NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Multiple Choice Questions
Question 5

Question.  5

If a bicycle wheel has 48 spokes, then the angle between a pair of two consecutive spokes is

(A)

5\(\tfrac{1}{2}\)

(B)

7\(\tfrac{1}{2}\)

(C)

\(\tfrac{2}{11}\)

(D)

\(\tfrac{2}{15}\)

Detailed Answer with Explanation:

Step 1: A full turn around the hub is \(360^\circ\).

Step 2: With 48 spokes, there are 48 equal gaps. Angle of one gap = total angle ÷ number of gaps.

\[ \text{Angle per gap} = \dfrac{360^\circ}{48} \]

Step 3: Divide:

\[ \dfrac{360}{48} = 7.5 \]

\[ 7.5^\circ = 7 \tfrac{1}{2}^\circ \]

Conclusion: The angle between two consecutive spokes is \(7 \tfrac{1}{2}^\circ\). So the correct option is B.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 2: Geometry – Multiple Choice Questions | Detailed Answers