Solution:Given: “#” represents one of the following operations such as; addition, subtraction, multiplication or division.
To find: Value of 6#2, which means which operation does “#” holds.
Analysis of statement 1: \(10 # 5 = 2\)
Let’s plug in the different operations for “#” and let’s see which yields 2 as the answer.
10#5 = 10+ 2 = 12 ≠2
10#5 = 10 - 5 = 5 ≠2
10#5 = 10 × 5 = 50 ≠2
10#5 = 10 ÷ 2 = 2
From statement 1 it is clear that “#” hold division operation, therefore we can get the answer for
6#2 = 6 ÷2=3. Hence statement 1 is sufficient. We can eliminate options B, C and D.
Analysis of statement 2: \(4 # 2 = 2\)
Let’s plug in the different operations for “#” and let’s see which yields 2 as the answer
4#2 =4+ 2 = 6 ≠2
4#2 =4-2 = 2=2
4#2 = 4 × 2 = 8 ≠2
4#2 = 4 ÷ 2 = 2
From statement 2 it is clear that “#” hold both subtraction and division operation, therefore we will be getting two different answers.
6#2 = 6 – 2 = 4
6#2 = 6÷2 = 3
Hence statement 2 is not sufficient to answer. We can eliminate options D.
So, the correct answer option is “A”.
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