In a certain code language if lsquo 375 rsquo is written as lsquo 42 rsquo and lsquo 784 rsquo is wr...........

Logical Reasoning (MTS) Coding & Decoding

In a certain code language, if ‘375’ is written as ‘42’, and ‘784’ is written as ‘14’, then in the

same code language, how will you write ‘465’?

This questions was previously asked in

SSC MTS 18th October 2021 Shift-1

Let’s break it down:

- ‘375’ becomes ‘42’. What’s happening?

* Try adding the digits: 3 + 7 + 5 = 15. No.

* Try multiplying: 3 × 7 × 5 = 105. No.

* Try subtraction: 3 - 7 - 5 = -9. No.

* Let’s check sum of squares: (3² + 7² + 5²) = 9 + 49 + 25 = 83. Not matching.

* Check difference: Highest digit minus lowest: 7 - 3 = 4, 7 - 5 = 2... That gives us 4 and 2… 42.

- ‘784’ becomes ‘14’.

* Highest is 8, lowest is 4. 8 - 7 = 1, 8 - 4 = 4. That gives 1 and 4… 14.

Looks like we’re forming the code by subtracting the smallest digit from the highest, and from another digit.

Now let’s do ‘465’:

- Highest digit is 6, lowest is 4.

- 6 - 4 = 2.

- 6 - 5 = 1. So, the code should be 21!

Let’s check the options:

Option 1: 21

Option 2: 43

Option 3: 34

Option 4: 12

So the answer is definitely Option 1: 21.

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