Basic and general Mathematics Quizs Question with Answers

 Q 1. What fraction of a millimeter is a nanometer?

A. One thousandth

B. One millionth

C. One hundredth

D. One ten thousandth

Show Answer

Answer:-B. One millionth

Q 2. An invalid argument form often used incorrectly as a rule of inference is

A. Proof

B. Conjecture

C. theorem

D. fallacy)

Show Answer

Answer:-D. fallacy

Q 3. Who is considered the father of Mathematics?

A. Pythagorus

B. Euclid

C. Lao Tzu

D. Kapil Dev

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Answer:-A. Pythagorus

Q 4. One fathom is equal to

A. 6 meters

B. 6 feet

C. 60 feet

D. 100 cm

Show Answer

Answer:-B. 6 feet

Q 5. A mathematical assertion that can be shown to be true

A. Theorem

B. conjecture

C. axiom

D. fallacy

Show Answer

Answer:-A. Theorem

Q 6. Which Scottish mathematician invented logarithms?

A. Srinivasa Ramanujan

B. Paul Erdos

C. John Napier

D. Georg Ferdinand Cantor

Show Answer

Answer:-C. John Napier

Q 7. If P(n) is the statement “n (n+1) (n+2) is divisible by 12”, then what is P(3) ?

A. 12 is divisible by 12

B. 24 is divisible by 12

C. 48 is divisible by 12

D. 60 is divisible by 12

Show Answer

Answer:-D. 60 is divisible by 12

Q 8. A statement that is assumed to be true and than can be used as a basis for proving theorems

A. axiom

B. lemma

C. corollary

D. Conjecture

Show Answer

Answer:-A. axiom

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Q 9.What is the name for the longest side of a right-angled triangle?

A. Hypotenuse

B. Hypothesis

C. Hypocrite

D. Hypnosis

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Answer:-A. Hypotenuse

Q 10. Which of these does not represent a unit of

A. Line

B. Rye seed

C. Barleycorn

D. Poppyseed

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Answer:-B. Rye seed

Q 11. A statement in an argument, other that the final one

A. premise

B. argument form

C. conclusion

D. scope

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Answer:-A. premise

Q 12. Arithmetic Operations:

A. involves matching one data item to another to determine if the first item is greater than, equal to, or less than the other item.

B. sort data items according to standard, predefined criteria in ascending order or descending order

C. use conditions with operators such as AND, OR and NOT

D. include addition, subtraction, multiplication and division

Show Answer

Answer:-D. include addition, subtraction, multiplication and division

Q 13. What does 2 squared, plus the circumference of a circle, minus twice the product of the circle’s radius and pi, minus the cube root of 8, equal?

A. 8

B. 4

C. 2

D. 6

Show Answer

Answer:-C. 2

Q 14. Reasoning where one or more steps are based on the truth of the statement being proved

A. Direct proof

B. circular reasoning

C. vacuous proof

D. logical reasoning

Show Answer

Answer:-B. circular reasoning

Q 15. How many hours are there in a week?

A. 60

B. 3,600

C. 24

D. 168

Show Answer

Answer:-D. 168

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Q 16. If the sides of a triangle measure 5, 13 and 12, what is the angle defined by the sides which are 5 and 12?

A. 60o

B. 45o

C. 30o

D. 90o

Show Answer

Answer:-D. 90o

Q 17. A demonstration that a theorem is true

A. axiom

B. fallacy

C. rule of inference

D. proof

Show Answer

Answer:-D. proof

Q 18. Who invented infinitesimal calculus independently of Newton, invented the binary system?

A. Gottfried Leibniz

B. Hermann Grassmann

C. Johannes Kepler

D. Heinrich Weber

Show Answer

Answer:-A. Gottfried Leibniz

Q 19. Who among the following was a great mathematician and an astronomer?

A. Aryabhatta

B. Banabhatta

C. Dhanvantari

D. Vetalbatiya

Show Answer

Answer:-A. Aryabhatta

Q 20. In Euclidean geometry, what is the definition of a triangle?

