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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.
| 3051. |
What is the volume of a cuboid with length of 10cm, the width of 5 cm, and a height of 8cm? |
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Answer» What is the volume of a cuboid with length of 10cm, the width of 5 cm, and a height of 8cm? Solution: |
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| 3052. |
Find the center, vertices, and foci of the ellipse with equation 2x2 + 8y2 = 16. |
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Answer» Find the center, vertices, and foci of the ellipse with equation 2x2+ 8y2= 16. Solution: |
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| 3053. |
The next number in the series 3, 4, 6, 7, 9, 10 is: |
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Answer» The next number in the series 3, 4, 6, 7, 9, 10 is 12. A sequence is a list of numbers (or items) that exhibits a particular pattern. |
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| 3054. |
Approximate the real number solution(s) to the polynomial function f(x) = x3 - 2x2 - 5x + 6. |
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Answer» Approximate the real number solution(s) to the polynomial function f(x) = x3 - 2x2 - 5x + 6. Solution: |
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| 3055. |
Divide the following polynomials (a4 + 4b4)/ (a2 - 2ab + 2b2) |
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Answer» Divide the following polynomials(a4 + 4b4)/ (a2 - 2ab + 2b2) Solution: |
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| 3056. |
Using a directrix of y = -2 and a focus of (2, 6), what quadratic function is created? f(x) = -1/8(x - 2)2 - 2 f(x) = 1/16(x - 2)2 + 2 f(x) = 1/8(x - 2)2 - 2 f(x) = -1/16(x + 2)2 - 2 |
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Answer» Using a directrix of y = -2 and a focus of (2, 6), what quadratic function is created? Solution: |
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| 3057. |
Four angles of a polygon are 100°each. The remaining angles are 160°each. Find the number of sides of the polygon. |
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Answer» The number of sides of the polygon is 6. A polygon is a closed two-dimensional figure, that comprises three or more straight lines. |
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| 3058. |
If a triangle has a height of 12 inches and a base of 5 inches, what's its area? |
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Answer» If a triangle has a height of 12 inches and a base of 5 inches, what's its area? Solution: |
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| 3059. |
The standard form of an absolute value function is f(x) = a|x - h| + k, which of the following represents the vertex? (-k, h), (-h, k), (k, h), (h, k) |
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Answer» The standard form of an absolute value function is f(x) = a|x - h| + k, which of the following represents the vertex? Solution: |
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| 3060. |
Find a point on the y-axis that is equidistant from (-5,2) and (9,-2). |
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Answer» The point on the y-axis thatis equidistant from (- 5, 2) and (9, -2) is (0, -7). A point on the y-axis is always represented as (0, y). |
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| 3061. |
State how many imaginary and real zeros the function has. f(x) = x3 + 5x2 - 28x -32 |
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Answer» State how many imaginary and real zeros the function has. f(x) = x3 + 5x2 - 28x – 32 Solution: |
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| 3062. |
What is halfof 5? |
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Answer» Half of 5is 5/2as a fraction and 2.5 as a decimal. Themultiplication of fractionsstarts with the multiplication of the given numerators, followed by the multiplication of the denominators. |
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| 3063. |
Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ π/2 |
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Answer» Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ π/2 Solution: |
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| 3064. |
A playhouse is in the shape of a regular hexagon. If each side of the playhouse is 5 feet long, what is the perimeter of the playhouse? |
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Answer» The perimeter of the playhouse with each side 5 feet long is 30 feet. Perimeter is the length of the boundary of ashape. They have many applications in real life, for example, while fencing a garden or painting an object. |
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| 3065. |
What is the sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms? |
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Answer» What is the sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms? Solution: |
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| 3066. |
Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon? |
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Answer» Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon? Solution: |
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| 3067. |
What is the equation of a line passing through the point (a, b) and having a slope of b? |
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Answer» What is the equation of a line passing through the point (a, b) and having a slope of b? Solution: |
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| 3068. |
How much is 168 cm in feet and inches? |
