SSC CHSL Model Paper 12

Question : 69 of 100

Marks: +1, -0

Which of the following numbers willcompletely divide

(3^19 + 3^20 + 3^21 + 3^22)?

Solution:

3^19 + 3^20 + 3^21 + 3^22

= 3^19(1 + 3 + 3^2 + 3^3)

= 3^19 × 40

= 3^18 × 3 × 4 × 10

= 3^18 × 12 × 10

which is divisible by 12

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