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Test: Linear Inequalities In One Variable And Two Variables


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10 Questions MCQ Test Mathematics (Maths) Class 11 | Test: Linear Inequalities In One Variable And Two Variables

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Test: Linear Inequalities In One Variable And Two Variables - Question 1

What is the region represented by x > 0 and y < 0?

Detailed Solution for Test: Linear Inequalities In One Variable And Two Variables - Question 1

 If x >0 then x will be positive and y less than 0 means it gets negative value
that means it lies in 4th quadrant. 

Test: Linear Inequalities In One Variable And Two Variables - Question 2

By solving inequality 3(a - 6) < 4 + a, answer will be

Detailed Solution for Test: Linear Inequalities In One Variable And Two Variables - Question 2

Numbers obtained in three throws are 5,3 and 6
Let the number obtained in fourth throw be x
Now, Sum > 20
5 + 3 + 6 + x > 20
14 + x > 20
x > 6(never wins)

Test: Linear Inequalities In One Variable And Two Variables - Question 3

Find the solution for the pair of inequations x > 1 and x < -1

Detailed Solution for Test: Linear Inequalities In One Variable And Two Variables - Question 3

x > 1 means x is greater than 1 in this equation the values of x can be 2,3,4,5.............∞
x < -1 means is less than -1 therefore values of x can be -2, -3, -4, -5............ -∞
So no common point for x
Hence there will be no solution

Test: Linear Inequalities In One Variable And Two Variables - Question 4

The solution of the inequality 3(2-x)≥2(1-x) for real x is :

Detailed Solution for Test: Linear Inequalities In One Variable And Two Variables - Question 4

3(2 - x) ≥ 2(1 - x)
6 - 3x ≥ 2 - 2x
4 ≥ x

Test: Linear Inequalities In One Variable And Two Variables - Question 5

Find the solution for the pair of solution x > 1 and x > -1

Detailed Solution for Test: Linear Inequalities In One Variable And Two Variables - Question 5

x > 1 and x > -1
Take two points 1,-1 on number line
Therefore x > 1

Test: Linear Inequalities In One Variable And Two Variables - Question 6

IQ of a person is given by the formula where MA is mental age and CA is the chronological age. If   for a group of 12 years old children, find the range of their mental age.

Detailed Solution for Test: Linear Inequalities In One Variable And Two Variables - Question 6

IQ = (MA*100)/CA
and 80 ≤ IQ ≤ 140
80 ≤ (MA*100)/CA ≤ 140
80 ≤ (MA*100)/12 ≤ 140
960 ≤ (MA*100) ≤ 1680
9.6 ≤ MA ≤ 16.8

Test: Linear Inequalities In One Variable And Two Variables - Question 7

The graphical representation of x > 2 on number line is

Detailed Solution for Test: Linear Inequalities In One Variable And Two Variables - Question 7

x>2, the value of x is greater than 2. the value goes till infinity.
if X is equal or greater than 2 then we use solid dot, but it is only greater than 2
so the option c is correct.

Test: Linear Inequalities In One Variable And Two Variables - Question 8

The graphical representation of x ≤ -3 and x ≥ 3 on number line is

Test: Linear Inequalities In One Variable And Two Variables - Question 9

In a game a person wins a TV if in four throws of a dice he get sum greater than 20 .In three throws he got numbers as 5,3,6. What should be his fourth throw so that he wins a TV?

Detailed Solution for Test: Linear Inequalities In One Variable And Two Variables - Question 9

Numbers obtained in three throws are 3, 5 and 6.
Let the number obtained in fourth throw be x.
Now, Sum > 20
=> 5 + 3 + 6 + x > 20
=> 14 + x > 20
=> x > 20 – 14
=> x > 6 (no one wins)

Test: Linear Inequalities In One Variable And Two Variables - Question 10

The graphical solution of -1 < x < 2 on number line is

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