Question

The value of \[55 - \left[ {61 - \left\{ {93 - \left( {14 - 18 - 5} \right)} \right\}} \right]\] is:
A) \[90\]
B) \[91\]
C) \[92\]
D) \[96\]

Answer 1

Hint: Here we will solve this particular expression by using the property in which first of all we will solve the terms in the small brackets i.e. \[\left( {} \right)\] , after that we will solve all the terms inside the curly brackets i.e.
\[\left\{ {} \right\}\], and finally we will solve the square brackets i.e. \[\left[ {} \right]\].

Complete step-by-step solution:
Step 1: For solving the expression \[55 - \left[ {61 - \left\{ {93 - \left( {14 - 18 - 5} \right)} \right\}} \right]\] , first of all, we will solve the small brackets as shown below:
\[ \Rightarrow 55 - \left[ {61 - \left\{ {93 - \left( { - 9} \right)} \right\}} \right]\]
After opening the brackets
\[\left( {} \right)\], we get:
\[ \Rightarrow 55 - \left[ {61 - \left\{ {93 + 9} \right\}} \right]\] , because we know that two negative symbols make a positive symbol.
Step 2: Now we will solve the curly brackets in the above expression
\[55 - \left[ {61 - \left\{ {93 + 9} \right\}} \right]\] by doing the addition of the terms \[93\] and
\[9\] as shown below:
\[ \Rightarrow 55 - \left[ {61 - \left\{ {102} \right\}} \right]\]
We can write the above expression as below:
\[ \Rightarrow 55 - \left[ {61 - 102} \right]\]
Step 3: Now finally we will solve the square brackets by subtracting \[61\] from \[102\]as shown below:
\[ \Rightarrow 55 - \left[ { - 41} \right]\]
By opening the brackets, we get:
\[ \Rightarrow 55 + 41\]
Step 4: By doing the final addition of the terms we get:
\[ \Rightarrow 96\]

Option D is the correct answer.

Note: Students need to remember the BODMAS rule for solving these types of questions. The full form of BODMAS is as given below:
B- Brackets
O- Orders
D- Division
M- Multiplication
A-Addition
S- Subtraction
Steps for solving the expression according to the BODMAS rule will be:
Calculations inside the brackets need to be solved first.
Orders or indices, which means any powers or root will be the next step for solving.
Before doing addition and subtraction, we will complete the division and multiplication part solving from left to right.
After that finally, we will solve the addition and subtraction from left to right to get the correct answer.