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Simplify: (5³ − 4²) × √121

hard Q10 of 15
Numerical Ability - Simplification & Approximation
Simplify: (5³ − 4²) × √121
A1100
B1190
C1200
D1199
Step-by-Step Solution
  1. Step 1: Evaluate the powers

    5³ = 125 and 4² = 16.
  2. Step 2: Subtract powers

    125 − 16 = 109.
  3. Step 3: Multiply by the root

    √121 = 11 → 109 × 11 = 1199.
  4. Final Answer:

    1199 → Option D.
  5. Quick Check:

    109×10=1090; +109 → 1199 ✅
Quick Trick: Perform subtraction of powers first, then multiply by the root.
Common Mistakes:
  • Multiplying before subtracting or mis-evaluating the root.
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