An accurate clock shows **8 o'clock in the morning**. Through how many degrees will the hour hand rotate when the clock shows **2 o'clock in the afternoon**?

**Options:**
A. 150°
B. 168°
C. 144°
D. 180°

**Correct Answer:** D. 180°

**Title:** Hour Hand Rotation

**Difficulty:** Easy

**Section:** Quantitative Aptitude

**Category:** Clocks

**Topic:** Angle Calculation in Clocks

**Tags:** Clock problems, Angle calculation, Time and rotation, Hour hand movement

**Solution Language:**

The time interval between **8:00 AM and 2:00 PM** is **6 hours**.

The hour hand of a clock completes a full rotation (360°) in **12 hours**, meaning it moves **30° per hour** (calculated as $$ \frac{360}{12} = 30° $$).

For a time difference of **6 hours**, the total rotation of the hour hand is:
$$
ext{Rotation} = 6 imes 30° = 180°
$$

Thus, the hour hand rotates through **180°** between **8:00 AM and 2:00 PM**.

Therefore, the correct answer is **180°**.

Citations:
[1] https://pplx-res.cloudinary.com/image/upload/v1743687320/user_uploads/wNcHViUbmMaAbKp/Screenshot-2025-04-03-at-7.05.11-PM.jpg
[2] https://www.doubtnut.com/qna/647947309
[3] https://examrobot.com/content/through-how-many-degrees-does-hour-hand-clock-move-time-changes-3-hours-and-12-minutes-6
[4] https://www.splashlearn.com/math-vocabulary/clock-angle-formula
[5] https://www.doubtnut.com/qna/446647349
[6] https://testbook.com/question-answer/an-accurate-clock-shows-8-oclock-in-the-morni--6059ce9713d4697c2404fead
[7] https://stackoverflow.com/questions/44701592/what-is-the-hour-hand-rotation-angle-per-second-on-a-wall-clock
[8] https://testbook.com/question-answer/an-accurate-clock-shows-8-oclock-in-the-mor--5f11c68048641710e72a8ada
[9] https://homework.study.com/explanation/the-hour-hand-of-a-clock-moves-from-12-to-6-o-clock-through-how-many-degrees-does-it-move.html
[10] https://testbook.com/question-answer/what-is-the-angle-between-the-hour-hand-and-the-mi--60420949abc47b72e8b5f91d
[11] https://edurev.in/question/1662047/An-accurate-clock-shows-8-o-39clock-in-the-morning
[12] https://www.omnicalculator.com/math/clock-angle
[13] https://en.wikipedia.org/wiki/Clock_angle_problem
[14] https://byjus.com/question-answer/an-accurate-clock-shows-8-o-clock-in-the-morning-through-how-many-degrees-will-4/
[15] https://askfilo.com/user-question-answers-smart-solutions/the-angle-by-which-the-hour-hand-of-a-clock-turns-through-3237363736323932
[16] https://www.hitbullseye.com/Clock-Math-Problems.php
[17] https://byjus.com/question-answer/find-the-angle-through-which-an-hour-hand-of-a-clock-turns-in-one-minute/
[18] https://makeschool.org/mediabook/oa/tracks/intro-to-cs/create-a-clock-app/degrees-rotation-math
[19] https://testbook.com/question-answer/what-is-the-angle-between-the-hour-hand-and-the-mi--618e78c8741fe3652ecd2318
[20] https://www.doubtnut.com/qna/4823761
[21] https://askfilo.com/user-question-answers-smart-solutions/where-will-the-hour-hand-of-a-clock-stop-if-its-starts-from-3137323133393337

---
Answer from Perplexity: pplx.ai/share

Question

An accurate clock shows **8 o'clock in the morning**. Through how many degrees will the hour hand rotate when the clock shows **2 o'clock in the afternoon**?

