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.
| 7751. |
What is the slope of the line passing through the points (2, -5) and (4, 1)? |
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Answer» What is the slope of the line passing through the points (2, -5) and (4, 1)? Solution: |
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| 7752. |
What are the approximate solutions of 5x2 - 7x = 1, rounded to the nearest hundredth? |
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Answer» What are the approximate solutions of 5x2- 7x = 1, rounded to the nearest hundredth? Solution: |
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| 7753. |
What is 3 1/2 as a decimal? |
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Answer» 3 1/2as a decimal is 3.5. We can define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint. |
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| 7754. |
The system of a quadratic equation and a linear equation may have how many intersection points? |
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Answer» The system of a quadratic equation and a linear equation can have either 0, 1, or 2 possible intersection points. An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values. |
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| 7755. |
Solve the differential equation du/dt = (5 + t4) / (ut2 + u4t2) |
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Answer» Solve the differential equation du/dt = (5 + t4) / (ut2 + u4t2) Solution: |
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| 7756. |
12/5 as aMixed Number. |
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Answer» 12/5 as a mixed number would be expressed as 2 2/5. An improper fraction can be written as a mixed number by dividing the numerator and denominator and writing it in the form of Quotient (Remainder/Divisor) |
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| 7757. |
15/8 as aMixed Number |
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Answer» 15/8 as a mixed number would be written as 1 7/8. A mixed number generally represents a number between any two given whole numbers. |
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| 7758. |
What is the remainder when you divide 4x3 - 5x2 + 3x - 1 by x - 2? |
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Answer» What is the remainder when you divide 4x3 - 5x2 + 3x - 1 by x - 2? Solution: |
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| 7759. |
0.25 as aFraction in Simplest Form. |
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Answer» 0.25 as a fraction would be written as 1/4. The fraction in the simplest form means when the fraction can no more be divided into further more steps. |
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| 7760. |
What is 12% as a fraction? |
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Answer» 12% can be represented as 3/25 as afraction. AFractioncan be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing. All fractions consist ofa numerator and a denominator. |
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| 7761. |
According to the number line, what is the distance between points Aand B? |
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Answer» According to the number line, the distance between points Aand Bis 14 units.
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| 7762. |
Which conversion factors are used to multiply to 12 m/s to get kilometers per minute? 60 s = 1 min 1 km = 1000 m 1min = 60 s 1000 m = 1 km |
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Answer» Which conversion factors are used to multiply to 12 m/s to get kilometers per minute? Solution: |
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| 7763. |
11/4 as a Mixed Number. |
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Answer» 11/4 as a mixed number is 2 3/4. Let's convert 11/4 a fraction into a mixed number. |
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| 7764. |
What is 9/10 as a decimal? |
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Answer» 9/10 as a decimal is expressed as 0.9 Fractionsanddecimalsare two ways to represent the same numbers. Adecimalnumber can bedefinedas a number whose whole number part and fractional part is separated by adecimalpoint. A fraction is represented as a numerical value that is defined as a part of a whole. |
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| 7765. |
Find the value of k such that the polynomial x2- (k + 6)x + 2(2k - 1) has the sum of its zeros equal to half of their product. |
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Answer» The value of k is 7. A polynomialis a type of expression in which the exponentsof allvariablesshould be awhole number. |
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| 7766. |
Which of the following is an equivalent form of the compound inequality -22 > -5x - 7 ≥ -3? |
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Answer» Which of the following is an equivalent form of the compound inequality -22 > -5x - 7 ≥ -3? Solution: |
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| 7767. |
How do you multiply a whole number and a fraction? |
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Answer» We multiply a whole number and a fraction by multiplying thewhole number with the numerator of the fraction and write the product obtained as the numerator over the same denominator. Also, reduce it to the simplest form if there's any common factor. AFractioncan be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing. All fractions consist ofa numerator and a denominator. Whole numbers are the set of counting numbers that start from 0. |
