Simplify:

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

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NTPC Graduate Tier 1

2025 • 05 Jun, 2025 • Shift-3

Simplify:

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

Correct Answer

[BODMAS Execution Flow]: Mathematical simplification demands strict adherence to the bracket hierarchy: innermost parentheses first '()', followed by curly brac......

💡 Analysis & Explanation

[BODMAS Execution Flow] ▼

Mathematical simplification demands strict adherence to the bracket hierarchy: innermost parentheses first '()', followed by curly braces '{}', and finally square brackets '[]'.

[Innermost Bracket Clearance] ▼

Start with the deepest parentheses: (9 + 2) equals 11. Now, substitute this back: (5 + 8 - 11). This evaluates to 13 - 11, which equals 2.

[Curly Braces Processing] ▼

Move outward to the curly braces: {7 + 7 - 2}. This evaluates to 14 - 2, leaving us with exactly 12.

[Square Bracket Multiplication] ▼

Now handle the contents inside the square bracket: [8/4 × 12]. Since 8/4 simplifies to 2, the operation is simply [2 × 12], yielding 24.

[Final Division Phase] ▼

The last step addresses the outermost operation: 144 ÷ 24. Dividing 144 by 24 gives exactly 6.

Conclusion ▼

The fully simplified value of the entire expression is 6.

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

Simplify:

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