Question
If (5x + 2)3 + (x – 1)3 + 8(3x
– 7)3 = 6(5x + 2) × (x – 1) × (3x – 7), then the value of (5x + 3) isÂSolution
If a + b + c = 0, then a3 + b3 + c3 = 3abc  Since, (5x + 2)3 + (x – 1)3 + 8(3x – 7)3 = (5x + 2)3 + (x – 1)3 + {2(3x – 7)3} = 3 × 2(3x – 7) × (x – 1) × (5x + 2) So, (5x + 2) + (x – 1) + 2(3x – 7) = 0 Or, 5x + 2 + x – 1 + 6x – 14 = 0 Or, 11x – 11 = 0 So, x = 1 So, 5x + 3 = 5 × 1 + 3 = 8
- Find the wrong number in the given number series.
25, 36, 29, 40, 33, 50 154Â Â Â Â 165Â Â Â Â 143Â Â Â Â 175Â Â Â Â Â 132Â Â Â Â Â 187
...5000, 4500, 3600, 2480, 1512, 756Â Â Â
Find the wrong number in the given number series,
125, 150, 250, 475, 875, 1500
- Find the wrong number in the given number series.
5, 8, 12, 19, 27, 39 768Â Â Â 2304Â Â Â 288Â Â Â 864Â Â Â 106Â Â Â 324
Find the wrong number in the given number series.
5, 6, 14, 45, 188, 925
120, 240, 80, 320, 60, 384
21 32 54 86 131 186
... 7    12     33    126    635  Â
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