If a^2bc = a^4b = 2025, what is the value of 2c + 2?

SSC CPO SI and ASI Model Paper 5

Question : 126 of 200

Marks: +1, -0

a^2bc = a^4b = 2025,

what is the value of 2c + 2?

Solution:

(2)

a^2bc = a^4b

⇔ c = a^2

2025 = 3 × 3 × 5 × 5 × 3× 3= 81 × 25
By comparing with

a^4b

, we get:

a = 3; b = 25 and c = a^2 = 9

Therefore, 2c + 2 = 2 × 9 + 2 = 20

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