Class 7 Exam  >  Class 7 Notes  >  Mathematics Olympiad Model Test Paper - 2

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 Page 1


Logical Reasoning
1 . I n a c e r t a i n c o d e l a n g u a g e , i f S E A R C H i s w r i t t e n a s I D S F B T , t h e n h o w w i l l V E R B A L b e
w r i t t e n i n t h a t c o d e l a n g u a g e ?
A . M G B F C N
B . M B C S F W
C . W G B F C G
D . M C S B W F
A n s w e r : A . M G B F C N
T h e p a t t e r n i n c o d i n g : S - > I , E - > D , A - > S , R - > F , C - > B , H - > T . A p p l y i n g t h e s a m e p a t t e r n
t o V E R B A L : V - > M , E - > D , R - > S , B - > F , A - > C , L - > N . R e s u l t : M G B F C N .
2 . F i n d t h e m i s s i n g n u m b e r , i f a c e r t a i n r u l e i s f o l l o w e d e i t h e r r o w - w i s e o r c o l u m n - w i s e .
A . 4
B . 5
C . 6
D . 8
A n s w e r : B . 5
T h e p a t t e r n f o l l o w s e i t h e r r o w - w i s e o r c o l u m n - w i s e . B a s e d o n t h e c a l c u l a t i o n , t h e m i s s i n g
n u m b e r i s 5 .
3 . P o i n t i n g t o w a r d s a p e r s o n i n a p h o t o g r a p h , A n u s h k a s a i d , " H e i s t h e o n l y s o n o f t h e
f a t h e r o f m y s i s t e r ' s b r o t h e r . " H o w i s A n u s h k a r e l a t e d t o t h e p e r s o n i n t h e p h o t o g r a p h ?
A . D a u g h t e r
B . S i s t e r
C . M a t e r n a l A u n t
D . C o u s i n
A n s w e r : B . S i s t e r
T h e p e r s o n i n t h e p h o t o g r a p h i s t h e o n l y s o n o f t h e f a t h e r o f A n u s h k a ' s s i s t e r ' s b r o t h e r , w h i c h
m e a n s A n u s h k a a n d t h e p e r s o n a r e s i b l i n g s .
4 . P r i y a i s t h e m o t h e r o f V i s h a l , w h o i s t h e h u s b a n d o f S o n i k a . N i s h a n t i s t h e b r o t h e r o f
P r i y a . N i k h i l i s t h e h u s b a n d o f P r i y a . H o w i s S o n i k a r e l a t e d t o N i k h i l ?
A . D a u g h t e r - i n - l a w
B . D a u g h t e r
C . M o t h e r
D . S i s t e r - i n - l a w
A n s w e r : A . D a u g h t e r - i n - l a w
S o n i k a i s t h e w i f e o f V i s h a l , w h o i s t h e s o n o f P r i y a a n d N i k h i l . T h e r e f o r e , S o n i k a i s t h e
d a u g h t e r - i n - l a w o f N i k h i l .
5 . K a n i k a t r a v e l s 3 k m t o w a r d s E a s t a n d t h e n t u r n s t o S o u t h a n d t r a v e l s 7 k m . A g a i n , s h e
t u r n s t o E a s t a n d t r a v e l s 5 k m . N e x t , s h e t u r n s N o r t h w a r d s a n d t r a v e l s 1 3 k m . H o w f a r i s
s h e n o w f r o m h e r s t a r t i n g p o i n t ?
Page 2


Logical Reasoning
1 . I n a c e r t a i n c o d e l a n g u a g e , i f S E A R C H i s w r i t t e n a s I D S F B T , t h e n h o w w i l l V E R B A L b e
w r i t t e n i n t h a t c o d e l a n g u a g e ?
A . M G B F C N
B . M B C S F W
C . W G B F C G
D . M C S B W F
A n s w e r : A . M G B F C N
T h e p a t t e r n i n c o d i n g : S - > I , E - > D , A - > S , R - > F , C - > B , H - > T . A p p l y i n g t h e s a m e p a t t e r n
t o V E R B A L : V - > M , E - > D , R - > S , B - > F , A - > C , L - > N . R e s u l t : M G B F C N .
2 . F i n d t h e m i s s i n g n u m b e r , i f a c e r t a i n r u l e i s f o l l o w e d e i t h e r r o w - w i s e o r c o l u m n - w i s e .
A . 4
B . 5
C . 6
D . 8
A n s w e r : B . 5
T h e p a t t e r n f o l l o w s e i t h e r r o w - w i s e o r c o l u m n - w i s e . B a s e d o n t h e c a l c u l a t i o n , t h e m i s s i n g
n u m b e r i s 5 .
3 . P o i n t i n g t o w a r d s a p e r s o n i n a p h o t o g r a p h , A n u s h k a s a i d , " H e i s t h e o n l y s o n o f t h e
f a t h e r o f m y s i s t e r ' s b r o t h e r . " H o w i s A n u s h k a r e l a t e d t o t h e p e r s o n i n t h e p h o t o g r a p h ?
