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.
| 7701. |
Give a function that is positive for the entire interval [–3, –2]and is represented by a downward parabola. |
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Answer» A function that is positive in the entire interval [-3, -2]is -x2-5x - 5. Functions are one of the main concepts used in mathematics. A positive function in an interval implies that the range of the function is greater than 0 in that interval. |
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| 7702. |
If h(x) = 5x - 3 and j(x) = -2x, solve h[j(2)] and select the correct answer below. 17, 23, -17, -23 |
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Answer» If h(x) = 5x - 3 and j(x) = -2x, solve h[j(2)] and select the correct answer below. 17, 23, -17,-23 Solution: |
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| 7703. |
What is the HCF of 1.75, 5.6 and 7? |
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Answer» The HCF of 1.75, 5.6, and 7 is 0.35 The largest possible number which divides the given numbers exactly without any remainder is called theHCF (Highest Common Factor). |
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| 7704. |
If two matrices have the same numbers in them, then they are equal. T/F. Explain with example. |
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Answer» False We will use the concept of matrices to find the answer. |
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| 7705. |
Simplify completely quantity x squared plus 12 x plus 35 all over 3 x plus 15. |
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Answer» Simplify completely quantity x squared plus 12 x plus 35 all over 3 x plus 15. Solution: |
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| 7706. |
What is the rule for adding integers with different signs? |
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Answer» What is the rule for adding integers with different signs? Solution: |
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| 7707. |
What is the value of the expression 2x2+3xy-4y2 when x = 2 and y = - 4? |
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Answer» What is the value of the expression 2x2+3xy-4y2 when x = 2 and y = - 4? Solution: |
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| 7708. |
What is 4/10 as a decimal? |
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Answer» The fraction 4/10 written as a decimal number is equal to 0.4. A fraction can be a portionor section of any quantity out of a whole. We will express4/10 as a decimal. |
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| 7709. |
What is 1½as a decimal? |
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Answer» 1½as a decimal is equal to 1.5. Bothfractionsanddecimalsare just two ways to represent the same numbers. |
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| 7710. |
If xy + 5ey = 5e, find the value of y'' at the point where x = 0. |
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Answer» If xy + 5ey = 5e, find the value of y'' at the point where x = 0. Solution: |
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| 7711. |
What is 36 as aFraction? |
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Answer» 36 as a fraction would be written as 36/1 or 360/10 Fractions can be either positive or negative. |
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| 7712. |
If x is a number that is 7 more than y, how do you express x as a function of y? |
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Answer» If x is a number that is 7 more than y, then x as a function of y is expressed as f (y) = x = 7 + y. A functionshows the relationship between two variables where one of them is independent and the other being the dependent variable. For a function, every x should have a unique value of y. |
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| 7713. |
What is the solution (q, r) to this system of linear equations? 12q + 3r = 15 - 4q - 4r = - 44 |
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Answer» What is the solution (q, r) to this system of linear equations? 12q + 3r = 15 - 4q - 4r = - 44 Solution: |
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| 7714. |
The length of the curve y = x4from x = 1 to x = 5 is given by? |
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Answer» The length of the curve y = x4from x = 1 to x = 5 isln|500+ 53√89|-ln|4+ √17|. We will be using the arc length formula to get the exact length of the curve and solve this. |
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| 7715. |
What is the formula for calculating the length of the diagonal of a right rectangular prism? |
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Answer» The formula for calculating the length of the diagonal of a right rectangular prism is √(l2+w2+h2).wherel isthe length, w isthe width and h is the height. The diagonal of a right rectangular prism is the line that connects opposite vertices of a prism. |
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| 7716. |
What is 5/3as a decimal? |
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Answer» The fraction 5/3 written as a decimal is equal to 1.67. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint. For example, 2.3 is a decimal number in 2 is a whole number part and 3 is a fractional part. |
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| 7717. |
What is the purpose of the prefixes in the metric system? |
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Answer» What is the purpose of the prefixes in the metric system? Solution: |
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| 7718. |
17/4 as aMixed Number |
