If 5472 = 9, 6342 = 6 and 7584 = 6, then what is 9236 ?

If 5472 = 9, 6342 = 6 and 7584 = 6, then what is 9236 ?

2
3
4
5
This question was previously asked in
UPSC CAPF – 2019
The correct answer is A) 2.
We need to find the pattern connecting the four-digit numbers on the left side of the equality and the single-digit numbers on the right side. Let’s examine the given examples:
1) 5472 = 9
Let’s try operations on the digits: 5, 4, 7, 2.
Sum of digits: 5 + 4 + 7 + 2 = 18. The result is 9. The digital root of 18 (1+8) is 9.
2) 6342 = 6
Digits: 6, 3, 4, 2.
Sum of digits: 6 + 3 + 4 + 2 = 15. The result is 6. The digital root of 15 (1+5) is 6.
3) 7584 = 6
Digits: 7, 5, 8, 4.
Sum of digits: 7 + 5 + 8 + 4 = 24. The result is 6. The digital root of 24 (2+4) is 6.

The pattern appears to be calculating the sum of the digits of the number and then finding the digital root (summing digits repeatedly until a single digit is obtained).

Now, apply this pattern to the number 9236:
Sum of digits: 9 + 2 + 3 + 6 = 20.
Find the digital root of 20: 2 + 0 = 2.

Therefore, 9236 = 2 based on the established pattern.

Such coding or pattern recognition problems in aptitude tests often involve simple arithmetic operations on the digits, their positions, or groups of digits. Digital root is a common pattern used.