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191. Find the sum of all two digit natural numbers which when divided by 3 yield 1 as remainder. 1605

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Ans. 13

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193. If m times the m^th term of an A .P. is equal to n times its n^thterm, find the (m + n)^th term of the A .P.

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194. In an A .P., the first term is 8, n^thterm is 33, and sum to first n terms is 123. Find n and d, the common difference.

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195. In an A .P., the first term is 25, n^thterm is –17 and sum to first n terms is 60. Find n and d, the common difference.

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196. In an A .P., the term is 22, n^th term is –11 and sum to first n terms is 66. Find n and d, the common difference.

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197. Find the sum of all two digit natural numbers which common divided by 7 yield 1 as remainders.

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198. Write the common difference of an A .P. whose nth term is 3n + 5.

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199. Find the middle term of the A .P. : 10, 7, 4...... (–62).

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200. For what value of p are 2p + 1, 13, 5p – 3, three consecutive terms of an A .P.

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