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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.
| 6001. |
What fractional part of a day do you spend sleeping if you sleep 8 hours per day? |
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Answer» What fractional part of a day do you spend sleeping if you sleep 8 hours per day? Solution: |
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| 6002. |
If two angles are supplementary to the same angles, then they are ______ |
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Answer» If two angles are supplementary to the same angle, then they are congruent to each other. Twoanglesare said to be supplementary angles if they add up to 180 degrees. |
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| 6003. |
What is the number if the sum of twice a number and half the number is 10? |
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Answer» What is the number if the sum of twice a number and half the number is 10? Solution: |
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| 6004. |
21 is 75 percent of what number? |
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Answer» 21 is equal to 75%of 28. The percentageis a fraction or a ratio in which the value of the whole is always 100. |
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| 6005. |
For the inverse variation equation p = 8/v what is the value of p when v = 1/4. |
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Answer» For the inverse variation equation p = 8/v what is the value of p when v = 1/4. Solution: |
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| 6006. |
Solve −4(2x − 1) = −6(x + 2) − 2 |
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Answer» The value of x for the equation−4(2x − 1) = −6(x + 2) − 2 is 9. Anequationcan be defined as amathematicalstatement consisting of an equal symbol between two algebraic expressions that have the same value. |
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| 6007. |
Find the correct sum of the polynomials (4x3− 2x − 9) + (2x3+ 5x + 3) |
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Answer» The sum of the polynomials(4x3− 2x − 9) and (2x3+ 5x + 3) is 6x3+ 3x − 6. Algebraic expressionsthat havevariables and coefficients are called polynomials. |
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| 6008. |
Choose one of the factors of x6 + 1000. x2,x2-10,x4-10x2 + 100,x4 + 10x2 + 100 |
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Answer» Choose one of the factors of x6+ 1000. Solution: |
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| 6009. |
At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x axis? -5,-2,2,5 |
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Answer» At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x axis? Solution: |
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| 6010. |
Two sets that contain the same number of elements are called_____ |
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Answer» Two sets that contain the same number of elements are called equivalent sets. The question is based on the sets. |
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| 6011. |
What is 27 to the power of 2/3? |
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Answer» 27 to the power of 2/3 is 9. Fractional exponents in algebra use the same rules that are used for the other exponents. |
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| 6012. |
The angle is less than 180 degrees, but more than 90 degrees. |
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Answer» Anobtuse angleis an angle whose measure is morethan90ºand less than 180º Angles are usually measured indegreesand denoted byº(the degree symbol), which is a measure of circularity or rotation. |
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| 6013. |
Write the equation in slope-intercept form. What are the slope and y-intercept -9x + 10y = -9 |
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Answer» Write the equation in slope-intercept form. What are the slope and y-intercept -9x + 10y = -9 Solution: |
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| 6014. |
Find the y-coordinate of the vertex of the parabola whose equation is y = x2 - x + 2? |
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Answer» Find the y-coordinate of the vertex of the parabola whose equation is y = x2 - x + 2? Solution: |
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| 6015. |
Choose one of the factors of x3 - 1331. x - 11,x2 - 11x + 121,x2 + 22x + 121, None of the above |
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Answer» Choose one of the factors of x3- 1331. Solution: |
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| 6016. |
What is 9 to the power of 5? |
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Answer» 9 to the power of 5 is 59049. We will solvethe above question by the multiplication rule of exponents and powers. The exponent or power of any number signifies how many times we have to use the number in a multiplication. |
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| 6017. |
Find the area of an equilateral triangle with a side of 6 inches? |
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Answer» Find the area of an equilateral triangle with a side of 6 inches? Solution: |
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| 6018. |
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form? |
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Answer» What are the zeros of the function f(x) = x2+ 5x + 5 written in simplest radical form? Solution: |
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| 6019. |
What is the derivative of y = tan(x)? |
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Answer» The derivative of y = tan(x) is sec2(x). To find the derivative of y = tan x, we will use the quotient rule. |
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| 6020. |
Which of the following is a solution of y > |x| - 6? (-5, 1); (-1, -5); (5, -1) |
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Answer» Which of the following is a solution of y > |x| - 6? (-5, 1); (-1, -5); (5, -1) Solution: |
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| 6021. |
Which of the following is the third term of the expansion (a + b)n? C(n, 2)a(n-2)- b2 C(n, 3)a(n-3)- b C(n, 2)a2- b(n - 2) |
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Answer» Which of the following is the third term of the expansion (a + b)n? Solution: |
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| 6022. |
Pentagon JKLMN is similar to pentagon STUVW. If NJ = 4, WS = 3, and JK = 5, find ST? |
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Answer» Pentagon JKLMN is similar to pentagon STUVW. If NJ = 4, WS = 3, and JK = 5, find ST?
