NIMCET 2015 — Reasoning PYQ

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Question

NIMCET 2015 — Reasoning PYQ

NIMCET | Reasoning | 2015

If $\div$ means addition, $-$ means division, $\times$ means subtraction and $+$ means multiplication, then the value of $\frac{(36 \times 4) - 8 \times 4}{4 + 8 \times 2 + 16 \div 1}$ is:

Choose the correct answer:

Explanation

Step 1: Decoding the symbols

$\div \rightarrow +$ (Addition)
$- \rightarrow \div$ (Division)
$\times \rightarrow -$ (Subtraction)
$+ \rightarrow \times$ (Multiplication)

Step 2: Substitute symbols in the expression

The original expression is:

\frac{(36 \times 4) - 8 \times 4}{4 + 8 \times 2 + 16 \div 1}

Replacing the symbols as per the code:

\text{Numerator: } (36 - 4) \div 8 - 4

\text{Denominator: } 4 \times 8 - 2 \times 16 + 1

Step 3: Calculate the Numerator

Solve the bracket: $36 - 4 = 32$
Perform division: $32 \div 8 = 4$
Perform subtraction: $4 - 4 = 0$

Numerator $= 0$

Step 4: Calculate the Denominator

Perform multiplications: $4 \times 8 = 32$ and $2 \times 16 = 32$
The expression becomes: $32 - 32 + 1$
Solve: $0 + 1 = 1$

Denominator $= 1$

Step 5: Final Result

\frac{\text{Numerator}}{\text{Denominator}} = \frac{0}{1} = 0

Conclusion:

The value of the expression after substituting the symbols is 0.

Correct Option: (a) 0