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If 8 # 2 @ 4 = 12 and 5 # 4 @ 2 = 18, then what will be 4 # 8 @ 3?
Question

If 8 # 2 @ 4 = 12 and 5 # 4 @ 2 = 18, then what will be 4 # 8 @ 3?

A.

13

B.

32

C.

26

D.

29

Correct option is D

We are given two equations:
1. 8#2@4=12
2. 5#4@2=18
We need to find the pattern that connects the numbers to the result. Let's break it down step by step.
Step 1: Analyze the first equation
The first equation is: 8#2@4=12
We can assume the symbols # and @ represent operations. Let's try different arithmetic operations to deduce the pattern.
By trial, we find that multiplying the first two numbers and then subtracting the third number gives the correct result: (8×2)−4=16−4=12 This satisfies the equation.
Step 2: Verify the second equation
The second equation is: 5#4@2=18
Using the same operation pattern: (5×4)−2=20−2=18 This also holds true.
Step 3: Solve for 4#8@3
Now, we need to apply the same operation pattern to solve for: 4#8@3
Following the same logic: (4×8)−3=32−3=29
Thus, the correct result is 29.


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