Select the option that is related to the third number in the same way as the second number is related to the first number.

223 : 350 :: 519 : ?

Question

Question

This question was previously asked in

SSC CGL 2021 Tier-I (Held On : 11 April 2022 Shift 1)

Answer 1

The pattern followed here is,

Sum of digits of 1^st number + 1 = Sum of digits of 2^nd number.

Now follow the steps:

223 : 350

Sum of digits of 1st number + 1 = Sum of digits of 2nd number.

=> = (2 + 2 + 3) + 1 = 3 + 5 + 0

=> 7 + 1 = 8

=> 8 = 8

Similarly,

519:?

=> Sum of digits of 1^st number + 1 = (5 + 1 + 9) + 1 = 15 + 1 = 16

Check option all options:

Option (1): 736 → 7 + 3 + 6 = 16

Option (2): 687 → 6 + 8 + 7 = 21

Option (3): 654 → 6 + 5 + 4 = 15

Option (4): 645 → 6 + 4 + 5 = 15

Hence, "736" is correct answer.

Alternate Method

223 : 350

⇒ 6³ + 7= 216 + 7 = 223; 73 + 7 = 343 + 7 = 350;

Similarly,

519 : ?

⇒ 83 + 7 = 512 + 7 = 519; 93 + 7 = 729 + 7 = 736;

Hence, "736" is correct answer.