About this quiz
Angle formula, coinciding and opposite hands, right angles, mirror images and fast clocks.
This Lok Sewa practice set has 20 multiple-choice questions (Subject: Reasoning (IQ) · For: Kharidar, Nayab Subba, Section Officer · Level: Medium). Take the quiz above first; after that, use the study list below to revise every question with its correct answer and a short explanation.
Study list: all 20 questions with answers and explanations
What is the angle between the hands of a clock at 3:00?
- A) 90° ✔
- B) 60°
- C) 120°
- D) 180°
Why: At 3:00 the hands are 3 hours apart: 3 × 30° = 90°.
What is the angle between the hands at 3:30?
- A) 75° ✔
- B) 90°
- C) 60°
- D) 105°
Why: Angle = |30H − 5.5M| = |90 − 165| = 75°.
What is the angle between the hands at 2:20?
- A) 50° ✔
- B) 40°
- C) 60°
- D) 70°
Why: Angle = |30 × 2 − 5.5 × 20| = |60 − 110| = 50°.
What is the angle between the hands at 4:20?
- A) 10° ✔
- B) 0°
- C) 20°
- D) 30°
Why: Angle = |30 × 4 − 5.5 × 20| = |120 − 110| = 10°.
What is the angle between the hands at 9:45?
- A) 22.5° ✔
- B) 30°
- C) 15°
- D) 45°
Why: Angle = |30 × 9 − 5.5 × 45| = |270 − 247.5| = 22.5°.
What is the angle between the hands at 7:30?
- A) 45° ✔
- B) 30°
- C) 60°
- D) 0°
Why: Angle = |30 × 7 − 5.5 × 30| = |210 − 165| = 45°.
What is the angle between the hands at 12:30?
- A) 165° ✔
- B) 180°
- C) 150°
- D) 195°
Why: Angle = |0 − 5.5 × 30| = 165°.
What is the angle between the hands at 5:15?
- A) 67.5° ✔
- B) 75°
- C) 60°
- D) 82.5°
Why: Angle = |30 × 5 − 5.5 × 15| = |150 − 82.5| = 67.5°.
How many degrees does the minute hand move in one minute?
- A) 6° ✔
- B) 0.5°
- C) 5.5°
- D) 30°
Why: The minute hand moves 360° in 60 minutes: 6° per minute.
How many degrees does the hour hand move in one minute?
- A) 0.5° ✔
- B) 1°
- C) 6°
- D) 30°
Why: The hour hand moves 30° in 60 minutes: 0.5° per minute.
The minute hand gains on the hour hand at the rate of:
- A) 5.5° per minute ✔
- B) 6° per minute
- C) 0.5° per minute
- D) 30° per minute
Why: The minute hand gains 6° − 0.5° = 5.5° per minute on the hour hand.
How many times do the hands of a clock coincide in a day (24 hours)?
- A) 22 ✔
- B) 24
- C) 11
- D) 44
Why: The hands coincide 11 times in 12 hours, so 22 times in a day.
How many times are the hands at a right angle in a day?
- A) 44 ✔
- B) 48
- C) 22
- D) 24
Why: The hands are at right angles 22 times in 12 hours, so 44 times a day.
How many times are the hands exactly opposite (180°) in a day?
- A) 22 ✔
- B) 24
- C) 11
- D) 44
Why: The hands are opposite 11 times in 12 hours, so 22 times a day.
At what time between 3 and 4 o'clock are the hands together?
- A) 16 4/11 minutes past 3 ✔
- B) 15 minutes past 3
- C) 16 minutes past 3
- D) 17 3/11 minutes past 3
Why: At 3:00 the gap is 90°. Time to close it = 90 ÷ 5.5 = 16 4/11 minutes past 3.
At what time between 4 and 5 o'clock are the hands opposite each other?
- A) 54 6/11 minutes past 4 ✔
- B) 50 minutes past 4
- C) 55 minutes past 4
- D) 52 8/11 minutes past 4
Why: At 4:00 the gap is 120°. To be 180° apart the minute hand gains 300°: 300 ÷ 5.5 = 54 6/11 minutes past 4.
A clock shows 3:40. What time does its mirror image show?
- A) 8:20 ✔
- B) 9:20
- C) 8:40
- D) 9:40
Why: Mirror time = 11:60 − 3:40 = 8:20.
A clock shows 10:25. What time does its mirror image show?
- A) 1:35 ✔
- B) 2:35
- C) 1:25
- D) 2:25
Why: Mirror time = 11:60 − 10:25 = 1:35.
What is the angle between two consecutive numbers on a clock face?
- A) 30° ✔
- B) 6°
- C) 36°
- D) 60°
Why: The 12 numbers divide 360°, so consecutive numbers are 30° apart.
The hands of a faulty clock coincide every 64 minutes. How much does it gain in a day?
- A) 32 8/11 minutes ✔
- B) 16/11 minutes
- C) 30 minutes
- D) 24 minutes
Why: Gain 16/11 min per 64 min; × (1440 ÷ 64) = 360/11 = 32 8/11 min.