Mathematics Quiz For Msc- I And Ii Students) Third Round

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Which is the highest award of the I.M.U bestowed on a person for his outstanding contributions to mathematics a) b) c) d)

Copley medal Field’s medal Fisher’s medal Russel’s medal

Ans. ( b )

Who was supposed to win the latest Fields Medal (2006), but declined it? a) b) c) d)

Andrei Okounkov Wendelin Werner Terence Tao Grigory Perelman

Ans. (d)

Of the following famous problem tell which one has been solved recently a) b) c) d)

Four square problem Fermat’s last Theorem Warning’s problem Dido’s problem

Ans. ( b )

Who said the following famous quote "Mathematics is the Queen of all Sciences and the Theory of Numbers is the Queen o Mathematics b) c) d) e)

Andrew Wiles Paul Erdos Carl Frienderish Gauss Leonhard Euler

Ans. (c)

Any positive integer that may be expressed as the sum of four squares . Which is this theorem ? a) b) c) d)

Four Square Theorem Floquet Theorem Dirichlet’s Theorem Lagrange’s Theorem

Ans. ( a )

“God made the … all the rest is the work of man” said Leopold Kronecker about a) b) c) d)

Zero Complex Numbers Primary Numbers Integers

Ans. ( d )

The Pythagorean Theorem only applies to right-angled triangles. However, there is a more general "law" that governs all triangles in a relationship similar to that of the Pythagorean Theorem. What is the name of this law? • The sine law • The cosine law • The tangent law • The triangle law Ans. ( b )

If 20< y < 30 and x and y are both integers. What is the greatest possible value for x ? a) b) c) d)

75 76 79 80

Ans. ( c )

A point on the wheel of a bicycle draw one of the following curve : a) b) c) d)

Logarithmic spiral Ellipsoid Cycloid Hyperbola

Ans. ( a )

Who is the first person to give stage performance for his mental calculation abilities ? a) b) c) d)

Shakuntala Devi Zerah Colburn Parker Bidder Alexander Craig Aitken

Ans. ( b )

What is equivalent of the Roman numeral “D” in the number system a) b) c) d)

1000 500 50 10

Ans. ( b )

Which decimal number is equivalent to the Roman numeral “C” a) b) c) d)

50 1000 10 100

I (one) , V (five), X (ten), L (fifty) , C (one hundred), D ( five hundred ), M (one thousand) Ans. ( d )

How many triangles are there in the diagram ?

How many equilateral triangles are there in this figure?

a) 4

b) 6

c ) 16

d) 8

Where is the Ramanujan Institute of Mathematics located ? a) b) c) d)

Tiruchirapalli Trivandrum Lucknow Madras

Ans. ( d )

Zero is denoted by several names in ancient India . Tell which one is the old one out of the following: a) b) c) d)

Gagana Sunya Gati Kha

Ans. ( c )

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