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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.

4051.

What is 4%as a fraction?

Answer» 4%as a fraction is 1/25

Percent means per hundred or for every hundred. We represent it as %.

4052.

A positive angle less than 2pi that is coterminal with the angle -11pi over 3

Answer» A positive angle less than 2pi that is coterminal with the angle -11pi over 3

Solution:

4053.

What is the constant of variationkof the direct variation, y = kxthrough (–3, 2)?

Answer» The constant of variation k for y = kx through (-3, 2) is k = -2/3.

Linear equations are one of the most important concepts of mathematics. They are used to represent straight lines on the cartesian plane. Let's solve a problem related to linear equations.

4054.

What is the end behavior of the graph of the polynomial function y = 7x12 - 3x8 - 9x4?

Answer» What is the end behavior of the graph of the polynomial function y = 7x12- 3x8- 9x4?

Solution:

4055.

Solve the equationby factorization 6x2= 150.

Answer» The solutions of 6x2= 150 are x = 5 and x = -5.

Factorization is a method of writing any expression or numbers as the product of their factors or divisors.

4056.

Which set is a subset of every set? {}, {0}, {1}

Answer» Which set is a subset of every set? {}, {0}, {1}

Solution:

4057.

If sec θ is5/4 then, what is the value of cos θ?

Answer» If sec θ is5/4 then the value of cos θ is 4/5

In a right-angled triangle, the secant of an angle is the ratio of the length of the hypotenuse tothe length of the base.

4058.

How many degrees are in a half of a full turn?

Answer» 180 degrees are there in half of a full turn

We will use the concept of straight angle and unitary method to find the degree in half of the full turn.

4059.

Write the expression as a single natural logarithm. 3 ln x - 2 ln c

Answer» Write the expression as a single natural logarithm. 3 ln x - 2 ln c

Solution:

4060.

How to find the side of a right triangle given one side and one angle?

Answer» We can findthe side of a right triangle with one side and one angle, by using the trigonometric ratios.

Trigonometryis a branch of maths that deals with relationships between the sides and angles of various shapes.

4061.

Convert the fraction 3/5 into percent.

Answer» 3/5is expressed as 60% in terms of percentage.

A percent is a ratio of a number expressed out of100.

4062.

Combine like terms. What is a simpler form of the expression? -3(-4y + 3) + 7y

Answer» Combine like terms. What is a simpler form of the expression? -3(-4y + 3) + 7y

Solution:

4063.

The slope of the line tangent to the graph of y = ln(x/2) at x = 4 is?

Answer» The slope of the line tangent to the graph of y = ln(x/2) at x = 4 is?

Solution:

4064.

What is 10 to the power of negative 3?

Answer» 10 to the power of negative 3is 0.001.

A method for expressing powers as well asroots is known as anexponent. They have many applications in various fields of engineering, science and mathematics.

4065.

In circle t, ∠PTQ ≅ ∠RTS. What is the measure of arc PQ?

Answer» In circle t, ∠PTQ ≅ ∠RTS. What is the measure of arc PQ?

4066.

What is the sum of all of the odd numbers from 1 to 59?

Answer» What is the sum of all of the odd numbers from 1 to 59?

Solution:

4067.

How far does boat travel in 3 hours at 65 miles per hour?

Answer» How far does a boat travel in 3 hours at 65 miles per hour?

Solution:

4068.

How to tell if a number is divisible by 8?

Answer» To see if a number is divisible by 8, check if its last 3 digits are divisible by 8

You can tell if a number isdivisible by 8 by performing the divisibility test for 8 on the number.

4069.

What is 4 to the power of 1/2?

Answer» 4 to the power of 1/2 is 2.

In mathematics, a method for expressing powers and roots together is known as a fractional exponent.

4070.

How much is 64 to the power of 1/3?

Answer» 64 to the power of 1/3 is 4.

In algebra, the method or technique in which powers and roots are expressed together is known as a fractional exponent.

4071.

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept? 0,9,12,16

Answer» For which value of m does the graph of y = 18x2+ mx + 2 have exactly one x-intercept?

Solution:

4072.

Find the mode. 19, 1, 17, 19, 3, 20, 5, 2.

Answer» The mode of19, 1, 17, 19, 3, 20, 5, 2 is 19.

The Mode is a value of measure of central tendency. It isa value or a number that appears most frequently in a dataset.

4073.

2/3 x 2/3 as a Fraction

Answer» 2/3 x 2/3 as a fraction is 4/9.

Fractions represent equal parts of a whole or a collection.

4074.

How many real number solutions are there to the equation 3x2- x + 4 = 0

Answer» The quadratic equation3x2- x + 4 = 0 has 0 real solutions

We will use the concept of a quadratic equation to find the numbers of real number solutions of the equation.

