JEE Main · 2025 · 24 Jan 2025 · Shift 1 · Units & Measurement

For an experimental expression

y = \frac{32.3 \times 1125}{27.4}

, where all the digits are significant. Then to report the value of

y

we should write :-

(A) $y = 1326.2$
(B) $y = 1326.19$
(C) $y = 1326.186$
(D) $y = 1330$ ✓ Correct

Answer: (D)

Solution

Computing the raw value:

y = \frac{32.3 \times 1125}{27.4} = 1326.186 \dots

In a product or quotient the result can carry no more significant figures than the operand with the fewest significant figures. Here 32.3 has 3 significant figures, 1125 has 4, and 27.4 has 3 — the least is 3.

Rounding 1326.186 to 3 significant figures gives 1330, with the trailing zero acting only as a placeholder for the correct order of magnitude, not as a significant digit.

y = 1330

JEE Main · 2025 · 24 Jan 2025 · Shift 1 · Single correct option

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