Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

1.

If x-1>-x+7 then which is true?(a) x>4(b) x2(d) x

Answer» CORRECT answer is (a) x>4

To explain: x-1>-x+7

=>2X>8 => x>4.
Discussion
2.

x>5 is _____________________(a) double inequality(b) quadratic inequality(c) numerical inequality(d) literal inequalityI had been asked this question in an interview for job.My question is based upon Inequalities topic in chapter Linear Inequalities of Mathematics – Class 11

Answer» CORRECT answer is (d) literal inequality

For explanation: SINCE a variable ‘x’ is COMPARED with number ‘5’ with inequality sign so it is called literal inequality.
Discussion
3.

A solution is to be kept between 77° F and 86° F. What is the range in temperature in degree Celsius (C) if the Celsius / Fahrenheit (F) conversion formula is given by F = 9/5 C + 32°?(a) [15°, 20°](b) [20°, 25°](c) [25°, 30°](d) [30°, 35°]This question was addressed to me during an online interview.This intriguing question originated from Graphical Solution of Linear Variable in Two Variables in chapter Linear Inequalities of Mathematics – Class 11

Answer»

Correct answer is (c) [25°, 30°]

To explain I WOULD say: F = 9/5 C + 32°

C=(F-32°)*5/9

77° ≤ F ≤ 86°

=> 77°-32° ≤ F-32° ≤ 86° -32°

=> 45° ≤ F-32° ≤ 54°

=>45O*5/9 ≤ (F-32°) *5/9 ≤ 54°*5/9

=>25° ≤ C ≤ 30°.
Discussion
4.

Rahul obtained 20 and 25 marks in first two tests. Find the minimum marks he should get in the third test to have an average of at least 30 marks.(a) 60(b) 35(c) 180(d) 45This question was addressed to me during a job interview.I would like to ask this question from Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation in division Linear Inequalities of Mathematics – Class 11

Answer»

Right answer is (d) 45

Explanation: Average is at least 30 marks.

Let x be the marks in 3^rd TEST.

Average = (20+25+x)/3 ≥30

=>45+x≥90 => x≥90-45 => x≥45.

Minimum marks in 3^rd test should be 45.
Discussion
5.

If 2x+1 > 5 then which is true?(a) x>4(b) x2(d) x

Answer» CORRECT option is (C) x>2

The best explanation: 2X+1>5

=>2x>5-1

=>2x>4 => x>2.
Discussion
6.

ax^2+bx+c > 0 is _____________________(a) double inequality(b) quadratic inequality(c) numerical inequality(d) linear inequalityThis question was addressed to me in exam.The query is from Inequalities in division Linear Inequalities of Mathematics – Class 11

Answer»

Correct answer is (B) quadratic inequality

To explain I would say: Since it has highest POWER of X ‘2’ and has inequality SIGN so, it is called quadratic inequality.

It is not numerical inequality as it does not have numbers on both sides of inequality.

It does not have two inequality signs so it is not double inequality.
Discussion
7.

If x>5 then 2x>10 is true or not?(a) True(b) FalseI had been asked this question in semester exam.My enquiry is from Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation topic in chapter Linear Inequalities of Mathematics – Class 11

Answer» RIGHT option is (a) True

To explain: We can multiply a positive NUMBER on both sides of inequality WITHOUT any change in inequality SIGN. So, if x>5 multiplying 2 on both sides 2x>10.
Discussion
8.

Inequations involved in the given region are____________(a) 2x+y≥6, x≥0, y≥0(b) 2x+y>6, x≥0, y≥0(c) 2x+y

Answer»

Right option is (d) 2x+y≤6, x≥0, y≥0

To EXPLAIN I WOULD SAY: Since region INVOLVES 1^st quadrant so x≥0, y≥0.

Two points on line are (0,6) and (3,0).

(y-6)/(0-6) = (x-0)/(3-0)

=>(y-6)/(-6) = x/3

=>y-6=-2x => 2x+y=6

2x+y≤6 since (0,0) should ALSO satisfy.

So, 2x+y≤6, x≥0, y≥0.
Discussion
9.

If x>7 then which is impossible?(a) x>4(b) x9(d) x

Answer»

Right choice is (B) X<6

Easy EXPLANATION: x>7 and 7>4 => x>7>4 => x>4.

