Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-2

PQ is a diameter and PQRS is a cyclic quadrilateral, if \[\angle PSR=150{}^\circ ,\]then measure of \[\angle RPQ\] is

A) \[90{}^\circ \]

B) \[60{}^\circ \]

C) \[30{}^\circ \]

D) None of these

Correct Answer: B

Solution :

[b] In \[\Delta PRQ,\]

\[\angle PRQ=90{}^\circ \][angle in semi -circle]

and \[\angle RQP=30{}^\circ \][opposite angle]

In \[\Delta PRQ,\]

\[\angle PRQ+\angle RPQ+\angle RQP=180{}^\circ \]

\[\angle RPQ=180{}^\circ -120{}^\circ =60{}^\circ \]