QUESTION

CSAT

Easy

Reasoning

Prelims 2013

Consider the following matrix:

33707
22246
1730X

What is the number at ‘X’ in the above matrix?

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Explanation

We need to find X by identifying a pattern in each row of the matrix.

Step-by-Step Analysis:

Consider each row and examine how the numbers are related:

Row 1: 3, 370, 7 Row 2: 2, 224, 6 Row 3: 1, 730, X Look at how the middle column is related to the first and third columns:

In Row 1, 3×7=213 \times 7 = 21, but 370 is much larger. We observe that 3×7×10+1=3703 \times 7 \times 10 + 1 = 370. In Row 2, 2×6=122 \times 6 = 12, and 224 follows 2×6×10+4=2242 \times 6 \times 10 + 4 = 224. In Row 3, 1×X×10+0=7301 \times X \times 10 + 0 = 730. Solving for X: 1×X×10=7301 \times X \times 10 = 730, X=9X = 9.

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