SATHEE: Quantitative Aptitude Ques 2043

Quantitative Aptitude Ques 2043

Question: The sum of 8 consecutive odd numbers is 656. Also, average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number? [Bank of Baroda (P0) 2011]

Options:

A) 165

B) 175

C) 163

D) 180

E) None of the above

Show Answer

Answer:

Correct Answer: C

Solution:

Here, let the first odd number be x. Then, 8 consecutive odd numbers are as $ x-8, $ $ x-6, $ $ x-4, $ $ x-2, $ $ x, $ $ x+2, $ $ x+4, $ $ x+6 $ Now, $ x-8+x-6+x-4+x-2+x+x $ $ +2+x+4+x+6=656 $

$ \Rightarrow $ $ 8x-8=656 $
$ \Rightarrow $ $ 8x=656+8 $

$ \Rightarrow $ $ 8x=664 $
$ \Rightarrow $ $ x=83 $ Smallest odd number $ =86-8=78 $ Now, let four consecutive even numbers be $ y-2, $ $ y, $ $ y+2 $ and $ y+4. $ Now, $ 4y+4=87\times 4 $
$ \Rightarrow $ $ 4y+4=348 $

$ \Rightarrow $ $ 4y=344 $
$ \Rightarrow $ $ y=86 $ Now, smallest even number $ =86-8=78 $ Second largest even number $ =88 $

$ \therefore $ Sum of both the number $ =75+88=163 $

Quantitative Aptitude Ques 2042

Quantitative Aptitude Ques 2044

Quantitative Aptitude Ques 2043

Question: The sum of 8 consecutive odd numbers is 656. Also, average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number? [Bank of Baroda (P0) 2011]

Options:

Answer:

Solution:

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