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Assertion (A): In problems of clock reasoning, when the minute hand is at 12, the angle between the hands equals 30° multiplied by the hour. Reason (R
Question

Assertion (A): In problems of clock reasoning, when the minute hand is at 12, the angle between the hands equals 30° multiplied by the hour.

Reason (R): Each hour mark on the clock represents 45°.

A.

Both A and R are true, and R is the correct explanation of A

B.

Both A and R are true, but R is not the correct explanation of A

C.

A is true, but R is false

D.

A is false, but R is true

Correct option is C

Solution:
Assertion (A) is TRUE. When the minute hand is at 12, the hour hand is exactly at the hour mark. Angle between hands = hour × 30°, because each hour spacing = 30°.
Example: At 3:00 → angle = 3 × 30° = 90°.
Reason (R) is FALSE. Each hour on a clock represents 30°, not 45°. (360° ÷ 12 = 30° per hour mark)
So, A is true but R is false.
Correct Answer: (c)

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