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Find the square root of 9604 by prime factorization

Answer: Prime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the... View Article

Simple interest on an amount at 4% per annum for 13 months is more than the simple interest on the same sum for 8 months at 6% per annum by rs 40. what is the principal amount

We have to find the principal amount. Interest for 13 months at 4% Interest per year = 4 % interest per month = 4 ÷ 12 = 1/3 % Interest for... View Article

If A and B are complementary angles, then (a) sin A = sin B (b) cos A = cos B (c) tan A = tan B (d) sec A = cosec B

Given that A and B are complementary angles A + B = 90° A + B = 90° A = 90° - B On putting sec on both sides, sec A = sec (90° -... View Article

Find the greatest 4 digit number which is a perfect square

Answer: An integer that can be expressed as the square of another integer is called a perfect square. In other words, it is defined as the... View Article

Find the square root of 9801 by long division method

Find square root of 9801 by long division method Group the digits into pairs For digits to the left of the decimal point, pair them from right to... View Article

24:50::102: __ Find the number.

Answer: Step 1 : add 1 to the number 24. 24 + 1 = 25 step 2 : Then, the above answer which is 25 is multiplied by 2, and we get (25 x 2) = 50... View Article

Find the value of the polynomial 5x – 4x² + 3 at (i) x = 0 (ii) x = -1 (iii) x = 2

Answer: A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest or... View Article

What are the factors of 216 and 215?

Factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, and 216. Factors of 215: 1, 5, 43, and 215. So, the Greatest Common... View Article

Find the prime factorisation of 980.

The prime factors of the number 980 factors = 2 x 2 x 5 x 7 x 7 = 980. It can also be written in exponential from as 22×51×72... View Article

If one of the zeros of the quadratic polynomial (k-1) x2 + kx + 1 is -3, then find the value of k.

A quadratic equation is an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y... View Article

A coin is tossed three times. What is the probability of getting at least one tail?

To find the probability of getting at least one tail in Tossing a coin three time,let the event is A we know that Probability = Favourable... View Article

Two wires of the same material and same length but diameters in the ratio 1: 2 are stretched by the same force. The potential energy per unit volume of the two wires will be in the ratio

it is given that, both wires are made by same material, length of wires are same and also same force applied to the end of wire . hence, strain... View Article

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

Let the larger number is taken as = x Then the square of the smaller number = 8 times the larger number = 8x and the square of the larger number... View Article

Find LCM of the 5, 10, 15, 20.

Answer: The Least Common Multiple(LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a... View Article

Find the mean of the first six multiples of 5.

Here the first six multiples of 5 are 5,10,15,20,25 and 30 We know that n=6 So Mean=(5+10+15+20+25+30)/6 = 105/6 = 17.5... View Article

The length and breadth of a rectangle are directly proportional. If the length increases from 6 cm to 21 cm and breadth now is 14 cm, then what was the breadth before any change in length occurred?

Length and breadth of a rectangle = Directly proportional Length of the rectangle (L1) = 6cm Length of the rectangle (L2) = 21cm Breadth of... View Article