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Simplify: (√100 + 30% of 100) ÷ (2/5 of 25)

easy Q13 of 15
Numerical Ability - Simplification & Approximation
Simplify: (√100 + 30% of 100) ÷ (2/5 of 25)
A3
B5
C4
D6
Step-by-Step Solution
  1. Step 1: Evaluate the square root

    √100 = 10.
  2. Step 2: Compute 30% of 100

    30% = 30/100, so 30.
  3. Step 3: Form the numerator

    10 + 30 = 40.
  4. Step 4: Compute denominator

    (2/5) × 25 = 10.
  5. Step 5: Divide

    40 ÷ 10 = 4.
  6. Final Answer:

    4 → Option C.
  7. Quick Check:

    4 × 10 = 40 (correct) ✅
Quick Trick: Convert percent to decimal/fraction and simplify fraction multiplications before dividing.
Common Mistakes:
  • Forgetting to multiply the denominator fraction correctly.
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