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If (3/4 of 160) = ? × 30, find the value of ?.

easy Q13 of 15
Numerical Ability - Simplification & Approximation
If (3/4 of 160) = ? × 30, find the value of ?.
A3
B5
C4
D6
Step-by-Step Solution
  1. Step 1: Compute the fraction of the number

    (3/4) of 160 = (3/4) × 160 = 3 × 40 = 120.
  2. Step 2: Form the equation

    120 = ? × 30.
  3. Step 3: Find ? by dividing

    ? = 120 ÷ 30 = 4.
  4. Final Answer:

    4 → Option C.
  5. Quick Check:

    4 × 30 = 120, equals (3/4) of 160 ✅
  6. Explanation for Beginners:

    When you see '3/4 of 160', multiply 160 by 3/4. That gives a number which is expressed as a product with ?. Divide by the given multiplier to find the unknown.

Quick Trick: Compute the 'of' part first (fraction × number), then divide by the right-hand multiplier.
Common Mistakes:
  • Forgetting to simplify 160×(3/4) by cancelling before multiplying which makes arithmetic harder.
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