A . D a u g h t e r
B . S i s t e r
C . M a t e r n a l A u n t
D . C o u s i n
A n s w e r : B . S i s t e r
T h e p e r s o n i n t h e p h o t o g r a p h i s t h e o n l y s o n o f t h e f a t h e r o f A n u s h k a ' s s i s t e r ' s b r o t h e r , w h i c h
m e a n s A n u s h k a a n d t h e p e r s o n a r e s i b l i n g s .
4 . P r i y a i s t h e m o t h e r o f V i s h a l , w h o i s t h e h u s b a n d o f S o n i k a . N i s h a n t i s t h e b r o t h e r o f
P r i y a . N i k h i l i s t h e h u s b a n d o f P r i y a . H o w i s S o n i k a r e l a t e d t o N i k h i l ?
A . D a u g h t e r - i n - l a w
B . D a u g h t e r
C . M o t h e r
D . S i s t e r - i n - l a w
A n s w e r : A . D a u g h t e r - i n - l a w
S o n i k a i s t h e w i f e o f V i s h a l , w h o i s t h e s o n o f P r i y a a n d N i k h i l . T h e r e f o r e , S o n i k a i s t h e
d a u g h t e r - i n - l a w o f N i k h i l .
5 . K a n i k a t r a v e l s 3 k m t o w a r d s E a s t a n d t h e n t u r n s t o S o u t h a n d t r a v e l s 7 k m . A g a i n , s h e
t u r n s t o E a s t a n d t r a v e l s 5 k m . N e x t , s h e t u r n s N o r t h w a r d s a n d t r a v e l s 1 3 k m . H o w f a r i s
s h e n o w f r o m h e r s t a r t i n g p o i n t ?
A . 1 0 k m
B . 1 5 k m
C . 1 2 k m
D . 1 3 k m
A n s w e r : A . 1 0 k m
K a n i k a t r a v e l s 3 k m E a s t , t h e n 7 k m S o u t h , t h e n 5 k m E a s t , t h e n 1 3 k m N o r t h . D i s t a n c e f r o m
t h e s t a r t i n g p o i n t : E f f e c t i v e E a s t m o v e m e n t = 8 k m , E f f e c t i v e N o r t h m o v e m e n t = 6 k m . D i s t a n c e
f r o m t h e s t a r t i n g p o i n t = v ( 8 ² + 6 ² ) = v ( 6 4 + 3 6 ) = v 1 0 0 = 1 0 k m .
6 . A s h w i n i i s i n t h e S o u t h - W e s t o f S u s h m i t a , A l k a i s t o t h e E a s t o f A s h w i n i a n d
S o u t h - E a s t o f S u s h m i t a . P r e r n a i s t o t h e N o r t h o f A l k a i n a l i n e w i t h A s h w i n i a n d
S u s h m i t a . I n w h i c h d i r e c t i o n i s P r e r n a l o c a t e d w i t h r e s p e c t t o S u s h m i t a ?
A . N o r t h - W e s t
B . S o u t h - W e s t
C . S o u t h - E a s t
D . N o r t h - E a s t
A n s w e r : D . N o r t h - E a s t
P r e r n a i s t o t h e N o r t h o f A l k a , w h o i s t o t h e S o u t h - E a s t o f S u s h m i t a . T h e r e f o r e , P r e r n a i s t o t h e
N o r t h - E a s t o f S u s h m i t a .
7 . I n t r o d u c i n g a w o m a n , S h a s h a n k s a i d , “ S h e i s t h e m o t h e r o f t h e o n l y d a u g h t e r o f m y
s o n . ” H o w i s t h e w o m a n r e l a t e d t o S h a s h a n k ?
A . D a u g h t e r
B . S i s t e r - i n - l a w
C . W i f e
D . D a u g h t e r - i n - l a w
A n s w e r : D . D a u g h t e r - i n - l a w
T h e w o m a n i s t h e m o t h e r o f S h a s h a n k ' s g r a n d d a u g h t e r . H e n c e , s h e i s t h e d a u g h t e r - i n - l a w o f
S h a s h a n k .
8 . K a n i k a t r a v e l s 3 k m t o w a r d s E a s t a n d t h e n t u r n s t o S o u t h a n d t r a v e l s 7 k m . A g a i n , s h e
t u r n s t o E a s t a n d t r a v e l s 5 k m . N e x t , s h e t u r n s N o r t h w a r d s a n d t r a v e l s 1 3 k m . H o w f a r i s
s h e n o w f r o m h e r s t a r t i n g p o i n t ?
A . 1 0 k m
B . 1 5 k m
C . 1 2 k m
D . 1 3 k m
A n s w e r : A . 1 0 k m
E f f e c t i v e m o v e m e n t : 3 + 5 = 8 k m E a s t , 1 3 - 7 = 6 k m N o r t h . D i s t a n c e : v ( 8 ² + 6 ² ) = 1 0 k m .
9 . B i p i n i s t h e s o n o f A s h o k . I s h u i s t h e b r o t h e r o f B i p i n a n d K r i s h n a i s t h e w i f e o f A s h o k .
