If ‘A’ stands for ‘+’, ‘B’ stands for ‘−’, ‘C’ stands for ‘×’ and ‘D’ stands for ‘÷’, what will come in place of the question mark (?) in the following equation?
74 A (17 C 2 B 24) D 2 A 16 C 3 B 8 = ?
Correct Answer :
119
Solution :
To find the value that comes in place of the question mark (?), we need to substitute the given mathematical operators for the letters A, B, C, and D in the equation:
Given substitutions:
A stands for + (Addition)
B stands for - (Subtraction)
C stands for × (Multiplication)
D stands for ÷ (Division)
Let's rewrite the given equation by replacing the letters with their respective operators:
Original Equation: 74 A (17 C 2 B 24) D 2 A 16 C 3 B 8 = ?
Substituted Equation: 74 + (17 × 2 - 24) ÷ 2 + 16 × 3 - 8 = ?
Now, we solve this expression using the BODMAS rule, which dictates the order of operations: Brackets, Orders, Division/Multiplication (from left to right), and Addition/Subtraction (from left to right).
Step 1: Solve the expression inside the brackets
Inside the bracket, we have: (17 × 2 - 24)
First, perform the multiplication:
Now, subtract 24:
Substitute this value back into the equation:
74 + 10 ÷ 2 + 16 × 3 - 8 = ?
Step 2: Perform Division and Multiplication (from left to right)
First, perform the division:
The equation becomes:
74 + 5 + 16 × 3 - 8 = ?
Next, perform the multiplication:
The equation becomes:
74 + 5 + 48 - 8 = ?
Step 3: Perform Addition and Subtraction (from left to right)
First, add 74 and 5:
The equation becomes:
79 + 48 - 8 = ?
Next, add 48:
The equation becomes:
127 - 8 = ?
Finally, subtract 8:
Thus, the value that replaces the question mark is 119.
Therefore, the correct option is 119.
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