2nd Ramanujan Mathematics quiz Finals

Mathematics quiz hosted by THE TIMES OF EDUCATION for SPSTI at Delhi public school, chandigarh.

1. QUIZ

2. And the finalists are:
•1
•2
•3
•4
•5
•6

3. Team Names
•Madhava
•Brahmagupta
•Ramanujan
•Aryabhata
•Shakuntala
•Mahavira

4. Locus of the Question
•(3 * 6) = 18 Questions in the Round.
•+10 for correct answer.
•No negatives for incorrect.
•Participants have to speak the answer, loudly.
•Unanswered Questions pass in clockwise order
from Team 1 to Team 2 ……… to Team 6.
•The round is fair & standard.
•If N
th
team answers the question, next question
goes to (N+1)
th
team.
•All unmentioned rules are at Quizmaster’s
Discretion.

5. Role of Audience?
•The loudest person to clap gets chocolate in
every round of applause.
•The person who keeps clapping till the last gets
2 chocolates.
•In case a question is unanswered, it will
become an audience question.
•But until the question is alive on stage, please
keep your answers to yourself.
•Never shout the answer, raise your hand.

6. But Before we begin, Let’s hear it for
SPSTI

7. Know your Quizmaster
•World Quizzing Rank – 570
•India Quizzing Rank in WQC – 54
•IMQC Convener – 2 years in a row
•Tata Crucible 2013 Chandigarh 2
nd
Runners up
•Founder – “The Times of Education”
•Avid Reader.
•Moron.
Speciality – Bollywood, India & Business

8. Disclaimer
•The students have been tested for skill in
mathematics.
•Now, it is time to test them awareness of the
subject.
•Half of the quiz is trivia about Mathematicians
and half of the quiz is workable.
•Half of the quiz derives mathematics from
culture, Art, News etc.
•There is nothing you can solve in the finals.

9. •Let us Begin!

10. •1. It is sometimes claimed that we owe pure
mathematics to him, and he is often called the
first "true" mathematician. He established a
school in Croton, Italy with the motto – “All is
numbers”.
•He is also credited with the discovery that the
intervals between harmonious musical notes
always have whole number ratios.
•But people know him for one of the most famous
theorems in Mathematics.
•Which Mathematician, who lived 2500 years ago?

12. 2. The "________” remained the definitive textbook
on geometry and mathematics for well over two
millennia, surviving the eclipse in classical learning
in Europe during the Dark Ages through Arabic
translations.
•It set, for all time, the model for mathematical
argument, following logical deductions from initial
assumptions (which the author called “axioms”
and "postulates") in order to establish proven
theorems.
•Name the book and the author.
•The blank is the name of the book.

14. 3. Despite his important contributions to pure
mathematics, he is probably best remembered for the
anecdotal story of his discovery of a method for
determining the volume of an object with an irregular
shape.

“An object immersed in a fluid is buoyed up by a force
equal to the weight of the fluid displaced by the object”
His last words are supposed to have been “Do not
disturb my circles!

Audience: story tellers get chocolates after the question

16. 4. The great 7th Century Indian mathematician and
astronomer ____ wrote some important works on
both mathematics and astronomy. He dedicated a
substantial portion of his work to geometry and
trigonometry.

He established √10 (3.162277) as a good practical
approximation for π (3.141593), and gave a formula,
now known as _____'s Formula, for the area of a
cyclic quadrilateral, as well as a celebrated theorem
on the diagonals of a cyclic quadrilateral, usually
referred to as _____'s Theorem.

18. 5. One of the first Directors of the House of Wisdom in
Bagdad in the early 9th Century was an outstanding
Persian mathematician called Muhammad ______.

The word “algorithm” is derived from the Latinization of
his name, and "algebra" is derived from the Latinization
of "al-jabr", part of the title of his most famous book.

He gave the “completing the square method” to find
roots of quadratic equation.

19. Al khwarizmi

20. 6. The 13th Century Italian Leonardo of Pisa, better
known by his nickname ____, was perhaps the
most talented Western mathematician of the
Middle Ages.
In particular, in 1202, he wrote a hugely influential
book called “Liber Abaci” ("Book of Calculation").
He discovered something while studying the growth
of a hypothetical population of rabbits based on
idealized assumptions.

21. Fibonacci

22. 7. He was the founder of the Kerala school of
Mathematics & Astronomy.
Unlike most previous cultures, which had been rather
nervous about the concept of infinity, he was more
than happy to play around with infinity, particularly
infinite series- Sine, Cosine, Tangent, Arc Cos, ?????? etc.
In astronomy, he discovered a procedure to determine
the positions of the Moon every 36 minutes, and
methods to estimate the motions of the planets.

