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All questions of Mathematical Operations for Class 6 Exam

lf'+' denotes 'multiplication', ′×′denotes 'subtraction',′÷′, denotes 'addition', and ′−′, denotes 'division', then 175 − 25 ÷ 5 + 20 × 3 + 10 =?
  • a)
    160
  • b)
    70
  • c)
    77
  • d)
    240
Correct answer is option 'C'. Can you explain this answer?

Subset Academy answered
Given the new symbol notations:
  • '+' denotes 'multiplication'
  • '×' denotes 'subtraction'
  • '÷' denotes 'addition'
  • '−' denotes 'division'
We need to evaluate the expression 175 − 25 ÷ 5 + 20 × 3 + 10 using the new notation.
Step 1: Replace the symbols as per the new notation.
  • '−' becomes division (i.e., '÷')
  • '÷' becomes addition (i.e., '+')
  • '+' becomes multiplication (i.e., '×')
  • '×' becomes subtraction (i.e., '−')
So, the expression 175 − 25 ÷ 5 + 20 × 3 + 10 becomes: 175 ÷ 25 + 5 × 20 − 3 × 10
Step 2: Simplify the expression following the order of operations (BODMAS/BIDMAS).
  • First, do the division and multiplication from left to right:
    • 175 ÷ 25 = 7
    • 5 × 20 = 100
    • 3 × 10 = 30
So, the expression becomes: 7 + 100 − 30
  • Now, perform the addition and subtraction from left to right:
    • 7 + 100 = 107
    • 107 − 30 = 77
Final answer: The value of the expression is 77.
So, the correct option is C: 77.

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