Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
What will be the angle between the hands of clock at 7:10 ?
155°
170°
185°
165°
None of the above
155°
Use the formula Angle = |30H - 5.5M| where H is the hour and M is the minutes, as this covers all clock angle scenarios instantly.
Use the formula Angle = |30H - 5.5M| where H is the hour and M is the minutes, as this covers all clock angle scenarios instantly.
Identify Given Values
Here, H = 7 (hours) and M = 10 (minutes). The hour hand moves 30 degrees per hour, and the minute hand moves 6 degrees per minute.
Apply the Angle Formula
The formula for the angle between hands is |30H - 5.5M|. Substituting the values: |30 * 7 - 5.5 * 10| = |210 - 55| = 155 degrees.
B: 170 is incorrect as it results from miscalculating the hour hand position. C: 185 is mathematically incorrect. D: 165 is incorrect as it fails to account for the minute hand's influence on the hour hand position.
A is correct because applying the formula |30H - 5.5M| yields |307 - 5.510| = |210 - 55| = 155 degrees.
Always remember the minute hand travels 0.5 degrees per minute relative to the hour hand; using the constant 5.5 avoids complex relative motion calculations.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants