Maths General Knowledge Questions and Answers

Answer: A) Abacus

Explanation:

The abacus is the first calculating device; dating back thousands of years. It was commonly used to execute fundamental Mathematical operations like addition, subtraction, multiplication, and division. The abacus is made up of beads or counters strung on rods, and its design allowed for quick and accurate calculations.

Answer: D) 6

Explanation:

A perfect number is a positive integer whose total of appropriate divisors (excluding it) is equal to one. The proper divisors of the number 6 are 1, 2, and 3, and their sum is 1 + 2 + 3 = 6, making it a perfect number.

Answer: D) Issac Newton

Explanation:

In the late 17^th century, the English Mathematician Isaac Newton discovered calculus. They also invented differential and integral calculus.

Answer: C) Ada Lovelace

Explanation:

Ada Lovelace, a Mathematician, and writer from England, is often considered the world's first computer programmer. She worked on Charles Babbage's planned mechanical general-purpose computer, the Analytical Engine, in the nineteenth century.

Answer: A) Euclid

Explanation:

Euclid, an ancient Greek Mathematician is considered the Father of Geometry. He is well known for his book "Elements," which was a thorough collection of geometric knowledge at the time.

Answer: A) Hipparchus

Explanation:

Hipparchus was recognized as the Founder of Trigonometry. He was an ancient Greek astronomer and Mathematician who flourished between 190 and 120 BCE. Hipparchus invented trigonometry to overcome problems of celestial navigation and the motion of celestial bodies. He constructed a chord table, which is considered one of the earliest trigonometric tables.

Answer: C) Hero of Alexandria

Explanation:

Hero of Alexandria, also known as Heron, was a Greek Mathematician who developed different Mathematical principles, notably the square root of numbers. He published "Metrica," a treatise in which he elaborated methods to find the square roots of whole integers and fractions.

Answer: C) A√2

Explanation:

The diagonal of a square is equal to 2 times the length of its side (also known as its "A" side length), A√2.

As a result, the correct formula is A√2.

Answer: A) Even number

Explanation:

The number 0 is considered an even number. Even numbers are integers that are exactly divisible by 2 and got 0 remainder. For example - 0 divided by 2 = 0, which fits the definition of an even number.

Answer: A) Forwards or backward

Explanation:

A palindromic number is a number that is the same when written forwards or backward. Ex – 66, 101, 111, 121

Answer: B) The square root of 2

Explanation:

The Pythagorean constant is defined as the square root of 2 (1.41421356237). The Pythagorean constant is used to calculate the length of a right triangle's hypotenuse or one of its other sides.

Answer: D) Eratosthenes

Explanation:

Eratosthenes, an ancient Greek Mathematician, geographer, and astronomer, was the first to measure the Earth's circumference with considerable accuracy. Based on his measurements and computations, Eratosthenes estimated the Earth's diameter to be roughly 39,375 kilometers (24,662 miles), which is very close to the real amount.

Answer: C) Prasanta Chandra Mahalanobis

Explanation:

P.C. Mahalanobis was known as the "Father of Indian Statistics." Mahalanobis was best known for creating the Mahalanobis distance, a statistical measure commonly used in multivariate research.

Answer: A) ∏

Explanation:

In Mathematics, the sign "∏" is referred to as the product symbol. It is the sum of a series of numbers or phrases. For example, if we have a sequence of numbers s1, s2, s3, n, the product of these numbers can be expressed as ∏ (si).

Answer: C) Because

Explanation:

In Mathematical reasoning, the sign "∵" is used to denote "because." It is frequently used to indicate the explanation or reasons for a particular statement or conclusion. When you encounter the symbol "∵" in a Mathematical argument or proof, it signifies that the assertion that comes after it is a result or consequence of the information that came before it.

Answer: D) All of the above

Explanation:

All of the following symbols are routinely used to signal the end of a proof:

• □ (a small square): This is a conventional and well-known symbol for indicating the end of a proof.
• ⊓ (double up tack): Though less prevalent, it is yet employed as an "end of proof" symbol by some authors.
• ► (right-pointing triangle): This sign is used to indicate the end of a proof on occasion.

Different authors or Mathematical communities may prefer different symbols to mark the end of a Mathematical proof, but all of the options given are viable choices.

Answer: B) Arithmetic series

Explanation:

An example of an arithmetic series is 2 + 5 + 8 + 11 + 14... Each term in an arithmetic series is created by adding a constant value (common difference) to the preceding term. The common difference between consecutive phrases in this situation is 3 because each term is created by adding 3 to the previous term.

