search
Log In
5 votes
639 views
In a sequence of $12$ consecutive odd numbers, the sum of the first $5$ numbers is $425$. What is the sum of the last $5$ numbers in the sequence?
in Quantitative Aptitude 639 views

2 Answers

6 votes
 
Best answer

Let $a$ be the first odd number.
So the terms of sequence will be
$a, a+2, a+4, a+6, \dots,  a+20, a+22$

Sum of first $5$ terms  $= a + a+2 + a+4 + a+6 + a+8 = 5a+20 = 425$
We get, $5a = 405$
$\quad \implies a = 81$

Sum of last $5$ terms  $= a+22 + a+20 + a+18 + a+16 + a+14$
$\quad \quad \quad = 5a + 90$

Now, we have $a = 81.$ Substituting it we get,
Answer as $5\times 81 + 90 = 405 + 90 = 495$

Answer: 495


edited by
0 votes
495 is the answer

x+x+2+x+4+x+6+x+8=425 so x=81

last 5 digits will be x+14+x+16+x+!8+x+20+x+22=425
Answer:

Related questions

5 votes
2 answers
1
1.4k views
Find the next term in the sequence: 13M, 17Q, 19S,_______. 21W 21V 23W 23V
asked Mar 17, 2016 in Quantitative Aptitude makhdoom ghaya 1.4k views
3 votes
3 answers
2
807 views
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in $2012$. The expenditure on labour in $2012$ is ... $30$% and all other expenses increased by $20$%. What is the percentage increase in total cost for the company in $2013$?
asked Mar 17, 2016 in Quantitative Aptitude makhdoom ghaya 807 views
5 votes
4 answers
3
2.1k views
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers? $6666660$ $6666600$ $6666666$ $6666606$
asked Mar 17, 2016 in Quantitative Aptitude makhdoom ghaya 2.1k views
4 votes
3 answers
4
1.4k views
Industrial consumption of power doubled from $2000-2001$ to $2010-2011$. Find the annual rate of increase in percent assuming it to be uniform over the years. $5.6$ $7.2$ $10.0$ $12.2$
asked Mar 17, 2016 in Quantitative Aptitude makhdoom ghaya 1.4k views
...