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| 6023. |
What is the slope of the line represented by the equation y = -x + 7? |
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Answer» What is the slope of the line represented by the equation y = -x + 7? Solution: |
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| 6024. |
Which expression can be used to find the difference of the polynomials? (10m - 6) - (7m - 4) [10m + (-7m)] + [(-6) + 4] (10m + 7m) + [(-6) + (-4)] [(-10m) + (-7m)] + (6 + 4) [10m + (-7m)] + [6 + (-4)] |
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Answer» Which expression can be used to find the difference of the polynomials? (10m - 6) - (7m - 4) [10m + (-7m)] + [(-6) + 4] (10m + 7m) + [(-6) + (-4)] [(-10m) + (-7m)] + (6 + 4) [10m + (-7m)] + [6 + (-4)] Solution: |
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| 6025. |
Which polynomial is prime? x³ + 3x² - 2x - 6 x³ - 2x² + 3x - 6 4x⁴ + 4x³ - 2x - 2 2x⁴ + x3 - x + 2 |
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Answer» Which polynomial is prime? x³ + 3x² - 2x - 6, x³ - 2x² + 3x - 6, 4x⁴ + 4x³ - 2x - 2, 2x⁴ + x3 - x + 2 Solution: |
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| 6026. |
Which is a solution to the equation?(x - 3)(x - 5) = 35 x = -8,x = -5,x = 2,x = 10 |
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Answer» Which is a solution to the equation?(x - 3)(x - 5) = 35 Solution: |
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| 6027. |
Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±10). |
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Answer» Find an equation in standard form for the hyperbola with vertices at (0, ±9) and foci at (0, ±10). Solution: |
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| 6028. |
What is 0.1 as a percent? |
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Answer» 0.1 as a percent is 10%. 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. Here, we have to convert a decimal number to percent. |
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| 6029. |
Figure ABCD is a rectangle with point a (-2, 5). What rule would rotate the figure 90° clockwise? (x,y)→(y,-x) (x,y)→(y,x) (x,y)→(-y,x) (x,y)→(-y,-x) |
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Answer» Figure ABCD is a rectangle with point a (-2, 5). What rule would rotate the figure 90° clockwise? Solution: |
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| 6030. |
Find the vertex form of h(x) = x2 - 14x + 6? |
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Answer» Find the vertex form of h(x) = x2 - 14x + 6? Solution: |
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| 6031. |
To multiply two fractions, multiply the numerator by the and the denominator by the? |
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Answer» To multiply two fractions, multiply the numerator by the and the denominator by the? Solution: |
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| 6032. |
Find the value of y in the formula y = 5a -3b + c, if a = 12, b = 4, and c = 8. |
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Answer» Find the value of y in the formula y = 5a -3b + c, if a = 12, b = 4, and c = 8. Solution: |
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| 6033. |
(a) 6 and 8 (b) 12 and 18 |
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Answer» The first three common multiples of 6 and 8 are 24, 48, and 72. And, the first three common multiples of 12 and 18 are 36, 72, and 108. Common multiples of any two numbers are the multiples that are common to both the given numbers. |
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| 6034. |
Find the first three common multiples of: |
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Answer» The first three common multiples of 6 and 8 are 24, 48, and 72. And, the first three common multiples of 12 and 18 are 36, 72, and 108. Common multiples of any two numbers are the multiples that are common to both the given numbers. |
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| 6035. |
What is the fifth term in the binomial expansion of (x + 5)8? |
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Answer» What is the fifth term in the binomial expansion of (x + 5)8? Solution: |
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| 6036. |
The range of which function is (2, ∞)? y = 2x,y = 2(5x),y = 5x + 2,y = 5x + 2 |
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Answer» The range of which function is (2, ∞)? Solution: |
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| 6037. |
If Cameron has a 21% annual interest rate on his credit card, what is his monthly interest rate? |