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Answer» 168cm isapproximately equal to5feet and6 inches. There are 12 inches in a feet and 2.54 cm in an inch. |
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| 3069. |
If Robert buys a candy bar for 78 cents, how much change does he get back from a one-dollar bill? |
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Answer» If Robert buys a candy bar for 78 cents, how much change does he get back from a one-dollar bill? Solution: |
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| 3070. |
How to subtract a whole number from a mixed fraction? |
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Answer» We can subtract a whole number from a mixed fraction using the following steps. Whole numbersare all natural numbers including zero and a mixed fraction is a combination of a whole number and a proper fraction. |
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| 3071. |
Two years ago, father was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Find their presents ages. |
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Answer» The present ages of the father and son are 38 years and 14years respectively. The given question can be simplified using the linear equations in twovariables and the concept of ratios. |
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| 3072. |
What is 1.5 as a percent? |
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Answer» 1.5as a percentis 150%. A percentageis a fraction or a ratio in which the value of the whole is always 100. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. In this question, we have to convert a decimal number to percent. |
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| 3073. |
How do you convert milliliters to liters? |
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Answer» To convert milliliters to litres we multiply the given quantity in 'ml' with 0.001 There are 1000 milliliters in aliter. |
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| 3074. |
What is the integral of 1 / (1 + x2)? |
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Answer» The value ofthe integral 1 / (1 + x2) is tan-1x + c. To find the value of the integral 1 / (1 + x2), we will use the substitution method of integration. |
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| 3075. |
What is 1/3 in decimal form? |
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Answer» 1/3 is expressed as 0.3333 in its decimal form. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 3076. |
A triangle has side lengths of 10, 24, and 30. What type of triangle is it? Acute Equiangular Equilateral Obtuse |
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Answer» A triangle has side lengths of 10, 24, and 30. What type of triangle is it? Solution: |
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| 3077. |
If 9 is subtracted from two-thirds of a number, the result is 7. Find the number. |
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Answer» The answer is 24, if9 is subtracted from two-thirds of a number, with a result of7. Anequationcan be defined as amathematicalstatement consisting of an equal symbol between two algebraic expressions that have the same value |
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| 3078. |
How to express 5to the power of 3? |
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Answer» 5to the power of 3can be expressed as 53= 5 × 5 × 5 Power, in exponents, is defined as the total number of times we use the number ina multiplication.For example, 2 to the power 3 means 2 is multiplied 3 times. |
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| 3079. |
What is the inverse of the function f(x) = x/4 - 12? |
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Answer» What is the inverse of the function f(x) = x/4 - 12? Solution: |
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| 3080. |
Use the definition of Taylor series to find the taylor series (centered at c) for the function. f(x) = 1/x, c = 1. |
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Answer» Use the definition of Taylor series to find the taylor series (centered at c) for the function. f(x) = 1/x, c = 1. Solution: |
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| 3081. |
What is the solution to the system of equations? y = -5x + 6 and y = -3x -4 |
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Answer» What is the solution to the system of equations? y = -5x + 6 and y = -3x -4 Solution: |
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| 3082. |
Find tan θ if sec θ = √37 divided by 6 and sin θ < 0? |
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Answer» Find tan θ if sec θ =√37 divided by 6 and sin θ < 0? Solution: |
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| 3083. |
The equation f(x) = 3x2 - 24x + 8 represents a parabola. What is the vertex of the parabola? |
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Answer» The equation f(x) = 3x2 - 24x + 8 represents a parabola. What is the vertex of the parabola? Solution: |
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| 3084. |
A man repays a loan of Rs. 3250 by paying Rs. 20 in the first month and then increases the payment by Rs 15 every month. How long will it take him to clear the loan? |
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Answer» It will take him 20 months to clear the loan. We can solve this by using arithmetic progression. Arithmetic progressionis defined as a sequence where the difference between every two consecutive terms is the same. |
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| 3085. |
Triangle ABC is a right triangle. What is the relationship between angles A and B? |
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Answer» Angles A and B are complementary angles.
