Question

Evaluate the value of the expression: \[18{\text{ }}of{\text{ }}\left[ {59 - \left\{ {7 \times 8 + \left( {26 - 3{\text{ }}of{\text{ }}5} \right)} \right\}} \right] \]
A.-188
B.+144
C.-144
D.None of these

Answer 1

Hint: In this question, we need to evaluate the value of the given expression. For this, we will use the BODMAS rule. Here, the operator \[of\] means multiplication and the given expression contains brackets, multiplication, addition and the subtraction, so we will first reduce the brackets and then we will do multiplications, addition and then subtraction.

Complete step-by-step answer:
Given the expression to calculate is \[18{\text{ }}of{\text{ }}\left[ {59 - \left\{ {7 \times 8 + \left( {26 - 3{\text{ }}of{\text{ }}5} \right)} \right\}} \right] \]
Now since operator \[of\] stands for the multiplication so we can write the expression as
 \[\Rightarrow 18 \times \left[ {59 - \left\{ {7 \times 8 + \left( {26 - 3 \times 5} \right)} \right\}} \right] \]
Now in the small bracket we will do multiplication
 \[\Rightarrow 18 \times \left[ {59 - \left\{ {7 \times 8 + \left( {26 - 15} \right)} \right\}} \right] \]
Now we will subtract the numbers in mini bracket
 \[\Rightarrow 18 \times \left[ {59 - \left\{ {7 \times 8 + 11} \right\}} \right] \]
Now in the medium bracket we will do multiplication and then addition
 \[
\Rightarrow 18 \times \left[ {59 - \left\{ {56 + 11} \right\}} \right] \\
\Rightarrow 18 \times \left[ {59 - 67} \right] \;
 \]
Now for the large bracket subtraction of the numbers will be done as
 \[\Rightarrow 18 \times \left( { - 8} \right)\]
Now at last multiplication will be done for the negative number
 \[\Rightarrow 18 \times \left( { - 8} \right) = - 144\]
Hence the value of the given expression is \[18{\text{ }}of{\text{ }}\left[ {59 - \left\{ {7 \times 8 + \left( {26 - 3{\text{ }}of{\text{ }}5} \right)} \right\}} \right] \] \[ = - 144\]
Option C is correct.
So, the correct answer is “Option C”.

Note: As the expression contains multiple operators and it stands for Bracket Order Division Multiplication Addition Subtraction, it is a series operation of expression where operations in bracket are first calculated then all division operations are done followed by the multiplication, addition and the subtraction.