If × means −,÷ means +, − means ÷, and + means ,× then what will be the value of the following expression?
125 − 25 ÷ 4 + 25 × 4 + 10 =?
This questions was previously asked in
SSC CPO 9th Nov 2022 Shift 2
Explanation:
Let’s replace the operators as given:
- × means -
- ÷ means +
- - means ÷
- + means ×
Expression: 125 - 25 ÷ 4 + 25 × 4 + 10
Substitute the symbols:
- 125 "-" 25 "÷" 4 "+" 25 "×" 4 "+" 10
becomes
- 125 ÷ 25 + 4 × 25 - 4 × 10
Now, replace with the real meanings:
- 125 ÷ 25 + 4 (-) 25 (-) 4 (-) 10
But let's arrange as per question:
- 125 (÷) 25 (+) 4 (×) 25 (-) 4 (×) 10
Translating:
- "-" is ÷, so 125 ÷ 25
- "÷" is +, so + 4
- "+" is ×, so × 25
- "×" is -, so - 4
- "+ 10" = × 10
But to keep clarity, let's write it step by step:
Given expression:
125 - 25 ÷ 4 + 25 × 4 + 10
Substitute operator meanings:
- 125 - (÷) 25 ? 125 ÷ 25
- ÷ 4 (+) ? + 4
- + 25 (×) ? × 25
- × 4 (+) ? - 4
- + 10 ? × 10
So:
125 ÷ 25 + 4 × 25 - 4 × 10
Now solve it step by step:
- 125 ÷ 25 = 5
- 5 + 4 = 9
- 9 × 25 = 225
- 225 - 4 = 221
- 221 × 10 = 2210
But this result is way too high. Let's check the order of operations:
Alternatively, use brackets for clarity as per the standard order:
125 - 25 ÷ 4 + 25 × 4 + 10
Becomes:
125 ÷ 25 + 4 × 25 - 4 × 10
Step by step:
- 125 ÷ 25 = 5
- 4 × 25 = 100
- 4 × 10 = 40
Now, sum it up as per left to right:
- 5 + 100 = 105
- 105 - 40 = 65
So, the value is 65.
- Option 1: 68
- Option 2: 62
- Option 3: 70
- Option 4: 65
Correct answer is option 4: 65.
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Summary Statements:
- Operator meanings are swapped as per question's instruction.
- Substitute carefully and follow correct math order (BODMAS/PEMDAS).
- Final calculation gives you 65.
- Option 4 is correct.
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