Select the Venn diagram that best represents the relationship between the following classes. Women, Married women, Lady doctor.
If sin θ − cosec θ = \(\sqrt{2}\), then the value of \( \sin ^{3}\theta - \operatorname{cosec} ^{3}\theta \) is:
The sum of two numbers is 40. Their HCF and LCM are 2 and 102, respectively. The sum of the reciprocals of the same two numbers is:
\( \frac{5}{17} \)
\( \frac{10}{51} \)
\( \frac{7}{19} \)
\( \frac{8}{19} \)