A. Quarter of a square

B. A polygon

C. A two-dimensional plane determined by any three points

D. A shape has atleast three angles

Show Answer

Answer:-C. A two-dimensional plane determined by any three points

Q 21. How many feet are there in a fathom?

A. 500

B. 100

C. 6

D. 12

Show Answer

Answer:-C. 6

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Q 22. Which 3rd century Greek mathematician wrote Elements of Geometry?

A. Archimedes

B. Eratosthenes

C. Euclid

D. Pythagoras

Show Answer

Answer:-C. Euclid

Q 23. The basic shape of the North American continent on a map is best described as which?A. Square

B. Triangular

C. Circular

D. Hexagonal

Show Answer

Answer:-B. Triangular

Q 24. Four prime numbers are arranged in ascending order. The product of first three is 385 and that of last three is 1001. The largest prime number is—

A. 11

B. 13

C. 17

D. 9

Show Answer

Answer:-B. 13

Q 25. In an A.P, the sum of terms equidistant from the beginning and end is equal to _____.

A. First term

B. Second term

C. sum of first and last terms

D. last term

Show Answer

Answer:-C. sum of first and last terms

Q 26. Which of these states of the USA is a rect­angle?

A. Arkansas

B. Wyoming

C. Utah

D. Iowa

Show Answer

Answer:-B. Wyoming

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Q 27. What is the radius of a circle whose area is 154 square inches?

A. 22 inches

B. 7 inches

C. 44 inches

D. 5 inches

Show Answer

Answer:-B. 7 inches

Q 28. Which branch of mathematics uses symbols to represent unknown quantities?

A. Statistics

B. Geometry

C. Algebra

D. Calculus

Show Answer

Answer:-C. Algebra

Q 29. How many words can be formed using the letter A thrice, the letter B twice and the letter C once?

A. 50

B. 60

C. 55

D. 40

Show Answer

Answer:-B. 60

Q 30. Who is considered to be the father of set theory?

A. Bertand Russel

B. George Cantor

C. Srinivasa Ramanujan

D. George Boole

Show Answer

Answer:-B. George Cantor

Q 31. What form of art is characterized by depicting objects in a rectangular or geometric treatment of their forms?

A. Poster art

B. Impressionism

C. Surrealism

D. Cubsim

Show Answer

Answer:-D. Cubsim

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Q 32. What number do the numbers on opposite sides of a standard cube-shaped die always add up to?

A. 9

B. 6

C. 8

D. 7

Show Answer

Answer:-D. 7

Q 33. With which branch of mathematics is Euclid chiefly associated?

A. Trigonometry

B. Probability

C. Geometry

D. Calculus

Show Answer

Answer:-C. Geometry

Q 34. Proof by contraposition is a/an __

A. Direct proof

B. vacuous proof

C. indirect proof

D. trivial proof

Show Answer

Answer:-C. indirect proof

Q 35. Pi, a mathematical constant whose value is the ratio of a circle’s circumference to its diameter, is the same value as what other ratio?

A. GDP to GNP in a balanced economy

B. The hypotenuse for the sum of the other sides

C. The sum of the sides of a dodecahedron to one side

D. A circle’s area to the square of its radius

Show Answer

Answer:-D. A circle’s area to the square of its radius

Q 36. The angles of a triangle are in the ratio 1: 2: 3. The greatest angle will be

A. 60°

B. 30°

C. 90°

D. 75°

Show Answer

Answer:-C. 90°

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Q 37. Which least number should be added to 2600 to make it a perfect square?

A. 3

B. 9

C. 1

D. 5

Show Answer

Answer:-C. 1

Q 38. The vertices of a triangle are (0, 0), (3, 0) and (0, 4). The centroid of the triangle is

A. (1/2 , 2)

B. (1, 4/3)

C. (0, 0)

D. None of these

Show Answer

Answer:-B. (1, 4/3)

Q 39. Which of the following is not a true statement

A. Theorem

B. Lemma

C. Corollary

D. Conjecture

Show Answer

Answer:-D. Conjecture

Q 40. The equation of the normal to the curve y = sin x at (0, 0) is

A. x = 0

B. y = 0

C. x + y = 0

D. x – y = 0

Show Answer

Answer:-C. x + y = 0

Q 41. What shape are honeycomb cells?