If x>7 then x cannot be less than 6.

If x=11 then x>7 and x>9.

If x=11 then x>7 and x<14.
Discussion
10.

7>5 is ______________________(a) linear inequality(b) quadratic inequality(c) numerical inequality(d) literal inequalityI have been asked this question during an interview for a job.My question is taken from Inequalities topic in chapter Linear Inequalities of Mathematics – Class 11

Answer» CORRECT choice is (c) numerical inequality

For explanation: SINCE here numbers are compared with inequality SIGN so, it is called numerical inequality.
Discussion
11.

y

Answer»

Right choice is (b) below DOTTED line y=-2

The BEST explanation: y<-2 does not SATISFY (0,0) so, region is below y = -2.

Since only inequality sign GIVEN, so dotted line y = -2.
Discussion
12.

The region containing all the solutions of an inequality is called solution region.(a) True(b) FalseThe question was asked during a job interview.Origin of the question is Graphical Solution of Linear Variable in Two Variables in division Linear Inequalities of Mathematics – Class 11

Answer»

Correct choice is (a) True

The BEST explanation: When the INEQUALITIES are plotted on graph, the region CONTAINING all the solutions of an inequality is CALLED the solution region.
Discussion
13.

If x>7 then -x>-7 is ___________(a) possible(b) certainly false(c) certainly true(d) depend on xI have been asked this question during an online interview.My question is taken from Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation in section Linear Inequalities of Mathematics – Class 11

Answer»

Correct choice is (B) CERTAINLY false

To explain I WOULD say: If we multiply by negative number on both sides of inequality then sign of inequality will change i.e. if x>7 then (-1) x < (-1)7 => -x<-7.
Discussion
14.

If x is a whole number and 10x≤50 then find solution set of x.(a) {0,1,2,3,4,5}(b) {1,2,3,4,5}(c) {1,2,3,4}(d) {0,1,2,3,4}I had been asked this question by my school teacher while I was bunking the class.I'm obligated to ask this question of Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation topic in division Linear Inequalities of Mathematics – Class 11

Answer»

Right CHOICE is (a) {0,1,2,3,4,5}

EXPLANATION: 10x≤50

Dividing by 10 on both sides, X ≤ (50/10) => x≤5

Since x is a whole NUMBER so x = 0,1,2,3,4,5.
Discussion
15.

If x is a natural number and 20x≤100 then find solution set of x.(a) {0,1,2,3,4,5}(b) {1,2,3,4,5}(c) {1,2,3,4}(d) {0,1,2,3,4}The question was posed to me during an interview.The origin of the question is Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation topic in section Linear Inequalities of Mathematics – Class 11

Answer»

The correct answer is (b) {1,2,3,4,5}

The EXPLANATION: 20x≤100

Dividing by 20 on both SIDES, x ≤ (100/20) => x≤5

Since x is a NATURAL NUMBER so x = 1,2,3,4,5.
Discussion
16.

If Ram has x rupees and he pay 40 rupees to shopkeeper then find range of x if amount of money left with Ram is at most 10 rupees is given by inequation __________________(a) x ≥ 10(b) x ≤ 10(c) x ≤ 50(d) x ≥ 50The question was asked in class test.The above asked question is from Inequalities in portion Linear Inequalities of Mathematics – Class 11

Answer»

The CORRECT choice is (c) x ≤ 50

Explanation: AMOUNT LEFT is at most 10 RUPEES i.e. amount left ≤ 10.

x-40 ≤ 10 => x ≤ 50.
Discussion
17.

If Ram has x rupees and he pay 40 rupees to shopkeeper then find range of x if amount of money left with Ram is at least 10 rupees is given by inequation __________________(a) x ≥ 10(b) x ≤ 10(c) x ≤ 50(d) x ≥ 50This question was addressed to me in an interview for internship.The question is from Inequalities topic in chapter Linear Inequalities of Mathematics – Class 11

Answer» CORRECT ANSWER is (d) x ≥ 50

The explanation is: Amount left is at least 10 RUPEES i.e. amount left ≥ 10.

x-40 ≥ 10 => x ≥ 50.
Discussion
18.

ax + b > 0 is _____________________(a) double inequality(b) quadratic inequality(c) numerical inequality(d) linear inequalityI have been asked this question by my school teacher while I was bunking the class.My question is from Inequalities topic in section Linear Inequalities of Mathematics – Class 11

Answer» CORRECT option is (d) linear inequality

For explanation: SINCE it has highest power of x ‘1’ and has inequality sign so, it is called linear inequality.

