Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

$\frac{775×775×775+225×225×225}{77.5×77.5+22.5×22.5-77.5×22.5}$ is equal to :

Options:

100

10000

100000

0.1

Correct Answer:

100000

Explanation:

a3 + b3 = ( a + b ) ( a2 + b2 - ab )

( a + b ) = \(\frac{a^3 + b^3}{a^2 + b^2 - ab }\)

We can use this method =

\(\frac{1}{0.01}\) = 100, Take 100 as common then write in this form

\(\frac{ a^3 + b^3}{ a^2 + b^2 - ab }\)  = a + b

100(775 + 225) = 100000