In a certain code language 39 FOSTER 39 is written as 39 36 39 and 39 DANCE 39 is written as 39 25 3...........

Logical Reasoning (MTS) Coding & Decoding

In a certain code language, 'FOSTER' is written as '36' and 'DANCE' is written as '25'. How will 'ORCHARD' be written in that

language?

This questions was previously asked in

SSC MTS 7th October 2021 Shift-1

Let's analyze the code:

- 'FOSTER' = 36

- 'DANCE' = 25

If we count the number of letters:

FOSTER (6 letters); 6 × 6 = 36

DANCE (5 letters); 5 × 5 = 25

So, the code represents the square of the number of letters.

Now for 'ORCHARD':

- ORCHARD has 7 letters.

- 7 × 7 = 49

Let’s check the options:

Option 1: 64 (incorrect, would be 8², for an 8-letter word)

Option 2: 36 (incorrect, 6²)

Option 3: 49 (correct, 7²)

Option 4: 45 (not a perfect square)

So the right answer is:

Option 3: 49

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