A. Triangles

B. Pentagons

C. Squares

D. Hexagons

Show Answer

Answer:-D. Hexagons

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Q 42. Which is the 17th century German mathematician and astronomer whose works, including ” Epitome of Copernican Astronomy”, provided one of the foundations for Isaac Newton’s theory of universal gravitation?

A. Heinrich Decimator

B. Christiaan Huygens

C. John Flamsteed

D. Johannes Kepler

Show Answer

Answer:-D. Johannes Kepler

Q 43. What is a natural number called if it has exactly two distinct divisors?

A. Integer

B. Prime number

C. Composite number

D. Perfect number

Show Answer

Answer:-B. Prime number

Q 44. Proof by contradiction is a/an __

A. direct proof

B. Indirect proof

C. Vacuous proof

D. trivial proof

Show Answer

Answer:-B. Indirect proof

Q 45. When did Polish code breaker Marian Rejewski first break the code of the Enigma Machines used by the German military?

A. 1962

B. 1950

C. 1932

D. 1910

Show Answer

Answer:-C. 1932

Q 46. Which of these numbers is not a square?

A. 169

B. 186

C. 144

D. 225

Show Answer

Answer:-B. 186

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Q 47. What does ”differential” measure in the mathematical discipline of calculus?

A. Steps in an equation

B. Difference between two known quantities

C. Rate of increase

D. A tiny or infinitesimal change in the value of a variable

Show Answer

Answer:-D. A tiny or infinitesimal change in the value of a variable

Q 48. Some theorems can be proved by examining a relatively small number of examples. Such proofs are called __

A. direct proof

B. exhaustive proof

C. trivial proof

D. Vacuous proof

Show Answer

Answer:-B. exhaustive proof

Q 49. Two pipes can fill a tank in 10 minutes and 30 minutes, respectively, and a third pipe can empty the full tank in 20 minutes. If all the three pipes are opened simultaneously, the tank will be

A. 10 minutes

B. 8 minutes

C. 7 minutes

D. None of these

Show Answer

Answer:-D. None of these

Q 50. The author of the book “A mathematician’s Apology” is

A. Hardy

B. Ramanujan

C. Boole

D. Cayley

Show Answer

Answer:-A. Hardy

Q 51. Which of the following Invented Algebra?

A. Meghat

B. Bhaskar

C. Apastamb

D. Aryabhatta

Show Answer

Answer:-B. Bhaskar

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Q 52. What number is known as the Ramaujan Number?

A. 1279

B. 1927

C. 1297

D. 1729

Show Answer

Answer:-D. 1729

Q 53. If + means ÷, ÷ means –, – means x and x means +, then:9 + 3 ÷ 5 – 3 x 7 = ?

A. 5

B. 15

C. 25

D. None of these

Show Answer

Answer:-D. None of these

Q 54. A variable that has a value 0 or 1 is called

A. Real variable

B. complex variable

C. Boolean variable

D. constant

Show Answer

Answer:-C. Boolean variable

Q 55. Which is the greatest five digit number exactly divisible by 279?

A. 99603

B. 99882

C. 99550

D. None of these

Show Answer

Answer:-B. 99882

Q 56. A proof that there is exactly one element satisfying a specified property

A. Counter example

B. Uniqueness proof

C. Exhaustive proof

D. trivial proof

Show Answer

Answer:-B. Uniqueness proof

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Q 57. All natural numbers and 0 are called the _______ numbers.

A. whole

B. prime

C. integer

D. rational

Show Answer

Answer:-A. whole

Q 58. A proof that an element with a specified property exists that does not explicitly find such an element is

A. Constructive

B. non constructive

C. Exhaustive

D. trivial

Show Answer

Answer:-B. non constructive