B i p i n i s m a r r i e d t o A a r t i , t h e n h o w i s I s h u r e l a t e d t o A a r t i ?
A . B r o t h e r
B . B r o t h e r - i n - l a w
C . H u s b a n d
Page 3


Logical Reasoning
1 . I n a c e r t a i n c o d e l a n g u a g e , i f S E A R C H i s w r i t t e n a s I D S F B T , t h e n h o w w i l l V E R B A L b e
w r i t t e n i n t h a t c o d e l a n g u a g e ?
A . M G B F C N
B . M B C S F W
C . W G B F C G
D . M C S B W F
A n s w e r : A . M G B F C N
T h e p a t t e r n i n c o d i n g : S - > I , E - > D , A - > S , R - > F , C - > B , H - > T . A p p l y i n g t h e s a m e p a t t e r n
t o V E R B A L : V - > M , E - > D , R - > S , B - > F , A - > C , L - > N . R e s u l t : M G B F C N .
2 . F i n d t h e m i s s i n g n u m b e r , i f a c e r t a i n r u l e i s f o l l o w e d e i t h e r r o w - w i s e o r c o l u m n - w i s e .
A . 4
B . 5
C . 6
D . 8
A n s w e r : B . 5
T h e p a t t e r n f o l l o w s e i t h e r r o w - w i s e o r c o l u m n - w i s e . B a s e d o n t h e c a l c u l a t i o n , t h e m i s s i n g
n u m b e r i s 5 .
3 . P o i n t i n g t o w a r d s a p e r s o n i n a p h o t o g r a p h , A n u s h k a s a i d , " H e i s t h e o n l y s o n o f t h e
f a t h e r o f m y s i s t e r ' s b r o t h e r . " H o w i s A n u s h k a r e l a t e d t o t h e p e r s o n i n t h e p h o t o g r a p h ?
A . D a u g h t e r
B . S i s t e r
C . M a t e r n a l A u n t
D . C o u s i n
A n s w e r : B . S i s t e r
T h e p e r s o n i n t h e p h o t o g r a p h i s t h e o n l y s o n o f t h e f a t h e r o f A n u s h k a ' s s i s t e r ' s b r o t h e r , w h i c h
m e a n s A n u s h k a a n d t h e p e r s o n a r e s i b l i n g s .
4 . P r i y a i s t h e m o t h e r o f V i s h a l , w h o i s t h e h u s b a n d o f S o n i k a . N i s h a n t i s t h e b r o t h e r o f
P r i y a . N i k h i l i s t h e h u s b a n d o f P r i y a . H o w i s S o n i k a r e l a t e d t o N i k h i l ?
A . D a u g h t e r - i n - l a w
B . D a u g h t e r
C . M o t h e r
D . S i s t e r - i n - l a w
A n s w e r : A . D a u g h t e r - i n - l a w
S o n i k a i s t h e w i f e o f V i s h a l , w h o i s t h e s o n o f P r i y a a n d N i k h i l . T h e r e f o r e , S o n i k a i s t h e
d a u g h t e r - i n - l a w o f N i k h i l .
5 . K a n i k a t r a v e l s 3 k m t o w a r d s E a s t a n d t h e n t u r n s t o S o u t h a n d t r a v e l s 7 k m . A g a i n , s h e
t u r n s t o E a s t a n d t r a v e l s 5 k m . N e x t , s h e t u r n s N o r t h w a r d s a n d t r a v e l s 1 3 k m . H o w f a r i s
s h e n o w f r o m h e r s t a r t i n g p o i n t ?
A . 1 0 k m
B . 1 5 k m
C . 1 2 k m
D . 1 3 k m
A n s w e r : A . 1 0 k m
K a n i k a t r a v e l s 3 k m E a s t , t h e n 7 k m S o u t h , t h e n 5 k m E a s t , t h e n 1 3 k m N o r t h . D i s t a n c e f r o m
t h e s t a r t i n g p o i n t : E f f e c t i v e E a s t m o v e m e n t = 8 k m , E f f e c t i v e N o r t h m o v e m e n t = 6 k m . D i s t a n c e
f r o m t h e s t a r t i n g p o i n t = v ( 8 ² + 6 ² ) = v ( 6 4 + 3 6 ) = v 1 0 0 = 1 0 k m .
6 . A s h w i n i i s i n t h e S o u t h - W e s t o f S u s h m i t a , A l k a i s t o t h e E a s t o f A s h w i n i a n d
S o u t h - E a s t o f S u s h m i t a . P r e r n a i s t o t h e N o r t h o f A l k a i n a l i n e w i t h A s h w i n i a n d
S u s h m i t a . I n w h i c h d i r e c t i o n i s P r e r n a l o c a t e d w i t h r e s p e c t t o S u s h m i t a ?
A . N o r t h - W e s t
B . S o u t h - W e s t
C . S o u t h - E a s t
D . N o r t h - E a s t
A n s w e r : D . N o r t h - E a s t
P r e r n a i s t o t h e N o r t h o f A l k a , w h o i s t o t h e S o u t h - E a s t o f S u s h m i t a . T h e r e f o r e , P r e r n a i s t o t h e
N o r t h - E a s t o f S u s h m i t a .
