Math - NCERT Solutions - GeniusJnr

The number 75600 can be factorised as $a^1\times b^2\times c^3\times d^4$. What is the value of (a + c)?

Solve the following quadratic equations by factorization:

$a\left(x^2+1\right)-x\left(a^2+1\right)=0$

Solve the following quadratic equations by factorization:

$\frac{a}{x-a}+\frac{b}{x-b}=\frac{2c}{x-c}$

$\frac{\tan \theta }{\sec \theta -1}+\frac{\tan \theta }{\sec \theta +1}$ is equal to

(a) 2 tan θ
(b) 2 sec θ
(c) 2 cosec θ
(d) 2 tan θ sec θ

The steps for finding the H.C.F. of 2940 and 12348 by Euclid’s division lemma are as follows.

12348 = a × 4 + b

a = b × 5 + 0

What are the respective values of a and b?

The HCF and LCM of two positive numbers are 26 and 910 respectively. If one of the numbers is 130, then what is the other number?

If the number 7875 can be prime factorized as 7875 = 3^a × b³ × c¹, then what are the respective values of a, b, and c?

Which of the following rational numbers have terminating decimal expansion?

Use the following information to answer the next question.

The given steps represent the procedure for finding the H.C.F. of the numbers, 360 and 252, by using Euclid’s division algorithm. 360 = 252 × 1 + a 252 = a × 2 + b a= b × 3 + 0

What are the respective values of a and b?

Use the following information to answer the next question.

A decimal number is of the form 3b.0276, where b represents a digit. The decimal is then written in the form of the simplest fraction. The prime factorisation of the denominator of the fraction is 22 × 54 × 7x, where x is a non-negative integer.

What is the value of x?

For any natural numbers n and m, which of the following numbers is always divisible by 15?

Which of the following statements is incorrect for a number of the form , where p and q are co-prime integers and p, q ≠ 0?