In the following question, some symbols are represented by letters as shown below: 'M' means + 'N' means -, 'R' means x, 'P' means ÷, 'Q' means = , Which of the following expressions is correct?

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UP Police SI (दरोगा) Official PYP (Held On: 12 Nov 2021 Shift 2)
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  1. 11R4N9M7Q45
  2. 8R7N10M13Q70
  3. 6R8N39P13Q45 
  4. 12P4M3R6Q30

Answer (Detailed Solution Below)

Option 3 : 6R8N39P13Q45 
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Detailed Solution

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BODMAS

Decoding signs:

Letter M N R P Q
Stands For + - × ÷ =

So, checking each option one by one:

Option 1) 11R4N9M7Q45 ⇒ 11 × 4 - 9 + 7 = 45

⇒ 11 × 4 - 9 + 7 = 45

44 + 7 - 9 = 45

51 - 9 = 45

⇒ 42  45 (LHS ≠ RHS)

Option  2) 8R7N10M13Q70 ⇒ 8 × 7 - 10 + 13 = 70

⇒ × 7 - 10 + 13 = 70

56 + 13 - 10 = 70

69 - 10 = 70

⇒ 59  70 (LHS ≠ RHS)

Option  3) 6R8N39P13Q45 ⇒ 6 × 8 - 39 ÷ 13 = 45

⇒ × 8 - 39 ÷ 13 = 45

⇒ × 8 - 3 = 45

48 - 3 = 45

⇒ 45 = 45 (LHS RHS)

Option  4) 12P4M3R6Q30 ⇒ 12 ÷ 4 + 3 × 6 = 30

⇒ 12 ÷ 4 + 3 × 6 = 30

⇒ 3 + × 6 = 30

3 + 18 = 30

⇒ 21  30 (LHS ≠ RHS)

Hence, "Option 3" is the correct answer.

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