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Q.

For the four sets of three measured physical quantities as given below. Which of the following options is correct?

iA1=24.36,B1=0.0724,C1=256.2iiA2=24.44,B2=16.082,C2=240.2iiiA3=25.2,B3=19.2812,C3=236.183ivA4=25,B4=236.191,C4=19.5

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a

A1+B1+C1<A2+B2+C2=A3+B3+C3<A4+B4+C4

b

A4+B4+C4<A1+B1+C1<A3+B3+C3<A2+B2+C2

c

A1+B1+C1=A2+B2+C2=A3+B3+C3=A4+B4+C4

d

A4+B4+C4<A1+B1+C1=A2+B2+C2=A3+B3+C3

answer is B.

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Detailed Solution

In addition using significant figures, we need to round off to least decimal points.A1+B1+C1=24.36+0.0724+256.2=280.6324=280.6s  Using significant figureA2+B2+C2=24.44+16.082+240.2=280.722 =280.7A3+B3+C3=25.2+19.2812+236.183=280.6642 =280.7A4+B4+C4=25+236.191+19.5=280.691 =281

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