7 . I n t r o d u c i n g a w o m a n , S h a s h a n k s a i d , “ S h e i s t h e m o t h e r o f t h e o n l y d a u g h t e r o f m y
s o n . ” H o w i s t h e w o m a n r e l a t e d t o S h a s h a n k ?
A . D a u g h t e r
B . S i s t e r - i n - l a w
C . W i f e
D . D a u g h t e r - i n - l a w
A n s w e r : D . D a u g h t e r - i n - l a w
T h e w o m a n i s t h e m o t h e r o f S h a s h a n k ' s g r a n d d a u g h t e r . H e n c e , s h e i s t h e d a u g h t e r - i n - l a w o f
S h a s h a n k .
8 . K a n i k a t r a v e l s 3 k m t o w a r d s E a s t a n d t h e n t u r n s t o S o u t h a n d t r a v e l s 7 k m . A g a i n , s h e
t u r n s t o E a s t a n d t r a v e l s 5 k m . N e x t , s h e t u r n s N o r t h w a r d s a n d t r a v e l s 1 3 k m . H o w f a r i s
s h e n o w f r o m h e r s t a r t i n g p o i n t ?
A . 1 0 k m
B . 1 5 k m
C . 1 2 k m
D . 1 3 k m
A n s w e r : A . 1 0 k m
E f f e c t i v e m o v e m e n t : 3 + 5 = 8 k m E a s t , 1 3 - 7 = 6 k m N o r t h . D i s t a n c e : v ( 8 ² + 6 ² ) = 1 0 k m .
9 . B i p i n i s t h e s o n o f A s h o k . I s h u i s t h e b r o t h e r o f B i p i n a n d K r i s h n a i s t h e w i f e o f A s h o k .
B i p i n i s m a r r i e d t o A a r t i , t h e n h o w i s I s h u r e l a t e d t o A a r t i ?
A . B r o t h e r
B . B r o t h e r - i n - l a w
C . H u s b a n d
D . F a t h e r
A n s w e r : B . B r o t h e r - i n - l a w
I s h u i s t h e b r o t h e r o f B i p i n , w h o i s A a r t i ' s h u s b a n d . T h e r e f o r e , I s h u i s A a r t i ' s b r o t h e r - i n - l a w .
1 0 . I n t h e g i v e n V e n n d i a g r a m , r e c t a n g l e r e p r e s e n t s c h i l d r e n g o i n g t o s c h o o l , c i r c l e
r e p r e s e n t s c h i l d r e n l i v i n g i n a v i l l a g e a n d t r i a n g l e r e p r e s e n t s c h i l d r e n w h o l i k e s p o r t s .
W h i c h o f t h e f o l l o w i n g n u m b e r s r e p r e s e n t s c h i l d r e n w h o l i v e i n a v i l l a g e a n d g o t o
s c h o o l b u t d o n o t l i k e s p o r t s ?
A . 1 2
B . 1 0
C . 1 5
D . 1 1
A n s w e r : C . 1 5
N u m b e r 1 5 r e p r e s e n t s t h e c h i l d r e n w h o l i v e i n a v i l l a g e a n d g o t o s c h o o l b u t d o n o t l i k e s p o r t s .
1 1 . W h i c h o f t h e f o l l o w i n g n u m b e r s l i e s o n t h e f a c e o p p o s i t e t o t h e f a c e h a v i n g n u m b e r 2 ,
w h e n t h e g i v e n n e t i s f o l d e d t o f o r m a c u b e ?
A . 4
B . 3
C . 6
D . 5
A n s w e r : B . 3
T h e n u m b e r s o n o p p o s i t e f a c e s a r e : ( 1 , 6 ) , ( 2 , 3 ) a n d ( 4 , 5 ) .
1 2 . F i n d t h e n u m b e r o f t r i a n g l e s f o r m e d i n t h e g i v e n f i g u r e .
A . 1 0
Page 4


Logical Reasoning
1 . I n a c e r t a i n c o d e l a n g u a g e , i f S E A R C H i s w r i t t e n a s I D S F B T , t h e n h o w w i l l V E R B A L b e
w r i t t e n i n t h a t c o d e l a n g u a g e ?
A . M G B F C N
B . M B C S F W
C . W G B F C G
D . M C S B W F
A n s w e r : A . M G B F C N
T h e p a t t e r n i n c o d i n g : S - > I , E - > D , A - > S , R - > F , C - > B , H - > T . A p p l y i n g t h e s a m e p a t t e r n
t o V E R B A L : V - > M , E - > D , R - > S , B - > F , A - > C , L - > N . R e s u l t : M G B F C N .
2 . F i n d t h e m i s s i n g n u m b e r , i f a c e r t a i n r u l e i s f o l l o w e d e i t h e r r o w - w i s e o r c o l u m n - w i s e .
A . 4
B . 5
C . 6
D . 8
A n s w e r : B . 5
T h e p a t t e r n f o l l o w s e i t h e r r o w - w i s e o r c o l u m n - w i s e . B a s e d o n t h e c a l c u l a t i o n , t h e m i s s i n g
n u m b e r i s 5 .