Answer: C) Divergent series

Explanation:

The sum of a divergent series expands indefinitely as the number of terms increases. In other words, as more terms are added to a divergent series, the total of the terms does not approach a finite number; instead, it becomes indefinitely huge.

The harmonic series is an example of a divergent series:

1 + 1/2 + 1/3 + 1/4 + 1/5 +

Answer: D) Geometric series

Explanation:

A geometric series is represented by the series 1 + 2 + 4 + 8 + 16 + ... Each term in a geometric series is obtained by multiplying the previous term by a constant value known as the common ratio. The common ratio between consecutive phrases in this situation is 2 because each term is created by multiplying the previous term by 2.

1 × 2 = 2
2 × 2 = 4
4 × 2 = 8
8 × 2 = 16 and so on.

Answer: B) 1

Explanation:

The given series is a geometric series, and the sum of the terms can be calculated using the formula:

Sum = a / (1 - r), where 'a' is the first term, and 'r' is the common ratio.

In the series, a=1/2, r =1/2 < 1 and sum =

Therefore, sum = 1.

Answer: B) P series

Explanation:

A "P series" is one in which the common exponent is a positive real constant number. The terms in a P series take the form: 1/n^p, where "n" is a positive integer and "p" is a positive real constant number.

The series 1/1^p + 1/2^p + 1/3^p + 1/4^p +... is an example of a P series.

Answer: B) False

Explanation:

The number 1 is not considered as a prime number.

Answer: A) Fibonacci series

Explanation:

The Fibonacci sequence can be found in nature. It is a number sequence in which each number is the sum of the two preceding numbers. The series begins with 0 and 1 and proceeds by adding the previous two numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, The Fibonacci sequence can be found in many areas of nature, such as the arrangement of leaves on a stem, the distribution of seeds in a sunflower, rabbit breeding patterns, and so on.

Answer: C) 4

Explanation:

A composite number is a positive integer bigger than one with more than two positive divisors (that is, it is divided by more than simply 1 and itself). In the case of 4, the divisors are 1, 2, and 4, resulting in a composite number.

Answer: C) 97

Explanation:

Only 97 are considered as a prime number. A prime number is a natural number that is divisible by 1 and itself. 97 is only divisible by 1 and 97, which indicates that it is a prime number.

Answer: D) 71, 73, 79, 83, 89

Explanation:

The prime numbers between 70 and 90 are as follows: 71, 73, 79, 83, and 89.

Answer: A) 49, 27, 80

Explanation:

The composite numbers from the given numbers are: 49, 27, and 80.

Answer: C) 31

Explanation:

The initial prime numbers are as follows: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31 is the eleventh prime number.

Answer: A) Positive

Explanation:

Prime numbers are natural numbers higher than one that have no positive divisors other than one and themselves. They are always positive integers. Negative integers are not considered prime numbers.

Answer: C) Undefined

Explanation:

A number divided by zero is referred as an "undefined" number. In Mathematics, division by zero is not defined, and attempting to do so yields an indeterminate result. For example, "5 divided by 0" is undefined and cannot be represented by any real integer.

Answer: A) Simple Interest = (Principal x Rate x Time) / 100

Explanation:

The correct formula is: Simple Interest = (Principal x Rate x Time) / 100,

Where,

• The principal is the original amount borrowed or invested.
• The annual interest rate (expressed as a percentage) is known as the rate.
• Time is the duration (in years) for which money is borrowed or invested.

Answer: A) (1 / 3 )πr²h

Explanation:

Volume = (1/3)πr²h is the formula for calculating the volume of a cone.

Where,

• r is the radius of the cone's circular base.
• The height of the cone is given by h.
• A cone's volume is one-third that of a cylinder with the same base and height.

Answer: C) Mode

Explanation:

The most often occurring value in a data set is referred to as the "Mode." The mode in statistics is a value that appears the most frequently in a particular set of data. Depending on the frequency of occurrence of values, a data set can have one mode (unimodal), two modes (bimodal), or more (multimodal).

Answer: B) Cot A

Explanation:

tan(90° - A) = cot(A).

The tangent of the complementary angle (90° - A) equals the cotangent of angle A.

Answer: A) 1

Explanation:

The sum of sin² θ and cos² θ is equal to one. This identity is true for all trigonometric angles. It demonstrates the basic link between the sine and cosine functions in a right triangle.

