HTET Exam - Level 1 Prt - Algebra

In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression…

If $\frac{2}{3}$ part of any number is 4 greater than$\frac{3}{5}$ part of this number. Find this number

If a = 2, b = 3, c = 4 then find the value of a$^3$+b$^3$ + c$^2$ - 3 abc

If $x + \frac{1}{x} = 6, then find x^2 + \frac{1}{x^2}$ :

Divide $44(x^4 - 5x^3 - 24x^2) $ by $ 11x(x-8)$:

If $x + \frac{1}{x}$ = 4 , then the value of $ x^{4} + \frac{1}{x^{4}}$ is:

If a * b = a² + b² - ab, then the value of 8 * 7 - 3 * 5 is:

If 4m² - 8m + 9n + 10mn = (am + bn) (am + bn - 4), then the value of a³ + b³ is…

If $a - \frac{1}{a} = \sqrt{21}$, where a > 0, then the value of $\left( a^2 + \frac{1}{a^2} \right) \left( a + \frac{1}{a} \right)$ is…

$\frac{0.41 \times 0.41 \times 0.41 + 0.69 \times 0.69 \times 0.69}{0.41 \times 0.41 - 0.41 \times 0.69 + 0.69 \times 0.69}$ is equal to :