3 . P o i n t i n g t o w a r d s a p e r s o n i n a p h o t o g r a p h , A n u s h k a s a i d , " H e i s t h e o n l y s o n o f t h e
f a t h e r o f m y s i s t e r ' s b r o t h e r . " H o w i s A n u s h k a r e l a t e d t o t h e p e r s o n i n t h e p h o t o g r a p h ?
A . D a u g h t e r
B . S i s t e r
C . M a t e r n a l A u n t
D . C o u s i n
A n s w e r : B . S i s t e r
T h e p e r s o n i n t h e p h o t o g r a p h i s t h e o n l y s o n o f t h e f a t h e r o f A n u s h k a ' s s i s t e r ' s b r o t h e r , w h i c h
m e a n s A n u s h k a a n d t h e p e r s o n a r e s i b l i n g s .
4 . P r i y a i s t h e m o t h e r o f V i s h a l , w h o i s t h e h u s b a n d o f S o n i k a . N i s h a n t i s t h e b r o t h e r o f
P r i y a . N i k h i l i s t h e h u s b a n d o f P r i y a . H o w i s S o n i k a r e l a t e d t o N i k h i l ?
A . D a u g h t e r - i n - l a w
B . D a u g h t e r
C . M o t h e r
D . S i s t e r - i n - l a w
A n s w e r : A . D a u g h t e r - i n - l a w
S o n i k a i s t h e w i f e o f V i s h a l , w h o i s t h e s o n o f P r i y a a n d N i k h i l . T h e r e f o r e , S o n i k a i s t h e
d a u g h t e r - i n - l a w o f N i k h i l .
5 . K a n i k a t r a v e l s 3 k m t o w a r d s E a s t a n d t h e n t u r n s t o S o u t h a n d t r a v e l s 7 k m . A g a i n , s h e
t u r n s t o E a s t a n d t r a v e l s 5 k m . N e x t , s h e t u r n s N o r t h w a r d s a n d t r a v e l s 1 3 k m . H o w f a r i s
s h e n o w f r o m h e r s t a r t i n g p o i n t ?
A . 1 0 k m
B . 1 5 k m
C . 1 2 k m
D . 1 3 k m
A n s w e r : A . 1 0 k m
K a n i k a t r a v e l s 3 k m E a s t , t h e n 7 k m S o u t h , t h e n 5 k m E a s t , t h e n 1 3 k m N o r t h . D i s t a n c e f r o m
t h e s t a r t i n g p o i n t : E f f e c t i v e E a s t m o v e m e n t = 8 k m , E f f e c t i v e N o r t h m o v e m e n t = 6 k m . D i s t a n c e
f r o m t h e s t a r t i n g p o i n t = v ( 8 ² + 6 ² ) = v ( 6 4 + 3 6 ) = v 1 0 0 = 1 0 k m .
6 . A s h w i n i i s i n t h e S o u t h - W e s t o f S u s h m i t a , A l k a i s t o t h e E a s t o f A s h w i n i a n d
S o u t h - E a s t o f S u s h m i t a . P r e r n a i s t o t h e N o r t h o f A l k a i n a l i n e w i t h A s h w i n i a n d
S u s h m i t a . I n w h i c h d i r e c t i o n i s P r e r n a l o c a t e d w i t h r e s p e c t t o S u s h m i t a ?
A . N o r t h - W e s t
B . S o u t h - W e s t
C . S o u t h - E a s t
D . N o r t h - E a s t
A n s w e r : D . N o r t h - E a s t
P r e r n a i s t o t h e N o r t h o f A l k a , w h o i s t o t h e S o u t h - E a s t o f S u s h m i t a . T h e r e f o r e , P r e r n a i s t o t h e
N o r t h - E a s t o f S u s h m i t a .
7 . I n t r o d u c i n g a w o m a n , S h a s h a n k s a i d , “ S h e i s t h e m o t h e r o f t h e o n l y d a u g h t e r o f m y
s o n . ” H o w i s t h e w o m a n r e l a t e d t o S h a s h a n k ?
A . D a u g h t e r
B . S i s t e r - i n - l a w
C . W i f e
D . D a u g h t e r - i n - l a w
A n s w e r : D . D a u g h t e r - i n - l a w
T h e w o m a n i s t h e m o t h e r o f S h a s h a n k ' s g r a n d d a u g h t e r . H e n c e , s h e i s t h e d a u g h t e r - i n - l a w o f
S h a s h a n k .
8 . K a n i k a t r a v e l s 3 k m t o w a r d s E a s t a n d t h e n t u r n s t o S o u t h a n d t r a v e l s 7 k m . A g a i n , s h e
t u r n s t o E a s t a n d t r a v e l s 5 k m . N e x t , s h e t u r n s N o r t h w a r d s a n d t r a v e l s 1 3 k m . H o w f a r i s
s h e n o w f r o m h e r s t a r t i n g p o i n t ?