Answer: C) 25%

Explanation:

We can use the following calculation to get Rahul's overall profit margin:

Profit Margin = (Net Profit / Net Sales) * 100

And, Net Profit = Net Sales - Total Expenses

Net Profit = 100,000 - 75,000 = 25,000

Now, we can calculate the profit margin:

Profit Margin = (25,000 / 100,000) * 100 = 25%

Rahul's entire profit margin is thus 25%.

Answer: D) 0

Explanation:

A constant function's derivative, such as f(x) = 100, is always zero.

If f(x) is a constant (a fixed value that does not change with regard to x), then its derivative with respect to x is: f'(x) = 0

As a result, when f(x) = 100, the derivative f'(x) is 0.

Answer: C) Scalene Triangle

Explanation:

All three sides of a scalene triangle are in different lengths. It is a triangle with no sides of equal length and no angles of equal measure. An isosceles triangle has two equal-length sides, an equilateral triangle has three equal-length sides, and an obtuse triangle has one angle greater than 90 degrees.

Answer: B) 180 Degrees

Explanation:

The sum of a triangle's interior angles is always 180 degrees. This trait applies to all triangles, regardless of size or shape. The sum of the triangle's three internal angles is always 180 degrees, whether the triangle is equilateral, isosceles, scalene, acute, right-angled, or obtuse.

Answer: A) Supplementary

Explanation:

The sum of the interior angles and the sum of the exterior angles of a triangle are additional to each other. This means that the sum of the interior angles plus the sum of the exterior angles equals 180 degrees.

Answer: C) Area= (Base * height )/2

Explanation:

To compute the area of an isosceles triangle, use the formula: Area = (base * height) / 2

Where,

• The base is the length of the base of the isosceles triangle.
• The height is the perpendicular distance from the base to the opposite vertex.

Answer: C) Transitivity property states that: If△ ABC ∼△ DEF and△ DEF ∼△ XYZ, then △ ABC ∼△ XYZ

Explanation:

According to the Transitivity property of triangle similarity, if two triangles are similar to one another and one of them is similar to a third triangle, then the first triangle is also similar to the third triangle.

Answer: D) 7

Explanation:

There are seven types of triangles, based on different criteria and properties: equilateral, right isosceles, obtuse isosceles, obtuse scalene, acute isosceles, right scalene, and acute scalene.

Answer: B) (n-2)*180

Explanation:

The correct formula for calculating the sum of the internal angles of a triangle is:

Interior Angle Sum = (n - 2) * 180 degrees

Where "n" is the number of sides (or vertices) of the polygon, and "n" is 3 for a triangle.

Answer: A) John Wallis

Explanation:

English Mathematician John Wallis is credited with popularizing the infinity symbol () in its contemporary form in the 17th century. In his work "Arithmetica Infinitorum" published in 1655, he utilized the sign to depict the concept of infinity.

Answer: B) 16

Explanation:

256's square root is 16.

A number's square root is a value that, when multiplied by itself, yields the original number. Because 16 * 16 = 256 in this situation, the square roots of 256 are 16.

Answer: D) Diameter

Explanation:

The diameter of a circle is the distance measured across its center between two points on its perimeter. It is the circle's longest chord, passing through the center and dividing it into two equal halves. The radius is twice as long as the diameter.

Answer: D) 2

Explanation:

There are two axes in an ellipse:

• Major Axis: The ellipse's longest diameter, which runs through the center and has, ends on the ellipse's farthest points.
• Minor Axis: The ellipse's shortest diameter, which runs through the center, and its ends are located on the ellipse's narrowest points.

Answer: A) πr1r2

Explanation:

The formula for calculating the area of an ellipse is: Area = π * r1 * r2

Where:

• The length of the semi-major axis (half of the major axis) is denoted by r1.
• The length of the semi-minor axis (half of the minor axis) is given by r2.
• (pi) is a Mathematical constant that is roughly equivalent to 3.14159.

Answer: C) PercentChange = ((NewValue - OldValue) / OldValue) x 100

Explanation:

To compute the percentage difference between an old and new value use the following formula: ((NewValue - OldValue) / OldValue) 100

Where:

• OldValue represents the initial or "before" value.
• The ultimate value, or "after" value, is NewValue.
• This formula computes the percentage difference between the old and new values. The outcome specifies whether the change is positive or negative, and by how much.

