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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.

7501.

Given the parent functions f(x) = log10 x and g(x) = 5x - 2, what is f(x).g(x)?

Answer» Given the parent functions f(x) = log10 x and g(x) = 5x - 2, what is f(x).g(x)?

Solution:

7502.

____ is equivalent to ten lakh in the international system of numeration?

Answer» 1 Million is equivalent to Ten Lakh in the International System of numeration.

10 lakhs equal to 1 million.

7503.

Simplify the given expression below: (3 + 4i) + (5 - 2i)

Answer» Simplify the given expression below: (3 + 4i) + (5 - 2i)

Solution:

7504.

What are the zeroes of f(x) = x2- 6x + 8? x = -4, 2 x = -4, -2 x = 4, 2 x = 4, -2

Answer» What are the zeroes of f(x) = x2- 6x + 8? x = - 4, 2 x = - 4, - 2 x = 4, 2 x = 4, - 2

Solution:

7505.

What is 3/32 to decimal?

Answer» 3/32 as a decimal is expressed as 0.09375

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.

7506.

A ball has a radius of 1 foot. What is the surface area of the ball?

Answer» A ball has a radius of 1 foot. What is the surface area of the ball?

Solution:

7507.

What is 5/9 as a decimal?

Answer» 5/9 as a decimal is0.556

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

7508.

What is the sum of the geometric sequence 1, 3, 9, ... if there are 14 terms?

Answer» What is the sum of the geometric sequence 1, 3, 9, ... if there are 14 terms?

Solution:

7509.

Volume is measured in what units?

Answer» Volume is measured in cubic units.

Volume isthe space enclosed/occupied by any 3-dimensional object or solid shape.

7510.

What is 2/4as a decimal?

Answer» 2/4as a decimal is equal to 0.5

Adecimalnumberisa number that has thewhole number part and the fractional part that is 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.

7511.

How much does a gram weigh on a digital scale?

Answer» Accuracy and unit decide how much a gram is measured on a digital scale.

A digital scale is generally more accurate in terms of readings than an analog scale.Agramis a unit of mass equal to one-thousandth of a kilogram.

7512.

Explain how to solve 5x2 - 3x = 25 by completing the square. What are the solutions?

Answer» Explain how to solve 5x2- 3x = 25 by completing the square. What are the solutions?

Solution:

7513.

A word or phrase used to show division in a word problem.

Answer» Here are some words or phrases used to show division in a word problem.

Division is one of the four basic mathematical operations.

7514.

Select the coordinates of two points on the line y = -2. (2, -2) and (-2, 2) (-2, -2) and (-2, 0) (2, -2) and (0, -2) (-2, 2) and (-2, -2)

Answer» Select the coordinates of two points on the line y = -2.

Solution:

7515.

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form. What is the answer?

Answer»
Marcus needs to rewrite f(x) = f(x) = x2 + 6x + 4 in vertex form. What is the answer?

Solution:

7516.

If A and B are mutually exclusive events with P(A) = 0.2 and P(B) = 0.6, then find P(A ∪ B).

Answer» If A and B are mutually exclusive events with P(A) = 0.2 and P(B) = 0.6, then find P(A ∪ B).

Solution:

7517.

How can we find the area of a sector of a circle?

Answer» The area of a sector of a circle is given byθ°/360°×πr², whereθ° is the angle formed by the sector and r is the radius of the circle.

The circles are very important and interesting shapes that are used for various purposes. They have many interesting properties which we must study in order to get our concepts cleared. The sector of a circle is a part of thecircle formed by two radii and an arc of a certain length. Imagine pizza slices to get a better idea!

7518.

Find all solutions to the equation in the interval [0, 2π). sin 2x - sin 4x = 0

Answer» Find all solutions to the equation in the interval [0, 2π). sin 2x - sin 4x = 0

Solution:

7519.

Find the slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3.

Answer» Find the slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3.

Solution:

7520.

In the formula, = 2 + 6 × 2, addition would be calculated after multiplication?

Answer» Yes, in the formula, = 2 + 6 × 2, the addition would be calculated after multiplication.

Wefollow the order of operations to perform operations in an arithmetic expression.

7521.

What is the product of five square root five times six square root four? Simplify your answer.

Answer» What is the product of five square root five times six square root four? Simplify your answer.

Solution:

7522.

Is the diagonal of a square equal to its sides?

Answer» No, the diagonal of a square is not equal to its sides.

A square is a closed two-dimensional figure with four sides and four corners. The length of all four sides is equal and angles at the corners are right-angles.

7523.

What is descriptive statistics?

Answer» The branch of statistics that involves organizing, displaying, and describing data isDescriptive Statistics.

Statistics is a branch of math that deals with the collection, analysis, interpretation,and presentation ofdata.

7524.

Arectangle is a square but a square is not a rectangle: TRUE or FALSE?

Answer» A rectangle is a square but a square is not a rectangle is a false statement.

The rectangle and square are two-dimensional quadrilaterals with lots of similarities.

7525.

What is 5/8 as adecimal?

Answer» 5/8as a decimal is expressed as 0.625

Fractionsanddecimalsare two ways to represent the same numbers. Adecimalnumber can bedefinedas a number whose whole number part and fractional part are separated by adecimalpoint. A fraction is represented as a numerical value that is defined as a part of a whole.

