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The 10th common term between the series 3+7+11+.. and 1+6+11+… is

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a
191
b
193
c
219
d
198

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detailed solution

Correct option is A

The common differences of the two series are 4 and 5 respectively.   The series of common terms will form an A.P with common difference 20 and first term 11.  ( l.c.m of 4 and 5 is 20 , which is the common difference of the required A.P)T10=a+(n-1)d=11+(10-1)×20=191


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