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TO 5 is related to YT 25 in a certain way. In the same way, IT 7 is related to NY 49. To which of the following is ON 9 related, following the same logic?

ATS 81

BJI 27

CTS 27

DJI 81

Answer:

A. TS 81

Read Explanation:

Following the established logic, ON 9 is related to TS 81.

The pattern splits each element into two rules—one for the letters and one for the numbers.

Rule 1: The Letter Shifts

  • First Letter: Shifts forward by +5 positions in the alphabet.

  • Second Letter: Shifts forward by +5 positions in the alphabet.

Let's test this pattern on the given examples:

  • TO →\rightarrow YT:

    • T→+5Y\text{T} \xrightarrow{+5} \text{Y}

    • O→+5T\text{O} \xrightarrow{+5} \text{T}

  • IT →\rightarrow NY:

    • I→+5N\text{I} \xrightarrow{+5} \text{N}

    • T→+5Y\text{T} \xrightarrow{+5} \text{Y}

Applying this directly to ON:

  • O→+5T\text{O} \xrightarrow{+5} \mathbf{T}

  • N→+5S\text{N} \xrightarrow{+5} \mathbf{S}

  • The resulting letters are TS.


Rule 2: The Numbers

The second number is the perfect square of the first number (Number2\text{Number}^2):

  • 5→52=255 \rightarrow 5^2 = \mathbf{25} (for YT 25)

  • 7→72=497 \rightarrow 7^2 = \mathbf{49} (for NY 49)

Applying this directly to 9:

  • 9→92=819 \rightarrow 9^2 = \mathbf{81}


Final Match

Combining the letters and the number gives TS 81.


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