NIMCET 2023 — Reasoning PYQ

Decoding the Operations 

The given examples are analyzed to determine the new meaning of the mathematical operators: 

 

1. Subtraction: $20-10\text{ means }200$". This implies that subtraction is replaced by multiplication, as $20\times 10=200$. 

2. Division: $8÷4\text{ means }12$". This implies that division is replaced by addition, as $8+4=12$. 

3. Multiplication: $6\times 2\text{ means }4$". This implies that multiplication is replaced by subtraction, as $6-2=4$. 

 

Applying the Decoded Operations 

The expression $100-10\times 1000÷1000+100\times 10$" is rewritten using the new operator meanings: 

 

1. The subtraction sign $-$", is replaced by multiplication $\times$". 

2. The multiplication sign $\times$", is replaced by subtraction $-$". 

3. The division sign $÷$", is replaced by addition $+$". 

4. The addition sign $+$", is replaced by division $÷$". 

 

Therefore, the expression becomes: $100\times 10-1000+1000÷100-10$". 

Step-by-Step Calculation 

The calculation is performed following the order of operations (BODMAS/PEMDAS): 

 

1. Multiplication: $100\times 10=1000$. The expression becomes $1000-1000+1000÷100-10$". 

2. Division: $1000÷100=10$. The expression becomes $1000-1000+10-10$". 

3. Addition and Subtraction (from left to right): 

• $1000-1000=0$. The expression becomes $0+10-10$". 

• $0+10=10$. The expression becomes $10-10$". 

• $10-10=0$. 

Final Answer 

The final value of the expression is $0$.