It is not NUMERICAL inequality as it does not have numbers on both SIDES of inequality.

It does not have two inequality SIGNS so it is not double inequality.
Discussion
19.

3x-6 ≥0 are____________(a) right side with dotted x=2(b) left side with dotted x=2(c) right side with complete line x=2(d) left side with complete line x=2I had been asked this question in quiz.The question is from Graphical Solution of Linear Variable in Two Variables in division Linear Inequalities of Mathematics – Class 11

Answer»

Correct option is (c) right side with COMPLETE line x=2

The explanation is: 3x-6 ≥ 0 => x ≥ 2.

(0,0) does not SATISFY TE equation so region is right side of x=2 with complete line x=2 due to presence of equality sign along with inequality sign.
Discussion
20.

2x+y>5. Which of the following will satisfy the given equation?(a) (1,1)(b) (1,2)(c) (2,1)(d) (2,2)This question was addressed to me by my school teacher while I was bunking the class.I'd like to ask this question from Graphical Solution of Linear Variable in Two Variables topic in portion Linear Inequalities of Mathematics – Class 11

Answer»

Right option is (d) (2,2)

The EXPLANATION is: 2x+y>5

(1,1) x=1 and y=1 gives 2(1)+1>5 =>3>5 which is FALSE.

(1,2) x=1 and y=2 gives 2(1)+2>5 =>4>5 which is false.

(2,1) x=2 and y=1 gives 2(2)+1>5 =>5>5 which is false.

(2,2) x=2 and y=2 gives 2(2)+2>5 =>6>5 which is true.
Discussion
21.

If x>7 then x+2>9 is true?(a) True(b) FalseI have been asked this question in an international level competition.Origin of the question is Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation in chapter Linear Inequalities of Mathematics – Class 11

Answer»

Right answer is (a) True

The BEST explanation: We can add equal number on both sides of INEQUALITY so

if x>7 then x+2>7+2 => x+2>9
Discussion
22.

ax^2+bx+c ≥ 0 is a strict inequality.(a) True(b) FalseThe question was asked in a national level competition.This interesting question is from Inequalities topic in chapter Linear Inequalities of Mathematics – Class 11

Answer» CORRECT choice is (a) True

To explain I would say: SINCE it has EQUALITY SIGN ALONG with inequality sign so it is a slack inequality not strict inequality.
Discussion
23.

Find all pairs of consecutive odd positive integers both of which are smaller than 8 such that their sum is more than 10.(a) (5,7)(b) (3,5), (5,7)(c) (3,5), (5,7), (7,9)(d) (5,7), (7,9)I got this question during an online exam.My question comes from Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation in section Linear Inequalities of Mathematics – Class 11

Answer»

Right answer is (a) (5,7)

The explanation: Let TWO numbers be x and x+2.

x + x+2 >10 => 2x>8 => x>4

and x<8

and x+2<8 => x<6.

4 x can be 5.

For x =5, x+2=7

So, Pairs of odd consecutive positive integers are (5,7).
Discussion
24.

If x is a positive integer and 20x

Answer» CORRECT answer is (c) {1,2,3,4}

For explanation I would say: 20X<100

Dividing by 20 on both sides, x< (100/20) => x<5

Since x is a POSITIVE INTEGER so x = 1,2,3,4.
Discussion
25.

The longest side of a triangle is 2 times the shortest side and the third side is 4 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.(a) 7(b) 9(c) 11(d) 13This question was posed to me in an interview for job.Asked question is from Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation topic in division Linear Inequalities of Mathematics – Class 11

Answer» RIGHT choice is (d) 13

The best explanation: Let shortest side be x. Then longest side = 2x.

Third side = 2x-4.

Given, PERIMETER of triangle is at least 61 CM

=>x+2x+2x-4 ≥ 61 => 5x≥65 = x≥13.

Minimum length of the shortest side is 13 cm.
Discussion