QUESTION

CSAT

Easy

Reasoning

Prelims 2020

In the sum +1+5++1=1\otimes + 1\otimes + 5\otimes + \otimes\otimes + \otimes1 = 1\otimes\otimes for which digit does the symbol \otimes stand?

Select an option to attempt

Explanation

To solve for the digit represented by \otimes, we can interpret the symbols as a combination of digits:

Let's break down the equation:

(1) +1+5++1=1\otimes + 1\otimes + 5\otimes + \otimes\otimes + \otimes 1 = 1\otimes\otimes

We consider the value of \otimes and check with each option:

Let’s test with B (3):

Substitute =3\otimes = 3:

=3\otimes = 3 1=131\otimes = 13 5=535\otimes = 53 =33\otimes\otimes = 33 1=31\otimes1 = 31 Now, checking:

3+13+53+33+31=1333 + 13 + 53 + 33 + 31 = 133, which matches the pattern of 11\otimes\otimes (where =3\otimes = 3).

So, the correct digit is 3.

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