Latest Others Aptitude Question SOLUTION: what is the sum of all even numbers between 99 and 301

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(#M40010784) OTHERS Numerical Ability question Keep an EYE

what is the sum of all even numbers between 99 and 301

Asked In Others krishnaprasad TATA (11 years ago)

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PARAG KAMRA  (11 years ago)

Ans is 20,200
as,we have sequence from 100,102,...,288,300.
so a=100,d=2,tn=300,so we have 101 elements,as per formula tn=a+(n-1)d.
and now sum=n/2(a+l)=101/2(100+300)=20200

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PARAG KAMRA  (11 years ago)

So if the smallest and largest integers are 100 and 300,the mean is 200
Next, the number of terms. Between 100 and 199, inclusive, for instance,
there are exactly 100 integers,50 of which are even. If we look at 100 to 200,
inclusive, there are 51 evens. By the same principle, between 100 and 299,
inclusive, there are exactly 200 integers, 100 of which are even. Include 300,
and there are 101.
Thus, there are 101 terms
sum, then, is:
200(101) = 20200(ans)

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avinash shashikant sindkar  (10 years ago)

n*(n+1)/2
so n=301-99=202
202*(202+1)/2
202*(203)/2=20503

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