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Question

The number of terms common between the two series 2 + 5 + 8 + …up to 50 terms and the series 3 + 5 + 7 + 9 + ….up to 60 terms.


Your Answer
A
24
Your Answer
B
26
Your Answer
C
25
Correct Answer
D
None of these

Solution

The correct option is C None of these
Let mth term of first A.P. be equal to the nth term of the second A.P. then
2 , 5 , 8 ,….50 terms series 1
3 , 5 ,7 , …., 60 terms series 2
Common series 5 , 11, 17 , ….., 119
40th term of series 1=59th term of series 2 = 119 = last term of common series
an=5+(n1)d119+1=6nn=20.
Number of common terms is 20.

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