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Frequently Asked Maths Olympiad Latest Exam Pattern - Maths Olympiad Sample Question with Solutions Page 4

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(#M40005177) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE Keep an eye puzzle Keep an eye puzzle

Q. Determine how many positive integers less than 400 can be created using only the digits 1,2 or 3 with repetition of digits allowed

Asked In Maths Olympiad Sanjana Patnaik (13 years ago)
Solved Dr.Dipin Singh Read Solution (4)
Is this Puzzle helpful?   (13)   (7) Submit Your Solution

(#M40021944) MATHS OLYMPIAD QUESTION GEOMETRY Keep an EYE Keep an eye puzzle Keep an eye puzzle

Let AC be a line segment in the plane and B a point between A and C. Construct isosceles triangles PAB and QBC on one side of the segment AC such that APB = BQC = 120 and an isosceles triangle RAC on the otherside of AC such that ARC = 120. Show that PQR is an equilateral triangle.

Asked In Maths Olympiad MAN (12 years ago)
Unsolved
Is this Puzzle helpful?   (1)   (1) Submit Your Solution
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(#M40021957) MATHS OLYMPIAD QUESTION GEOMETRY Keep an EYE Keep an eye puzzle Keep an eye puzzle

Prove that the product of the first 200 positive even integers differs from the product of the
first 200 positive odd integers by a multiple of 401.

Asked In Maths Olympiad MAN (12 years ago)
Unsolved
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(#M40005176) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE Keep an eye puzzle Keep an eye puzzle

Q. In a bag there are 13 red, 5 blue, 1 white and 9 green balls. Without looking into the bag determine the least No of balls that can be drawn such that three of them are of same colour

Asked In Maths Olympiad Sanjana Patnaik (13 years ago)
Solved Dr.Dipin Singh Read Solution (2)
Is this Puzzle helpful?   (7)   (1) Submit Your Solution

(#M40034288) MATHS OLYMPIAD QUESTION job fair Keep an EYE Keep an eye puzzle Keep an eye puzzle

The number of common terms in the two sequences 17,21,25,…,417 and 16,21,26,…,466 is
a) 78
b) 19
c) 20
d) 77

Asked In Maths Olympiad Amar Singh (11 years ago)
Unsolved Read Solution (4)
Is this Puzzle helpful?   (12)   (4) Submit Your Solution Sequence and Series

(#M40021950) MATHS OLYMPIAD QUESTION ALGEBRA Keep an EYE Keep an eye puzzle Keep an eye puzzle

Find all real values of a for which the equation
x^4 - 2ax^2 + x + a^2 - a = 0 has all its roots real.

Asked In Maths Olympiad MAN (12 years ago)
Unsolved
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(#M40166893) MATHS OLYMPIAD QUESTION ratio and proportion in algebra Keep an EYE Keep an eye puzzle Keep an eye puzzle

Find x/y ; when x^2 + 6y^2 = 5xy.

Asked In Maths olympiad musical beast (5 years ago)
Unsolved Read Solution (1)
Is this Puzzle helpful?   (1)   (0) Submit Your Solution Algebra

(#M40039685) MATHS OLYMPIAD QUESTION solve Keep an EYE Keep an eye puzzle Keep an eye puzzle

find three numbers in GP whose sum is 52 and the product is 1728

Asked In Maths Olympiad Harsh Poddar (11 years ago)
Unsolved Read Solution (1)
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(#M40056444) MATHS OLYMPIAD QUESTION permutations and combinations Keep an EYE Keep an eye puzzle Keep an eye puzzle

the number of ways of selecting 10 balls out of an unlimited number of white, red, blue and green is
(A) 270
(B)84
(C)286
(D)86

Asked In Maths Olympiad Sanchit Kapoor (10 years ago)
Unsolved Read Solution (1)
Is this Puzzle helpful?   (26)   (16) Submit Your Solution

(#M40019954) MATHS OLYMPIAD QUESTION EQUATION AND INEQUALITIES Keep an EYE Keep an eye puzzle Keep an eye puzzle

In a certain number system 363 + 1056 = 1452. Find the value of (654 - 456) in the same number system?
(a) 156 (b) 165 (c) 178 (d) 198

Asked In Maths Olympiad vignesh (12 years ago)
Unsolved Read Solution (1)
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