Answer: C) 60

Explanation:

The explanation is:

• The prime factors of 12 are 2² and 3 (since 12 = 2 * 2 * 3).
• The prime factors of 20 are 2² and 5(since 20 = 2 * 2 * 5).
• Now, taking the greatest possible power of each prime factor from both numbers, in this case, 2²,3¹,5¹
• Multiply all the highest powers together to get the LCM.
• LCM = 2² * 3¹ * 5¹ = 4 * 3 * 5 = 60
• Therefore, the LCM of 12 and 20 is 60.

Answer: D) 6

Explanation:

The explanation is:

• 18 has two prime factors: 2¹ and 3² (since 18 = 2 * 3 * 3).
  28 have two prime factors: 2² and 7¹ (since 28 = 2 * 2 * 7).
• Now, from both numbers, take the least power of each prime factor.
  The smallest power of 2 is 2¹.
  The smallest power of 3 is 3¹.
  There is no common prime factor of 7 in both numbers.
• To calculate the HCF, multiply all of the common prime factors together.
  HCF = 2^1 * 3^1 = 2 * 3 = 6

Therefore, the HCF of 18 and 28 is 6.

Answer: A) 25

Explanation:

LCM = (Number 1 * Number 2) / HCF

If the HCF of 25 and 5 is 5, then their LCM can be found as follows:

LCM (25, 5) = (25 * 5) / 5 = 125 / 5 = 25

Therefore, the LCM of 25 and 5 is 25.

Answer: B) (u+v) Km/hr

Explanation:

The downstream speed of a boat is calculated by adding the boat's speed in still water (u km/hr) and the speed of the stream (v km/hr). The stream contributes to the boat's speed as it proceeds downstream (in the same direction as the stream), resulting in a quicker downstream speed. As a result, the right formula for calculating downstream speed is (u + v) km/hr.

Answer: D) (Sn) = (n/2) * [2a + (n-1)d]

Explanation:

The following formula can be used to calculate the sum of the first n terms of an arithmetic progression (AP):

Sum of first n terms (Sn) = (n/2) * [2a + (n-1)d]

Where:

• Sn is the sum of the arithmetic progression's first n terms.
• n is the number of terms in the progression.
• a is the first term of the progression.
• d is the common difference between consecutive terms.

Answer: A) True

Explanation:

When two triangles are comparable, their respective sides have the same ratio. This signifies that the lengths of the corresponding sides of the two triangles have the same ratio. If triangles ABC and DEF seem alike, then: BC/EF = AC/DF = AB/DE.

Answer: B) 180 Degrees

Explanation:

The sum of the opposite angles in a cyclic quadrilateral is always equal to 180 degrees. Each opposite-angle pair in a cyclic quadrilateral is supplementary, which means they sum up to 180 degrees.

Answer: B) Congruent

Explanation:

"All right angles are congruent."

A right angle is one that is exactly 90 degrees in length. All right angles in geometry are congruent, which means they have the same measure of 90 degrees.

Answer: D) Tangent

Explanation:

A tangent is defined as "a straight line that intersects only one point on a circle." A tangent is a line that intersects a circle at exactly one point without crossing it. At the point of tangency, the tangent line is perpendicular to the radius of the circle.

Answer: C) Circle

Explanation:

If the areas of the various forms are the same, the circle has the shortest perimeter of the options given.

Answer: A) Polyhedron

Explanation:

Euler's formula is a fundamental concept in geometry that relates the number of vertices (V), edges (E), and faces (F) of a polyhedron (a three-dimensional geometric structure with flat faces). According to Euler's formula, V - E + F = 2.

Answer: B) Surface_area=6*A²

Explanation:

All six faces of a cube are equal squares, and each face has an area of A * A = A2. Because a cube has six faces, its total surface area (SA) equals the sum of the areas of all six faces, as given by: Surface_area = 6 * A²

Answer: C) e^x

Explanation:

The exponential function's derivative with respect to x is simply the exponential function itself, which is ex. As a result,

Answer: D) 221

Explanation:

A parallelogram's area can be computed using the formula: Area = Base * Height. The base of a parallelogram is either of its sides, and the height is the perpendicular distance between the base and the opposite side. Area = 17 * 13 = 221 square units

Answer: C) 97

Explanation:

97 is the greatest two-digit prime number. The Prime numbers are those that are greater than one and have no divisors other than one and themselves. The greatest prime number among the provided alternatives is 97.

Answer: B) 1

Explanation:

If two integers have the same greatest common divisor (GCD), they are said to be co-prime (or substantially prime). The number 1 is co-prime with any other positive integer because its only positive divisor is 1, and it has no other common divisors with other positive integers.

