Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.
4 : 84 :: 11 : ? :: 13 : 2379
Option 1: 1221
Option 2: 1463
Option 3: 1440
Option 4: 819
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Correct Answer: 1463
Solution :
Given:
4 : 84 :: 11 : ? :: 13 : 2379
Find the cube of the first number and add this to the product of the first number and the number preceding the first number –
⇒ 4 : 84→4
3
+ (4 × 5) = 64 + 20 = 84
⇒ 13 : 2379→13
3
+ (13 × 14) = 2197 + 182 = 2379
Similarly following the same pattern –
⇒ 11 : ?→11
3
+ (11 × 12) = 1331+ 132 = 1463
So, 1463 is the missing term. Hence, the second option is correct.
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