SSC CHSL 2027 Clock Questions: Angle Calculation Tricks & Practice Set

Clock questions are an important part of logical reasoning preparation for competitive examinations. These questions test your ability to calculate angles between the hour hand and minute hand at different times.

For SSC CHSL 2027, understanding the movement of both clock hands and learning the angle formula can help you solve these questions quickly. This guide covers basic concepts, shortcuts, solved examples and practice MCQs.

1. Basic Concepts of Clock Angles

A clock has two main hands:

• Hour Hand: Completes one full rotation of 360° in 12 hours.
• Minute Hand: Completes one full rotation of 360° in 60 minutes.

Important movement values:

2. Clock Angle Formula

Use this formula to calculate the smaller angle between the hour and minute hands:

Angle = |30H − 5.5M|

Where:

• H = Hour
• M = Minutes
• | | = Absolute value, meaning the answer is taken as positive.

If the calculated angle is greater than 180°, subtract it from 360° to obtain the smaller angle.

3. Step-by-Step Solved Examples

Example 1: Find the angle between the clock hands at 3:00.

Solution: |30 × 3 − 5.5 × 0| = 90°

Answer: 90°

Example 2: Find the angle at 4:30.

Solution: |30 × 4 − 5.5 × 30|

= |120 − 165| = 45°

Answer: 45°

Example 3: Find the smaller angle at 5:20.

Solution: |30 × 5 − 5.5 × 20|

= |150 − 110| = 40°

Answer: 40°

4. Important Clock Angle Facts and Tricks

• At 3:00, the angle between the hands is 90°.
• At 6:00, the angle between the hands is 180°.
• At 9:00, the angle between the hands is 90°.
• At 12:00, both hands overlap and the angle is 0°.
• The minute hand moves faster than the hour hand.
• Always calculate the movement of both hands, not just the minute hand.
• For the smaller angle, use the angle formula and check whether the result exceeds 180°.

5. SSC CHSL 2027 Clock Angle Practice Questions

Choose the correct option for each question.

Q1. What is the angle between the clock hands at 2:00?

A. 30°
B. 45°
C. 60°
D. 90°

Q2. Find the smaller angle between the hands at 4:30.

A. 30°
B. 45°
C. 60°
D. 75°

Q3. What is the angle between the hands at 6:00?

A. 90°
B. 120°
C. 150°
D. 180°

Q4. Find the smaller angle at 5:20.

A. 30°
B. 40°
C. 50°
D. 60°

Q5. What is the angle between the hands at 3:30?

A. 60°
B. 75°
C. 90°
D. 105°

Q6. Find the smaller angle at 7:15.

A. 45°
B. 52.5°
C. 60°
D. 67.5°

Q7. What is the smaller angle between the hands at 8:20?

A. 110°
B. 120°
C. 130°
D. 140°

Q8. How many degrees does the minute hand move in 10 minutes?

A. 30°
B. 45°
C. 60°
D. 90°

Q9. How many degrees does the hour hand move in 2 hours?

A. 30°
B. 45°
C. 60°
D. 90°

Q10. Find the smaller angle between the hands at 9:40.

A. 40°
B. 45°
C. 50°
D. 60°

Answer Key with Explanations

6. Preparation Tips for SSC CHSL 2027

• Memorise the movement of both clock hands.
• Practise the angle formula with different time values.
• Learn the common angles at full hours.
• Pay attention to the hour hand's movement between two hour marks.
• Practise calculations involving minutes such as 20, 30 and 45.
• Solve timed reasoning questions to improve speed and accuracy.

Prepare for SSC CHSL 2027 with Katara Academy

Clock angle questions become easier when you understand the movement of both hands and apply the correct formula. Practise different time-based problems regularly to strengthen your reasoning preparation.

Explore reasoning preparation courses at Katara Academy.

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