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Answer» 17/4 as a mixed number is 4 ¼. A mixed number is a fraction that contains a whole and a fraction. It is obtainedwhen the numerator and denominator of animproper fraction are divided and is written as Quotient (Remainder/Divisor). |
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| 7719. |
What is the simplified base for the function f(x) = 2? |
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Answer» What is the simplified base for the function f(x) = 2? Solution: |
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| 7720. |
What is 3/8 inch to decimal? |
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Answer» 3/8 inch to decimal is 0.375 We can also define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint. The pointin adecimalnumber is called adecimalpoint. An inchis a unit of British Imperial and the United States Customary whose measure is also equal to 1/ 36thof a yard, which can also be written as 1 /12th of thefoot. |
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| 7721. |
What are the coordinates of the vertex for f(x) = x2 + 4x + 10? |
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Answer» What are the coordinates of the vertex for f(x) = x2+ 4x + 10? Solution: |
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| 7722. |
If i is raised to an odd power, then it cannot simplify to be? -1, -i, i |
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Answer» If i is raised to an odd power, then it cannot simplify to be? Solution: |
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| 7723. |
The figure above is a regular octagon with radii and an apothem drawn. What is m∠1, m∠2? |
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Answer» The figure above is a regular octagon with radii and an apothem drawn. What is m∠1, m∠2?
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| 7724. |
What is 1.5 as a fraction? |
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Answer» 1.5 as a fraction is written as 3/2 Fractions form an integral part of Mathematics. All the fundamental operations that are performed over integers can be performed over fractions as well. |
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| 7725. |
Find all solutions in the interval [0, 2π], cos2x + 2 cosx + 1 = 0 |
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Answer» Find all solutions in the interval [0, 2π], cos2x + 2 cosx + 1 = 0 Solution: |
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| 7726. |
If cos θ = negative 4 over 7, what are the values of sin θ and tan θ? |
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Answer» If cos θ = negative 4 over 7, what are the values of sin θ and tan θ? Solution: |
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| 7727. |
If the sum and the product of the zeroes of polynomial ax2- 5x + c are equal to 10 each. Find the values of a and c. |
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Answer» The value of a = 1/2 and value of c = 5 forax2- 5x + c. The sum and product of the polynomial have a direct relationship with the coefficients. |
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| 7728. |
If the sum of 7 and 9 is more than 12 add 3; if less, subtract 2. What is the correct answer? |
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Answer» The sum of 7 and 9 is greater than 12, so the correct answer is 19. Fundamental operations are the basis of mathematics. They include four operations: addition, subtraction, multiplication and division. Let's solve a problem based on these. |
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| 7729. |
What is the Arc Length of an Angle of π/3 Radians Formed on the Unit Circle? |
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Answer» TheArc Length of an Angle of π/3 Radians Formed on the Unit Circle isπ/3. We will be using the formula of arc length to solve this. |
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| 7730. |
How do you find the Area of the Parallelogram with Vertices k(1,2,3), l(1,3,6), m(3,8,6), and n(3,7,3)? |
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Answer» The Area of the Parallelogram with Vertices k(1,2,3), l(1,3,6), m(3,8,6), and n(3,7,3) is√265. We will be using the concept of cross-product of two adjacent vectors, a and b to findthe area of the parallelogram when vertices given. |
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| 7731. |
What is 0.05 as a fraction? |
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Answer» 0.05as a fraction is written as 1/20 Fractions form an integral part of Mathematics. All the fundamental operations that can be performed over integers can be performed over fractions as well. |
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| 7732. |
What is 1 8th inch in decimal? |
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Answer» 1/8th inch in decimal is 0.125 We can also define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint. The pointin adecimalnumber is called adecimalpoint. An inchis a unit of British Imperial and the United States Customary whose measure is also equal to 1/ 36thof a yard, which can also be written as 1 /12th of thefoot. |
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| 7733. |
How to find the area of a segment of a circle? |
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Answer» The area of a segment of a circle is obtained by subtracting the area of the triangle at the center, from the area of the sector of the circle. Let's look at how to find the area of a segment of a circle with the help of theexample below. A segment of a circle is the region enclosed by a chord and an arc so formed touching the endpoints of the chord. |
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| 7734. |
