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

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(#M40166857) MATHS OLYMPIAD QUESTION Keep an EYE Keep an eye puzzle Keep an eye puzzle

The tango is danced in pairs, one man and one woman. At a dance evening no more than 50 people
are present. At one moment 3/4 of the men are dancing with 4/5 of the women. How many people
were dancing at that given moment?
(A) 20 (B) 24 (C) 30 (D) 32 (E) 46

Asked In Maths olympiad SUNIL PAUL (5 years ago)
Unsolved Read Solution (1)
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(#M40099940) MATHS OLYMPIAD QUESTION apti Keep an EYE Keep an eye puzzle Keep an eye puzzle

five students have not been absent for the entire 1st semester. they are asked to draw one pass each from bag that has 5 movie passes and 5 meal passes. parul and mini are the first 2 students to draw a pass simultaneously which is the probability that they draw both movie passes?

Asked In Maths olympiad lavanya arumugam (10 years ago)
Unsolved Read Solution (5)
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(#M40021969) MATHS OLYMPIAD QUESTION GEOMETRY Keep an EYE Keep an eye puzzle Keep an eye puzzle

Suppose P is an interior point of a triangle ABC such that the ratios
d(A,BC)
d(P,BC)
,
d(B,CA)
d(P,CA)
,
d(C,AB)
d(P,AB)

Asked In Maths Olympiad MAN (11 years ago)
Unsolved
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(#M40021955) MATHS OLYMPIAD QUESTION GEOMETRY Keep an EYE Keep an eye puzzle Keep an eye puzzle

In a triangle ABC, D is a point on BC such that AD is the internal bisector of A. Suppose
B = 2C and CD = AB. Prove that A = 72◦

Asked In Maths Olympiad MAN (11 years ago)
Unsolved
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(#M40021934) MATHS OLYMPIAD QUESTION ALGEBRA Keep an EYE Keep an eye puzzle Keep an eye puzzle

For any natural number n, (n ≥ 3), let f(n) denote the number of non-congruent
integer-sided triangles with perimeter n (e.g., f(3) = 1, f(4) = 0, f(7) = 2). Show
that
(a) f(1999) > f(1996);
(b) f(2000) = f(1997).

Asked In Maths Olympiad MAN (11 years ago)
Unsolved
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(#M40039694) MATHS OLYMPIAD QUESTION solve Keep an EYE Keep an eye puzzle Keep an eye puzzle

the remainder when 52*81*90 is divided by 7 is

Asked In Maths Olympiad Harsh Poddar (10 years ago)
Unsolved Read Solution (2)
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(#M40033589) MATHS OLYMPIAD QUESTION solve Keep an EYE Keep an eye puzzle Keep an eye puzzle

how many positive perfect square less than 10^6 are multiples of 24

Asked In Maths Olympiad Harsh Poddar (11 years ago)
Unsolved
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(#M40005174) MATHS OLYMPIAD QUESTION Miscellaneous Keep an EYE Keep an eye puzzle Keep an eye puzzle

Q. Let n be the largest integer for which 14n has exactly 100 digits. Counting from right to left, find the 68th digit of n

Asked In Maths Olympiad Sanjana Patnaik (13 years ago)
Solved SDeep Bhattacharya Read Solution (5)
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(#M40039682) MATHS OLYMPIAD QUESTION solve Keep an EYE Keep an eye puzzle Keep an eye puzzle

if the number of different cards of different colours thomas has are in AP. If he has cards of 7 different colours in order of VIBGYOR such that the third colour is for times the fist colour and the sixth colour is 17 then find the number of fifth colour cards

Asked In Maths Olympiad Harsh Poddar (10 years ago)
Unsolved Read Solution (1)
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(#M40165391) MATHS OLYMPIAD QUESTION compound interest Keep an EYE Keep an eye puzzle Keep an eye puzzle

A sum of Rs 20000 is to be divided
between two brother aged 15 years
and 13 years so that at the age of 18
they get equal amount while the
compound rate of interest is 5% per
annum. What is the amount received
by the younger brother.

Asked In Maths olympiad SACHIN KUMAR (7 years ago)
Unsolved
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