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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.

8051.

What is the difference between an irrational number and an integer?

Answer» Below are the differences between an irrational number and an integer:

Irrational numbersare all thereal numbersthat are notrational numbers. That is, irrational numbers cannot be expressed as the ratio of twointegers.

8052.

How to make a mixed number into an improper fraction?

Answer» To convert a mixed fraction into an improper fraction the whole number is multiplied with the denominator and the result is added to the numerator which becomes the numerator of the improper fraction. The denominator remains the same.

A fraction in which the numerator is equal to or greater than the denominator is called animproper fraction.

8053.

(a). kilo (b). millimeter (c). liter (d). centimeter

Answer» The basic unit of volume in the metric system is a liter. Hence option (c) is correct.

The base unit is the unit that is the most used unit of measurement for a particular physical quantity.

8054.

What is the basic unit of volume in the metric system

Answer» The basic unit of volume in the metric system is a liter. Hence option (c) is correct.

The base unit is the unit that is the most used unit of measurement for a particular physical quantity.

8055.

What does an obtuse angle look like?

Answer» Obtuseanglelies between 90° and 180° and looks like a recliner chair.

Theangles measuring greater than 90° and less than 180° are called obtuse angles in geometry.

8056.

Find the roots of quadratic equation 1/x - 1/(x - 2) = 3.

Answer» The roots of the equation 1/x - 1/(x - 2) = 3 are 1 + 1/√3 and 1 - 1/√3.

Quadratic equations are one of the most integral parts of algebra in mathematics. They find their applications in various fields of engineering and science to find values of different quantities and parameters. These equations can have a maximum of two roots. Now, let's solve a problem related to this concept.

8057.

What is the compound interest on a three-year, $100.00 loan at a 10 percent annual interest rate?

Answer» The compound interest on a three-year, $100.00 loan at a 10 percent annual interest rate is $ 33.1.

Compound interestis the interest paid on both principal and interest, compounded in regular intervals.

8058.

Factor the algebraic expression below in terms of a single trigonometric function csc2 x - 1

Answer» Factor the algebraic expression below in terms of a single trigonometric function csc2x - 1

Solution:

8059.

How to tell if a year is a leap year?

Answer» If the year is having 366 days or if the year is divisible by 4, then we can saythat year is a leap year.

Let us understand the concept of the leap year.

8060.

What is the smallest composite number that has the five smallest prime numbers as factors?

Answer» What is the smallest composite number that has the five smallest prime numbers as factors?

Solution:

8061.

Which point is an x-intercept of the quadratic function f(x) = (x - 4)(x + 2)? (-4, 0), (-2, 0), (0, 2), (4, -2)

Answer» Which point is an x-intercept of the quadratic function f(x) = (x - 4)(x + 2)?

Solution:

8062.

The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. Find the rational number.

Answer» The required rational number is 13/21.

Thefraction is a part of a whole expressed as N/D.

8063.

If f(x) = x + 2, g(x) = x – 4. Find (f g)(x) = ?

Answer» If f(x) = x + 2, g(x) = x – 4, then(f g)(x) = x2 - 2x - 8.

We will be using the concept of functions to find this.

8064.

How to solve a quadratic equation x2- 10x + 24 by completing the square?

Answer» The solutionof the quadratic equationx2- 10x + 24, by the method of completing the squaresare x = 4 and x = 6.

Quadratic equations are those equations having a degree of two. They can have a maximum of two roots. They can be solved using the completing the square method.

8065.

Which one of the following temperatures is equal to 5°C? a. 0 K b. 465.15 K c. 278.15 K d. 41.15 K

Answer» Which one of the following temperatures is equal to 5°C?

Solution:

8066.

Write thenumber of edges, faces, and vertices of the cube, cuboid, cone, cylinder, sphere, triangular pyramid, rectangular, and prism.

Answer» Write thenumber of edges, faces, and vertices of the cube, cuboid, cone, cylinder, sphere, triangular pyramid, rectangular, and prism.

Solution:

8067.

What is the solution to this system of linear equations? x -3y = -2, x + 3y = 16

Answer» What is the solution to this system of linear equations? x - 3y = -2 x + 3y = 16

Solution:

8068.

Read the numbers and decide what the next number should be: 6 18 20 10 30 32 16.

Answer» The next number in the sequence 6 18 20 10 30 32 16 is 48.

Number series are the sequencesin which the terms follow a particular pattern by virtue of which the series progresses further. The solver is required to identify thepattern to solve the problem.

8069.

Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?

Answer» Two numbers which are in the ratio 5:3 differing by 18 are 45 and 27.

The given question can be simplified using the linear equations in one variable and the concept of ratios.

8070.

How to multiply fractions with whole numbers and mixed numbers?

Answer» To multiply a whole number by a fraction, the whole number is converted into a fraction with denominator 1 and then multiplied by the given fraction. Mixed numbers are converted into an improper fraction and then multiplied by the given fraction.

Whole numbers are all natural numbers including 0.

8071.

Evaluate the integral. (use c for the constant of integration.) (ln(x))2 dx

Answer» Evaluate the integral. (use c for the constant of integration.) (ln(x))2dx

Solution:

8072.

What is 10to the 10th power?

Answer» The value of 10 raised to 10thpower is1010, and1010=10,000,000,000.

The exponentor power of a number shows how many times the number is multiplied by itself.

8073.

Find an equation of the line passing through the points (2, 3) and (4, 6).

Answer» The equation of a line passing through the points (2, 3) and (4, 6) is 3x - 2y= 0

The general equation of a straight line can be written as y = mx + c where m is the slope andc is the y-intercept.

8074.

What is a solution of x2 - 7x = -5?

