Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number.
2531 : 121 :: 1446 : ? :: 3506 : 196
- A258
- B225
- C256
- D144
Solution & Step-by-step Explanation
Let's analyze the digital relationship for the pairs:
Pair 1: 2531→121
Sum of the digits of 2531=2+5+3+1=11.
Square of the sum =11
2
=121.
Pair 3: 3506→196
Sum of the digits of 3506=3+5+0+6=14.
Square of the sum =14
2
=196.
Applying the same logic to the middle pair (1446):
Sum of the digits of 1446=1+4+4+6=15.
Square of the sum =15
2
=225.
Pair 1: 2531→121
Sum of the digits of 2531=2+5+3+1=11.
Square of the sum =11
2
=121.
Pair 3: 3506→196
Sum of the digits of 3506=3+5+0+6=14.
Square of the sum =14
2
=196.
Applying the same logic to the middle pair (1446):
Sum of the digits of 1446=1+4+4+6=15.
Square of the sum =15
2
=225.