Question : Directions: Select the option that is 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.
1 : 7 :: 3 : 215 :: 4 : ?
Option 1: 453
Option 2: 342
Option 3: 511
Option 4: 363
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Correct Answer: 511
Solution :
Given:
1 : 7 :: 3 : 215 :: 4 : ?
In the given pairs, multiply the first number by 2, then find the cube of that number, and then subtract 1 from the resultant, to get the second number.
Like, 1 : 7→1 × 2 = 2; (2)
3
= 8; 8 – 1 = 7
3 : 215→3 × 2 = 6; (6)
3
= 216; 216 – 1 = 215
Similarly, follow the same pattern for 4 : ?→4 × 2 = 8; (8)
3
= 512; 512 – 1 = 511
So, 511 is related to 4 in the same way as the second number is related to the first number and the fourth number is related to the third number. Hence, the third option is correct.
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