Answer: A) Central Angle Measure = (Arc Length / Radius) * 180°

Explanation:

The central angle formula is used to compute the size of a circle's central angle. A central angle is an angle whose vertex is at the middle of a circle and whose sides are two circle radii.

The formula for calculating the size of a central angle is: Central Angle Measure = (Arc Length / Radius) * 180°

Answer: A) Universal set

Explanation:

The rectangle represents the universal set in a Venn diagram. The universal set is the set that includes all of the elements in a given context or problem.

Answer: C) ∅

Explanation:

The symbol (∅) represents the null set, also known as the empty set. This sign, which differs from the symbols used to represent other sets, indicates that the set has no elements.

Answer: D) Singleton set

Explanation:

A singleton set is a set that has only one element. The term "singleton" refers to a set that has only one member or element. There is just one unique element in a singleton set, and no other elements are present.

Answer: C) XC

Explanation:

90 is written as XC in Roman numerals. The Roman numeral system represents different numbers by combining letters from the Latin alphabet. In this system, X symbolizes ten and C represents one hundred. To express 90, we use a subtractive notation using X (10) and C (100), with X (10) positioned before C (100) to signify 100 - 10 = 90. As a result, the Roman numeral for 90 is XC.

Answer: D) D

Explanation:

500 is written as D in Roman numerals. The Roman numeral system represents distinct numbers by using letters from the Latin alphabet. D symbolizes 500 in this system. So D is the Roman numeral for 500.

Answer: C) {8,9}

Explanation:

The complement of a set A, denoted by A' in set theory, it is the set of all items in the universal set U that are not in A. To discover A', we must first determine which items in the universal set U are not in A. A' = {8, 9}

Answer: A) A ∩ A = A

Explanation:

Set theory's idempotent theorem asserts that the intersection of a set with itself is the set itself. It is written as follows in Mathematical notation: A ∩ A = A

That is, any element that appears in both A and A is simply an element of A.

Answer: D) 81

Explanation:

The largest two-digit perfect square number is 81, which is the square of 9.

Answer: B) Aryabhata

Explanation:

Aryabhata was a Mathematician and astronomer from ancient India. He is known as the "Father of Indian Mathematics" due to his tremendous contributions to the area.

Answer: D) 11

Explanation:

We will use BODMAS to conduct the following operations in the following order:

5 * 2 = 10 in division and multiplication.

Subtraction and addition: 4 + 10 - 3 = 11.

As a result, the expression's unique sum is 11.

Answer: C) 9.5

Explanation:

The midpoint formula can be used to locate the midpoint of a line segment with provided endpoints (x1, y1) and (x2, y2).

((x1 + x2) / 2, (y1 + y2) / 2) is the midpoint.

The provided endpoints are (10, 15) and (9, 8).

((10 + 9) / 2, (15 + 8) / 2) is the midpoint.

(19 / 2, 23 / 2) = midpoint

The midpoint is (9.5, 11.5).

Answer: A) D²= √(L²+W²)

Explanation:

The diagonal formula of a rectangle can be determined using the Pythagorean theorem, which connects the sides of a right triangle to the length and width of the rectangle as "L" and "W", respectively. The Pythagorean theorem can be used to compute the diagonal "D" as follows:

D² = L² + W²

To calculate the length of the diagonal "D," multiply both sides of the equation by the square root:

D = √(L² + W²)

Answer: C) √3A

Explanation:

All sides of a cube are the same length. Let "a" represent the length of one side of the cube. A cube's diagonal runs through its center and joins two opposite corners. Within the cube, this diagonal creates the hypotenuse of a right triangle.

The diagonal "D" can be determined using the Pythagorean theorem as follows:

D² = a² + a² + a²

D² = 3a²

Taking both sides square roots:

D = √(3a²) D = √3a

Answer: C) 2.718

Explanation:

The number "e," often known as Euler's number, is a significant Mathematical constant with an estimated value of 2.71828. It is the natural logarithm's base and has numerous uses in Mathematics, science, and engineering.

Answer: A) 12

Explanation:

When you square a number, you get the original number when you multiply it by itself. Finding the square root of 144 in this context implies finding a number that, when multiplied by it, equals 144. Because 12 * 12 = 144, that number is 12. As a result, the square root of 144 is 12.

Answer: D) Area = π * r²

Explanation:

The formula for calculating the area of a circle is: Area = π * r²

Where "Area" is the circle's area.

