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.
| 3601. |
(4) 1/3 πrl |
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Answer» The Curved Surface Area of a cone isπrl. The curved surface area of a cone is the measurement (perimeter) of the curved face. |
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| 3602. |
(3) πrl2 |
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Answer» The Curved Surface Area of a cone isπrl. The curved surface area of a cone is the measurement (perimeter) of the curved face. |
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| 3603. |
(2) πrl |
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Answer» The Curved Surface Area of a cone isπrl. The curved surface area of a cone is the measurement (perimeter) of the curved face. |
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| 3604. |
(1) 1/3 πr2 |
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Answer» The Curved Surface Area of a cone isπrl. The curved surface area of a cone is the measurement (perimeter) of the curved face. |
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| 3605. |
The curved surface area of a cone of slant height l and radius r is given by: |
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Answer» The Curved Surface Area of a cone isπrl. The curved surface area of a cone is the measurement (perimeter) of the curved face. |
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| 3606. |
What is the difference between a rate and a ratio? |
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Answer» Rate is predominantly calculated for two values with different units, while the ratio is for the same units or even different in some cases. A rate is simply a type of ratio. |
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| 3607. |
What is the equation of the line perpendicular to the line y = 4/9x - 2 that passes through the point (4, 3)? |
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Answer» What is the equation of the line perpendicular to the line y = 4/9x - 2 that passes through the point (4, 3)? Solution: |
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| 3608. |
What will be the value of the square root of 7 as a fraction? |
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Answer» The value of√7 as a fraction is2645/1000. Square root is a special exponent offractional exponentswith power 1/ 2. |
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| 3609. |
A solid iron cuboidal block of dimensions 4.4 m× 2.6 m× 1 m is cast into a hollow cylindrical pipe of an internal radius of 30 cm and thickness of 5 cm. Find the length of the pipe? |
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Answer» The height of the hollow cylindrical pipe with an internal radius of 30 cm and thickness of 5 cm cast from the given solid block is 112m. Volumes are very important quantities that have many real-life applications. Starting from the gas cylinder in your homes to laboratory tests in hospitals, preciseness of volumes of substances is always kept in mind. Now let's solve a problem regarding volumes of cylinders and blocks. |
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| 3610. |
Is the mean and median the same in a normal distribution? |
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Answer» Yes, Mean and Median are the same in a normal distribution. The Normal distribution, informally called the bell curve, is a continuous statistical distribution of real-world random data points. |
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| 3611. |
Find an equation for the nth term of the arithmetic sequence. a19 = -58, a21 = -164 |
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Answer» Find an equation for the nth term of the arithmetic sequence. a19 = -58, a21 = -164 Solution: |
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| 3612. |
Graph the first six terms of a sequence where a1 = 4 and r = 2. |
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Answer» Graph the first six terms of a sequence where a1= 4 and r = 2. Solution: |
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| 3613. |
What is 1/16 as a percent |
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Answer» 1/16is equivalent to 6.25%. Converting afractionto percent means converting the whole into 100 and find how many are considered out of 100. |
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| 3614. |
Solve the given differential equation by separation of variables. x dy/dx = 6y. |
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Answer» Solve the given differential equation by separation of variables. x dy/dx = 6y. Solution: |
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| 3615. |
What are the different operations conducted on real numbers? |
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Answer» The operations that can be conducted on real numbers are addition, subtraction, multiplication and division. Real numbers can be considered the backbone of mathematics. Almost every quantity we deal with, in real life, is measured in real numbers. These are the numbers that can be represented in the cartesian plane and the number line. Real numbers can be rational and irrational. Different operations can be performed on these numbers. |
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| 3616. |
The radius of the earth is 6,380 kilometers. What is the radius of the earth in centimeters? |
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Answer» The radius of the earth is 6,380 kilometers. What is the radius of the earth in centimeters? Solution: |
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| 3617. |
What are the solutions of 3x² + 14x + 16 = 0? |
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Answer» What are the solutions of 3x² + 14x + 16 = 0? Given: A quadratic equation: 3x² + 14x + 16 = 0 |
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| 3618. |
List the methods used for solving linear equations in two variables. |
