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Two circles touch externally. The sum of their areas is 130π sq.cm and the distance between their centres is 14 cm. Find the radii of the circles.

We can take r1 and r2 be the Radii of the two circles having centres A & B. Given that the sum of areas of two circles= 130π cm²... View Article

Find the cube root of 13824 by the prime factorization method

After resolving the prime factors, we get 13824 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 Grouping = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x... View Article

How many multiples of 4 lie between 10 and 205?

We have to find the multiples of 4 lie between 10 and 205 are, 12, 16, 20,......204 Which is an A.P. having the first term, a = 12, Also, the... View Article

What is the additive inverse of 2/8?

Answer: An additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value... View Article

If 3/5 of a number exceeds its 2/7 by 44, find the number.

Let the number is x. Then by the given question, x × 3/5 = x × 2/7 + 44 or, 3x/5 - 2x/7 = 44 or, (21 x - 10x )/35 = 44 or, 11 x = 44 × 35... View Article

In a scheme, a pack of three soaps with MRP Rs.45 is available for Rs.42. If it still gives a profit of 5% to the shopkeeper, then the cost price of the pack is?

Applying the equation, Selling price – Cost price = Profit Selling price = Rupees 42.00 Cost price = x Profit = (5/100) x Therefore, 42... View Article

Martha was supposed to multiply the number of cans sold with the price of one can to ascertain the amount. Instead of taking 41 as the number of cans, she wrote 14 by mistake. As a result, the product went down by 135. What is the other multiplier?

As per the question given Martha was supposed to multiply the number of cans sold with the price of one can to ascertain the amount earned by... View Article

A baby crawls 8 feet towards the west and then 8 feet towards the north. It then moves 14 feet towards the east. How far and in which direction is the baby from the starting point?

A baby crawls 8 feet towards and turns towards north. Finally, he turns 14 feet towards east From the triangle, Pythagoras theorem 82 + 62 = x2... View Article

Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?

It is given that walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance have to be... View Article

Find the irrational number between 2 and 2.5

Answer: An irrational number is a real number that can not be expressed as an integer ratio, such as √2, is an example of an irrational number.... View Article

1 metric ton is equal to a) 100 quintals b) 10 quintals c) 1/10 quintals d) 1/100 quintals

Metric ton is a unit of weight and is equal to 1000 kg. This unoit is used for geavy objects Quintal is also a unit of weight and is equal to... View Article

If the HCF of 657 and 963 is expressible in the form 657x + 963x – 15 find x.

Using Euclid’s Division Lemma a= bq+r / Dividend= Divisor * Quotient + Remainder = 963 = 657×1+306 = 657 = 306 × 2 + 45 = 306 =... View Article

Define constant polynomial and give its degree

A polynomial that, when evaluated over each in the domain of definition , results in the same value is known as constant polynomial. The degree... View Article

Two adjacent sides of a parallelogram are 24 cm and 18 cm if the distance between the longer side is 12cm, find the distance between the shorter side.

Two adjacent sides of the parallelogram are AB = 24 cm and BC = 18 cm and the distance between the longer side, DE = 12 cm. The distance between... View Article

Write a pair of integers whose sum is zero

The sum of two integers is zero, one integer is the additive inverse of other integer, like – 3, 3; – 4, 4 etc. The difference... View Article

A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. Find the speed of the train.

Distance travelled by the train = 480 km Let the speed of the train be x kmph Time taken for the journey = 480/x Given speed is decreased by... View Article

Two wires A and B are of the same material. Their lengths are in the ratio 1:2 and diameters are in ratio 2:1. When stretched by force F^A and F^B respectively, they get an equal increase in lengths. Find the ratio of F^A / F^B.

Material is same hence Y is same. Y is young's modulus Increment in length ℓ is same. (L1 / L2) = (1/2) (R1 / R2) = (2/1) ∵ Y = (FL / Aℓ) i.e.... View Article