inmo-2009-1 Previous year Question Papers of Indian National Mathematical Olympiad (INMO) with solutions

7/29/2019 inmo-2009-1 Previous year Question Papers of Indian National Mathematical Olympiad (INMO) with solutions

1/7

" & ' 1 2 5 & 7 & @A 2 4 B D F H H P

Q R

" T & 1 2 U W " & ` " U

b c e g h p r s u g x h x g x g h u g x h g h h x h r s m n o r p m

r s c e g h u g h g z h } p s r s g g h g c g r m c g

h x h p x g g x c

h g s h h x h s m c e g h

r s m m r p c u g g h x h r

h g g g x u g h } s c g g

r s m r x r s x g g h x z

g c r m c - h h g r m

m r p c g h x h r p

x g x g c h g g h x h

p r m r m n o

c g h g z

h } s u h h x h g

z h } s p g h } h x h

x x g h p x p m m r c

r p x g g h x g x r

x x g h p c

A

B C

M

N

P

D

g g g g h

p m r p m r s m s

h g x h g x h } } h g } x h h x h r s m n o x h g z h } s r

h x h m s m r } h g h z x g h x g r s c h } h x h p x g

g x c

g g x h g g g h c e g h h x g m o o x h g x h g x

g x s x

r

g h x g s m o x r m o c e g h p m c

g g g h x h m x

m c g h r m h x x h g h

m

g u g g h x h h g g } s m o h x h } s r h x h } p x h x h }

r p c x g g x g h s r m p r x } h

h h g } g x h

m

g u h x

m m

h } h x h m c - h h g g g h h x h h g g } p x x g h g x g c

g

g h x h p x g g x c

c g g x g g g

x }

m

o } h g u g } h g }

b } h g u g } h g }

e JEE Mains/JEE Advanced Online Prep and Guidance on www.100Marks.in


2/7

g h g } g b x g x c e g h m o

u g h g g x u g

g g x g

x h x h g z h x g b c g h g g h }

g h g x h x x h x c

g h x h x h x c g h x h x h x c g h g g g g

g x } h g g h x g h g g g

h x h x u g h x h m

} x c

g h x h x x g } g h x g c e g h

m

m

u g h g g g h } h x h g g } b " # " % c ' h x g x g

) g g h }

c

g x c g u g u g

x g 6 8

m 8

c g g A x A x g x g x h c - h A m A g

m b x x g c g x x g A c h } h x h A

g g x g g 6 8 P

m 8

c h x h g h x h x h x c

R T

g x g x g h x h x h x x g x h x u g

h x h( m

} x c

g h g u g 8

8

8

g g

x u g c h h x x h g x h g o c h g g m b } x c

- h

m o } x } % x x g c g g h } h x h h g g x g x g } U

x u c g g g h g h g } h g g g g h h x x o x } h g

g h x h x g c e g h m x W

Y x g

x b

c g h g g x g x g

u g h g g

x b

g g h x h a

m b } b " # " c - h h g g x g U

g h g h g } h g g g g o h x h g x g u g x h c

f c g x g x u g h x h

h

i m

h

i

h

i

g g p q g h g h g x g h h g g h g

g g c

T

b u h g h g g x h g g h

h

b i

m p b q

g x g g p q m p q } g g h g g c g b " o c g p b q "

b " o c

p b q

b

h

b i m

p b q

g x h g g g g c g p b q m b x h b x h g g c

b " o g g h x h

W

b f Y

g b U o c

g x g

b

h

b

i m

p b q

g g g x x g

b " b

h

b i

m b p b q



3/7

g u h x

p q b m p b q " b b p b q

m b p q b

h x h

h

b b

b

g g b x h g g c h g h g h

W b

f

Y

p

b b

b

h g x g } h x h x h g g x u g h g h g g x h } h g g g x h c

c

T

h g h h g x g x g g h g g c g h x h h g g g

h x

h x g h g h g x h g x g h x h j k h g g k h x g x g

g g h g c

g x g } h g x h g x g x u g x g x g h x p r s l n o

h c g h g g g g h g } h g h x x g g u h g g g h g g g z

h g x g h g x g u g z g g c

g h g h x g } g u h g g

h g g g h g c e g h x h g x h } h g } g g g g x x h g u x h g h g

g h g } h g g h x x k c g h g g g h g } h g x g x g g x x h g u k

} g h x g g x h g z g x h g g h x h } x

g

g h g

x h g g h g g g g m c g h g g } g h x h h g

} x h x g h g g x g } u h g b b m b

m b f f m f m c

h g h h x } h x g g x g g g h x g c h g g x g g x g

x h x g g x g x g g g h g c g } g g x g

u g c

A

B

C

D

A

B

E

A A

B

C

E

(i) (ii) (iii) (iv)

