Ques. For the following Cryptarithmetic find the answers to the below questions?

see url P O P M U T --------- S O I U G M T U U I R O ----------------- U U S M U U

1. |
Value of G + U + T ? |
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(a) 10 | (b) 12 | (c) 6 | (d) 9 |

2. |
Value of S + G ? |
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(a) 3 | (b) 9 | (c) 7 | (d) 8 |

3. |
Value of 2U ? |
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(a) 4 | (b) 6 | (c) 8 | (d) 2 |

It is evendent from row 2 that for multiplication U x P = U. So U cannot be 1. Also since, I + U = U. So I = 0. Now from the 10000th addition, 1 + G + (I)0 = A. So G = 1 and U = 2.

P O P M 2 T --------- S O 0 2 1 M T 2 2 0 R O ----------------- 2 2 S M 2 2 Simlarly from 2nd row of mul. 2 x P = 2, Also from first row of T x P = 2. So P should take 6, and T should take 7. (These are the only possibilities) If E= 6, then P x T = 6 x 7 = 42. So 4 carry over. Now 7 x O + 4 = 0. So O = 8.

6 8 6 M 2 7 --------- S 8 0 2 1 M 7 2 2 0 R 8 ----------------- 2 2 S M 2 2 Now S = 4 as 7 x 6 + 6 = 48. Also M = 3. R =5 This would be the solution

6 8 6 3 2 7 --------- S 8 0 2 1 3 7 2 2 0 5 8 ----------------- 2 2 4 3 2 2 G = 1, U = 2, T = 7, R = 5, S = 4, O = 8, E = 6