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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.

7901.

How do you know if a function is even or odd algebraically?

Answer» Algebraially a function is an even function iff(-x) = f(x), and it is a odd function iff(-x) = -f(x).

Functions are the backbone of topics like calculus and trigonometry. Functions are of many types like even and odd.

7902.

What's missing from this sequence of numbers? 4, 8, 12, 20, ??, 52

Answer» What's missing from this sequence of numbers? 4, 8, 12, 20, ??, 52

Solution:

7903.

Which of the following is a factor of 500x3 + 108y¹⁸? 6, 5x + 3y6, 25x2 + 15xy6 + 9y2, all of the above

Answer» Which of the following is a factor of 500x3 + 108y¹⁸?
6, 5x + 3y6, 25x2 + 15xy6 + 9y2, all of the above

Solution:

7904.

What is the solution to -4|-2x + 6| = -24?

Answer» What is the solution to -4|-2x + 6| = -24?

Solution:

7905.

What is the next term in the sequence 58, 47, 36, 25, ...?

Answer» What is the next term in the sequence 58, 47, 36, 25, ...?

Solution:

7906.

Solve the compound inequality 6b < 24 or 4b + 12 > 4.

Answer» Solve the compound inequality 6b < 24 or 4b + 12 > 4.

Solution:

7907.

Write the equation for 5x + 2y = 3 in slope-intercept form.

Answer» Write the equation for 5x + 2y = 3 in slope-intercept form.

Solution:

7908.

What is 90 as a fraction in simplest form?

Answer» 90expressed as a fraction in simplest form is equal to 90 / 1.

A fractionisa portion or section of any quantity out of a whole, where, the whole can be any numberor a thing.

7909.

Identify the vertical asymptotes of f(x) = 10 over quantity x squared minus 7x minus 30.

Answer» Identify the vertical asymptotes of f(x) = 10 over quantity x squared minus 7x minus 30.

Solution:

7910.

(1) Remain the same (2) Decrease by 30% (3) Decrease by 15% (4) Decrease by 18.75%

Answer» If the breadth and height are halved, while the length is doubled, then the total area of the four walls of the room willdecreaseby 30%.

The area of the room is calculatedby the concept of the lateral surface areaof the cuboid.

7911.

The length, breadth, and height of a room are in the ratio 3:2:1. If the breadth and height are halved, while the length is doubled, then the total area of the four walls of the room will:

Answer» If the breadth and height are halved, while the length is doubled, then the total area of the four walls of the room willdecreaseby 30%.

The area of the room is calculatedby the concept of the lateral surface areaof the cuboid.

7912.

The number one followed by one hundred zeros is known by which name?

Answer» The number one followed by one hundred zeros is known by the name "googol".

Standard notation is also known as scientific notation where a large number is written in the form of power of 10.

7913.

Write each decimal as a fraction or mixed number a) 0.2 b) 0.6 c) 0.35

Answer» Write each decimal as a fraction or mixed number a) 0.2 b) 0.6 c) 0.35

Solution:

7914.

What is the metric si unit used for measuring length?

Answer» The metric SI unit used for measuring length is meter, also represented as 'm'

The metric system of measurement is the standard way of measuring distance, calculating height, and most of the other day-to-day items

7915.

An item has a price tag of $35 and another tag that says, "20% off." What is the sale price?

Answer» An item has a price tag of $35 and another tag that says, "20% off." What is the sale price?

Solution:

7916.

If two events, Aand B, are mutually exclusive, the probability of Aintersection B.

Answer» The probability of Aintersection Bis 0 if Aand Bare mutually exclusive.

We will use the concept of probability in order to find the probability of Aintersection B. Mutually exclusive events are two or more events thatcannot occur together.

7917.

What is 5% of 1000?

Answer» 5% of 1000 is 50.

A percentis a ratio of a number expressed out of100.

7918.

How many meters are there in 21 feet? Note: In the metric system of units: 1 meter = 100 centimeters and 1 meter:1 foot = 3.25:1

Answer» How many meters are there in 21 feet? Note: In the metric system of units: 1 meter = 100 centimeters and 1 meter:1 foot = 3.25:1

Solution:

7919.

Consider triangle GHJ. What is the length of the line segment HJ?

Answer» Consider triangle GHJ. What is the length of the line segment HJ?

7920.

What is the equation of the line that passes through the points (-12, -8) and (-17, -16)?

Answer» What is the equation of the line that passes through the points (-12, -8) and (-17, -16)?

Solution:

7921.

What are the factors of x2- 100?

Answer» What are the factors of x2- 100?

Solution :

7922.

The set of whole numbers includes all positive integers and the number 0. Is this statement correct?

Answer» Yes. The set of whole numbers includes all positive integers and the number 0.

We will use the definition of whole numbers to answer this question.

7923.

What is 3 1/4as a decimal?

Answer» 3 1/4as a decimal is 3.25.

We can define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint.

7924.

What is 4 3/8 as a decimal?

Answer» 4 3/8 as a decimal is equal to 4.375

We can also define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint. The pointin adecimalnumber is called adecimalpoint.

7925.

Which of the following are the factors of q3 - q2 + 2q - 2? (q - 1)(2 - q) (q + 1)(q2 + 2) (q - 1)(2 - q2) (q - 1)(q2 + 2)

Answer» Which of the following are the factors of q3- q2+ 2q - 2?

Solution:

7926.

What is 7/10as a decimal?

Answer» 7/10in decimal form is 0.7

Adecimalnumbercan bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint

7927.

Given the function f(x) = -5x2 - x + 20, find f(3)?

