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? |
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Answer» 4%as a fraction is 1/25 Percent means per hundred or for every hundred. We represent it as %. |
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| 4052. |
A positive angle less than 2pi that is coterminal with the angle -11pi over 3 |
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Answer» A positive angle less than 2pi that is coterminal with the angle -11pi over 3 Solution: |
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| 4053. |
What is the constant of variationkof the direct variation, y = kxthrough (–3, 2)? |
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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. |
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| 4054. |
What is the end behavior of the graph of the polynomial function y = 7x12 - 3x8 - 9x4? |
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Answer» What is the end behavior of the graph of the polynomial function y = 7x12- 3x8- 9x4? Solution: |
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| 4055. |
Solve the equationby factorization 6x2= 150. |
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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. |
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| 4056. |
Which set is a subset of every set? {}, {0}, {1} |
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Answer» Which set is a subset of every set? {}, {0}, {1} Solution: |
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| 4057. |
If sec θ is5/4 then, what is the value of cos θ? |
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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. |
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| 4058. |
How many degrees are in a half of a full turn? |
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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. |
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| 4059. |
Write the expression as a single natural logarithm. 3 ln x - 2 ln c |
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Answer» Write the expression as a single natural logarithm. 3 ln x - 2 ln c Solution: |
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| 4060. |
How to find the side of a right triangle given one side and one angle? |
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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. |
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| 4061. |
Convert the fraction 3/5 into percent. |
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Answer» 3/5is expressed as 60% in terms of percentage. A percent is a ratio of a number expressed out of100. |
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| 4062. |
Combine like terms. What is a simpler form of the expression? -3(-4y + 3) + 7y |
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Answer» Combine like terms. What is a simpler form of the expression? -3(-4y + 3) + 7y Solution: |
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| 4063. |
The slope of the line tangent to the graph of y = ln(x/2) at x = 4 is? |
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Answer» The slope of the line tangent to the graph of y = ln(x/2) at x = 4 is? Solution: |
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| 4064. |
What is 10 to the power of negative 3? |
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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. |
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| 4065. |
In circle t, ∠PTQ ≅ ∠RTS. What is the measure of arc PQ? |
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Answer» In circle t, ∠PTQ ≅ ∠RTS. What is the measure of arc PQ?
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| 4066. |
What is the sum of all of the odd numbers from 1 to 59? |
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Answer» What is the sum of all of the odd numbers from 1 to 59? Solution: |
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| 4067. |
How far does boat travel in 3 hours at 65 miles per hour? |
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Answer» How far does a boat travel in 3 hours at 65 miles per hour? Solution: |
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| 4068. |
How to tell if a number is divisible by 8? |
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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. |
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| 4069. |
What is 4 to the power of 1/2? |
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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. |
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| 4070. |
How much is 64 to the power of 1/3? |
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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. |
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| 4071. |
For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept? 0,9,12,16 |
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Answer» For which value of m does the graph of y = 18x2+ mx + 2 have exactly one x-intercept? Solution: |
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| 4072. |
Find the mode. 19, 1, 17, 19, 3, 20, 5, 2. |
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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. |
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| 4073. |
2/3 x 2/3 as a Fraction |
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Answer» 2/3 x 2/3 as a fraction is 4/9. Fractions represent equal parts of a whole or a collection. |
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| 4074. |
How many real number solutions are there to the equation 3x2- x + 4 = 0 |
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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. |
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| 4075. |
Find A∩ (B∪ C):A= {2, 3, 5, 8} B= {3, 5, 7} C= {2, 4, 8} |
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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'. |
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| 4076. |
What is the value of the expression i0× i1× i2× i3× i4? |
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Answer» What is the value of the expression i0× i1× i2× i3× i4? Solution: |
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| 4077. |
What is the measure of an angle in a regular hexagon? |
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Answer» The measure of an angle in a regular hexagon is 120°. A regular hexagon is a polygon with six sides of equal measures. |
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| 4078. |
2 divided by 3 as a fraction |
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Answer» 2 divided by 3 as a fraction is 2/3. To represent equal parts of a whole or a collection we use fractions. |
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| 4079. |
How to find the domain and range of a rational function? |
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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. |
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| 4080. |
The formula to find the surface area of a triangular prism? |
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Answer» The formula to find the surface area of a triangular prism? Solution: |
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| 4081. |
What is 88 as a Fraction? |
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Answer» 88/1 is the fractional form of 88. A fraction is used to represent a part of a whole. |
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| 4082. |
If a²+b²+c² = ab+bc+ca, Find (c+a)/b. |
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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. |
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| 4083. |
How many Acres in a Square Mile? |
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Answer» There are 640 acres in 1square mile. Area can be measured by units such as acre and square mile. |
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| 4084. |
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid? |
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Answer» What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid? Solution: |
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| 4085. |
Integrate the function f(x) =cos2x. |
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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. |
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| 4086. |
How many Quarts in a Liter? |
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Answer» 1 liter has 1.05669 quarts. Liter and quarts are units used to measure volume. |
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| 4087. |
What is the slope of a line parallel to the line whose equation is y - x = 5? |
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Answer» What is the slope of a line parallel to the line whose equation is y - x = 5? Solution: |
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| 4088. |
How Many Grams Are in a Pound? |
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Answer» There are 453.592 grams in 1 pound. Mass can be measured by different units such as grams and pounds. |
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| 4089. |
Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1).? |
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Answer» Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1).? Solution: |
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| 4090. |
Write the following equation in the general form ax+ by +c = 0. y - x - 1 = 0 |
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Answer» Write the following equation in the general form ax+ by +c = 0. y - x - 1 = 0 Solution: |
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| 4091. |
Which rules are used to prove that triangles are congruent? |
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Answer» Which rules are used to prove that triangles are congruent? Solution: |
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| 4092. |
What is .65 as a Fraction? |
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Answer» The fractional form of 0.65 is 65/100. A fraction is a representation of a part of a whole number. |
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| 4093. |
If the ratio of the perimeter of two similar triangles is 9:16, then what is the ratio of the area? |
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Answer» The ratio of the area will be 81:256 We can use the area theorem of the triangle to solve the above question. |
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| 4094. |
How much is 1/4 to the power of 2? |
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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. |
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| 4095. |
In the diagram of circle A, what is the measure of ∠XYZ? |
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Answer» In the diagram of circle A, what is the measure of ∠XYZ?
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| 4096. |
Evaluate the integral. (use c for the constant of integration.) ∫2tan4(x) sec6(x) dx. |
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Answer» Evaluate the integral. (use c for the constant of integration.) ∫2tan4(x) sec6(x) dx. Solution: |
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| 4097. |
What are the sine, cosine, and tangent of θ = pi/6? |
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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. |
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| 4098. |
How many Centimeters are in an Inch? |
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Answer» 1 inch equals 2.54 centimeters. Length can be measured by centimeters and inches |
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| 4099. |
What is the area of a sector with a central angle of 210 degrees and a diameter of 4.6m? |
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Answer» What is the area of a sector with a central angle of 210 degrees and a diameter of 4.6m? Solution: |
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| 4100. |
Factorize the equation: x3– 3x2– 9x – 5. |
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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 |
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