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Doppler effect when both the source and the observer move

This type of question, asked 2 times: 16 May 2023 S2, 26 Apr 2025 S1. All 2 questions below, oldest first.

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  1. Question 1

    16 May 2023 S2

    39
    A source and listener are both moving towards each other with speed V10\frac{V}{10} (where VV is speed of sound). If the frequency of sound note emitted by the source is nn, then the frequency heard by the listener would be nearly

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  2. Question 2

    26 Apr 2025 S1

    35
    A source of sound emits sound wave of frequency 'ff' and moves towards an observer with a velocity V3\frac{V}{3} where VV is the velocity of sound. If the observer moves away from the source with a velocity V5\frac{V}{5} the apparent frequency heard by him will be

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