Quantitative Aptitude
If sec θ - 2 cos θ = \( \frac{7}{2} \), where θ is a positive acute angle, then the value of sec θ is:
The sum of two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?
\( \frac{1}{7} \)
\( \frac{1}{11} \)
\( \frac{1}{6} \)
\( \frac{1}{9} \)
Rohan scored twice as many marks in English as he did in Science. His total marks in English, Science and Mathematics are 126. If the ratio of his marks in English and Mathematics is 2:3 , his marks in English are:
The diagonal of the square is 8\(\sqrt{2}\) cm. Find the diagonal of another square whose area is triple that of the first square.
8\(\sqrt{5}\)cm
8\(\sqrt{3}\) cm
8\(\sqrt{2}\) cm
8\(\sqrt{6}\) cm
If \( x + \frac{1}{x} = 2, \) then the value of \( x^{57} + \frac{1}{x^{57}} \) is:
Find the value of tan 3θ if sec 3θ = cosec (4θ - 15°).
If mxm + nxn = 0, then what is the value of \(
\frac{1}{x^{m}+x^{n}}+\frac{1}{x^{m}-x^{n}}
\) terms of xn is:
Where x, m, n are > 0
2mn/(xⁿ(n² + m²))
2mn/(xⁿ(m² - n²))
2mn/(xⁿ(m² + n²))
2mn/(xⁿ(n² - m²))