A . 1 0 k m
B . 1 5 k m
C . 1 2 k m
D . 1 3 k m
A n s w e r : A . 1 0 k m
E f f e c t i v e m o v e m e n t : 3 + 5 = 8 k m E a s t , 1 3 - 7 = 6 k m N o r t h . D i s t a n c e : v ( 8 ² + 6 ² ) = 1 0 k m .
9 . B i p i n i s t h e s o n o f A s h o k . I s h u i s t h e b r o t h e r o f B i p i n a n d K r i s h n a i s t h e w i f e o f A s h o k .
B i p i n i s m a r r i e d t o A a r t i , t h e n h o w i s I s h u r e l a t e d t o A a r t i ?
A . B r o t h e r
B . B r o t h e r - i n - l a w
C . H u s b a n d
D . F a t h e r
A n s w e r : B . B r o t h e r - i n - l a w
I s h u i s t h e b r o t h e r o f B i p i n , w h o i s A a r t i ' s h u s b a n d . T h e r e f o r e , I s h u i s A a r t i ' s b r o t h e r - i n - l a w .
1 0 . I n t h e g i v e n V e n n d i a g r a m , r e c t a n g l e r e p r e s e n t s c h i l d r e n g o i n g t o s c h o o l , c i r c l e
r e p r e s e n t s c h i l d r e n l i v i n g i n a v i l l a g e a n d t r i a n g l e r e p r e s e n t s c h i l d r e n w h o l i k e s p o r t s .
W h i c h o f t h e f o l l o w i n g n u m b e r s r e p r e s e n t s c h i l d r e n w h o l i v e i n a v i l l a g e a n d g o t o
s c h o o l b u t d o n o t l i k e s p o r t s ?
A . 1 2
B . 1 0
C . 1 5
D . 1 1
A n s w e r : C . 1 5
N u m b e r 1 5 r e p r e s e n t s t h e c h i l d r e n w h o l i v e i n a v i l l a g e a n d g o t o s c h o o l b u t d o n o t l i k e s p o r t s .
1 1 . W h i c h o f t h e f o l l o w i n g n u m b e r s l i e s o n t h e f a c e o p p o s i t e t o t h e f a c e h a v i n g n u m b e r 2 ,
w h e n t h e g i v e n n e t i s f o l d e d t o f o r m a c u b e ?
A . 4
B . 3
C . 6
D . 5
A n s w e r : B . 3
T h e n u m b e r s o n o p p o s i t e f a c e s a r e : ( 1 , 6 ) , ( 2 , 3 ) a n d ( 4 , 5 ) .
1 2 . F i n d t h e n u m b e r o f t r i a n g l e s f o r m e d i n t h e g i v e n f i g u r e .
A . 1 0
B . 1 1
C . 1 2
D . M o r e t h a n 1 2
A n s w e r : D . M o r e t h a n 1 2
T r i a n g l e s f o r m e d a r e : a , b , c , d , e , f , g , i , j , l , j k , f h , a n d a m e i i . e . , 1 3 i n n u m b e r .
1 3 . T h e g i v e n q u e s t i o n c o n s i s t s o f a s e t o f t h r e e f i g u r e s P , Q , a n d R s h o w i n g t h e f o l d i n g
o f a p i e c e o f p a p e r . F i g . R s h o w s t h e m a n n e r i n w h i c h t h e f o l d e d p a p e r h a s b e e n c u t .
S e l e c t a f i g u r e f r o m t h e o p t i o n s w h i c h s h o w s t h e u n f o l d e d f o r m o f F i g . R .
A .
B .
C .
D .
A n s w e r : D
1 4 . T h e r e i s a c e r t a i n r e l a t i o n s h i p b e t w e e n f i g u r e s ( i ) a n d ( i i ) . E s t a b l i s h t h e s i m i l a r
r e l a t i o n s h i p b e t w e e n f i g u r e s ( i i i ) a n d ( i v ) b y s e l e c t i n g a s u i t a b l e f i g u r e f r o m t h e o p t i o n s
t h a t w i l l r e p l a c e t h e ( ? ) i n f i g . ( i v ) .
A .
Page 5


Logical Reasoning
1 . I n a c e r t a i n c o d e l a n g u a g e , i f S E A R C H i s w r i t t e n a s I D S F B T , t h e n h o w w i l l V E R B A L b e
w r i t t e n i n t h a t c o d e l a n g u a g e ?
A . M G B F C N
B . M B C S F W
C . W G B F C G
D . M C S B W F
A n s w e r : A . M G B F C N
T h e p a t t e r n i n c o d i n g : S - > I , E - > D , A - > S , R - > F , C - > B , H - > T . A p p l y i n g t h e s a m e p a t t e r n
t o V E R B A L : V - > M , E - > D , R - > S , B - > F , A - > C , L - > N . R e s u l t : M G B F C N .
2 . F i n d t h e m i s s i n g n u m b e r , i f a c e r t a i n r u l e i s f o l l o w e d e i t h e r r o w - w i s e o r c o l u m n - w i s e .
