Select the option that is related to the fourth number in the same way as the first number is related to the second number and the fifth number is related to the sixth number.
8 : 24 : : ? : 52 : : 18 : 114
Answer & explanation
Correct answer: option 1
8 : 24 : : ? : 52 : : 18 : 114
The logic followed here is :
[Ist number × (Ist number + 1 ) ] ÷ 3 = IInd number
As
[8 × (8 + 1 ) ] ÷ 3
= (8 × 9) ÷ 3
= 72 ÷ 3
= 24
And
18 : 114
[18 × (18 + 1 ) ] ÷ 3
= (18 × 19) ÷ 3
= 342 ÷ 3
= 114
Similarly
? : 52
[A × (A + 1 ) ] ÷ 3= 52
[A × (A + 1 ) ] = 52 × 3
[A × (A + 1 ) ] = 156
A2 + A = 156
Therefore A will be the value of 12
122 + 12
144 + 12 = 156(hence proved)