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ricky_chd18



Joined: 16 Sep 2005
Posts: 1

PostPosted: Wed Oct 05, 2005 6:02 pm    Post subject: best strategy to solve this Reply with quote

hi can anybody plz tell me wat is the best strategy for solving questions like:

how many terms will b common in the given 2 series .1)2 ,5, 8,11......till 100 terms.2)7, 9, 11......till 100 terms.???????????
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tpsthegreat



Joined: 30 Jun 2005
Posts: 19
Location: ahmedabad

PostPosted: Sat Oct 08, 2005 10:39 am    Post subject: Reply with quote

hi,
the key thing here is to find the first common term between the 2 series. here first common term is 11. now take the LCM of the common difference of the 2 series which is 2*3=6 in this case.

now in first series 11 is the 4th term. and every alternate term after that will be common term with the other series(bcoz difference of 6 is required). so there will be 49 such common terms in the between the 2 series
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shaji
Serious about CAT


Joined: 22 May 2005
Posts: 71
Location: UK

PostPosted: Sat Oct 08, 2005 1:51 pm    Post subject: Reply with quote

tpsthegreat wrote:
hi,
the key thing here is to find the first common term between the 2 series. here first common term is 11. now take the LCM of the common difference of the 2 series which is 2*3=6 in this case.

now in first series 11 is the 4th term. and every alternate term after that will be common term with the other series(bcoz difference of 6 is required). so there will be 49 such common terms in the between the 2 series


Hi;

The common series is an A.P. with CD=6 and first term=11

Therfore the 33rd term is: 203.

The 100th term of 2, 5,8,11 ...is 299 and for the other series is 205.

So there will be 33 common terms.

Regards;

Shaji
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