• (pi) is a Mathematical constant with an approximate value of 3.14159.
• r is the radius of the circle, which is the distance squared (raised to the power of 2) from the circle's center to any point on its edge.

So, to find the area of a circle, square the radius and multiply by pi.

Answer: B) 180 degrees

Explanation:

The sum of a triangle's angles is always 180 degrees. This is a fundamental geometric feature shared by all triangles, whether equilateral (all sides and angles are equal), isosceles (two sides and angles are equal), or scalene (no sides or angles are equal). The total of a triangle's three internal angles will always equal 180 degrees, regardless of its shape.

Answer: D) Fn = Fn-1 + Fn-2

Explanation:

The Fibonacci sequence can be stated Mathematically using the following recurrence relation: F(n) = F(n-1) + F(n-2)

Where:

• F(n) is the nth Fibonacci number.
• F(n-1) is the (n-1)th Fibonacci number.
• F(n-2) is the (n-2)th Fibonacci number

Answer: C) Leonardo Fibonacci

Explanation:

Leonardo of Pisa, often known as Fibonacci, introduced the Arabic numerical system to the Western world. Fibonacci introduced the Hindu-Arabic numeral system, which contains the digits 0 to 9, and the place value system in his work "Liber Abaci" (1202).

Answer: A) Twin primes are prime number pairs with a difference of two.

Explanation:

Twin Prime Numbers:

• Twin primes are prime number pairs with a difference of two.
• 2 is the only even prime number.
• Every positive integer can be expressed uniquely as a product of prime integers (greater than one).

Answer: B) 1000

Explanation:

(x*y) ^a = x^a * y^a

According to the question given,

=(2*5) ³
=2³*5³
=8*125
=1000

Answer: B) x¹¹

Explanation:

x^a * x^b = x^a+b , so x² * x⁹ = x²⁺⁹ = x¹¹

Answer: A) X^a-b

Explanation:

You can use the rule of dividing powers with the same base when you have the equation . According to the rule, when you divide two powers by the same base, you subtract the exponents: X^a-b.

Answer: D) Positive

Explanation:

A dataset's variance is always a positive number. It quantifies the dispersion of data points around the mean. Because it can never be negative or infinite, the proper response is "Positive."

Answer: A) n√x^m

Explanation:

The expression represents the nth root of x raised to the power of m. This is equivalent to taking the nth root of x^m, which is denoted as n√x^m.

Answer: B) 0

Explanation:

A number's absolute value is its distance from zero on the number line. Because 0 is at a distance of 0 units from itself, its absolute value is 0.

Answer: D) -Infinity

Explanation:

There is no smallest integer in the set of integers. On the number line, integers extend indefinitely in both the positive and negative directions. As a result, there is no one integer that can be deemed the smallest. Option D, "- infinity," reflects this idea, as it represents the idea that integers extend to the left on the number line endlessly.

Answer: C) Infinity to -infinity

Explanation:

There is no smallest rational number in the context of rational numbers. Positive and negative fractions, as well as zero, are included in the rational numbers. The rational numbers become smaller or larger without bound as you walk along the number line to the left (towards negative infinity) or the right (towards positive infinity).

Answer: D) -Infinity

Explanation:

The negative infinity (-∞) with no bound is considered the smallest integer number.

Answer: C) Johannes Kepler

Explanation:

The "laws of planetary motion" were developed by Johannes Kepler, a German Mathematician, astronomer, and astrologer. Kepler's laws, which govern the motion of planets around the Sun, made an important addition to astronomy in the early 17^th century.

Answer: A) 360 degrees

Explanation:

A circle contains 360 degrees. This 360-degree partition of a circle is a popular convention in geometry and trigonometry. Each degree is further subdivided into 60 minutes, which are further subdivided into 60 seconds. This measurement technique enables for exact angular computations.

Answer: B) 1

Explanation:

The factorial of zero, represented as 0! is 1. The product of all positive integers from 1 to "n" is the factorial of a non-negative integer "n." 5! (read as "5 factorial"), for example, is calculated as 5 * 4 * 3 * 2 * 1 = 120.

Answer: D) None of the above

Explanation:

Rational numbers are those that can be written as a fraction of two integers where the denominator is not zero. So in the above options all are considered as rational numbers.

Answer: C) 14 March

Explanation:

Around the world, PI Day is celebrated on 14^th March.

Answer: A) John Napier

Explanation:

The logarithms and decimal points by John Napier.