Question : Directions: Select the option related to the sixth number in the same way as the first number is related to the second number and the third number is related to the fourth number.
4 : 66 :: 8 : 514 :: ? : 345
Option 1: 11
Option 2: 7
Option 3: 9
Option 4: 8
Correct Answer: 7
Solution :
Given:
4 : 66 :: 8 : 514 :: ? : 345
Add two to the cube of the first number, to obtain the second number in each number pair –
Like, 4 : 66→4
3
+ 2 = 64 + 2 = 66
And, 8 : 514→8
3
+ 2 = 512 + 2 = 514
Similarly, follow the same pattern for 345→
a
3
+ 2 = 345
a
3
= 345 – 2
a
3
= 343
a = 7
Therefore, the required missing number is 7. Hence, the second option is correct.