Question Details

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 = ?

Options

A

119

B

134

C

128

D

109

Show Answer

Correct Answer :

Option A

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:
17×2=34
Now, subtract 24:
34-24=10

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:
10÷2=5
The equation becomes:
74 + 5 + 16 × 3 - 8 = ?
Next, perform the multiplication:
16×3=48
The equation becomes:
74 + 5 + 48 - 8 = ?

Step 3: Perform Addition and Subtraction (from left to right)
First, add 74 and 5:
74+5=79
The equation becomes:
79 + 48 - 8 = ?
Next, add 48:
79+48=127
The equation becomes:
127 - 8 = ?
Finally, subtract 8:
127-8=119

Thus, the value that replaces the question mark is 119.

Therefore, the correct option is 119.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

  • SSC
  • intermediate
  • 1 hour
  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...