For an experiment in which a single die is rolled, the sample space may be {1, 1, 2, 3, 4, 5}. What is the probability of getting a 1? |
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Answer» For an experiment in which a single die is rolled, the sample space may be {1, 1, 2, 3, 4, 5}. What is the probability of getting a 1? Solution: |
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| 7735. |
What is 2 3/8 as a decimal? |
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Answer» The fraction 23/8 as adecimal is equal to 2.375 Decimalshavea whole numberand the fractional part separated by a decimal point. The decimalpresent between the whole number and fractions part is called the decimal point. For example, 3.5 is a decimal number. |
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| 7736. |
What do the angles in a triangle add up to? |
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Answer» In a triangle, the three interior angles always add to 180° In a Euclidean space, the sum of angles of a triangle equals 180 degrees.Whether a triangle is an acute, obtuse, or a right triangle, the sum of the angles will always be180º.Thus,the angle sum property states that the sum of the angles of a triangle is equal to180º. |
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| 7737. |
The formula for the area of a trapezoid with altitude k and bases m and n is . A = k/2(m + n). Solve for m. |
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Answer» The formula for the area of a trapezoid with altitude k and bases m and n is . A = k/2(m + n). Solve for m. Solution: |
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| 7738. |
What is 2/7 as a decimal? |
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Answer» 2/7 as a decimal is0.285 Adecimalnumber can bedefinedas a number whose whole number part and the 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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| 7739. |
What is 2¾as a decimal? |
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Answer» 2¾ can be written as 2.75 in its decimal form. Adecimalnumbercan bedefinedas a number whose whole number part and fractional part are separated by adecimalpoint. |
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| 7740. |
What is 3 to the 2ndpower? |
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Answer» 3raised to the secondpower is equal to 32= 9. Theexponentof a number shows how many times the number ismultipliedby itself. |
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| 7741. |
What is 0.35 as a fraction? |
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Answer» 0.35 as a fraction is 7/20 Fractions form an integral part of Mathematics. All the fundamental operations that can be performed over integers can be performed over fractions as well. |
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| 7742. |
The quotient of (x4+ 5x3– 3x – 15) and a polynomial is (x3– 3). What is the polynomial? |
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Answer» The polynomial by which (x4+ 5x3– 3x – 15) has to be divided to get the quotient as (x3– 3) is (x + 5). Apolynomialis a type of expression in which the exponentsof allvariablesshould be awhole number. |
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| 7743. |
How do you convert 0.2 into fraction? |
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Answer» 0.2 when converted into a fraction is 1/5. Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. A fraction is represented as a numerical value that can be defined as a part of a whole. |
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| 7744. |
Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots. |
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Answer» Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots. Solution: |
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| 7745. |
What is 0.69 expressed as a fraction in simplest form? |
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Answer» 0.69 expressed as a fraction in simplest form is equal to 69/100. A fractioncan bea portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing. |
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| 7746. |
Which equation represents a line that passes through (2, -1/2) and has a slope of 3? y - 2 = 3(x + 1/2) y - 3 = 2(x + 1/2) y + 1/2 = 3(x - 2) y + 1/2 = 2(x - 3) |
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Answer» Which equation represents a line that passes through (2, -1/2) and has a slope of 3? Solution: |
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| 7747. |
14/ 5 as aMixed Number |
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Answer» 14/5 as a mixed number would be written as 2 4/5. Explanation: |
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| 7748. |
What is the radius of the circle whose equation is x2 + y2 = 9? |
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Answer» What is the radius of the circle whose equation is x2+ y2= 9? Solution: |
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| 7749. |
Given the exponential equation 3x = 243, what is the logarithmic form of the equation in base 10? |
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Answer» Given the exponential equation 3x = 243, what is the logarithmic form of the equation in base 10? Solution: |
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| 7750. |
What is 5/32 to decimal? |
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Answer» 5/32 as a decimal is expressed as 0.15625 Adecimalnumber can bedefinedas a number whose whole number part and the 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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