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Find the number of odd integers between ...

Find the number of odd integers between 2 and 100 which are divisible by 3.

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The correct Answer is:
17
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Suppose three digit numbers A28 , 3B9 and 52C , where A,B and C are integers between 0 and 9 are divisble by a fixed integer K, prove that the determinant |{:(A,3,6),(8,9,C),(2,B,2):}| is also divisble by same integer K

KUMAR PRAKASHAN-ARITHMETIC PROGRESSION-TEST YOUR SKILLS
  1. How many three digit numbers are such that when divided by 7, leaves a...

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  2. If the 9th term of an AP is zero, prove that its 29th term is twice it...

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  3. Find the number of odd integers between 2 and 100 which are divisible ...

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  4. The sum of 5th and 7th terms of an AP is 52 and the 10th term is 46 . ...

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  5. Find the 20th term of the AP whose 3rd term is 7 and the 7 term exceed...

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  6. The first and the last term of an AP are 7 and 49 respectively. If th...

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  7. Find : Sum of those integers between 1 and 500 which are multiples...

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  8. Find : Sum of those integers from 1 to 500 which are multiples of ...

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  9. Find : Sum of those integers from 1 to 500 which are multiples of ...

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  10. The sum of first seven terms of an AP is 182. If its 4th and the 17th ...

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  11. If the sum of first n terms of an AP is 1/2 (3n^(2) + 7n) , then find ...

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  12. If Sn denotes the sum of first n terms of an AP, prove that S(12) = 3...

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  13. The ratio of the sum of first n terms of two APs is (7n + 1): (4n + 27...

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  14. A man repays a loan of Rs 3250 by paying Rs 20 in the first month and ...

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  15. If the 12th term of an AP is -13 and the sum of its first four terms i...

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  16. Kartikay repays his total loan of Rs 1,18,000 by repaying every month....

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  17. The 9th term of an AP is equal to 6 times the second term. If its 5th ...

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  18. The sum of the first 7 terms of an AP is 63 and the sum of its next 7 ...

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  19. Which term of the AP 75, 72, 69, ... is its first negative term ? If i...

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  20. Three numbers in AP have the sum 18 and the sum of their squares is 18...

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