Quant Exam > Quant Questions > A, B, C, D and E are five consecutive integer...
Start Learning for Free
A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A is
- a)Positive
- b)Negative
- 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...
To solve this problem, let's first understand the given information:
1. A, B, C, D, and E are five consecutive integers. This means that the numbers are in the order A, A+1, A+2, A+3, and A+4.
2. The average of these five numbers is less than 1/4th of A. This can be expressed as (A + A+1 + A+2 + A+3 + A+4)/5 < />
Now, let's solve the problem step by step:
Step 1: Simplify the average inequality equation
(A + A+1 + A+2 + A+3 + A+4)/5 < />
(5A + 10)/5 < />
5A + 10 < />
Step 2: Multiply both sides by 4 to eliminate the fraction
4(5A + 10) < />
20A + 40 < />
Step 3: Simplify the equation
20A + 40 < />
15A < />
A < />
A < />
Step 4: Analyze the value of A
Since A is an integer (as given in the problem), the value of A cannot be a fraction. Therefore, A must be a negative integer.
Step 5: Conclusion
Based on the analysis above, we can conclude that A must be negative.
Therefore, the correct answer is option 'A' - Negative.
1. A, B, C, D, and E are five consecutive integers. This means that the numbers are in the order A, A+1, A+2, A+3, and A+4.
2. The average of these five numbers is less than 1/4th of A. This can be expressed as (A + A+1 + A+2 + A+3 + A+4)/5 < />
Now, let's solve the problem step by step:
Step 1: Simplify the average inequality equation
(A + A+1 + A+2 + A+3 + A+4)/5 < />
(5A + 10)/5 < />
5A + 10 < />
Step 2: Multiply both sides by 4 to eliminate the fraction
4(5A + 10) < />
20A + 40 < />
Step 3: Simplify the equation
20A + 40 < />
15A < />
A < />
A < />
Step 4: Analyze the value of A
Since A is an integer (as given in the problem), the value of A cannot be a fraction. Therefore, A must be a negative integer.
Step 5: Conclusion
Based on the analysis above, we can conclude that A must be negative.
Therefore, the correct answer is option 'A' - Negative.
Community Answer
A, B, C, D and E are five consecutive integers and the average of thes...
Let five consecutive integers , A= n , B = n + 1 , C = n + 2 , D = n + 3 , E = n + 4 Since , n + n + 1+ n + 2 + n+ 3 + n + 4 /5 < n/4="" 5n="" +="" 10="" 5="" />< n/4="" n="" +="" 2="" />< n="" 2="" />< n/4="" -="" n="" 2="" />< -3n="" 8="" />< -="" 3n="" -8/3="" />< n="" n="" /> -8/3 n is great -8/3 So, n is positive Therefore , n is equal to A Hence , A is positive .
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer?
Question Description
A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer?.
A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A, B, C, D and E are five consecutive integers and the average of these five numbers is less than 1/4 th of A.Then A isa)Positiveb)Negativec)Evend)Data SufficientCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup