Select the number from among the given options that can replace the question mark (?) in the following series.

5, 18, 70, 278, ?

This question was previously asked in
SSC CGL 2021 Tier-I (Held On : 11 April 2022 Shift 1)
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  1. 328
  2. 298
  3. 592
  4. 1110 

Answer (Detailed Solution Below)

Option 4 : 1110 
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Detailed Solution

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The pattern followed here is:

(Previous number × 3) + (previous number – 2) = next number

Given: 5, 18, 70, 278, ?

1st number → 5

2nd number → (5 × 3) + (5 - 2) = 15 + 3 = 18

3rd number → (18 × 3) + (18 - 2) = 54 + 16 = 70

4th number → (70 × 3) + (70 - 2) = 210 + 68 = 278

5th number (278 × 3) + (278 - 2) = 834 + 276 = 1110

Hence, ''1110" is the correct answer.

Alternate MethodThe logic followed here is:

The Previous number × 4 - 2 = next number.

5, 18, 70, 278, ?

5 × 4 - 2 = 18

18 × 4 - 2 = 70

70 × 4 - 2 = 278

278 × 4 - 2 = 1110

Hence, the correct answer is "1110".

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