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Answer» The methods usedfor solving linear equations in two variables are the graphing method, substitution method, elimination method and matrix method. Linear equations are one of the most important concepts of mathematics which are used in various other fields in engineering and science to obtain values of different parameters and quantities. There are many ways to solve a linear equation. Let's have a look at those ways on this blog. |
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| 3619. |
What is the Subtraction Property of linear inequalities? |
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Answer» The subtraction property of linear inequalities says that if we subtract a number from one side of an inequality, we have to subtract that same number from the other side of the inequality as well. Linear inequalities are defined as expressions when two values are compared using the inequality symbolssuch as, ‘<’, ‘>’, ‘≤’ or ‘≥’. examples of linear inequalities are10<11, x>y, x ≥ z > 11, and x+7<√2, etc. |
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| 3620. |
If BDis both the altitude and median of Δ ABCthen what kind of Δ is ABC? |
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Answer» Δ ABC is an isosceles triangle. A triangle is a polygon that has three sides, three edges and three vertices. |
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| 3621. |
Find the equation of a line parallel to y = -5x + 4 and passing through a point (-1, 4). |
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Answer» Theequation of a line parallel to y = -5x + 4 and passing through a point (-1,4) is y = -5x - 1. Linear equations and straight linesform an integral part of mathematics. They are used in various applications in many fields. By using its properties, we can find the equation of a line parallel to another line and passing through a particular point. Let's see how with the help of an example. |
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| 3622. |
The sum S of first n natural numbers is given by S = n(n + 1) /2. If S = 231, find n. |
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Answer» The value of n when the sum of natural numbers S = 231 is n = 21. Natural Numbers can be considered the backbone of mathematics. Almost all the numbers which we deal with in real life are natural numbers. The natural numbers start from one and can go up to infinite values. We can also find the sum of consecutive natural numbers directly by using a formula. Let's find out how. |
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| 3623. |
Find the integral of sinx/x. |
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Answer» Answer : The expression on integrating sin x / x is x - (x3/3×3!) + (x5/5×5!) - (x7/7×7! ) + ....+ C We can make use of taylor series of expansion. |
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| 3624. |
What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12? |
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Answer» What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x -12? Solution: |
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| 3625. |
Given 2 vectors A = 4.00i + 3.00j and B = 5.00i - 2.00 j how do you find the magnitude and direction of the vector difference A - B? |
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Answer» Given 2 vectors A = 4.00i + 3.00j and B = 5.00i - 2.00 j how do you find the magnitude and direction of the vector difference A - B? Solution: |
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| 3626. |
If x = 3 (y + w) - 1, what is the value of w in terms of x and y? |
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Answer» [( x + 1 ) / 3 ] - y = w , value of w in terms of x and y We will use the concept of transposition to find the value of w in terms of x and y. |
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| 3627. |
What is the value of x in the equation 3x -y = 18, when y = 27? 5,7,45,63 |
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Answer» What is the value of x in the equation 3x -y = 18, when y = 27? Solution: |
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| 3628. |
Use the Euler formula to find the missing number of faces if vertices:15, Edges: 24. |
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Answer» For 15 vertices and 24 edges, the number of faces is equal to 11. We will use Euler's formula to find the missing number of faces. |
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| 3629. |
Find the slope of a line parallel to 3x – y = 1. |
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Answer» The slope of a line parallel to3x – y = 1 is equal to 3. We will use the concept of straight lines to find the slope of a line parallel to3x – y = 1. |
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| 3630. |
Find an equation of the plane containing the point (0,1,1) and perpendicular to the line passing through the points (2,1,0) and (1,−1,0)? |
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Answer» The equation of a plane containing the point (0,1,1) and perpendicular to the line passing through the points (2,1,0) and (1,−1,0) is x - 2y + 2 = 0. If aplane passes through the point(x1, y1, z1), the equation of a plane is represented as A(x - x1)+B(y- y1)+C(z - z1) = 0. |
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| 3631. |
How to find the standard deviation of the difference between two means? |
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Answer» The expression for calculating the standard deviation of the difference between two means is given byz = [(x1 - x2) - (µ1- µ2)] / sqrt ( σ12 / n1 + σ22 / n2) Statistical analyses are very often concerned with the difference between means. |
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| 3632. |
How to convert standard form to vertex form by completing the square? |
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Answer» Hence, the standard vertex form isy =(x + 6)2- 4 We will use the concepts of factorization of polynomial and quadratic equationsto convert standard form to vertex form by completing the square. |
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| 3633. |
a = 4, B = 52°, Find b, c andangle A. |
