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Error in the sum or difference of two measured quantities

This type of question, asked 4 times: 19 Apr 2025 S2, 18 Apr 2026 S1, 15 May 2026 S1, 19 May 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    19 Apr 2025 S2

    7
    The initial and final temperatures of water as recorded by an observer are (38.6±0.2)∘C(38.6 \pm 0.2)^{\circ}C and (82.3±0.3)∘C(82.3 \pm 0.3)^{\circ}C. The rise in temperature with proper error limits is

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  2. Question 2

    18 Apr 2026 S1

    102
    If two resistors of resistances have values R1=(350±3) ΩR_1 = (350 \pm 3)\,\Omega and R2=(140±4) ΩR_2 = (140 \pm 4)\,\Omega. The percentage error for the sum and difference of R1R_1 and R2R_2 are respectively

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  3. Question 3

    15 May 2026 S1

    130
    A resistor of 6 Ω6\ \Omega with a tolerance of 10%10\% and another of 4 Ω4\ \Omega with a tolerance of 10%10\% are connected in series. The tolerance of combination is about

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  4. Question 4

    19 May 2026 S1

    102
    In a certain system, the quantities A and B are measured as 8±0.088 \pm 0.08 and 6±0.066 \pm 0.06 respectively. Let x=AB,y=A+Bx = AB, y = A + B and z=A−Bz = A - B. The correct order of % error in xx, yy and zz is

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