In a certain code language, ‘MAN’ is coded as ‘15316’ and ‘SHE’ is coded as ‘21107’. How will ‘OUT’ be coded in that language?

Question

Accepted Answer

Let's analyze the coding pattern:

Given:
MAN → 15316
SHE → 21107

Let's break down the code for each letter:

First, write the position of each letter in the alphabet:
M = 13, A = 1, N = 14
S = 19, H = 8, E = 5

Now, let's see how these are coded:
MAN → 15316
SHE → 21107

Let's try to split the code for 'MAN':
- 1 5 3 1 6
But there are 5 digits for 3 letters. Let's try to pair them:
- M A N
- 15 31 6
But 'M' is 13, not 15. Let's try another way.

Alternatively, let's try splitting as:
- 15 3 16
- M  A  N
- 13 1 14

But 15 ≠ 13, 3 ≠ 1, 16 ≠ 14.

Let's check for a pattern:
- For 'M' (13), code is 15: 13 + 2 = 15
- For 'A' (1), code is 3: 1 + 2 = 3
- For 'N' (14), code is 16: 14 + 2 = 16

So, the code for each letter is its position in the alphabet plus 2.

Let's check for 'SHE':
S = 19 + 2 = 21
H = 8 + 2 = 10
E = 5 + 2 = 7
So, code is 21 10 7 → 21107

Now, let's code 'OUT':
O = 15 + 2 = 17
U = 21 + 2 = 23
T = 20 + 2 = 22
So, code is 17 23 22 → 172322

But this is not matching any option. Let's check the options:
1. 152120
2. 172121
3. 172322
4. 152222

Option 3 is 172322, which matches our calculation. But the answer key says option 2 is correct. Let's double-check.

Wait, let's check the digit grouping in the codes:
MAN → 15316
If we split as 15 3 16:
M = 13 + 2 = 15
A = 1 + 2 = 3
N = 14 + 2 = 16
So, 15 3 16 → 15316

Similarly, SHE → 21107
S = 19 + 2 = 21
H = 8 + 2 = 10
E = 5 + 2 = 7
So, 21 10 7 → 21107

So, for OUT:
O = 15 + 2 = 17
U = 21 + 2 = 23
T = 20 + 2 = 22
So, 17 23 22 → 172322

Thus, the correct answer should be option 3: 172322.

Therefore, the correct option is:
Option 3: 172322

Answer

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