Explore topic-wise InterviewSolutions in .

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.

6901.

How do you convert 7/20 as a decimal and a percent?

Answer» 7/20 is written as 0.35 in terms of decimals and 35% when expressed as a percentage.

A number is converted to a percentage when it is expressed in terms of 100. Decimals are numbers in which the whole number part and the fractional part is separated by a decimal point.

6902.

Which are the solutions of the quadratic equation? x2 = -5x.

Answer» Which are the solutions of the quadratic equation? x2= -5x.

Solution:

6903.

How many solutions does this linear system have y = –x + 4x + 2y = –8?

Answer» The given system of the linear equation has only 1 solution.

We will use the concept of linear equations in one variable to find the number of solutions.

6904.

If you flip a fair coin 10 times. What is the probability of getting at least one tail?

Answer» If you flip a fair coin 10 times. What is the probability of getting at least one tail?

Solution:

6905.

Simplify square root of 3 multiplied by the fifth root of 3.

Answer» Square root of 3 multiplied by the fifth root of 3is 3(710)

Let's look into the product lawam × an = am+nunderexponent rule

6906.

Find 3 irrational numbers between root 2 and root 3.

Answer» The 3 irrational numbers between root 2 and root 3 are 1.575775777..., 1.4243443..., and1.686977...

Irrational numbers are very important concepts that form the backbone of many other branches of mathematics. These are the subsets of real numbers, just like rational numbers. Let's solve a question related to irrational numbers.

6907.

Which value must be added to the expression x2-3x to make it a perfect-square trinomial?

Answer» Which value must be added to the expression x2- 3x to make it a perfect-square trinomial?

Solution:

6908.

If $1,000,000 of 8% bonds are issued at 101, the amount of cash received from the sale is

Answer» If $1,000,000 of 8% bonds are issued at 101, the amount of cash received from the sale is

Solution:

6909.

If 40 is subtracted from 60% of a number, the result is 50. Find the number.

Answer» The number is 150.

In mathematics, a percentage is a number or ratio that isrepresented in terms of 100.

6910.

How do you prove sin (A + B) ×sin (A -B) = sin2A - sin2B ?

Answer» sin (A + B) ×sin (A -B) = sin2A - sin2B

The above expression can be proved by using algebraic identity as well as trigonometric identity.

6911.

Kevin is 3 years older than Daniel. two years ago, Kevin was 4 times as old as Daniel. How old is Kevin now?

Answer» Kevin is 3 years older than Daniel. two years ago, Kevin was 4 times as old as Daniel. How old is Kevin now?

Solution:

6912.

In the given figure, ΔABC is an obtuse triangle, obtuse angled at B. If AD⊥CB , then prove that AC2 = AB2 + BC2 + 2BC.BD

Answer» In the given figure, ΔABC is an obtuse triangle, obtuse angled at B. If AD⊥CB , then prove that AC2 = AB2 + BC2 + 2BC.BD ?

6913.

If 3 times a number minus 2 equals 13, what is the number?

Answer» If 3 times a number minus 2 equals 13, then the number is 5.

The given question is based on alinear equation in one variable.

6914.

Describe Graphing Linear Equations.

Answer» The linear equations can be represented on a graph as a straight line.

Linear equations are equations whose degree is one. They are used in various fields of engineering and science for calculating the values of various parameters and quantities. They can be represented in a cartesian plane depending on their equations.

6915.

Find the general solution of the given system. dx / dt = 7x − y dy / dt = 5x + 3y.

Answer» General solution of the given system dx / dt = 7x − y dy / dt = 5x + 3y isx(t) = e5t(A cost + B sint) and y(t) =e5t [(2A + B)cost+ (2B +A)sint]

We will use the concept of the parametric form of the expression in order to find the general form.

6916.

What is the equation of the quadratic graph with a focus of (6, 0) and a directrix of y = −10?

Answer» The equation of the quadratic graph with a focus of (6, 0) and a directrix of y = −10 isx2-12x - 20y = 64.

We will use the concept of focal point and directrix to find the equation.

6917.

Find a vector that has the same direction as (−4, 6, 6) but has length 6.

Answer» A vector that has the same direction as (−4, 6, 6) but has length 6 is(−12/√22, 18/√22, 18/√22).

We will be using the concept of scaling and the similarity of the vectors.

6918.

Find the slope and y-intercept of a line given its equation in the form ax + by = c.

Answer» For an equation of the line in the form ax + by = c, y-intercept = (c / b) and slope = -(a / b)

We will use the concept of a straight line in order to find the slope and y-intercept.

6919.

Factorise the equation 6x2-5x-6.

Answer» The factors of 6x² - 5x-6 are(2x-3) (3x+2)

A quadratic expression isa polynomialof degree 2.We use the middle term factorization to solve this problem.

6920.

What is the next number in the sequence? 55, 34, 21, 13, 8…?

Answer» What is the next number in the sequence? 55, 34, 21, 13, 8…?

Solution:

6921.

How to write a ratio as a fraction?

Answer» We can write a ratio as a fraction by writing the left side of the ratio as the numerator, and the right side as the denominator.

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.

6922.

What is the equation of the quadratic graph with a focus of (5, 6) and a directrix of y = 2?

Answer» The equation of the quadratic graph with a focus of (5, 6) and a directrix of y = 2isx2-10x - 8y + 57 = 0.

We will use the concept of focal point and directrix to find the equation.

6923.

None of the above

Answer» Which of the following equations is the translation 2 units left of the graph of y = |x|?

Solution:

6924.

Which of the following equations is the translation 2 units left of the graph of y = |x|? y = |x| - 2 y = |x - 2| y = |x + 2|

Answer» Which of the following equations is the translation 2 units left of the graph of y = |x|?

