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Simplify: ((√49 + 3³) × (1/2 of 8)) ÷ (2/2 of 4)

hard Q10 of 15
Numerical Ability - Simplification & Approximation
Simplify: ((√49 + 3³) × (1/2 of 8)) ÷ (2/2 of 4)
A34
B17
C16
D18
Step-by-Step Solution
  1. Step 1: Evaluate inside sums:

    √49 = 7 and 3³ = 27 → sum = 7 + 27 = 34.
  2. Step 2: Multiply by (1/2 of 8):

    1/2 of 8 = 4 → 34 × 4 = 136.
  3. Step 3: Denominator:

    2/2 of 4 = (2/2) × 4 = 1 × 4 = 4.
  4. Step 4: Division:

    136 ÷ 4 = 34.
  5. Final Answer:

    34 → Option A.
  6. Quick Check:

    34 × 4 = 136 → 136 ÷ 4 = 34 ✅
Quick Trick: Simplify inner parentheses fully, then perform the outer multiplications/divisions; treat '2/2 of n' as (2/2)×n = n.
Common Mistakes:
  • Misreading '2/2 of 4' or failing to multiply after adding terms in the numerator.
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