Latest TCS Aptitude Question SOLUTION: how many odd and even numbers are there between 42 and 400?? Find the sum of odd numbers and the sum of even numbers!

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(#M40023694) TCS Logical Reasoning question Keep an EYE

how many odd and even numbers are there between 42 and 400??
Find the sum of odd numbers and the sum of even numbers!

Asked In TCS Karthika (10 years ago)

Unsolved Read Solution (7)

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Read Solution (7) :

Divya Srivastava  (10 years ago)

the odd numbers are in series 43, 45, ........, 399
as they r in A.P., 399=43+(n-1)*2
no. of odd numbers=179
sum=179*(43+399)/2
sum of odd numbers = 39559
Similarly for even numbers, 42, 44, ..........., 400
no. of even numbers = 180
sum of even numbers = 39780

Is this solution Helpfull? Yes (32) | No (4)  

Dipanjan Dasgupta  (10 years ago)

Total no. of numbers b/w 42 & 400=400-42+1=359.As the series is beginning with an even no. & ending with an even no. so number of even nos is more.So, there are (359+1)/2=180 even nos and rest 179 are odd nos.Now using the formula of sum of n terms in an AP[n/2(a+l)] we can can find the sum of the numbers.Sum of even terms is 39780 and that of odd terms is 39559.

Is this solution Helpfull? Yes (8) | No (3)  

abhishek  (9 years ago)

Odd numbers are from 43 to 399.
Number of odd numbers = l−ad+1=399−(43*2)+1=179
Their sum = n2(l + a) = 39559

Even numbers are from 44 to 398.
Number of even numbers = l−ad+1=398−442+1=178
Their sum = 178^2*(398+44) =39338

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Akanchha Raj  (10 years ago)

sum of odd terms=9559
sum of even terms=39780
no of odd terms=79
no of even terms=180

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Akanchha Raj  (10 years ago)

sorry no of odd terms is 179
and sum of odd no is 39559

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sandhya  (10 years ago)

hey i think he askd in between but not including 42 and 400?

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Rajashree Hazra  (10 years ago)

Sol: Odd numbers are from 43 to 399. Number of odd numbers = (l−a/d)+1=179
Their sum = n/2(l+a) = 39559

Even numbers are from 44 to 398. Number of even numbers = (l−a/d)+1=178
Their sum = 1782(398+44)=39338
here as the question says that number between 42 to 400 so we should take from 43 to 399 values..

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