Latest Wipro Aptitude Question SOLUTION: Two series are 16,21,26 ?. and 17,21,25 ?.. What is the sum of first hundred common numbers

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Two series are 16,21,26 ?. and 17,21,25 ?..
What is the sum of first hundred common numbers

Asked In Wipro putsala devi vijaya (10 years ago)

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VASUDEVAN.V  (10 years ago)

the first series continues as 16,21,26,31,36,41,46,51,56,61,66,71,76,81, etc and thew second series goes as 17,21,25,29,33,37,41,45,49,53,57,61,65,69,73,77,81,etc.. here the common terms are 21,41,61,81 and so on.. therefore
21+41+61+81+....... till 100th term,
so the 100th term is found by,
t(100th term)=a+(n-1)d=21+(100-1)20=2001 , which is the 100th term
now 21+41+61+81+.....+2001 = 100/2(21+2001)=10110, which is the required answer

Is this solution Helpfull? Yes (25) | No (10)  

akshayaa pandian  (10 years ago)

the ans is 101100
first series 16,21,26.. with difference 5
second series 17,21,25.. with difference 4
5 and 4 LCM is 20.. thus the series is 21,41,61..
sum= (n/2)*(2a+(n-1)d)
=(100/2)*(42+(99*20))
=50*2022
=101100

Is this solution Helpfull? Yes (12) | No   

Sneha  (10 years ago)

first series: 16,21,26,31,36,41,46,51,56,61,66,71,76,81, etc and
second series: 17,21,25,29,33,37,41,45,49,53,57,61,65,69,73,77,81,etc..
here the common terms are 21,41,61,81 and so on..
21+41+61+81+....... till 100th term,
so the 100th term is found by,
t(100th term)=a+(n-1)d=21+(100-1)20=2001 =>100th term
now 21+41+61+81+.....+2001 = 100/2(21+2001)=101110

Is this solution Helpfull? Yes (3) | No (4)  

Avinash Kumar  (10 years ago)

the common numbers is 21,41,61,81...and answer is 204

Is this solution Helpfull? Yes | No (7)  

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