Inequalities Test

Result

Inequalities Test - 4

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Question 1
2 / -0.83

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

A
2^nd quadrant

B
3^rd quadrant

C
4^th quadrant

D
1^st quadrant

Solution

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.
Question 2
2 / -0.83

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

A
a <9

B
a <12

C
a <13

D
a <11

Solution

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)
Question 3
2 / -0.83

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

A
no solution

B
x <-1

C
-1

D
x >1

Solution

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
Question 4
2 / -0.83

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

A
x <4

B
x >4

C
x ≤4

D
x ≥4

Solution

3(2 - x) ≥2(1 - x)
6 - 3x ≥2 - 2x
4 ≥x
Question 5
2 / -0.83

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

A
No solution

B
-1

C
x <-1

D
x >1

Solution

x >1 and x >-1
Take two points 1,-1 on number line
Therefore x >1
Question 6
2 / -0.83

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.

A
9.6 to 14.8

B
7.6 and 16.8

C
9.6 to 16.8

D
14.8 to 16.8
Solution
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
Question 7
2 / -0.83

The graphical representation of x >2 on number line is

A

B

C

D

Solution

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.
Question 8
2 / -0.83

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

A

B

C

D
None of these

Solution
Question 9
2 / -0.83

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?

A
5 or 6

B
5

C
6

D
no one wins

Solution

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)
Question 10
2 / -0.83

The graphical solution of -1

A

B

C

D

Solution