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| 7768. |
A whale comes to the surface to breathe and then dives at an angle of 20.0 ∘ below the horizontal. If the whale continues in a straight line for 200 m, how deep is it? |
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Answer» A whale comes to the surface to breathe and then dives at an angle of 20.0 ∘ below the horizontal. If the whale continues in a straight line for 200 m , how deep is it? Solution: |
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| 7769. |
Find the length of the line segment that joins the points (2, 5) and (9, 8). |
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Answer» Find the length of the line segment that joins the points (2, 5) and (9, 8). Solution: |
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| 7770. |
In order to apply the law of cosines to find the length of the side of a triangle, it is enough to know which of the following ?the area of a triangle ? The measure of an angle and the length of the side opposite that angle ? the lengths of the two triangle sides and the measure of the angle between them ? |
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Answer» In order to apply the law of cosines to find the length of the side of a triangle, it is enough to know which of the following ? the area of a triangle ? The measure of an angle and the length of the side opposite that angle ? the lengths of the two triangle sides and the measure of the angle between them ? Solution: |
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| 7771. |
What is the least number of acute angles a triangle can have? |
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Answer» A triangle must have at least 2 acute angles in it. The Sum of interior angles of a polygon is always (n - 2) ×180º. |
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| 7772. |
What is the vertex of the function f(x) = x2 + 12x? (-6, -36), (-6, 0), (6, 0), (6, -36) |
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Answer» What is the vertex of the function f(x) = x2 + 12x? (-6, -36), (-6, 0), (6, 0), (6, -36) Solution: |
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| 7773. |
What logarithmic function represents the data in the table? f(x) = logx5 f(x) = 6 logx5 f(x) = log6x f(x) = log6x |
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Answer» What logarithmic function represents the data in the table? Solution: |
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| 7774. |
Prove that (root 2 + root 5 ) is irrational. |
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Answer» Hence, it is proved that √2 + √5is an irrational number. Rational numbers are integers that are expressed in the form of p / q where p and q are both co-prime numbers and q is non zero. Irrational numbers do not satisfy this condition. |
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| 7775. |
Howto find the distance between a point and a line? |
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Answer» The distance of a point from the line is given by the formula: (a\(x_1\)+ b\(y_1\)+ c) / √(a2 + b2). The shortest distance between a point and a line is known as the perpendicular distance between them. |
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| 7776. |
What is the arc length when θ = 4 pi over 7 and the radius is 5 cm? |
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Answer» What is the arc length when θ = 4 pi over 7 and the radius is 5 cm? Solution: |
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| 7777. |
What is 0.03 as a percentage? |
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Answer» 0.03 as a percentage is 3% We have to convert a decimal number to percent. |
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| 7778. |
What is a factor of 144 − 49x2? |
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Answer» What is a factor of 144 − 49x2? Solution: |
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| 7779. |
How to find how many standard deviations are away from the mean? |
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Answer» The value of standard deviation, away from mean is calculated by the formula,X =µ ±Zσ The statement signifies the magnitude of the standard deviation deferred from the mean of the data. |
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| 7780. |
If x is a binomial random variable with n = 10 and p = 0.8, the mean value of x is? |
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Answer» If x is a binomial random variable with n = 10 and p = 0.8, the mean value of x is? Solution: |
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| 7781. |
What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? (-1, -3); (-1, 3); (1, -3); (1, 3) |
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Answer» What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? (-1, -3); (-1, 3); (1, -3); (1, 3) Solution: |
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| 7782. |
What is the value of the discriminant for the quadratic equation -3 = -x2 + 2x? |
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Answer» What is the value of the discriminant for the quadratic equation -3 = -x2+ 2x? Solution: |
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| 7783. |
How to integrate ln x/x? |
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Answer» Thefinal integral of ln x/x is (1/2) ln(x)2+ c. To findIntegration of ln x/x, we will use the substitutionrule for integration. |
