In a certain system, the quantities A and B are measured as 8 ± 0.08 and 6 ± 0.06 respectively. Let x = AB, y = A + B and z = A - B. The correct order of % error in x, y and z is (a) x = y > z (b) x x > y (d) x > z > y

Answer: (c). Each of A, B has 1% error ( Δ A = 0.08, Δ B = 0.06). x = AB: 1% + 1% = 2% y = A + B = 14 ± 0.14: 1%; z = A - B = 2 ± 0.14: 7% So z > x > y: the answer is (c).

In a certain system, the quantities A and B are measured as 8 ± 0.08… | MHT CET 2026 (19 May, Shift 1)

Q5MHT CET 2026 · 19 MAY · SHIFT 1Easy

Errors in Measurement

In a certain system, the quantities A and B are measured as $8 \pm 0.08$ and $6 \pm 0.06$ respectively. Let $x = AB,\ y = A + B$ and $z = A - B$ . The correct order of % error in $x,\ y$ and $z$ is

Show answer and solution

Answer: (c)

Each of $A, B$ has $1\%$ error ( $\Delta A = 0.08$ , $\Delta B = 0.06$ ).
$x = AB$ : $1\% + 1\% = 2\%$
$y = A + B = 14 \pm 0.14$ : $1\%$ ; $z = A - B = 2 \pm 0.14$ : $7\%$
So $z > x > y$ : the answer is (c).

Report a mistake

Errors in Measurement question from MHT CET 2026 (19 May, Shift 1)

More questions on Errors in Measurement