Question

What will be the positions of the hour and the minute hands when the time is $34$ minutes after $10?$

• A. The hour hand lies between $10$ and $11$; the minute hand lies at $4^{th}$ division after $6$.
• B. The hour hand lies between $6$ and $7$; the minute hand lies at $4^{th}$ division after $11$.
• C. The hour hand lies between $10$ and $11$; the minute hand lies at $4^{th}$ division after $7$.
• D. The hour hand lies between $6$ and $7$; the minute hand lies at $4^{th}$ division after $10$.

Answer 1

The correct option is A The hour hand lies between $10$ and $11$; the minute hand lies at $4^{th}$ division after $6$.

Let us represent the time on an analog clock.

• The hour hand of the clock takes $1$ hour to move between two consecutive numbers.
• Given, the number of hours $=10$
• So, the hour hand lies between $10$ and $11$.
• The number of minutes $=34$
• We know that the minute hand takes $5$ minutes to move between two consecutive numbers, and the space between two consecutive numbers has $5$ divisions. Each division gives us $1$ minute.
• To find the position of the minute hand, we divide the number of minutes by $5$.
  $34÷5=6$, Remainder $=4$
• So, the minute hand will be at $4th$ division after $6$.

Hence, the correct answer is option B.