Simplify : 144 ÷ [ (8)/(4) × { 7 + 7 - ( 5 + 8 - (9 + 2) ) } ]

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 05 Jun, 2025 Shift 3)
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  1. 11
  2. 3
  3. 9
  4. 6

Answer (Detailed Solution Below)

Option 4 : 6
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Detailed Solution

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Given:

Simplify: 144 ÷ [ (8 ÷ 4) × { 7 + 7 - ( 5 + 8 - (9 + 2) ) } ]

Formula Used:

Follow BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction).

Calculation:

144 ÷ [ (8)/(4) × { 7 + 7 - ( 5 + 8 - (9 + 2) ) } ]

⇒ 144 ÷ [ 2 × { 14 - ( 5 + 8 - 11 ) } ]

⇒ 144 ÷ [ 2 × { 14 - ( 13 - 11 ) } ]

⇒ 144 ÷ [ 2 × { 14 - 2 } ]

⇒ ​144 ÷ [ 2 × 12 ]

⇒ 144 ÷ 24 = 6

The correct answer is 6.

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