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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

What is the formula of volume of a hollow sphere?

To determine the volume of a sphere, we use the formula 4/3πr3 To find the volume of a hollow sphere, we must subtract the volume of the... View Article

What is a periodic matrix?

A square matrix such that the matrix power for a positive integer is called a periodic matrix . If is the least such integer, then the matrix is... View Article

Solve 8x + 5y = 9, 3x + 2y = 4 by any method

Answer: An algebraic expression in mathematics is an expression that is made up of variables and constants, along with algebraic operations like... View Article

120, 80, 40, 45,?, 5. Find the missing number.

Given: 120 , 80 , 40 , 45 , ? , 5 This series is the combination of two different series .e.g., 120, 80 , 40 and 45, ? , 5 Here in 120, 80, 40... View Article

Find the square root of 15625 by division method

We have to find the square root of 15625 by division method First of all group the digits into pairs For digits to the left of the decimal point,... View Article

Which is the smallest odd composite number? How many even prime numbers are there?

A composite number is a number with at least 3 factors. From number 1 we can check whether the number is composite or not. 1- Neither prime nor... View Article

Rajesh commutes daily by travelling 4/5 of the distance between his home and office by metro train, 3/20 by auto and remaining 1 km on foot. What is the distance between his home and office?

Let x be distance between Rajesh's home and office. Distance travelled by Rajesh is given as - x = 4x/5 + 3x/20 + 1 x - 4x/5 - 3x/20 = 1 x/20 = 1... View Article

The perimeter of a right triangle is 60cm and its hypotenuse is 25cm. Find the area of the triangle

Let ABC be a right-angled triangle. Since , the perimeter of a right triangle = 60 cm AB + BC + CA = 60 cm AB + BC + 25 = 60 cm AB + BC = 60 -... View Article

What is the formula for C.S.A of a cuboid?

The Curved surface area of cuboid is the sum of the areas of its six faces. The surface area is the total area of all the faces of a 3D shape.... View Article