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| 7784. |
What is f(x) = 8x2+ 4x written in vertex form? |
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Answer» What is f(x) = 8x2+ 4x written in vertex form? Solution: |
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| 7785. |
Which of the number(s) below are potential roots of the function?q(x) = 6x3 + 19x2 – 15x – 28 ± 2/3, ± 7/2, ± 1/7, ± 6, ± 14, ± 3/5 |
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Answer» Which of the number(s) below are potential roots of the function?q(x) = 6x3+ 19x2– 15x – 28 ± 2/3, ± 7/2, ± 1/7, ± 6, ± 14, ± 3/5 Solution: |
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| 7786. |
Express 8 divided by 3 as a fraction. |
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Answer» The value of 8 divided by 3as a fraction is 2⅔. To writea fraction in its simplest form meansthe numeratorand denominator can no longer be divided by the same whole number exactly or evenly. |
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| 7787. |
How to find the HCF of 1.2 and 0.12? |
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Answer» The HCF of1.2 and 0.12 is 0.12 The HCFof the two numbers1.2 and 0.12 is the largest possible number which divides both the numbers completely. |
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| 7788. |
What is 3/5 as a decimal? |
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Answer» 3/5 as a decimal is 0.6 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. |
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| 7789. |
How to find the vertical and horizontal asymptotes of a rational function? |
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Answer» We can find the asymptotes by calculating the zeros of the denominator and checking for the degrees of numerator and denominator. We need to make sure to check for all the removable discontinuities from the rational function. |
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| 7790. |
What is the equation of a vertical line passing through the point (3, -5)? |
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Answer» What is the equation of a vertical line passing through the point (3, -5)? Solution: |
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| 7791. |
Calculate the number of subsets and the number of proper subsets for the set {1, 2, 3, 4, 5}. |
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Answer» Theset {1, 2, 3, 4, 5} has32 subsetsand 31 proper subsets. A subset is nothing but a part of a set. |
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| 7792. |
If the HCF of two numbers is 1, what could be the numbers? |
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Answer» If the HCF of two numbers is 1, the numbers are called co-prime numbers. The Highest common factor of any set ofnumbers is the largest possible number which dividesthe given numbers exactlywithout any remainder. |
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| 7793. |
What is the area of the shaded sector of the circle from the given figure? |
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Answer» What is the area of the shaded sector of the circle from the given figure?
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| 7794. |
Which sequence of y-values was formed from the function y = -2x - 9 using whole numbers for x? |
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Answer» Which sequence of y-values was formed from the function y = -2x - 9 using whole numbers for x? Solution: |
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| 7795. |
The sum of a rational number and a rational number is a rational number. Is this statement true? |
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Answer» Yes. The sum of a rational number and a rational number is a rational number. A rational numberis a number that can be written in the form a/bwherea is an integer and b is a non-zero integer. |
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| 7796. |
What is 0.08 as aFraction? |
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Answer» 0.08 as a fraction iswritten as 8/100 or 2/25 The line in a fraction that separates the numerator and the denominator is named a vinculum, |
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| 7797. |
Is 12 O'clock in the afternoon am or pm? |
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Answer» 12 O'clock in the afternoon is pm. The 12-hour clock method defines all 24 hours of the day using numbers 1 to 12, followed by am or pm. |
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| 7798. |
How do you find the zeros of a polynomial (step by step)? |
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Answer» To find the zeros of the polynomial, we need to solve the given polynomial by using suitable methods. All the values of xthat make the polynomial equal to zero are calledzeroes of a polynomial. |
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| 7799. |
What is the slope of the line passing through the points (-3, 4) and (4, -1)? |
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Answer» What is the slope of the line passing through the points (-3, 4) and (4, -1)? Solution: |
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| 7800. |
How many zeros does the function f(x) = 2x14 - 14x6 + 27x3 - 13x + 12 have? |
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Answer» How many zeros does the function f(x) = 2x14 - 14x6 + 27x3 - 13x + 12 have? Solution: |
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