A . 4
B . 5
C . 6
D . 8
A n s w e r : B . 5
T h e p a t t e r n f o l l o w s e i t h e r r o w - w i s e o r c o l u m n - w i s e . B a s e d o n t h e c a l c u l a t i o n , t h e m i s s i n g
n u m b e r i s 5 .
3 . P o i n t i n g t o w a r d s a p e r s o n i n a p h o t o g r a p h , A n u s h k a s a i d , " H e i s t h e o n l y s o n o f t h e
f a t h e r o f m y s i s t e r ' s b r o t h e r . " H o w i s A n u s h k a r e l a t e d t o t h e p e r s o n i n t h e p h o t o g r a p h ?
A . D a u g h t e r
B . S i s t e r
C . M a t e r n a l A u n t
D . C o u s i n
A n s w e r : B . S i s t e r
T h e p e r s o n i n t h e p h o t o g r a p h i s t h e o n l y s o n o f t h e f a t h e r o f A n u s h k a ' s s i s t e r ' s b r o t h e r , w h i c h
m e a n s A n u s h k a a n d t h e p e r s o n a r e s i b l i n g s .
4 . P r i y a i s t h e m o t h e r o f V i s h a l , w h o i s t h e h u s b a n d o f S o n i k a . N i s h a n t i s t h e b r o t h e r o f
P r i y a . N i k h i l i s t h e h u s b a n d o f P r i y a . H o w i s S o n i k a r e l a t e d t o N i k h i l ?
A . D a u g h t e r - i n - l a w
B . D a u g h t e r
C . M o t h e r
D . S i s t e r - i n - l a w
A n s w e r : A . D a u g h t e r - i n - l a w
S o n i k a i s t h e w i f e o f V i s h a l , w h o i s t h e s o n o f P r i y a a n d N i k h i l . T h e r e f o r e , S o n i k a i s t h e
d a u g h t e r - i n - l a w o f N i k h i l .
5 . K a n i k a t r a v e l s 3 k m t o w a r d s E a s t a n d t h e n t u r n s t o S o u t h a n d t r a v e l s 7 k m . A g a i n , s h e
t u r n s t o E a s t a n d t r a v e l s 5 k m . N e x t , s h e t u r n s N o r t h w a r d s a n d t r a v e l s 1 3 k m . H o w f a r i s
s h e n o w f r o m h e r s t a r t i n g p o i n t ?
A . 1 0 k m
B . 1 5 k m
C . 1 2 k m
D . 1 3 k m
A n s w e r : A . 1 0 k m
K a n i k a t r a v e l s 3 k m E a s t , t h e n 7 k m S o u t h , t h e n 5 k m E a s t , t h e n 1 3 k m N o r t h . D i s t a n c e f r o m
t h e s t a r t i n g p o i n t : E f f e c t i v e E a s t m o v e m e n t = 8 k m , E f f e c t i v e N o r t h m o v e m e n t = 6 k m . D i s t a n c e
f r o m t h e s t a r t i n g p o i n t = v ( 8 ² + 6 ² ) = v ( 6 4 + 3 6 ) = v 1 0 0 = 1 0 k m .
6 . A s h w i n i i s i n t h e S o u t h - W e s t o f S u s h m i t a , A l k a i s t o t h e E a s t o f A s h w i n i a n d
S o u t h - E a s t o f S u s h m i t a . P r e r n a i s t o t h e N o r t h o f A l k a i n a l i n e w i t h A s h w i n i a n d
S u s h m i t a . I n w h i c h d i r e c t i o n i s P r e r n a l o c a t e d w i t h r e s p e c t t o S u s h m i t a ?
A . N o r t h - W e s t
B . S o u t h - W e s t
C . S o u t h - E a s t
D . N o r t h - E a s t
A n s w e r : D . N o r t h - E a s t
P r e r n a i s t o t h e N o r t h o f A l k a , w h o i s t o t h e S o u t h - E a s t o f S u s h m i t a . T h e r e f o r e , P r e r n a i s t o t h e
N o r t h - E a s t o f S u s h m i t a .
7 . I n t r o d u c i n g a w o m a n , S h a s h a n k s a i d , “ S h e i s t h e m o t h e r o f t h e o n l y d a u g h t e r o f m y
s o n . ” H o w i s t h e w o m a n r e l a t e d t o S h a s h a n k ?
A . D a u g h t e r
B . S i s t e r - i n - l a w
C . W i f e
D . D a u g h t e r - i n - l a w
A n s w e r : D . D a u g h t e r - i n - l a w
T h e w o m a n i s t h e m o t h e r o f S h a s h a n k ' s g r a n d d a u g h t e r . H e n c e , s h e i s t h e d a u g h t e r - i n - l a w o f
S h a s h a n k .
8 . K a n i k a t r a v e l s 3 k m t o w a r d s E a s t a n d t h e n t u r n s t o S o u t h a n d t r a v e l s 7 k m . A g a i n , s h e
t u r n s t o E a s t a n d t r a v e l s 5 k m . N e x t , s h e t u r n s N o r t h w a r d s a n d t r a v e l s 1 3 k m . H o w f a r i s
s h e n o w f r o m h e r s t a r t i n g p o i n t ?