7526.

Factorize 5x3 - 135 5, x - 3, x2 + 3x + 9, All of the above

Answer» Factorize 5x3 - 135
5, x - 3, x2 + 3x + 9, All of the above

Solution:

7527.

Fill in the number that fits best: 1, 2, 4, 7, 11, …, 22.

Answer» The number that fits best in the sequence1, 2, 4, 7, 11, …, 22 is 16.

The problem is based on the pattern of numbers.

7528.

What is the area of a circle with a diameter of 6 units?

Answer» The area of a circle with a diameter of 6 units is 28.27 sq. units or9π square units.

Acircleis a collection of points on a two-dimensional plane, which are equidistant from the center point 'O'.

7529.

What is the arc length of the arc subtended in a circle with radius 6 and an angle of 7/8 radians?

Answer» What is the arc length of the arc subtended in a circle with radius 6 and an angle of 7/8 radians?

Solution:

7530.

What are the zeros of the function, f(x) = x4- 4x3 + 3x2, andwhat are their multiplicities?

Answer» The zeros ofthe function,f(x) = x4- 4x3+ 3x2are x = 0, 1, and 3 and their multiplicities are 2, 1, and 1 respectively.

We will be using the concept of zeros ofa polynomialand their multiplicitiesto solve this.

7531.

The sum of two numbers is 24. One number is 2 times as large as the other. What are the numbers?

Answer» The sum of two numbers is 24. One number is 2 times as large as the other. What are the numbers?

Solution:

7532.

Findthe number that is 1/4 of 1/2 of 1/5 of 200.

Answer» 1/4 of 1/2 of 1/5 of 200 is equal to 5

The given question is based on the concept of multiplication.

7533.

How many square feet are there in 288 square inches? (Note that 1 foot = 12 inches)

Answer» How many square feet are there in 288 square inches? (Note that 1 foot = 12 inches)

Solution:

7534.

What is 0.8125 as a fraction?

Answer» 0.8125 as a fraction is expressed as 13/16

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.

7535.

Jim measures the side of a box and finds it to be 0.564 meters long. How long is it in centimeters?

Answer» Jim measures the side of a box and finds it to be 0.564 meters long. How long is it in centimeters?

Solution:

7536.

Let U = {1, 2, 3,4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find (B-C)'.

Answer» If U = {1, 2, 3,4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6} then ( B - C )' ={1, 3, 4, 5, 6, 7, 9}

A set is a distinct collection of objects and elements that can be represented in a roaster form or set builder form.

7537.

Find the roots of the polynomial equation. x3 - 2x2 + 10x + 136 = 0

Answer» Find the roots of the polynomial equation. x3 - 2x2 + 10x + 136 = 0

Solution:

7538.

What is 3/4 of 16?

Answer» The 3/4th of 16 is 12

A fraction can be a portionor section of any quantity out of a whole.

7539.

How to express x to the power of 3?

Answer» xto the power of 3can be expressed as x3= (x)× (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.

7540.

If 3 ÷ 1 = n, then n is between

Answer» The value of n = 3. Assumingn∈ Z, nis between 2and 4.

Integersare whole numbers including negative numbers.

7541.

Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 3π/4?

Answer» Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 3π/4?

Solution:

7542.

How does the length of the hypotenuse in a right triangle compare to the lengths of the legs?

Answer» How does the length of the hypotenuse in a right triangle compare to the lengths of the legs?

Solution:

7543.

What is the average number of weeks in a month?

Answer» The average number of weeks in a month is 4.345

Every month has at least 4 full weeks and 1, 2, or 3 days extra. For example, months with 30 days like April, June, September, etc have 4 weeks + 2 days extra and the months with 31 days like January, March, May etchave 4 days + 3 days extra. February has exactly 4 weeks and during a leap year, it has 1-day extra.

7544.

Find the standard form of the equation of the parabola with the given characteristics. Vertex: (4, 3); focus: (6, 3)

Answer» Find the standard form of the equation of the parabola with the given characteristics. Vertex: (4, 3); focus: (6, 3)

Solution:

7545.

How do you write adecimal as afraction?

Answer» Follow the below steps to get the desired answer.

The conversion of decimal to fraction and vice-versa is very important and helpful to know.

7546.

Write the number names according to the Indian system and International system a) 236749 b) 48670002

Answer» Write the number names according to the Indian system and International system a) 236749b)48670002

Solution:

7547.

Convert 70 minutes to seconds.

Answer» There are 4200 seconds in 70 minutes.

We know that there are 60 seconds in one minute.

7548.

How to find the domain and range of a parabola?

Answer» Domain and range of a parabola can be found out using basic graph-based knowledge.

A parabola is a quadratic polynomial function that can be plotted as per a quadratic function only.

7549.

What is the area of a sector of a circle with a radius of 8 inches and an angle of 45 degrees?

Answer» The area of the sector of the circle with a radius of 8 inches and an angle of 45 degrees is25.13inch2.

The area of the sector is defined as the area of the part of the circle, defined by the angle of the sector.

7550.

How to express 1/2to the power of 3?

Answer» 1/2to the power of 3can be expressed as (1/2)3= (1/2) × (1/2)× (1/2) = 1/8

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