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Simplify: (50% of 360 + √144) ÷ (3/4 of 16)

medium Q6 of 15
Numerical Ability - Simplification & Approximation
Simplify: (50% of 360 + √144) ÷ (3/4 of 16)
A14
B15
C16
D17
Step-by-Step Solution
  1. Step 1: Percent:

    50% of 360 = (50/100) × 360 = 0.5 × 360 = 180.
  2. Step 2: Root:

    √144 = 12.
  3. Step 3: Numerator:

    180 + 12 = 192.
  4. Step 4: Denominator:

    (3/4) of 16 = (3/4) × 16 = 3 × 4 = 12.
  5. Step 5: Division:

    192 ÷ 12 = 16.
  6. Final Answer:

    16 → Option C.
  7. Quick Check:

    16 × 12 = 192 ✅
Quick Trick: Use halves/quarters for quick percent + fraction evaluation.
Common Mistakes:
  • Treating 3/4 incorrectly or skipping the root evaluation.
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