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21. A chess board of 10*10 is there. To change the color from black to white or vice versa “control+R” is used. Find the min number of times with which the entire board can be made in to a single color.

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20. A valid ISBN code consists of 10 digits like ISBNa1a2a3a4a5a6a7a8a9a10 such that 10.a1+9.a2+8a3+7a4+6a5+5a6+4a7+3a8+2a9+1a10 must be divisible by 11.
ISBN0111200091 is a valid code. Find the number of pairs of (a5, a9) other than (2, 9) such that the given ISBN is a valid code.
22. A die which has 8 faces is rolled, then the probability that the sum of the numbers on two faces is greater than 36 is?