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bhanu kushwaha

· started a discussion

· 1 Months ago

Very good question (Question:527436.0)

Please explain

Question:

The average of 8 consecutive odd numbers is 82, and the sum of 4 consecutive even numbers is 348. What is the sum of odd smallest number and even largest number?

Options:
A)

150

B)

147

C)

175

D)

165

Solution:

Ans: (d) 

Sum of 8 consecutive odd numbers = 656
consecutive odd numbers is in arithmetic progression with common difference = 2.
= n2[2a+(n−1)d]. 


First smallest odd number = 75 ---(1)

Sum of four consecutive even numbers  348

consecutive even numbers also is in arithmetic progression with common difference = 2. 


Even numbers are 84,86,88,90
Largest even number = 90 ---(2)

From(1) and (2), sum of smallest odd number and largest even number
= 75 + 90 = 165

Knowledge Expert

· commented

· 1 Months ago

Dear student
We have updated the detailed
solution ,please go through it.

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