**Options:**
A. 150°  
B. 168°  
C. 144°  
D. 180°

**Correct Answer:** D. 180°

**Title:** Hour Hand Rotation

**Difficulty:** Easy

**Section:** Quantitative Aptitude

**Category:** Clocks

**Topic:** Angle Calculation in Clocks

**Tags:** Clock problems, Angle calculation, Time and rotation, Hour hand movement

**Solution Language:**

The time interval between **8:00 AM and 2:00 PM** is **6 hours**.

The hour hand of a clock completes a full rotation (360°) in **12 hours**, meaning it moves **30° per hour** (calculated as $$ \frac{360}{12} = 30° $$).

For a time difference of **6 hours**, the total rotation of the hour hand is:
$$
	ext{Rotation} = 6 	imes 30° = 180°
$$

Thus, the hour hand rotates through **180°** between **8:00 AM and 2:00 PM**.

Therefore, the correct answer is **180°**.

Citations:
[1] https://pplx-res.cloudinary.com/image/upload/v1743687320/user_uploads/wNcHViUbmMaAbKp/Screenshot-2025-04-03-at-7.05.11-PM.jpg
[2] https://www.doubtnut.com/qna/647947309
[3] https://examrobot.com/content/through-how-many-degrees-does-hour-hand-clock-move-time-changes-3-hours-and-12-minutes-6
[4] https://www.splashlearn.com/math-vocabulary/clock-angle-formula
[5] https://www.doubtnut.com/qna/446647349
[6] https://testbook.com/question-answer/an-accurate-clock-shows-8-oclock-in-the-morni--6059ce9713d4697c2404fead
[7] https://stackoverflow.com/questions/44701592/what-is-the-hour-hand-rotation-angle-per-second-on-a-wall-clock
[8] https://testbook.com/question-answer/an-accurate-clock-shows-8-oclock-in-the-mor--5f11c68048641710e72a8ada
[9] https://homework.study.com/explanation/the-hour-hand-of-a-clock-moves-from-12-to-6-o-clock-through-how-many-degrees-does-it-move.html
[10] https://testbook.com/question-answer/what-is-the-angle-between-the-hour-hand-and-the-mi--60420949abc47b72e8b5f91d
[11] https://edurev.in/question/1662047/An-accurate-clock-shows-8-o-39clock-in-the-morning
[12] https://www.omnicalculator.com/math/clock-angle
[13] https://en.wikipedia.org/wiki/Clock_angle_problem
[14] https://byjus.com/question-answer/an-accurate-clock-shows-8-o-clock-in-the-morning-through-how-many-degrees-will-4/
[15] https://askfilo.com/user-question-answers-smart-solutions/the-angle-by-which-the-hour-hand-of-a-clock-turns-through-3237363736323932
[16] https://www.hitbullseye.com/Clock-Math-Problems.php
[17] https://byjus.com/question-answer/find-the-angle-through-which-an-hour-hand-of-a-clock-turns-in-one-minute/
[18] https://makeschool.org/mediabook/oa/tracks/intro-to-cs/create-a-clock-app/degrees-rotation-math
[19] https://testbook.com/question-answer/what-is-the-angle-between-the-hour-hand-and-the-mi--618e78c8741fe3652ecd2318
[20] https://www.doubtnut.com/qna/4823761
[21] https://askfilo.com/user-question-answers-smart-solutions/where-will-the-hour-hand-of-a-clock-stop-if-its-starts-from-3137323133393337

---
Answer from Perplexity: pplx.ai/share

Accepted Answer

The time interval between **8:00 AM and 2:00 PM** is **6 hours**.

The hour hand of a clock completes a full rotation (360°) in **12 hours**, meaning it moves **30° per hour** (calculated as $$ \frac{360}{12} = 30° $$).

For a time difference of **6 hours**, the total rotation of the hour hand is:
$$
	ext{Rotation} = 6 	imes 30° = 180°
$$

Thus, the hour hand rotates through **180°** between **8:00 AM and 2:00 PM**.

Therefore, the correct answer is **180°**.

Answer

Answer

Answer