Answer» What is a solution of x2 - 7x = -5?

Solution:

8075.

If x and y are positive integers what is the value of xy?

Answer» xy represents the product oftwo positive integers x and y.

An integer is positive if it is greater than zero.

8076.

What is 1/7 as a decimal?

Answer» 1/7 as a decimal is0.143

Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint.

8077.

Solve: 2/5× -3/7 - 1/4 - 3/7 × 3/5.

Answer» The solution of2/5 × -3/7 - 1/4 - 3/7 × 3/5 is -19/28.

Let us simplify the given arithmetic expression.

8078.

Find the real solutions of the equation by graphing. x2 + 2x + 2 = 0

Answer» Find the real solutions of the equation by graphing. x2 + 2x + 2 = 0

Solution:

8079.

Select the points that lie on the function h(x) = 3x2: (1, 3), (1, 9), (-1, -3), (-1, 3)

Answer» Select the points that lie on the function h(x) = 3x2:

Solution:

8080.

What is the solution set of 18 - 3n + 2 = n + 20 - 4n?

Answer» What is the solution set of 18 - 3n + 2 = n + 20 - 4n?

Solution:

8081.

What is 19/6as a Mixed Number?

Answer» 19/6as a mixed number can be written as 3 1/6

We can see that 19/6is an improper fraction which can be written as a mixed number consisting of a whole and fractional part.

8082.

Give examples for cone, sphere, cylinder, and cuboid.

Answer» Examples for Cone: Icecream

These are the geometry shapes that are used in maths.

8083.

Solve x2 - 12x + 5 = 0 using the completing-the-square method.

Answer» Solve x2 - 12x + 5 = 0 using the completing-the-square method.

Solution:

8084.

Find the equation of a line passing through the points (-1,1) and (2,-4).

Answer» The equation of a line passing through the points (-1, 1) and (2, -4) is 5x + 3y + 2 = 0.

The general equation of a straight line can be written as y = mx + c where m is the slope andc is the y-intercept.

8085.

Prove that between any two rational numbers, there is an irrational number.

Answer» Between any two rational numbers, there is an irrational number is proved.

We will find an irrational number between two arbitraryrational numbers.

8086.

How do you write an equation of a line that passes through points (-1, 3), (2, -3)?

Answer» The equation of a line passing through the points (-1, 3) and (2, -3) is 2x +y =+ 1.

The general equation of a straight line can be written as y = mx + c where m is the slope and c is the y-intercept.

8087.

What is the remainder when (x3 + 1) is divided by (x2- x + 1)?

Answer» What is the remainder when (x3 + 1) is divided by (x2- x + 1)?

Solution:

8088.

A fair die is rolled. What is the probability of rolling an odd number or a number less than 3?

Answer» A fair die is rolled. What is the probability of rolling an odd number or a number less than 3?

Solution:

8089.

What is the value of n in the equation (n - 4) - 3 = 3 - (2n + 3)?

Answer» What is the value of n in the equation (n - 4) - 3 = 3 - (2n + 3)?

Solution :

8090.

One angle of an isosceles triangle is 28°. What are the other 2 angles? (choose all that apply.) 76° and 76° 116° and 116° 28° and 152° 28° and 124°

Answer» One angle of an isosceles triangle is 28°. What are the other 2 angles? (choose all that apply.)

Solution:

8091.

What is the equation of the ellipse that inscribes a rectangle, in which another ellipse of equation x^2 +4y^2 = 4 is inscribed ?

Answer» The desired ellipse is x2/16 + 3/4 ×y2 = 1 orx2+ 12y2= 16

The given ellipse i.e. x2+ 4y2= 4and rectangle both lie in the first quadrant.

8092.

Consider the functions f(x) = 2x + 1 and g(x) = x2-10. What is the value of f[g(3)]? 39, -3, -7, -1

Answer» Consider the functions f(x) = 2x + 1 and g(x) = x2-10. What is the value of f[g(3)]?
39, -3, -7, -1

Solution:

8093.

A man walks 10 miles in x hours. How far does he walk in one hour?

Answer» The distance traveled by the man in one hour is 10/x miles.

Speed is known as the distance traveled per unit of time.

8094.

d) Fractions

Answer» Option (c) Integers are either whole numbers or the negatives of whole numbers.

A basic division of numbers can be done into two basic categories, which are rational and irrational numbers.

8095.

c) Integers

Answer» Option (c) Integers are either whole numbers or the negatives of whole numbers.

A basic division of numbers can be done into two basic categories, which are rational and irrational numbers.

8096.

b) Whole numbers

Answer» Option (c) Integers are either whole numbers or the negatives of whole numbers.

A basic division of numbers can be done into two basic categories, which are rational and irrational numbers.

8097.

a) Natural Numbers

Answer» Option (c) Integers are either whole numbers or the negatives of whole numbers.

A basic division of numbers can be done into two basic categories, which are rational and irrational numbers.

8098.

These numbers are either whole numbers or the negatives of whole numbers. They are called ______.

Answer» Option (c) Integers are either whole numbers or the negatives of whole numbers.

A basic division of numbers can be done into two basic categories, which are rational and irrational numbers.

8099.

What is the total cost of a pair of jeans that are priced $50.00 if there is 7 1/2% sales tax? $53.75, $55.50, $57.50

Answer» What is the total cost of a pair of jeans that are priced $50.00 if there is 7 1/2% sales tax?
$53.75, $55.50, $57.50

Solution:

8100.

How to find the median of an even set of numbers?

Answer» The median of an even set of numbers (sorted inorder) can be found by calculating the average of the two middle terms.

Median is the middle number in a sorted list of given numbers.