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A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4th of A. Then A is
- a)Negative
- b)Positive
- c)Even
- d)Data Sufficient
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A, B, C, D and E are five consecutive integers and the average of thes...
As a is less than a negative number, so 'a' is also a negative number. Hence option C is correct.
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Community Answer
A, B, C, D and E are five consecutive integers and the average of thes...
1stly, it is given that a, b, c, d and e are 5 consecutive integers. So,
b=a+1, c= a+2, d=a+3, e=a+4
2ndly, it is given that
(a+b+c+d+e)/5<a/4
=>{a+a+1+a+2+a+3+a+4)/5<a/4
=>4(5a+10)<5a
=>20a+40<5a
=>20a-5a<-40
=>15a<-40
=>a<-40/15
As a is less than a negative number, so 'a' is also a negative number.
b=a+1, c= a+2, d=a+3, e=a+4
2ndly, it is given that
(a+b+c+d+e)/5<a/4
=>{a+a+1+a+2+a+3+a+4)/5<a/4
=>4(5a+10)<5a
=>20a+40<5a
=>20a-5a<-40
=>15a<-40
=>a<-40/15
As a is less than a negative number, so 'a' is also a negative number.
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