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Simplify :\( \Large \frac{0.0347 x 0.0347 x 0.0347 + 0.9653^{3}}{0.0347^{2}- (0.0347)(0.9653) + (0.9653^{2})} \)


A) 0.9306

B) 1.0009

C) 1.005

D) 1

E) None of these

Correct Answer:
D) 1

Description for Correct answer:
a = 0.0347, b = 0.9653

= \( \Large \frac{0.037 x 0.0347 x 0.0347 + 0.9653}{0.0347 - (0.347) (0.09653) + ( 0.9653)} \)

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

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

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

= a + b = 0.0347 + 0.9653 = 1

Part of solved SBI JuniorAssociate-5 questions and answers : Exams >> Bank Exams >> SBI JuniorAssociate-5




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