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The Smallest 8 digit number is the successor of?

To find the successor of the Smallest 8 digit number let us find the predecessor of the Smallest 8 digit number. Predecessor of the... View Article

Maithli purchased a walkman from her friend. She then sold it for RS. 90. Had it been sold for RS.105, the gain would have been 1/4 of the former loss. What is the cost of the walkman?

Suppose, the price of Walkman purchased by Maithli = x When loss occurred Loss = x - 90 When profit occurred Profit = 105 - x Now, according... View Article

Write the zeros of polynomial x² – x – 6

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

If one of the zeroes of the quadratic polynomials (k – 1) x² + 1 is 2 , then the value of k is?

Let Quadratic polynomial P(x) = ( k - 1 )x² + kx + 1. → P(x) = ( k -1 )x² + kx + 1 = 0. → p(2) = ( k - 1 )(2)² + k(2) + 1 = 0. => ( k - 1 )... View Article

Solve the quadratic equation 100x² -20x + 1 = 0 by factorization

Given that 100x2 − 20x + 1 = 0. Solution The quadratic polynomial in LHS can be expressed as a perfect square, 100x2 − 20x + 1 The given... View Article

Express 36 as a sum of two odd primes.

Answer: A prime number is a positive integer having exactly two factors. If p is a prime, then its only factors are necessarily 1 and p itself.... View Article

Factorise x³ – 3x² – 9x – 5

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

Fill in the blanks: (a) 1 lakh = ___ ten thousand. (b) 1 million = _ hundred thousand. (c) 1 crore = _ ten lakh. (d) 1 crore = _ million. (e) 1 million = _____ lakh.

a)1 lakh = 1,00,000 Ten thousand= 10,000 1 lakh= 10 ten thousand b)1 million = 1,000,000 1 hundred thousand= 1,00,000 1 million = 10 hundred... View Article

What is terminated line and non-terminated line?

The terminated line is defined as a part of a line with definite endpoints. So it is a part of the line with both ends terminating to fixed,... View Article

Solve for x and y: 6 (ax + by) = 3a + 2b; 6 (bx – ay) = 3b – 2a

Given that 6(ax + by) = 3a + 2b 6ax + 6by = 3a + 2b --------- (1) 6(bx - ay) = 3b - 2a 6bx - 6ay = 3b - 2a ------------- (2) On solving (1) a... View Article

What is the largest power of 20 contained in 100 factorial?

We have to calculate the prime factors of 20 i.e 5 x 2 x 2 The highest prime factor is 5, so the no. of power of 20 will solely depend on power... View Article

What is the solution for 2 (x + 4) = 12?

The given equation is 2 (x + 4) = 12 ⇒ x + 4 = 12/2 ⇒ x ;+ 4 = 6 ⇒ x = 6 − 4 ⇒ x = 2... View Article

A number becomes a perfect square when we subtract 1 from it. Which of the given options CANNOT be the last digit of that number? a) 2 b) 4 c) 5 d) 0

The correct answer is (b) 4 If we check the squares of numbers from 1 to 10, the unit digit of the square numbers will have 0, 1, 4, 5, 6 or 9.... View Article

Express 3825 as a product of its prime factors.

Factorize 3825 as follows: 3825 = 3 × 3 × 5 × 5 × 17 = 32 × 52× 17 Since, 3,5 and 17 are prime numbers as... View Article

Find two consecutive natural numbers whose sum is 63

Let the number be x and x + 1 According to the question x + x + 1 = 6 3 2x = 62 x = 31 x + 1 = 31 + 1 = 32 So the two consecutive natural numbers... View Article

Write the general from of the linear polynomial and cubic polynomial

Polynomial is a mathematical expression consisting of variables and coefficient which are operated by four fundamental signs i.e., (+) (-)... View Article

Find the lcm of 40, 42, 45

Given numbers are 40, 42 and 45 We have to determine the numbers of 40,42 and 45 Solution Prime factorization of 40 =(2 × 2 × 2 × 5) = 23 ×... View Article

A river 2m deep and 45m wide is flowing at the rate of 3km per hour. Find the volume of water that run into the sea per minute.

Given that rate of flow 3 km/h Depth (h) of river = 2 m Width (b) of river = 45 m Area of cross-section of river = 45 × 2 = 90 m2 Rate of... View Article

Solve and check 3x + 2 (x + 2) = 20 – (2x – 5)

Given that 3x+2(x+2)=20-(2x-5) 3x + 2(x) + 2(2) = 20 - 2x -(-5) 3x + 2x + 4 = 20 - 2x + 5 3x + 2x + 2x = 20 - 4 + 5 7x = 21 x = 21/7 x= 3..... View Article

Write 5 application of pythagoras theorem in real life

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two... View Article

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