Solution:

6925.

Describe how to transform the graph of f into the graph of g if f(x) = √(x - 9) and g(x) = √(x - 59).

Answer» Describe how to transform the graph of f into the graph of g if f(x) =√(x - 9)and g(x) =√(x - 59).

Solution:

6926.

At what points will the line y = x intersect the unit circle x2 + y2 = 1?

Answer» At what points will the line y = x intersect the unit circle x2 + y2 = 1?

Solution:

6927.

Four angles of a polygon are 100° each. The remaining angles are 160° each. Find the number of sides of the polygon.

Answer» The number of sides of a polygon which has four angles of 100° measure and the rest of the angles of 160°measureis 6.

For any polygon with sides 'n', the number of interior angles will also be 'n'.

6928.

Find the derivative of 1/ x.

Answer» Find the derivative of 1/ x.

Solution:

6929.

Find a cartesian equation for the curve:r = 8 sin(θ) + 8 cos(θ).

Answer» The cartesian equation for the curve r = 8 sin(θ) + 8 cos(θ) is(x − 4)2+ (y − 4)2= 32.

Polar coordinates are used to represent different curves in the polar plane. Like cartesian coordinates, the polar coordinates have two parameters: the magnitude r and the phase angleθ. They are helpful in representing circular objects on the plane.

6930.

Which of the following is a zero for the function f(x) = (x + 3)(x - 7)(x + 5)? x = -7,x = -3,x = 3,x = 5

Answer» Which of the following is a zero for the function f(x) = (x + 3)(x - 7)(x + 5)?
x = -7,x = -3,x = 3,x = 5

Solution:

6931.

If f(x) = 3x + 2 and g(x) = x2 + 1 which expression is equivalent to (f*g)(x) (3x + 2)(x2 + 1) 3x2 + 1 + 2 (3x + 2)2 + 1 3(x2 + 1) + 2

Answer» If f(x) = 3x + 2 and g(x) = x2+ 1 which expression is equivalent to (f*g)(x)

Solution:

6932.

The area of the region between the graph of y = 3x2 + 2x and the x-axis from x = 1 to x = 3 is

Answer» The area of the region between the graph of y = 3x2+ 2x and the x-axis from x = 1 to x = 3 is

Solution:

6933.

What is 3/20 as a decimal?

Answer» 3/20 as a decimal is0.15.

Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint.

6934.

How do you find the terminal point p(x, y) on the unit circle determined by the giving value of t = -3π/4

Answer» How do you find the terminal point p(x, y) on the unit circle determined by the giving value of t = -3π/4

Solution:

6935.

What is 3/16 to decimal?

Answer» 3/16 to decimal is0.1875.

Adecimalnumber can bedefinedas a number whose whole number part and the fractional part are separated by adecimalpoint.

6936.

What is 75% of 40?

Answer» 75% of 40 is 30.

Let us calculate the value of 75 % of 40.

6937.

How do you Use the Distributive Property to Simplify 4(x + 3)?

Answer» Using the distributive property, 4(x+3) can be simplified as 4x +12.

The distributive property is a property of multiplication used in addition and subtraction.

6938.

The list price for a window is $220. net price is $160. What is the trade discount rate?

Answer» The list price for a window is $220. net price is $160. What is the trade discount rate?

Solution:

6939.

What is 40 minutes in decimal?

Answer» 40 minutes in decimal is0.666

Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint.

6940.

What is the HCF of 1045 and 1520 by division method?

Answer» HCF of 1045 and 1520 is 95

HCF (Highest Common Factor) of twonumbers is the highest number that divides the two numbers exactly leaving theremainder 0

6941.

How Do You Write 4 3/4 As An Improper Fraction?

Answer» 4 3/4 as an improper fraction is 19/4

Let us see how to convert a mixed fraction to animproper fraction. An improper fraction can be converted into a mixed fraction and is written as Quotient (Remainder/Divisor)

6942.

What constantcan be added to x2 - 6x to form a perfect square trinomial?

Answer» 9 needs to be added to x2- 6x to make it a perfect square.

A perfect square is an expression that can be expressed as a square of a real number.

6943.

What is the value of x in the equation 4(2x + 12) = 0?

Answer» What is the value of x in the equation 4(2x + 12) = 0?

Solution:

6944.

For which of the following equations are x = 5 and x = –5 both solutions?, (a).x2+ 25 (b).x2- 10 (c).x2- 25 (d).x2+ 10

Answer» Here x = 5, and x = -5 are both solutions of the equation (c) x2-25

We will use the concept of a quadratic equation to find the required equation.

6945.

What is the 4th term when 8 + 2x2 - 4x4 + 7x3 is arranged in descending order?

Answer» What is the 4th term when 8 + 2x2 - 4x4 + 7x3 is arranged in descending order?

Solution:

6946.

Find tan 22.5 degree using the Half-angle Formula?

Answer» The value of tan 22.5 degree is√2 – 1

In a right-angled triangle, the tangent of an angle is defined as the ratio oflength of the side opposite to the angle tothe length of the adjacent side.

6947.

What is the equation of a circle whose center is (3, 5) and whose radius is 2 cm?

Answer» What is the equation of a circle whose center is (3, 5) and whose radius is 2 cm?

Solution:

6948.

What is 7/4 as a decimal?

Answer» 7/4as a decimal is 1.75.

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 which 2 is a whole number part and 3 is a fractional part.

6949.

What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4?

Answer» What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4?

Solution:

6950.

How to express x to the power of 2?

Answer» xto the power of 2can be expressed as x2= (x)× (x)

Power in exponents is defined as the total number of times we use the number ina multiplication.For example 2 to the power 3 means 2 is multiplied 3 times.