GATE EC 2025 Set 1 — Question 3
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumSeriesQuantitative AptitudeGeneral Aptitude
General Aptitude → Quantitative Aptitude → Series
Last updated
Question
The 12 musical notes are given as C,C#,D,D#,E,F,F#,G,G#, A, A#, and B. Frequency of each note is times the frequency of the previous note. If the frequency of the note C is 130.8 Hz, then the ratio of frequencies of notes F# and C is:
Correct answer
(B) √(2)
Solution
Each note is times the previous one. Counting semitone steps from C:
C → C# → D → D# → E → F → F#, i.e. 6 steps.(The value 130.8 Hz of C is not needed for the ratio.)
C → C# → D → D# → E → F → F#, i.e. 6 steps.(The value 130.8 Hz of C is not needed for the ratio.)
- (A) corresponds to 2 steps (C to D).
- (C) corresponds to 3 steps (C to D#).
- (D) 2 corresponds to 12 steps (one octave).
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 Quantitative 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…