p r m r s p l m r l p s m s l x g g g h x h m z

p m z x r m

z x g g g h g c

c e g h p r s u g x x h g z x g h x g x g h | u g h h z g h g c e g h } ~ g h g h g

x g h x h h g } h g h x g p r s c g h x h

p | r | s | " } ~



4/7

A

B C

H

DK

e g h s u g h g x g h x g h x h

s p p r x s r p r c h x g h g

x h h g h s h g g h g c e g h

h g x h h g h s g g h p r x

g h | u g h g h z g h g } p r s c e g h s

g

h g g g g h h g z g } p r s

c

g x g s m } ~ h x h h g

g x h h u g g

p | r | s | " s

s m s | | h g g h p | r | " s | c g g g u g g h x h

p | m p r | m r x | m c g g

x g r | m r x | m }

} h g g } h g h z x g h x g r x r | c

g g g h g h x h p r " s c

T

h g h g g h h g

x x h g x r s p g g h

p r s m p s r r s p p r r p r p

g h x h s p r g g x h g x g } c

g g g g h g u g x h } h g u h g h x h x h g '

z o o n c

g

g h g g g c

e g h p r l s n u g h g x h h g x | u g h g h z g h g c u g g h x h

p |

p

m

p p | r q

p p r q

m

p p | s q

p p s q

g

p |

p

m

p p | r q p p | s q

p p r q p p s q

m b

p r | s q

p p r s q

x g

g } h g x h r | r l x s | s n x u g u h x g c

T

g g h

p |

p

r |

r l

s |

s n

m

g p h g x g h x h h g c

g g h

p |

p

r |

p

s |

p

"

p |

p

r |

r l

s |

s n

m

g h g g h c

e g h u g h g z g h g x g h u g h g z h } r s s p p r g g z

h g c g g h x h p | m r | m x s | m c

T

g x g x g

p h g x g h x h h g c g r s h g g x h g c

g x g

p p r s q m

p r s q

p s p q

p p r q m r s s p p r

m r s p | s p r | p r s |

p r p | r | s |



5/7

p | r | s | "

p p r s q

p r

m p

g x g g } h g } x h h x h p | m p r | m r s | m s x

p m r s g g h g z x } p r s c

g x g x h x h p

h g x g h x h h g h x h p h g g x h x g c g x g h g h x h

p r s " r s

g h g x h p " r x p " s c h h u p h

g x g h h

p p p r p s

"

p r s m p r s

g x g h h

r p r s p s " o

g p r s x h g z x g x p h g g x h x g h g g h } c

c e g h u g h g g x u g h x h

m

c g h x h

U

g g g x h x u g h h g h g }

o

h h m

m m

g x g h g h x h o c

u g g h x h x g h x g x U o o c

h g g h h

f m

b

h

i

g } g h x h h g h h g

f o c u h h h h g x g }

g g g h x h h g x g h h

f

f b

b

o

m

h g g h

f

f

b

b

o

x u g g x } h g g h g x x h h

E b nd

b na o

- h b n

b n

m b n

U o c g g h g g h } c

g u g h h x h h g g x h

g g



6/7

x g h g g x h x h

m

m

b

c

g g x x h g g g g g u g x h } h g u h g h c

g x g

m

m

x g x

m

x g g h

m

g u g g h x h

m

m

h x h

m

h g h h g h x h

g g g x g

x

c g g

f

f m

g x g g

T

z

g x h c

e g h g h m x m c g

m b x h g g x h h u g g

b U b b c g g h

U o b

- h

b m

m

g m

b f c u h h h h b x h m

h g g x h h x g h g }

f

b

U o

x u g g h

b

U o c

x g h

b U o

g g g h g h x h c u g g h x h

U

m b h x h U b c

g

x x g

"

m

b



7/7

h x h

"

c

"

b

b

m

o o

b

b

g g g h g g g x h c

g h g

m

x

m

h x h

m

m

h g g x h g g h

U

g x } h g g g h x x h h

U o

u h h h

m

m

m

m

h g g x h } h g g g h

U o

g g g h g h x h

U o c g

h g

h g h x h

U o c

h h u x

m

g g g

h g h x h

U

T

z

g x h h h g g

h g x U U g g h

U

m

g h g g x h c


Documents

inmo-2009-1 Previous year Question Papers of Indian National Mathematical Olympiad (INMO) with solutions