4075.

Find A∩ (B∪ C):A= {2, 3, 5, 8} B= {3, 5, 7} C= {2, 4, 8}

Answer» For A= {2, 3, 5, 8} B= {3, 5, 7} C= {2, 4, 8}, A ∩ (B ∪ C) = {2, 3, 5, 8}

A set is defined as a collection of objects. Each object inside a set is called an 'Element'.

4076.

What is the value of the expression i0× i1× i2× i3× i4?

Answer» What is the value of the expression i0× i1× i2× i3× i4?

Solution:

4077.

What is the measure of an angle in a regular hexagon?

Answer» The measure of an angle in a regular hexagon is 120°.

A regular hexagon is a polygon with six sides of equal measures.

4078.

2 divided by 3 as a fraction

Answer» 2 divided by 3 as a fraction is 2/3.

To represent equal parts of a whole or a collection we use fractions.

4079.

How to find the domain and range of a rational function?

Answer» The domain of a rational number is all real numbers except those which make the denominator zero.While the range of a rational number is not as simple as the domain.

A rational function can be represented in the form of p / q where q is not equal to 0.

4080.

The formula to find the surface area of a triangular prism?

Answer» The formula to find the surface area of a triangular prism?

Solution:

4081.

What is 88 as a Fraction?

Answer» 88/1 is the fractional form of 88.

A fraction is used to represent a part of a whole.

4082.

If a²+b²+c² = ab+bc+ca, Find (c+a)/b.

Answer» If a²+b²+c² = ab+bc+ca, then (c+a)/b = 2.

Algebraic identities are equations where the value of the left-hand side of the equation is identically equal to the value of the right-hand side of the equation.

4083.

How many Acres in a Square Mile?

Answer» There are 640 acres in 1square mile.

Area can be measured by units such as acre and square mile.

4084.

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answer» What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Solution:

4085.

Integrate the function f(x) =cos2x.

Answer» 1 / 2 ( cos xsin x ) + x / 2 + C

To integrate∫cos2x dx, we will write cos2x = cos x× cos x and integrate using part integration.

4086.

How many Quarts in a Liter?

Answer» 1 liter has 1.05669 quarts.

Liter and quarts are units used to measure volume.

4087.

What is the slope of a line parallel to the line whose equation is y - x = 5?

Answer» What is the slope of a line parallel to the line whose equation is y - x = 5?

Solution:

4088.

How Many Grams Are in a Pound?

Answer» There are 453.592 grams in 1 pound.

Mass can be measured by different units such as grams and pounds.

4089.

Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1).?

Answer» Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1).?

Solution:

4090.

Write the following equation in the general form ax+ by +c = 0. y - x - 1 = 0

Answer» Write the following equation in the general form ax+ by +c = 0. y - x - 1 = 0

Solution:

4091.

Which rules are used to prove that triangles are congruent?

Answer» Which rules are used to prove that triangles are congruent?

Solution:

4092.

What is .65 as a Fraction?

Answer» The fractional form of 0.65 is 65/100.

A fraction is a representation of a part of a whole number.

4093.

If the ratio of the perimeter of two similar triangles is 9:16, then what is the ratio of the area?

Answer» The ratio of the area will be 81:256

We can use the area theorem of the triangle to solve the above question.

4094.

How much is 1/4 to the power of 2?

Answer» 1/4 to the power of 2 is 1/16or 0.0625.

Exponent rulesstate that the exponent of any number represents how many times to use the number in a multiplication.

4095.

In the diagram of circle A, what is the measure of ∠XYZ?

Answer» In the diagram of circle A, what is the measure of ∠XYZ?

4096.

Evaluate the integral. (use c for the constant of integration.) ∫2tan4(x) sec6(x) dx.

Answer» Evaluate the integral. (use c for the constant of integration.) ∫2tan4(x) sec6(x) dx.

Solution:

4097.

What are the sine, cosine, and tangent of θ = pi/6?

Answer» Answer : The Value of sine (π / 6) = 1 / 2 , cosine (π / 6) = (30.5) / 2 andtan (π / 6) = (30.5)

We will use the concept of basic trigonometric formula to find the sine, cosine, and tangent of the given angle.

4098.

How many Centimeters are in an Inch?

Answer» 1 inch equals 2.54 centimeters.

Length can be measured by centimeters and inches

4099.

What is the area of a sector with a central angle of 210 degrees and a diameter of 4.6m?

Answer» What is the area of a sector with a central angle of 210 degrees and a diameter of 4.6m?

Solution:

4100.

Factorize the equation: x3– 3x2– 9x – 5.

Answer» The equation can be factorized as: x3– 3x2– 9x – 5 = (x+1)2(x+5)

We will find the factors of the expressionx3– 3x2– 9x – 5