Swapna, Janhvi and Rishi shared a cake among themselves. \( \frac{5}{36} \) of it came in the share of Sapna, \( \frac{3}{4} \) in the share of Rishi and the rest came in the share of Janhvi. How much of the cake did Janhvi get?
\( \frac{4}{5} \)
\( \frac{2}{9} \)
\( \frac{1}{9} \)
\( \frac{1}{12} \)
Read the given statements and conclusions carefully and choose which of the conclusions logically follows from the statement.
Statement: Mr. Vineet is one of the shortlisted candidates for the post of Dean of the prestigious Deemed University X.
Conclusion:
I. Mr. Vineet will be selected as the Dean of the prestigious Deemed University X.
II. Mr. Vineet will not be selected as the Dean of the reputed Deemed University X.
Only I follows
Both Conclusion I and II follows
Either conclusion I or II follows.
Neither conclusion I nor II follows.
The volume of a right circular cone, whose base radius is equal to its height, is three times the volume of the hemisphere. The ratio of the radius of the hemisphere and that of the cone is:
\(\sqrt[3]{3}\): \(\sqrt[3]{2}\)
\(\sqrt{6}\) : 1
1 : \(\sqrt[3]{6}\)
6 ∶ 1