A contractor undertakes to build a wall in 40 days. He employs 50 people for the same. However, after 20 days he finds that only 40% of the work is completed. How many more man need to be employed to complete the work in time?
Anita and Bindu can finish a work in 10 days while Bindu and Chitra can do it in 18 days. Anita started the work, worked for 5 days, then Bindu worked for 10 days and the remaining work was finished by Chitra in 15 days. In how many days could Chitra alone have finished the whole work?
A man is twice as fast as a woman. Together the man and the woman do the piece of work in 60 days. In how many days each will do the work if engaged alone?
The cost price of 10 articles is equal to the selling price of 9 articles. Find the profit percent.
If a man estimates his loss as 20% of the selling price, then his loss percent is
A dishonest milkman sells milk at cost price but he mixes water and earns 16 % profit. Find the ratio of mixture to milk in the mixture?
What is the LCM of (6x3 + 60x2 + 150x) and (3x4 + 12x3 – 15x2)?
If HCF of (x2 + x – 12) and (2x2 – kx – 9) is (x – k), then value of k is
If (3x3 – 2x2y – 13xy2 + 10y3) is divided by (x – 2y), then what is the remainder?
Two numbers are such that the sum of twice the first number and thrice the second number is 36 and sum of thrice the first number and twice the second number is 39. Which is the smaller number?
If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: