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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.
| 5901. |
Terminating decimal |
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Answer» Thus, conversion of decimal numbers to p/q depends upon the type of decimal we have Explanation: |
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| 5902. |
How to convert decimal numbers to p by q form? |
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Answer» Conversion of decimal numbers to p/q depends upon the type of decimal we have. We have different types of decimals such as terminating, non terminating repeating, etc. |
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| 5903. |
Factor completely 49x2 - 81. (7x + 9)2,(7x - 9)2,(7x + 9)(7x - 9),7x - 9 |
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Answer» Factor completely 49x2- 81. Solution: |
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| 5904. |
Write Steps to draw a Triangle ABC With AB = 6cm,BC = 8 cm and AC = 4 cm |
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Answer» The requiredtriangle ABC is constructed with AB = 6 cm, BC = 8 cm and AC = 4 cm. A triangle is a two-dimensional closed figure with 3 sides,3 angles, 3 edgesand 3 vertices. |
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| 5905. |
Find the interest due to the bank on a loan of $1,000 at 7.5% for 280 days. |
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Answer» Find the interest due to the bank on a loan of $1,000 at 7.5% for 280 days. Solution: |
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| 5906. |
How do you find the circumference of a circle with the radius? |
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Answer» Thecircumference of a circle can be found by2πr, where r is theradius of the circle. A circle is a closed curve where all points are at the same distance from the center. |
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| 5907. |
Find the sum of the interior angle measures of the polygon. |
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Answer» The formula for calculating the sum of interior angles of a polygon is (n - 2) × 180°. A polygon is a closed two-dimensional figure that comprises three or more straight lines. |
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| 5908. |
Solve the following system of equations: x - 2y = 6 and 2x - 4y = 10 |
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Answer» Solve the following system of equations: x - 2y = 6 and 2x - 4y = 10 Solution: |
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| 5909. |
The + symbol is an example of a(n) ____ operator. |
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Answer» The + symbol is an example of anarithmetic (addition) operator. Basic Arithmetic Operators are used forperformingdifferent arithmetic operations such as addition, subtraction, multiplication, anddivision. |
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| 5910. |
What is the simplified form of 200/20? |
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Answer» What is the simplified form of 200/20? Solution: |
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| 5911. |
Which statement about the end behavior of the logarithmic function f(x) = log(x + 3) - 2 is true? As x decreases, y moves toward the vertical asymptote at x = -3. As x decreases, y moves toward the vertical asymptote at x = -1. As x increases, y moves toward negative infinity. As x decreases, y moves toward positive infinity. |
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Answer» Which statement about the end behavior of the logarithmic function f(x) = log(x + 3) - 2 is true? As x decreases, y moves toward the vertical asymptote at x = -3. As x decreases, y moves toward the vertical asymptote at x = -1. As x increases, y moves toward negative infinity. As x decreases, y moves toward positive infinity. Solution: |
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| 5912. |
How to find the sum of interior angles of a polygon? |
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Answer» To find the sum of interior angles of a polygon, use the formulaS = (n − 2) × 180°. We will use the concept of the triangle and convex polygon to find the sum of interior angles. |
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| 5913. |
Solve x2 - 8x - 20 = 0 x = 4, x = -5 x = -4, x = 5 x = 2, x = -10 x = -2, x = 10 |
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Answer» Solve x2 - 8x - 20 = 0 x = 4, x = -5, x = - 4, x = 5,x = 2, x = -10,x = -2, x = 10 Solution: |
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| 5914. |
Which of the following is a solution to the equation y = 3x - 1: (a) (2, -3)(b) (1, 2)(c) (0, -1)(d) (1/2, 0) |
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Answer» Which of the following is a solution to the equation y = 3x - 1 Solution: |
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| 5915. |
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle? |
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Answer» The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle? Solution: |
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| 5916. |
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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| 5917. |
The center of a circle represented by the equation (x - 5)2 + (y + 6)2 = 42 is |
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Answer» The center of a circle represented by the equation (x - 5)2 + (y + 6)2 = 42 is Solution: |
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| 5918. |
Find the sum of 5m + 3n + p, -5p + 3n, and 2n - m. |
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Answer» Find the sum of 5m + 3n + p, -5p + 3n, and 2n - m. Solution: |
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| 5919. |
What is the equation of a tangent to a circle from an external point? |
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Answer» The equation of the tangent can be given as x\(a_1\)+y\(b_1\)= a2, where (\(a_1\), \(b_1\)) are the coordinates from which the tangent is drawn. A tangent is a straight line that touches the circle at a point and is called the tangent to the circle. The point where the tangent touches the circle is called the point of contact. |
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| 5920. |
Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°. |
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Answer» The area of a parallelogram with sides of 6 and 12 and an angle of 60° is36√3 = 62.3538 square units. The area of a parallelogram is base× height. |
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| 5921. |
A triangle has the side lengths 5, 7, and 11. Which term best describes the triangle? Acute Equiangular Equilateral Obtuse |
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Answer» A triangle has the side lengths 5, 7, and 11. Which term best describes the triangle? Solution: |
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| 5922. |
How do you find the area of a circle with the diameter? |
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Answer» The formula for the area of a circle is (π/4) × d2whenthe diameter (d) of the circle is given. The area of a circle isthe amount of space enclosed within the boundary of a circle. |
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| 5923. |
Find f(-2) for the function f(x) = 3x2- 2x + 7. |
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Answer» Find f(-2) for the function f(x) = 3x2- 2x + 7. Solution: |
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| 5924. |
What is the mode if all the numbers are different? |
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Answer» What is the mode if all the numbers are different? Solution: |
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| 5925. |
Select all of the factors of x3 + 5x2 + 2x - 8; x + 5, x - 3, x + 4, x - 1, x + 3, x + 2 |
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Answer» Select all of the factors of x3 + 5x2 + 2x - 8; x + 5, x - 3, x + 4, x - 1, x + 3, x + 2 Solution: |
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| 5926. |
A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days |
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Answer» The total number of tickets sold on all 4 days is 7707 tickets. Addition is putting two or morenumberstogether or combining them to know the total or the sum of the numbers. |
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| 5927. |
A password consists of 2 letters followed by 2 digits. How many different passwords can be formed? |
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Answer» A password consists of 2 letters followed by 2 digits. How many different passwords can be formed? Solution: |
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| 5928. |
What are the properties of the incenter of a triangle? |
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Answer» Incenter is the center of the biggest circle that can be inscribed within the circle. The incenter is the center of the largest circle that can be inscribed inside the circle. |
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| 5929. |
If A = {1, 3, 5} and B = {1, 2, 3, 4, 5, 6} then A ∪ B? |
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Answer» If A = {1, 3, 5} and B = {1, 2, 3, 4, 5, 6} then A ∪ B? Solution: |
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| 5930. |
Find a Quadratic Polynomial Whose Zeroes are -3 and 4 |
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Answer» x2 - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4 A quadratic polynomial is of the form f(x) = ax2+bx+c and a ≠ 0 |
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| 5931. |
What does b represent in the equation of a line in the form y = mx + b? |
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Answer» What does b represent in the equation of a line in the form y = mx + b? Solution: |
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| 5932. |
Use the rules for multiplication by powers of 10 to calculate 3 × 100. |
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Answer» By the rules of multiplication by powers of 10, we get3 × 100 as 300. Power and exponents are one of the most important concepts. They arevery useful when it comes to calculations, and they can represent very large numbers in a compact form in the powers of 10. |
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| 5933. |
Define the degree of a polynomial with its types |
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Answer» Classification ofthe polynomials is based on the degree of a polynomial. The degree of a polynomial can be 0, 1, 2, 3, and so on for different polynomials. Thedegree of a polynomial is the highest exponential powerof the variable in the polynomial. |
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| 5934. |
What is the y intercept of the plane whose equation is 4x + 5y - z = 20 |
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Answer» What is the y intercept of the plane whose equation is 4x + 5y - z = 20 Solution: |
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| 5935. |
Which ordered pair makes both inequalities true? y < 3x-1; y ≥ -x + 4 (4, 0) (1,2) (0, 4) (2, 1) |
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Answer» Which ordered pair makes both inequalities true? y < 3x-1; y ≥ -x + 4 (4, 0) (1,2) (0, 4) (2, 1) Solution: |
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| 5936. |
What are all the properties in math? |
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Answer» The definition of property and the properties in math are mentioned below. The properties in mathare the rules or laws or identities that are followed universally by mathematicians and are usedto solve problems more effectively. |
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| 5937. |
Factor completely 3x2 - 21. 3(x2 - 7),3(x + 7)(x - 7),3(x + 7)(x - 3),Prime |
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Answer» Factor completely 3x2- 21. Solution: |
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| 5938. |
Which of the following equations has only one solution? x2 = 9,x(x - 1) = 9,x2 - 6x + 9 = 0 |
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Answer» Which of the following equations has only one solution? Solution: |
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| 5939. |
Isthe difference of any two negative integers a negative integer? |
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Answer» The difference of any two negative integers is a negative integer. Thestatement is not necessarily true. Integers are the numbers that can be positive, negative, zero, or numbers with no fractional part. |
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| 5940. |
Which of the following represents the general term for the sequence 1, 3, 5, 7, 9, . . .? 2n - 1, n, n + 2, 2n |
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Answer» Which of the following represents the general term for the sequence 1, 3, 5, 7, 9, . . .? 2n - 1, n, n + 2, 2n Solution: |
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| 5941. |
In triangle DEF, CG = (x + 5) units and DG = (3x - 2). What is DG? 12 units,17 units,34 units,51 units |
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Answer» In triangle DEF, CG = (x + 5) units and DG = (3x - 2). What is DG?
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| 5942. |
Another name for a whole number and fraction or decimal are? |
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Answer» Another name for whole numbers is positive integers including 0 and fractions or decimals can be called rational numbers. Whole numbersincludenatural numbers(that begin from 1 onwards),along with 0. A decimalnumber system is used to express the whole number and fraction together. |
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| 5943. |
Three boys step off together from the same spot their steps measure 63 cm, 70 cm, and 77 cm respectively. What is the minimum distance each should cover so that all can cover the distance in complete steps? |
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Answer» 6930 cm We have to find the minimum distancethe boys have walked such that they are together. |
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| 5944. |
Solve for x. Round your answer to 2 decimal places. |
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Answer» The value of x rounded off to two decimal places is equal to 37.74
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| 5945. |
How to find the area of a circle with a square inside with its side length given? |
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Answer» Using the side length of the square, find the diagonal (and hence the diameter of the circle) of the square, and then apply the area formula of the circle to find its area. Asquarethat fits snuglyinsideacircleis inscribedinthecircle. Thesquare'scorners will touch, but not intersect, thecircle'sboundary, and thesquare'sdiagonal will equal thecircle'sdiameter.Also, the square's diagonal is equal to the hypotenuse of a right-angled triangle, which is also equal to the diameter of the circle. |
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| 5946. |
Let the sample space be s = {1, 2, 3, 4, 5, 6}. Suppose the outcomes are equally likely. Compute the probability of the event E = "an odd number less than 7." |
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Answer» Let the sample space be s = {1, 2, 3, 4, 5, 6}. Suppose the outcomes are equally likely. Compute the probability of the event E = "an odd number less than 7." Solution: |
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| 5947. |
Solve for x: 3|x - 3| + 2 = 14 |
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Answer» Solve for x: 3|x - 3| + 2 = 14 Solution: |
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| 5948. |
What is 25%as a fraction? |
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Answer» 25%as a fraction is 1/4 A percentageis a fraction ora ratio in which the value of the whole is always 100. |
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| 5949. |
What is the probability of drawing a card from a standard deck and choosing a king or an ace? |
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Answer» The probability of drawing a card from a standard deck and choosing a king or an aceis (1/13) ×(4/51) Probability gives the chances of how likelyan event is to occur. |
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| 5950. |
What is the negation of the following: "if n is prime then n is odd or n is 2." |
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Answer» What is the negation of the following: "if n is prime then n is odd or n is 2." Solution: |
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