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| 3086. |
A line contains points M(1, 3) and N(5, 0). What is the slope of MN? |
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Answer» A line contains points M(1, 3) and N(5, 0). What is the slope of MN? Solution: |
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| 3087. |
What is the solution to the system of equations? y = -3x + 8 and y = -5x -2 |
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Answer» What is the solution to the system of equations? y = -3x + 8 and y = -5x -2 Solution: |
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| 3088. |
Find the center and radius of the sphere whose equation is given by x2+ y2+ z2+ 4x -2z - 8 = 0. R = ? |
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Answer» Find the center and radius of the sphere whose equation is given by x2+ y2+ z2+ 4x -2z - 8 = 0. R = ? Solution: |
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| 3089. |
Find an equation of the sphere that passes through the point (4 3 -1) and has center (3 8 1) |
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Answer» Find an equation of the sphere that passes through the point (4 3 -1) and has center (3 8 1) Solution: |
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| 3090. |
Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below. Which two transformations can map figure 1 onto figure 2? Reflection across the y-axis, followed by translation 10 units down Reflection across the y-axis, followed by reflection across x-axis Reflection across the y-axis, followed by translation 5 units down Reflection across the x-axis, followed by reflection across y-axis |
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Answer» Figure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below. Which two transformations can map figure 1 onto figure 2?
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| 3091. |
A pair of pants with a marked price of $35.00 has a discount of 20%. How much is the discount? |
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Answer» A pair of pants with a marked price of $35.00 has a discount of 20%. How much is the discount? Solution: |
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| 3092. |
Find the Maclaurin series for f(x) = cos(x3) and use it to determine f(6). |
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Answer» Find the Maclaurin series for f(x) = cos(x3) and use it to determine f(6). Solution: |
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| 3093. |
How to tell if a number is prime or composite? |
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Answer» If a number has more than twofactors (1, itself) it is a composite number, else it is said to be a prime number. Composite numbers can be defined asnatural numbersthat have more than two factors. In other words, a number that is divisible by a number other than 1 and the number itself is called a composite number. |
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| 3094. |
Which shows one way to determine the factors of x3 - 9x2 + 5x - 45 by grouping x2(x - 9) - 5(x - 9) x2(x + 9) - 5(x + 9) x(x2 + 5) - 9(x2 + 5) x(x2 - 5) - 9(x2 - 5) |
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Answer» Which shows one way to determine the factors of x3- 9x2+ 5x - 45 by grouping? Solution: |
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| 3095. |
What is the range of f(x) = (3/4)x - 4? {y | y > -4} {y | y < -4} |
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Answer» What is the range of f(x) = (3/4)x - 4? {y | y > -4} {y | y < -4} Solution: |
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| 3096. |
Find the center, vertices, and foci of the ellipse with equation 5x2+ 9y2= 45. |
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Answer» Find the center, vertices, and foci of the ellipse with equation 5x2+ 9y2= 45. Solution: |
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| 3097. |
What is the solution of the system of equations? y = -2x + 8 and y = x -4 |
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Answer» What is the solution of the system of equations? y = -2x + 8 and y = x -4 Solution: |
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| 3098. |
After a 20% discount and 6% tax, a guitar costs $530.00. What was the original price of the guitar? |
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Answer» After a 20% discount and 6% tax, a guitar costs $530.00. What was the original price of the guitar? Solution: |
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| 3099. |
A right pyramid with a square base has a base edge length of 24 feet and slant height of 20 feet. The height of the pyramid in feet? |
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Answer» A right pyramid with a square base has a base edge length of 24 feet and slant height of 20 feet. The height of the pyramid in feet? Solution: |
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| 3100. |
Draw the graph of y = x2 + x and hence solve x2 + 1 = 0. |
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Answer» Draw the graph of y = x2 + x and hence solve x² + 1 = 0. Solution: |
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