23. Madhava

24. 8. _____ has been dubbed the "Father of Modern
Philosophy", but he was also one of the key figures in the
Scientific Revolution of the 17th Century, and is considered
the first of the modern school of mathematics.
•He quoted “Cogito ergo sum” (“I think, therefore I am”).
•His revolutionary ideas made him a centre of controversy
in his day. 13 years after his death, his works were placed
on the Catholic Church's "Index of Prohibited Books".

26. 9. His so-called Little Theorem is often used in the
testing of large prime numbers, and is the basis of
the codes which protect our credit cards in Internet
transactions today.

In addition to his work in number theory, he
anticipated the development of calculus to some
extent, and his work in this field was invaluable later
to Newton and Leibniz.

28. 10. Physicist, mathematician, astronomer, natural philosopher,
alchemist and theologian, _____ is considered by many to be one
of the most influential men in human history.
_____ chose not to publish his revolutionary mathematics straight
away, worried about being ridiculed for his unconventional ideas.
He wrote a number of religious tracts, acted as Member of
Parliament for some years, and became perhaps the best-known
Master of the Royal Mint in 1699, a position he held until his death
in 1727.
In 1703, he was made President of the Royal Society and, in 1705,
became the first scientist ever to be knighted.

30. 11. . He was a child prodigy and worked initially on
applied sciences. He has a law in physics named
after him. He believed in God because it was a safer
“bet”.
He is usually remembered today as one of the most
important authors of the French Classical Period
and one of the greatest masters of French prose,
much more than for his contributions to
mathematics.
He and Fermat applied themselves to “Winner
takes it all”, “”Gambler’s Ruin”, “Problem of Points”
etc. varieties of problem.

32. 12. When G.H Hardy was asked in an interview that
which discovery was his most useful discovery and
that he is proud of, he is known to have
unhesitatingly responded:
“the discovery of _____________”.
Fill in the Blank.

34. 13.
A. The complement of Union of 2 sets is the
intersection of the complements of the sets.

B. The complement of the intersection of 2 sets is
the Union of complement of the two sets.

•These laws, a crater on the moon, HQ London
Mathematical Society & London University
Mathematics Club have been named after which
Madurai born British Mathematician?

36. •14. Unusually in the history of mathematics, a single
family produced half a dozen outstanding
mathematicians. Johann in particular was jealous of
the elder Jacob's position and the two often
attempted to outdo each other.
• When Jacob died, Johann became jealous of his Son
Daniel & Published Daniel’s book secretly in his
name.
•However, Destiny played a part when L’Hospital
published Jacob’s book in his own name. Johann’s
sons Nicolaus, Daniel and Johann II, and even his
grandchildren Jacob II and Johann III, were all
accomplished mathematicians and teachers.
•Johann also discovered the number e. which Family?

38. •15.
•The base 10 system is called the decimal system,
what is the base 60 system called?

39. •Sexagecimal System

40. 16. ______ was a committed and high-profile
political activist throughout his long life. He was a
prominent anti-war activist during both the First
and Second World Wars, championed free trade and
anti-imperialism, and later became a strident
campaigner for nuclear disarmament and socialism,
and against Adolf Hitler, Soviet totalitarianism and
the USA’s involvement in the Vietnam War.(Picture
on next slide)

42. Bertrand Russel

43. •17. He is a Canadian-American Mathematician who
holds adjunct professorships at IIT-B, TIFR, &
University of Hyderabad. He is a well-known scholar
of Sanskrit & ancient India and also learnt Tabla from
Zakir Hussain. He did his PhD under Andrew wiles.
He was the recipient of Field’s Medal (The Nobel for
Mathematics under 40 age group) in 2014.
•Who?

45. 18. Which German mathematician is known as the
inventor of Set theory?

David Hilbert once noted:
“No one shall expel us from the paradise ________
created.”

46. Georg Cantor

47. End of Round 1
•Scores & applause!

48. Round 2: Mathematics in Culture
•All teams have to write the answers.
•All questions will be answered by Audience
after exchange of Sheets.
•+10/0.
•5 questions.
•Audience – please be patient.

49. 1. Logo of What?

50. 2.
A recurring Tintin
character.

What is his
name?

51. 3. Google Doodle commemorating
whom?

52. 4. Name the toy.
This is a modified
Sudoku in which
the correct colour
orientation is
required. The
name derives
from another toy
& Sudoku.

