NIMCET 2011 — Reasoning PYQ

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Question

NIMCET 2011 — Reasoning PYQ

NIMCET | Reasoning | 2011

Correct the following equation by inter-changing two signs. $3 - 9 \times 27 + 9 \div 3 = 3$

Choose the correct answer:

Explanation

1. Given Equation:

$3 - 9 \times 27 + 9 \div 3 = 3$

2. Testing Option (c): Interchanging $\times$ and $\div$

Replace $\times$ with $\div$ and $\div$ with $\times$ :

3 - 9 \div 27 + 9 \times 3 = 3

Applying BODMAS rule:

Division: $3 - \frac{9}{27} + 27 = 3 - \frac{1}{3} + 27$
This does not result in an integer $3$ . (Incorrect)

3. Testing Option (d): Interchanging $\times$ and $-$

Replace $\times$ with $-$ and $-$ with $\times$ :

3 \times 9 - 27 + 9 \div 3 = 3

Applying BODMAS rule:

Division: $3 \times 9 - 27 + 3$
Multiplication: $27 - 27 + 3$
Addition/Subtraction: $0 + 3 = 3$

4. Verification:

L.H.S = 3

R.H.S = 3

L.H.S = R.H.S

Correct Option: (d) $\times$ and $-$