Clock Reasoning Formula with Examples for SSC and Bank Exams

Clock Reasoning Formula with Examples:

EX.6. At what time between 5.30 and 6 will the hands of a clock be at right angles?

Explanation:

At 5 o'clock, the hands are 25 min. spaces apart.

To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

55 min. spaces are gained in 60 min.

40 min. spaces are gained in

EX.7. At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

Explanation:

When the hands of the clock are in the same straight line but not together, they are 30-minute spaces apart.

At 7 o'clock, they are 25 min. spaces apart.

∴ Minute hand will have to gain only 5 min. spaces.

55 min. spaces are gained in 60 min.

5 min. spaces are gained in  

EX.8. At 3:40, the hour hand and the minute hand of a clock form an angle of:

(A) 125⁰

(B) 120⁰

(C) 135⁰

(D) 130⁰

Explanation:

Angle traced by hour hand in 12 hrs. = 360°.

Angle traced by it in

Angle traced by minute hand in 60 min. = 360°.

Angle traced by it in 40 min. =

∴ Required angle (240 - 110)° = 130°

EX.9. At what angle the hands of a clock are inclined at 15 minutes past 5?

Explanation:

Angle traced by hour hand in

Angle traced by min. hand in 15 min. =

EX.10. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

(A) 10⁰

(B) 0⁰

(C) 20⁰

(D) 5⁰

Explanation:

Angle traced by hour hand in

Angle traced by min. hand in 20 min. =

∴ Required angle = (130 - 120)° = 10°