53. 5. He is a DC world Super villain.
He is known to wear a suit with a
mini computer which can
calculate the actions of any super
hero on Earth.
He is known to have a sharp
mind thus giving him the title of
____________.

54. End of Round: Exchange sheets.
•In case of discrepancy, call the quizmaster.

Audience – Your Turn.

55. 1. Logo of What?

57. 2.
A recurring Tintin
character.

What is his
name?

59. 3. Google Doodle commemorating
whom?

61. 4. Name the toy.
This is a modified
Sudoku in which
the correct colour
orientation is
required. The
name derives
from another toy
& Sudoku.

62. Rubiksudoku

63. 5. He is a DC world Super villain.
He is known to wear a suit with a
mini computer which can
calculate the actions of any super
hero on Earth.
He is known to have a sharp
mind thus giving him the title of
____________.

64. Calculator

65. •Scores & applause!

66. Round 3 – Reverse Locus
•(3 * 6) = 18 Questions in the Round.
•+10 for correct answer.
•No negatives for incorrect.
•Participants have to speak the answer, loudly.
•Unanswered Questions pass in Anti- clockwise
order from Team 6 to Team 5 ……… to Team 1.
•The round is fair & standard.
•If N
th
team answers the question, next question
goes to (N+1)
th
team.
•All unmentioned rules are at Quizmaster’s
Discretion.

67. 1
•The subject was studied by sea captains for
navigation, cartographers & engineers etc. It
was originally developed to solve geometric
problems relating to a triangle.

68. Trigonometry

69. 2.
•The word _________ first appears in a Latin
manuscript (1673) by Leibnitz, who used it in a
non-analytical sense.
• He considered the curve to be an employee and
the _________ to be a mathematical job.
•According to chamber’s Cyclopaedia 1779, The
term ________ is used in algebra for an analytical
expression any way compounded of a variable
quantity and of numbers or constants.

70. Functions

71. 3
•Unlike other fields in mathematics, the theory of
________ was not developed by an individual at
one point of time. It is believed that the
Pythagoreans had knowledge of ______. While
John Wallis was the first to use the term. Major
credit is given to Blaise Pascal who put it to use.
• _________ is a restatement of one of Peano’s
axiom relating to deduction of properties of
natural numbers.

72. Mathematical Induction

73. 4
•Among the Jains, Mahavira (850 AD) is the
first mathematician to have developed the
general formula in this area. The Jainism
ascribed the name Vikalpa to the field.
However the skill has been employed by
Sushruta, Pingala, Bhaskaracharya and others
in their works too.

74. Combinatorics
•Permutation & combination

75. 5.
•Stock traders frequently look to the
"___________ retracement" when predicting
future share prices.
• Along with the golden rectangle and golden
spiral, the ________ is mentioned in film Pi(1998).
•They are used to find the name of God. In The Da
Vinci Code, the numbers are used to unlock a safe.
They are also placed out of order in a message to
indicate that the message is also out of order.
•What?

76. Fibonacci Sequence

77. 6. Inappropriate?
•In the movie Gangs of Wasseypur-2, Faizal khan’s
youngest Sibling is called X and the best friend of
X is called Y. Both X and Y are terms encountered
in Geometry.
•What are the term X & Y.

78. Perpendicular & Tangent

79. 7.
•About which field did Gauss say:
Mathematics if the Queen of Sciences and
____________ is the queen of mathematics.

81. 8.
Before 1900, it was thought that _______ was a difficult
entity to be taught to youngsters. But in 1900, John Perry and
others in England started propagating the view that it was
simple and could be taught to school students. F. L. Griffin
pioneered the teaching of _____ by teaching first year
students and it was considered a daring act in those days.
Thanks to the efforts of above gentlemen, today Physics,
chemistry, Biology & Economics students are enjoying the
fruits of ________.

82. Calculus

83. 9.
•The first Census was held in Egypt over 3
millennia ago and in India, by Chandragupta
Maurya over 2000 years ago. Arthashastra by
Kautilya too mentions a system of Data
collection & calculation based on that data.
What field of study in mathematics is thus
believed to be as old as organised Human
Civilisations?

84. Statistics

85. 10.
Aristotle wrote the first treatise on Logic over 2300
years ago. It formed the basis for study in all fields of
knowledge. Later Leibnitz realised that process of
deductive reasoning could be used to mechanise the
process. In nineteenth century George _______,
founded the modern subject of logic with Augustus
Morgan. A crater on the moon and the subarea of
computational algebra relying on True(1)/False(0)
values of variables named after him.

