Step-by-step process to answer a NEET percentage-error question:

1. Read the formula — e.g., Z = $A^{2}$B / $C^{3}$
2. Identify every variable and its power — A (power 2), B (power 1), C (power 3)
3. Write the error equation — $\Delta Z$/Z = 2($\Delta A$/A) + 1($\Delta B$/B) + 3($\Delta C$/C)
4. Convert given errors to relative form — if given as ± values, divide by the central value
5. Substitute numerical values — fill in each $\Delta X$/X
6. Sum all terms — never subtract
7. Multiply by 100 — to get percentage error
8. Calculate central value of Z — substitute central values of A, B, C
9. State final answer — Z = [value] ± [% error]%

Step-by-step process to check dimensional consistency of an equation:

1. Write the equation: e.g., $v^{2}$ = $u^{2}$ + 2as
2. Find dimensions of each term:
   • $v^{2}$ → [L^{2}$$T^{-2}]
   • $u^{2}$ → [L^{2}$$T^{-2}]
   • 2as → [L$T^{-2}$][L] = [L^{2}$$T^{-2}]
3. All terms have identical dimensions → equation is dimensionally consistent
4. Note: the constant 2 is dimensionless — dimensional analysis cannot check it