GATE EC 2020 Set 1 — Question 7
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67EasyNumerical Relations & ReasoningAnalytical AptitudeGeneral Aptitude
General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
Last updated
Question
It is quarter past three in your watch. The angle between the hour hand and the minute hand is
Correct answer
(B) 7.5^()
Solution
At quarter past three (3:15), the minute hand is exactly at 3 (15 minutes mark).
The hour hand moves in 12 hours, so it moves in 1 hour, or per minute.
At 3:00, the hour hand is at 3. In 15 minutes, it moves past 3.
So, at 3:15, the minute hand is at (from 12 o'clock position).
The hour hand is at (from 12 o'clock position).
The angle between the hour hand and the minute hand is .Alternatively, using the formula for the angle between hands at H hours and M minutes:
Angle
For 3:15, H=3, M=15
Angle .Thus, the angle between the hour hand and the minute hand is .
The hour hand moves in 12 hours, so it moves in 1 hour, or per minute.
At 3:00, the hour hand is at 3. In 15 minutes, it moves past 3.
So, at 3:15, the minute hand is at (from 12 o'clock position).
The hour hand is at (from 12 o'clock position).
The angle between the hour hand and the minute hand is .Alternatively, using the formula for the angle between hands at H hours and M minutes:
Angle
For 3:15, H=3, M=15
Angle .Thus, the angle between the hour hand and the minute hand is .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Analytical Aptitude
2026 Set 1 Q1Among the following options, the antonym of the word ‘nocturnal’ is _________.2026 Set 1 Q2The statements (S1), (S2), and (S3) pertain to the scores obtained by students in an exam. The…2026 Set 1 Q3The figure below has exactly three intersecting line segments with a rectangular portion …2026 Set 1 Q4Real numbers , , and (all greater than 1) satisfy…2026 Set 1 Q5The following observation is made about the scores obtained by 100 students in an exam: 'For each…