86. George Boole
•Boolean Algebra

87. 11.
•Which ancient mathematician dealt with
heights & distances problem and solved the
problem of Heights of Egyptian pyramids and
distance of ships in the sea?
•He studied the properties & proportionality in
triangles by construction.

88. Thales

89. 12.
•What unique thing is present in a temple
devoted to Saraswati at BITS, Pilani?

90. •Statue of S. Ramanujan engraved in the wall.

91. 13
•“BEGHILOSZ” is the official language of which
device. It is always read upside down and is a
technique of transformation of text. Where have
we seen the language or these alphabets?

92. BEghILoSZ

93. 14.
•In the world of Mathematics, what is
sometimes referred to as
THE SHAKESPEARE THEOREM?

95. 15. Who about whom?
He is a man of good birth and excellent education, endowed by
nature with a phenomenal mathematical faculty. At the age of
twenty-one he wrote a treatise upon the binomial theorem which
has had a European vogue. On the strength of it, he won the
mathematical chair at one of our smaller universities, and had, to
all appearances, a most brilliant career before him. Is he not the
celebrated author of The Dynamics of an Asteroid, a book which
ascends to such rarefied heights of pure mathematics that it is said
that there was no man in the scientific press capable of criticizing
it? Is this a man to traduce?

96. Sherlock Holmes about Moriarty

97. 16.
•What international competition was started in
2006 in Italy and held in 2008 in Goa, India. It
was held in London this year. Thomas Synder’s
is the leading individual in the winner’s list
while Japan is the leading country in the
competition.

98. World Sudoku Championship

99. 17.
• X is a calculating tool that was in use centuries
before the adoption of the written modern
numeral system and is still widely used by
merchants, traders and clerks. Originally they
were beans or stones which moved in grooves in
sand or on tablets of wood, stone, or metal.
Around the 5th century, Indian clerks were
already finding new ways of recording the
contents of the X . Hindu texts used the
term śūnya (zero) to indicate the empty column
on the X.

101. The last question of the Quiz

102. 18.
“Cubum autem in duos cubos, antquadrato
quadratum in duos quadrate quadratos, et
generaliter nullam in infinitum, ultra quadratum
potestatem in duos ejurdem nominis far est
dividere; cujos rei demonstrationem mirabilem
sane detexi.
Hane marginis exiguitas non caperet.”

Who and where did that person write this?

103. Fermat’s Last theorem

104. End of Quiz
•Scores & applause!


•5 Anticipated Tie breaker’s / Audience Treat.
•Sudden
•If tie is unbroken, Junior’s get the advantage.

105. 1.
•Al- karaji produced it in Persia in 10
th
century,
Yang-hui of china discovered it in 13
th
century
and Tartaglia of Italy worked with it in 16
th

century but the world knows it after a 17
th

century French mathematician. What are we
talking about?

106. Pascal’s Triangle

107. 2
•____ was one of the giants of 18th Century
mathematics. He was the student of elder
Bernoulli. The list of theorems and methods
pioneered by him is immense, and largely
outside the scope of an entry-level study.
• He has pioneered the popularisation of
following symbols in mathematics:
e, i, f(x), [a,b,c,x,y,z], sin, cos ,tan, & ??????

109. 3
•_______ diagrams were introduced in 1880 by
John _____ (1834–1923) in a paper entitled “On
the Diagrammatic and Mechanical
Representation of Propositions and Reasoning”
about the different ways to represent
propositions by diagrams.
•In commemoration of the 180th anniversary of
his birth, on 4 August 2014, Google replaced its
normal logo on global search pages with an
interactive and animated Google doodle that
incorporated the use of a ____ diagram.

110. Venn

111. 4.
• Georg Cantor’s Set theory relied on the
assumption that a set of all sets exists. Gottlob
Frege presented Set theory as a theory of
logic. In 1902, which English philosopher
showed that the assumption of existence of all
sets leads to a contradiction?
•The paradox- “Nothing contains everything” is
now named after him.

112. Bertrand Russel

113. 5.
•In recreational mathematics, a __ ___ is an
arrangement of distinct numbers (i.e. each
number is used once), usually integers, in
a square grid, where the numbers in each row,
and in each column, and the numbers in
the main and secondary diagonals, all add up to
the same number. ___ ____ have a long history,
dating back to 650 BC in China. At various times
they have acquired magical or mythical
significance, and have appeared as symbols in
works of art.

114. Magic Square

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