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How many numbers of two digits are divisible by 6 ?

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Given below are two pairs of statements. Combine these two statements using if and only if : p : If the sum of digits of a number is divisible by 3, then the number is divisible by 3. q : If a number is divisible by 3, then the sum of its digits is divisible by 3.

MBD-ARITHMETIC PROGRESSION-EXERCISE
  1. Find the 20th term from the end of the following arithmetic progressio...

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  2. Find the 20th term from the end of the following arithmetic progressio...

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  3. How many numbers of two digits are divisible by 6 ?

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  4. Which term of the sequence 24, 23 1/4, 22 1/2, 21 3/4, ….. is the firs...

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  5. How many terms are there in the A.P. 3, 7, 11..... 407 ? Also find its...

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  6. Find the 12^(th) term from the end of the following A.P. ,- 3, 8, 13,…...

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  7. Find the 12^(th) term from the end of the following A.P. ,- 1, 4, 7, ...

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  8. The third term of an A.P. is 25 and the tenth term is -3. Find the fir...

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  9. Determine the 2nd term of an A.P. whose 6^(th) term is 12 and 8^(th) ...

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  10. The 4th term of an A.P. is equal to 3 times the first term and 7^(th) ...

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  11. How many number of two digits are divisible by 7 ?

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  12. How many numbers between 10 and 200 are exactly divisible by 7 ?

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  13. Prove that a - 5b, a - b and a + 3b are consecutive term of an A.P.

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  14. Which term of the A.P. 3, 5, 7, .... is 43?

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  15. Which term of the A.P 2, 8, 14, .... will be 126 more than its 15th te...

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  16. Find the common difference of the A.P. for which 18^(th) term is 3 mor...

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  17. If six times the sixth term of an A.P. is equal to nine times the nint...

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  18. Which term of the sequence 17, 16 1/5 15 2/5 ,…... is the first negati...

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  19. In an A.P. the 24^(th) term is twice the 10^(th) term. Prove that 72n...

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  20. The ratio of 12^(th) to the 15^(th) term of an A.P. in 19 : 24. Find t...

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