If ‘A’ stands for ‘×’, ‘B’ stands for ‘−’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘÷’, then the
 resultant of which of the following will be 9?

This question was previously asked in
RRB NTPC Graduate Level CBT-I Official Paper (Held On: 06 Jun, 2025 Shift 2)
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  1. 8 A 3 C 10 B 2 D 5
  2.  8 B 3 A 10 C 2 D 5
  3. 8 C 3 B 10 A 2 D 5
  4. 8 B 3 C 10 A 2 D 5

Answer (Detailed Solution Below)

Option 4 : 8 B 3 C 10 A 2 D 5
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Detailed Solution

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Given:

‘A’ stands for ‘×’

‘B’ stands for ‘−’

‘C’ stands for ‘+’

‘D’ stands for ‘÷’

We need to find which of the following e×pressions results in 9.

1) 8 A 3 C 10 B 2 D 5

Replacing the letters with their respective mathematical operations:

8 × 3 + 10 − 2 ÷ 5

Applying the order of operations (PEMDAS/BODMAS):

= 8 × 3 + 10 − 0.4

= 24 + 10 − 0.4

= 34 − 0.4

= 33.6 ≠ 9 (Incorrect)

2) 8 B 3 A 10 C 2 D 5

Replacing the letters with their respective mathematical operations:

8 − 3 × 10 + 2 ÷ 5

Applying the order of operations (PEMDAS/BODMAS):

= 8 − 3 × 10 + 0.4

= 8 − 30 + 0.4

= −22 + 0.4

= −21.6 ≠ 9 (Incorrect)

3) 8 C 3 B 10 A 2 D 5

Replacing the letters with their respective mathematical operations:

8 + 3 − 10 × 2 ÷ 5

Applying the order of operations (PEMDAS/BODMAS):

= 8 + 3 − (10 × 2) ÷ 5

= 8 + 3 − 20 ÷ 5

= 8 + 3 − 4

= 11 − 4

= 7 ≠ 9 (Incorrect)

4) 8 B 3 C 10 A 2 D 5

Replacing the letters with their respective mathematical operations:

8 − 3 + 10 × 2 ÷ 5

Applying the order of operations (PEMDAS/BODMAS):

= 8 − 3 + (10 × 2) ÷ 5

= 8 − 3 + 20 ÷ 5

= 8 − 3 + 4

= 5 + 4

= 9 (Correct)

Hence, the correct answer is "Option 4".

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