GATE Mechanical 2021 Set 1 | GA Question: 4

Question

If $\left\{\begin{matrix} \text{“} \oplus\text{”} \; \text{means}\; \text{“}-\text{”} \\  \text{“} \otimes\text{”} \; \text{means}\; \text{“}\div\text{”}  \\  \text{“} \triangle\text{”} \; \text{means}\; \text{“}+\text{”}  \\  \text{“} \triangledown\text{”} \; \text{means}\; \text{“}\times\text{”}  \end{matrix}\right.$

then, the value of the expression $\triangle 2 \oplus 3 \triangle \left((4 \otimes 2) \triangledown 4) \right) = $

• A. $-1$
• B. $-0.5$
• C. $6$
• D. $7$

Answer 1

The value of the expression $\triangle 2 \oplus 3 \triangle \left((4 \otimes 2) \triangledown 4) \right) = +2 -3+((4\div 2) \times 4)  = -1 + 8 = 7.\quad$

So, the correct answer is $(D).$