Question : Directions: Select the option related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
10 : 512 :: 12 : 1000 :: 8 : ?
Option 1: 315
Option 2: 216
Option 3: 512
Option 4: 256
Correct Answer: 216
Solution :
Given:
10 : 512 :: 12 : 1000 :: 8 : ?
Subtract 2 from the first number, and then cube the resultant, to obtain the second number in each number pair –
Like, 10 : 512→(10 – 2)
3
= 8
3
= 512
And, 12 : 1000→(12 – 2)
3
= 10
3
= 1000
Similarly, follow the same pattern for 8 : ?→
⇒ (8 – 2)
3
= 6
3
= 216
So, 216 is the required missing number. Hence, the second option is correct.
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