CA Foundation Exam > CA Foundation Questions > If (x-16)2≥0 & x ∈ R; then which ...
Start Learning for Free
If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?
- a)x<16
- b)x=16
- c)16≤x≤∝
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If (x-16)2≥0 & x ∈ R; then which of the following is defin...
Consider each option.
Option 1: If x<16i.e. if x=15; the expression is (15-16)2⇒(-1)2=1≥0. Hence the expression is true for x≤16 also. Hence, option 1 can be eliminated.
Option 2: If x=16 as in the above case; the expression holds true. Hence, option 2 can also be eliminated.
Option 3:if we take the value of x other than these specified in the range; i.e. x=20; the expression is (20-16)2=42=16≥0.i.e.
it holds true. Hence, option 3 can be eliminated.
Option 1: If x<16i.e. if x=15; the expression is (15-16)2⇒(-1)2=1≥0. Hence the expression is true for x≤16 also. Hence, option 1 can be eliminated.
Option 2: If x=16 as in the above case; the expression holds true. Hence, option 2 can also be eliminated.
Option 3:if we take the value of x other than these specified in the range; i.e. x=20; the expression is (20-16)2=42=16≥0.i.e.
it holds true. Hence, option 3 can be eliminated.
Most Upvoted Answer
If (x-16)2≥0 & x ∈ R; then which of the following is defin...
Given Inequality:
(x-16)^2 ≥ 0
Explanation:
When a square of a real number is greater than or equal to zero, it means the square is either zero or positive.
Analysis:
- The square of any real number is always greater than or equal to zero.
- The square of a real number is zero only when the number itself is zero.
Conclusion:
Therefore, in this case:
- x-16 = 0
- x = 16
Definitely True Statement:
Thus, the statement "x = 16" is definitely true in this scenario.
Final Answer:
Therefore, the correct answer is option 'B' which states x=16.
(x-16)^2 ≥ 0
Explanation:
When a square of a real number is greater than or equal to zero, it means the square is either zero or positive.
Analysis:
- The square of any real number is always greater than or equal to zero.
- The square of a real number is zero only when the number itself is zero.
Conclusion:
Therefore, in this case:
- x-16 = 0
- x = 16
Definitely True Statement:
Thus, the statement "x = 16" is definitely true in this scenario.
Final Answer:
Therefore, the correct answer is option 'B' which states x=16.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If (x-16)2≥0 & x ∈ R; then which of the following is definitely true?a)x<16b)x=16c)16≤x≤∝d)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
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