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Define the term resistivity.

The resistivity of a substance is the resistance of a wire of that substance of unit length and unit area of cross-section. Resistivity is the... View Article

Using euclid’s division Lemma find the HCF of 441 567 693

.According to Euclid’s Division Lemma if we have two positive integers a and b, then there exist unique integers q and r which satisfies the... View Article

Solve the given equation. 2x + 7/5 – 3x + 11/2 = 2x + 8/3 – 5

Given Now by taking L.C.M on LHS for 2 and 5 is 10 Also taking LCM on RHS for 3 and 1 = 3 By cross multiplication =3(4x + 14 - 15x -... View Article

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

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