Question

At what time between 5 and 6 o’clock are the hands of a clock 3 minutes apart? (IBPS PO)

• A. $34\frac{5}{11}minutes$
• B. $30\frac{6}{11}minutes$
• C. $24minutes$
• D. $33\frac{5}{11}minutes$
• E. $Cannotnotbedetermined$

Answer 1

The correct option is B $30\frac{6}{11}minutes$

$\Theta =30H-\frac{11}{2}M={18}^{0}OR\frac{11}{2}M-30H={18}^0$
${180}^0=150-\frac{11}{2}\times MOR\frac{11}{2}M-150={18}^0$
$So,M=24ORM=\frac{336}{11}=30\frac{6}{11}$