Answer» Given the function f(x) = -5x2- x + 20, find f(3)?

Solution:

7928.

What is the factored form of the polynomial? x2 + 9x + 20

Answer» What is the factored form of the polynomial? x2+ 9x + 20

Solution:

7929.

What is 23degrees Celsius in Fahrenheit?

Answer» 23°Celsiusis equal to 73.4°Fahrenheit.

The two different types of units or scales to measuretemperatureareCelsiusandFahrenheit. In other words, they are two different scales to measure the temperature.

7930.

What is 6degrees Celsius in Fahrenheit?

Answer» 6°Celsiusis equal to 42.8°Fahrenheit.

The two different types of units or scales to measuretemperatureareCelsiusandFahrenheit. In other words, they are two different scales to measure the temperature.

7931.

What is10 of 1 million?

Answer» 10 of 1 million is 10 million.

Multiplicationis also known as repeated addition andisone of the four basic operations of arithmetic. 'Of' is commonly used in multiplication and simply means multiplication.

7932.

What is 1 1/4 as a decimal?

Answer» 1 1/4 as a decimal is equal to 1.25

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.

7933.

Choose the solution(s) of the following system of equations: x2 + y2 = 6 and x2 - y = 6 No solution,(√6, 0),(√5, 1),(√5, -1),Infinitely many solutions,(-√6, 0),(-√5, 1), (-√5, -1)

Answer» Choose the solution(s) of the following system of equations: x2+ y2= 6 and x2- y = 6

Solution:

7934.

What is 1 1/2 as a decimal?

Answer» 11/2as a decimal is equal to 1.5

We can also define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint. The pointin adecimalnumber is called adecimalpoint.

7935.

What is an equation of the line in slope-intercept form m = 4 and the y-intercept is (0, 5)

Answer» What is an equation of the line in slope-intercept form m = 4 and the y-intercept is (0, 5)

Solution:

7936.

Name a parallelogram with four congruent sides and four right angles.

Answer» Square is a parallelogram with four congruent sides and fourright angles.

A parallelogramis a quadrilateral whose opposite sides are parallel and equal in length.

7937.

The sum of the two numbers is 405 and the ratio between the numbers are 8 : 7. Find the numbers.

Answer» The two numbers whose sumis 405 and ratio is8 : 7 are 216 and 189

Aratioshows the relative sizes of two or more values.

7938.

Add 3.1421, 0.241, and 0.09 and give your answer with correct precision.

Answer» Adding 3.1421, 0.241, and 0.09 with correct precision gives 3.47

Decimalsrepresent any real number expressed in base 10.

7939.

Find the LCM of (2/3,4/9,5/6,7/12)

Answer» The LCM of (2/3,4/9,5/6,7/12) is 140/3

Lowest common multiple, or smallest common multiple of two integers a and b, usually denoted bylcm(a, b), is the smallest positive integer that is divisible by both a and b

7940.

Convert 87 g and 28 mg to kg

Answer» 87 g and 28 mg in terms of kg is equal to 0.087 kg and 0.000028 kg

Kilograms, Gramsand Milligramsare measuring units used to measure mass and weights.

7941.

How to find the equation of a secant line given two points?

Answer» The equation of a secant line given two points(a, b) and (c, d) isy - b = [(d - b)/(c - a)] (x - a)

We will use the two-point form to find theequation of a secant line.

7942.

Is it possible for a data set to have no mode?

Answer» Yes. It is possible for a data set to have no mode. If the data set hasno mode then mode cannot be used as a central tendency instead we can use mean and median as a measure of central. tendency.

Mode is thefrequency of occurring events.

7943.

How to find out what a number is a percentage of another number?

Answer» To find out how much a number(A) is a percentage of another number (B), we can use the formula: A/B× 100%.

A percentage is an important tool in mathematics, employed to know the certain ratio in a concise form.

7944.

How to solve roman numerals?

Answer» Roman Numerals are converted to Whole numbersand then they are solved, andfinally theresult is converted back to roman numerals.

Roman numeralsare a numeral system that originated in ancient Rome and remained the usual way of writing numbers throughout Europe using different representations of numbers and letters.

7945.

What are the values of a1 and r of the geometric series? 2 – 2 + 2 – 2 + 2

Answer» The values of \(a_1\)andr are 2 and -1 respectively.

Geometric series is a series of numbers where the ratio between any two consecutive termsis always the same.

7946.

What do we mean by square and triangle numbers?

Answer» Trianglenumbers are the ones which gives a triangular pattern and square numbers are the ones which are perfect squares and results by the multiplication of an integer with itself.

Triangle and Square numbers are special numbers that follows a specific pattern

7947.

What is 47/8 as a decimal?

Answer» 47/8 as a decimal is 4.875.

We can also define adecimalnumberas thenumber whose fractional part and the whole numberpart are separated by adecimalpoint. The pointin adecimalnumber is called adecimalpoint.

7948.

Solve for x: 2x-17/2-(x- x-1/3) =12

Answer» The value of x for the given equation (2x-17)/(2-(x- x-1/3)) =12 is 45/2

Anequationcan bedefinedas a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

7949.

Find the ratio of the circumference of a circle to its diameter.

Answer» The ratio of the circumference of a circle to its diameter isπ : 1

Diameter of a circleis the largest chord that is passing through the centre.

7950.

For a Perfectly Symmetrical Distribution with µ = 30, What is the mode?

Answer» For a Perfectly Symmetrical Distribution with µ = 30, Mode is equal to 30.

We will be using the concept of Mean, Median, and Mode to solve this.