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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - JEE MCQ


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30 Questions MCQ Test - Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1)

Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) for JEE 2024 is part of JEE preparation. The Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) questions and answers have been prepared according to the JEE exam syllabus.The Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) below.
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 1
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If 100 + x < 41 – 6x < 121 + x then 

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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 2
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 then x is equal to 

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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 3
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The set of real values of x for which 

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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 4
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The solution set of |x2 + x| = x2 + x is given by
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 5
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 6
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Find the value(s) of x which satisfy 
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 7
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If x ∈ R, the solution set of the inequation 4–x + 0.5 – 7. 2–x – 4 < 0 is equal to 
Detailed Solution for Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 7

2(2–x)2 – 7(2–x) – 4 < 0
⇒ (2.2–x + 1) (2–x – 4) < 0
⇒ 2–x < 22 ⇒ x > – 2

Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 8
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The solution set of the inequality 
Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 9
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Set of values of x which satisfies 
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The given inequation is equivalent to (x – 2)2(x + 2)(x –1)(x – 6) > 0 when x ≠ 1, 6.

Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 10
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If 3x+2 - 9-1/ x> 0 , then the interval of x can be
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 11
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If log2x + logx2 = 10/3 and log2y + logy2 = 10/3 then the value of x + y (where x ≠ y)      
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When x ≠ y then x + y = 8 + 21/3 . 

Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 12
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the  complete   solution  set of values  of x is  
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 13
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How many roots of the following equation 3|x| (2- | x |) = 0 has
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31x1 2 - 1x1)= 1
3|x| > 0.
So |x| = 2
x = ± 2 ;

Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 14
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If x satisfies |x2 – 3x + 2| + |x – 1| = x – 3, then 
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|x2 – 3x + 2| + |x – 1| = x – 3
⇒ x – 3 > 0  ⇒ x > 3
∴ |x2 – 3x + 2| + |x – 1| = x – 3
⇒ x2 – 3x + 2 + x – 1 = x – 3
⇒ x2 – 3x + 4 = 0
Discriminant < 0
∴ it has no real solutions. 

Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 15
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If a > 0, then 
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 16
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|2x - 3| < |x + 5|,  then x belongs to : 
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We have , |2x - 3| < |x + 5|


Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 17
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The solution set of the equation
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 18
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If a = log1218, b = log2454, then the value of ab + 5(a – b) is
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 19
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If |x - 1|< 5 and |x| >2 . Then x is equal to 
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 20
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Greatest negative integral value of x satisfying |4x + 3| = |7x - 1| - 3x - 4|
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Greatest   negative   integral values of x satisfying the equation is – 1 

Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 21
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The integral value of x ∈ (–π, π) satisfying the equation |x2 -1+cosx| = |x2 - 1| + |cos x| can be
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∴ (x2 –1) cos x > 0
⇒ x2 – 1 > 0 and cos x > 0 or x2 – 1 < 0 and cos x < 0

Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 22
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 23
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The set of values of x satisfying the inequality (x – 1)7 (3 – x)5 (x – 2)4 > 0 is 
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 24
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The set of values of x satisfying the inequality 
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 25
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If P and Q are sum and product respectively of all real values of x satisfying the equation 
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 26
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If log2 x + log2 y > 6 , then the least value of (x + y) is :
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 27
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If log2 |4 - 5x| > 2 . Then complete solution set is equal to
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 28
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If log72 = m, then log4928 is equal to 
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Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 29
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Maximum value of log5 (3x + 4y) , if x2 + y2 = 25 is
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Since x2 + y2 = 25 ⇒ x = 5 cos θ and y = 5 sin θ
So, therefore, log5 (3x + 4y) = log5 (15cosθ + 20sin θ)

Fundamental Of Algebraic Expression MCQ (With Solution) - 3 (Competition Level 1) - Question 30
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The value of x satisfying 
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