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InterviewSolution
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Find the square of the following numbers by Dvanda yoga method or Duplex process:(a) 53214(b) 31321 |
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Answer» (a) 532142 = Dvanda of 5 / Dvanda of 53 / Dvanda of 532 / Dvanda of 5321 / Dvanda of 53214 / Dvanda of 3214 / Dvanda of 214 / Dvanda of 14 / Dvanda of 4 = 52 / 2 x 5 x 3 / 2 x (2 x 5) + 32 / 2 x (5 x 1) + 2 (3 x 2) / 2 (5 x 4) + 2 (3 x 1) + 22 / 2 (3 x 4) + 2 (2 x 1) / 2 x (2 x 4) + 12 / 2 x 1 x 4 / 42 = 25 / 30 / 29 / 22 / 50 / 28 / 17 / 8 / 16 = 2831729796 (b) 313212 = Dvanda of 3 / Dvanda of 13 / Dvanda of 132 / Dvanda of 3132 / Dvanda of 31321 / Dvanda of 1321 / Dvanda of 321 / Dvanda of 21 / Dvanda of 1 = 32 / 2 x 1 x 3 / 2 (1 x 2) + 32 / 2 x (3 x 2) + 2 (1 x 3) / 2 (3 x 1) + 2 (1 x 2) + 32 / 2 (1 x 1) + 2 (3 x 2) / 2 x (3 x 1) + 22 / 2 x 2 x 1 / 12 = 9/6/13/18/19/14/10/4/1 = 981005041 |
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