Solve 5 9 3 1 8 3 4 8 3 3 times 5 9 times 1 8 times 4 8 5 9 2 1 8 2 4 8 2 5 9 times 1 8 1 8 ti...........

Quantitative Aptitude ( CCS) Simplification

Solve ((5.9)³ + (1.8)³ + (4.8)³- 3 × 5.9 × 1.8 × 4.8)/((5.9)² + (1.8)² + (4.8)² -5.9 × 1.8 - 1.8 × 4.8 - 4.8 × 5.9)

16.5

14.5

12.5

10.5

We know that,
(a³ + b³ + c³ - 3abc)/(a² + b² + c² – ab – bc - ca) = (a + b + c)
Here, a = 5.9, b = 1.8, c = 4.8

((5.9)³+ (1.8)³+ (4.8)³- 3 × 5.9 × 1.8 × 4.8)/((5.9)²+ (1.8)²+ (4.8)²-5.9 × 1.8 - 1.8 × 4.8 - 4.8 × 5.9)

= (5.9 + 1.8 + 4.8)((5.9)²+ (1.8)²+ (4.8)²-5.9 × 1.8 - 1.8 × 4.8 - 4.8 × 5.9)/((5.9)²+ (1.8)²+ (4.8)²-5.9 × 1.8 - 1.8 × 4.8 - 4.8 × 5.9)

= (5.9 + 1.8 + 4.8)

= 12.5

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