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Answer» If Cameron has a 21% annual interest rate on his credit card, what is his monthly interest rate? Solution: |
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| 6038. |
What is 10 to the power of negative 4? |
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Answer» 10to the power of negative 4is equal to 0.0001. We will be usingthe concept of exponents in this section to solve the problem.Exponents are very important for mathematical calculations. |
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| 6039. |
Which of the following is the correct factored form of the given equation? 4x2 - 25 = 0 4x2 - 25 = 0 (4x - 5)(x + 5) = 0 (2x - 5)(2x + 5) = 0 2(x - 5)2 = 0 |
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Answer» Which of the following is the correct factored form of the given equation? 4x2 - 25 = 0 4x2 - 25 = 0 (4x - 5)(x + 5) = 0 (2x - 5)(2x + 5) = 0 2(x - 5)2 = 0 Solution: |
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| 6040. |
Find the differential dy and evaluate dy for the given values of x and dx. y = √(1 - x), x = 0, dx = 0.02 |
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Answer» Find the differential dy and evaluate dy for the given values of x and dx.y = √(1 - x), x = 0, dx = 0.02 Solution: |
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| 6041. |
Find the 3 quartiles in the following data set: 4 5 8 7 11 9 9. |
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Answer» Find the 3 quartiles in the following data set: 4 5 8 7 11 9 9. Solution: |
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| 6042. |
If two angles are supplementary and one of them is 30°, what is the measurement of the second angle? |
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Answer» If two angles are supplementary and one of them is 30°, the measurement of the second angle is 150°. If the sum of two angles is 180° then they are called supplementary angles. |
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| 6043. |
What is the name of a 7 sided polygon called? |
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Answer» What is the name of a 7 sided polygon called? Solution: |
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| 6044. |
If you flip a coin 3 times what is the probability of getting at least 2 heads? |
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Answer» If you flip a coin 3 times, the probability of getting at least 2 heads is 1/2. Probability is defined as how likely an event is to occur. |
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| 6045. |
If an equation of the linear functionis y = mx + b, then what is m? |
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Answer» If an equation of the linear functionis y = mx + b, then m is the slope of the line. Straight lines are very important concepts in mathematics which are represented by linear equations in a cartesian plane. They have a constant slope. |
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| 6046. |
What is 2 to the power of 3? |
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Answer» 2 to the power of 3 is 8. We will solvethe given question by using the multiplication rule of exponents. |
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| 6047. |
What is the third term in the binomial expansion of (3x + y3)4? 54x2y3 18x2y3 18x2y6 54x2y6 |
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Answer» What is the third term in the binomial expansion of (3x + y3)4? Solution: |
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| 6048. |
How to write apercent as afraction? |
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Answer» Follow the steps given below to write a percent asa fraction. A percent can be written as a fraction by following the simple steps mentioned below. |
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| 6049. |
From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employees can be chosen? |
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Answer» From 5 employees at a company, a group of 3 employees will be chosen to work on a project. How many different groups of 3 employees can be chosen? Solution: |
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| 6050. |
Complete this statement: a polygon with all sides of the same length is said to be ___________ |
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Answer» Apolygon with all sides of the same length is said to be a regular polygon. A polygonis defined as a closed two-dimensional figure which comprises three or more straight lines. Common examples of polygons aretriangles, squares, pentagons, hexagons, etc. |
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