Delhi Police Constable Exam Model Paper 8

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Question : 82 of 100

Marks: +1, -0

Find the value of

(125 × 125 + 130 × 125 + 130 × 130)/(130 × 130 × 130 – 125 × 125 × 125).

0.1
0.4
0.5
0.2

Solution:

Given:

(125 × 125 + 130 × 125 + 130 × 130)/(130 × 130 × 130 – 125 × 125 × 125)

Formula:

a^3– b^3= (a - b)(a^2+ b^2+ ab)

Calculation:

[(125)^2+ 130 × 125 + (130)^2]/[(130)^3– (125)^3]

⇒

[(125)^2+ 130 × 125 + (130)^2]/(130 – 125)[130^2+ 130 × 125 + 125^2]

⇒ 1

/(130 – 125)

⇒

1/5

⇒

0.2

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