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Answer» ∠A = 38°, b =5.11 and c =8.30 The definition for a right triangle states that if one of the angles of a triangle is a right angle 90º, the triangle is called a right-angled triangle. |
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| 3634. |
Use the right triangle and the given information to solve the triangle: |
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Answer» ∠A = 38°, b =5.11 and c =8.30 The definition for a right triangle states that if one of the angles of a triangle is a right angle 90º, the triangle is called a right-angled triangle. |
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| 3635. |
Write the equation of the line that passes through (3, 4) and (2, -1) in slope-intercept form. |
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Answer» Write the equation of the line that passes through (3, 4) and (2, -1) in slope-intercept form. Solution: |
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| 3636. |
How to determine if a graph is symmetric with respect to the origin? |
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Answer» To determine if a graph is symmetric with respect to the origin, we have to check whether we get the same equation back when we replace y by -y and x by -x. Graphs can be used to predict whether a function is even or odd. This is usually determined by checking the symmetry of a particular function about the y-axis or the origin. If the graph is symmetric about the y-axis, then it is even, whereas, if the graph is symmetric about the origin, then it is odd. Let's see how we can check the symmetry with respect to the origin. |
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| 3637. |
What is .5 repeating as a fraction? |
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Answer» 0.5repeating as a fractioncan be written as 5/9. Fractions are a very important conceptthat isused in advanced mathematics topics as well. The repeating or recurring fractions are those which have an infinite number of decimal places following a pattern. |
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| 3638. |
What is the length of the side of a square whose diagonal is 15? |
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Answer» The side lengthof a square whose diagonal is 15 units is equal to10.6units.
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| 3639. |
Integrate (1 / 1 + cot x) |
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Answer» ∫ (1 /1 + cot x) dx is x/2+ 1/2 log(sin x +cos x) + c Cot x is an inverse trigonometric identity and can be expressed as cos x / sin x. |
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| 3640. |
Find the exact length of the curve. y = 3 + 8x3/2, 0 ≤ x ≤ 1 |
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Answer» Find the exact length of the curve. y = 3 + 8x3/2, 0 ≤ x ≤ 1 Solution: |
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| 3641. |
What is 7/16 as a decimal? |
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Answer» 7/16 as a decimal is equal to0.4375. Fractionsanddecimalsare two ways to represent the same numbers. 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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| 3642. |
d)y = -2x + 9 |
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Answer» The line of best fit using two points on the line (2 8) (8 5)is option (b) y = -(1/2)x +9 Aline is a figure formed when two points are connected with minimum distance between them, and both the ends extended to infinity. |
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| 3643. |
c) y = 2x + 9 |
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Answer» The line of best fit using two points on the line (2 8) (8 5)is option (b) y = -(1/2)x +9 Aline is a figure formed when two points are connected with minimum distance between them, and both the ends extended to infinity. |
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| 3644. |
b) y = - (1/2)x + 9 |
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Answer» The line of best fit using two points on the line (2 8) (8 5)is option (b) y = -(1/2)x +9 Aline is a figure formed when two points are connected with minimum distance between them, and both the ends extended to infinity. |
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| 3645. |
a) y = (1/2)x + 9 |
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Answer» The line of best fit using two points on the line (2 8) (8 5)is option (b) y = -(1/2)x +9 Aline is a figure formed when two points are connected with minimum distance between them, and both the ends extended to infinity. |
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| 3646. |
Estimate the line of best fit using two points on the line (2 8) (8 5). |
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Answer» The line of best fit using two points on the line (2 8) (8 5)is option (b) y = -(1/2)x +9
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| 3647. |
What is the equation in the standard form of a parabola that models the values in the table? |
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Answer» What is the equation in the standard form of a parabola that models the values in the table? Solution: |
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| 3648. |
Write 1/3 + 2/5 as a fraction. |
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Answer» Write 1/3 + 2/5 as a fraction. Solution: |
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| 3649. |
Find the area of a trapezoid with bases of 8cm and 16cm and a height of 10cm. |
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Answer» Find the area of a trapezoid with bases of 8cm and 16cm and a height of 10cm. Solution: |
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| 3650. |
15 Percent as a fraction in simplest form |
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Answer» 15% is expressed as 3/20 as a fraction. Percent is a part or a portion out of 100. Fraction is a numerical value that represents a part of a whole. |
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