Answer :


A. For numbers 2,3,7 and 8, pattern is of 4 digits.


For numbers 4 and 9, pattern is of 2 digits.


For numbers 1,5,6 and 10, pattern is of 1 digit.


B. 1. Pattern in number 4 is of 2 digits, 4 and 6.


On dividing power of 4, that is 12, by 2 and checking the remainder , we can predict the one’s digit in 412



40 (on diving 12 by 2 we get remainder 0)


one’s digit is = 6 (second number out of 4 and 6)


2. Pattern in number 9 is of 2 digits, 9 and 1.


On dividing power of 9, that is 20, by 2 and checking the remainder , we can predict the one’s digit in 920



910 (on dividing 20 by 2 we get remainder 0)


one’s digit is = 1 (second number out of 9 and 1)


3. Pattern in number 3 is of 4 digits, 3,9,7 and 1.


On dividing power of 3, that is 17, by 4 and checking the remainder , we can predict the one’s digit in 317



31 (on dividing 17 by 4 we get remainder 1)


one’s digit is = 3 (first number out of 3,9,7 and 1)


4. Pattern in number 5 is of 1 digit, 5.


one’s digit is = 5


5. Pattern in number 10 is of 1 digit, 0.


one’s digit is = 0


C. 1. Pattern in number 1 is of 1 digit, 1.


one’s digit is = 1


2. Pattern in number 2 is of 4 digits, 2,4,8 and 6.


On dividing power of 12, that is 10, by 4 and checking the remainder , we can predict the one’s digit in 1210



122 (on dividing 10 by 4 we get remainder 2)


one’s digit is = 4 (second number out of 2,4,8 and 6)


3. Pattern in number 7 is of 4 digits,7,9,3 and 1.


On dividing power of 17, that is 21, by 4 and checking the remainder , we can predict the one’s digit in 1721



171 (on dividing 21 by 4 we get remainder 1)


one’s digit is = 7 (first number out of 7,9,3 and 1)


4. Pattern in number 9 is of 2 digits,9 and 1.


On dividing power of 29, that is 10, by 2 and checking the remainder , we can predict the one’s digit in 2910



290 (on dividing 10 by 2 we get remainder 0)


one’s digit is = 1 (last number out of 9 and 1)


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