If x is real number | Quantitative Aptitude – CAT - Algebra – Logarithm
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You may also find remaining question solution of CAT 2019, slot 2 by searching the question in the search bar.
The question below is from previous year CAT question from CAT 2019 exam comes from sub-section Geometry: If x is real number.
Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:
CAT 2019 – Slot -2-Quantitative Aptitude- Question 2 -If x is real number
Q. 2: If x is real number, then 
is a real number if and only if?
1. 1≤x≤2
2. -3≤x≤3
3. -1≤x≤3
4. 1≤x≤3
As we know that any value under square root must be greater than 0 . So
Log(base e) 4x-x^2/3 ≥ 0
So, 4x-x^2/3≥ 1
x^2-4x +3 ≤ 0
On solving, we get
S belongs to [1,3]
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