A . 1 0 k m
B . 1 5 k m
C . 1 2 k m
D . 1 3 k m
A n s w e r : A . 1 0 k m
E f f e c t i v e m o v e m e n t : 3 + 5 = 8 k m E a s t , 1 3 - 7 = 6 k m N o r t h . D i s t a n c e : v ( 8 ² + 6 ² ) = 1 0 k m .
9 . B i p i n i s t h e s o n o f A s h o k . I s h u i s t h e b r o t h e r o f B i p i n a n d K r i s h n a i s t h e w i f e o f A s h o k .
B i p i n i s m a r r i e d t o A a r t i , t h e n h o w i s I s h u r e l a t e d t o A a r t i ?
A . B r o t h e r
B . B r o t h e r - i n - l a w
C . H u s b a n d
D . F a t h e r
A n s w e r : B . B r o t h e r - i n - l a w
I s h u i s t h e b r o t h e r o f B i p i n , w h o i s A a r t i ' s h u s b a n d . T h e r e f o r e , I s h u i s A a r t i ' s b r o t h e r - i n - l a w .
1 0 . I n t h e g i v e n V e n n d i a g r a m , r e c t a n g l e r e p r e s e n t s c h i l d r e n g o i n g t o s c h o o l , c i r c l e
r e p r e s e n t s c h i l d r e n l i v i n g i n a v i l l a g e a n d t r i a n g l e r e p r e s e n t s c h i l d r e n w h o l i k e s p o r t s .
W h i c h o f t h e f o l l o w i n g n u m b e r s r e p r e s e n t s c h i l d r e n w h o l i v e i n a v i l l a g e a n d g o t o
s c h o o l b u t d o n o t l i k e s p o r t s ?
A . 1 2
B . 1 0
C . 1 5
D . 1 1
A n s w e r : C . 1 5
N u m b e r 1 5 r e p r e s e n t s t h e c h i l d r e n w h o l i v e i n a v i l l a g e a n d g o t o s c h o o l b u t d o n o t l i k e s p o r t s .
1 1 . W h i c h o f t h e f o l l o w i n g n u m b e r s l i e s o n t h e f a c e o p p o s i t e t o t h e f a c e h a v i n g n u m b e r 2 ,
w h e n t h e g i v e n n e t i s f o l d e d t o f o r m a c u b e ?
A . 4
B . 3
C . 6
D . 5
A n s w e r : B . 3
T h e n u m b e r s o n o p p o s i t e f a c e s a r e : ( 1 , 6 ) , ( 2 , 3 ) a n d ( 4 , 5 ) .
1 2 . F i n d t h e n u m b e r o f t r i a n g l e s f o r m e d i n t h e g i v e n f i g u r e .
A . 1 0
B . 1 1
C . 1 2
D . M o r e t h a n 1 2
A n s w e r : D . M o r e t h a n 1 2
T r i a n g l e s f o r m e d a r e : a , b , c , d , e , f , g , i , j , l , j k , f h , a n d a m e i i . e . , 1 3 i n n u m b e r .
1 3 . T h e g i v e n q u e s t i o n c o n s i s t s o f a s e t o f t h r e e f i g u r e s P , Q , a n d R s h o w i n g t h e f o l d i n g
o f a p i e c e o f p a p e r . F i g . R s h o w s t h e m a n n e r i n w h i c h t h e f o l d e d p a p e r h a s b e e n c u t .
S e l e c t a f i g u r e f r o m t h e o p t i o n s w h i c h s h o w s t h e u n f o l d e d f o r m o f F i g . R .
A .
B .
C .
D .
A n s w e r : D
1 4 . T h e r e i s a c e r t a i n r e l a t i o n s h i p b e t w e e n f i g u r e s ( i ) a n d ( i i ) . E s t a b l i s h t h e s i m i l a r
r e l a t i o n s h i p b e t w e e n f i g u r e s ( i i i ) a n d ( i v ) b y s e l e c t i n g a s u i t a b l e f i g u r e f r o m t h e o p t i o n s
t h a t w i l l r e p l a c e t h e ( ? ) i n f i g . ( i v ) .
A .
B .
C .
D .
A n s w e r : A
F r o m f i g u r e ( i ) t o ( i i ) , t h e c o r n e r e l e m e n t s i n t e r c h a n g e t h e i r p o s i t i o n s d i a g o n a l l y . A l s o , t h e
c e n t e r e l e m e n t s a r e t h e m i r r o r i m a g e s o f e a c h o t h e r .
1 5 . W h i c h o f t h e f o l l o w i n g o p t i o n s d o e s n o t s a t i s f y t h e s a m e c o n d i t i o n s o f p l a c e m e n t o f
d o t s a s i n t h e g i v e n f i g u r e ?
A n s w e r : B
Mathematical Reasoning
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FAQs on Mathematics Olympiad Model Test Paper - 2 - Class 7

1. How can I prepare for the Mathematics Olympiad for Class 7?
Ans. To prepare for the Mathematics Olympiad for Class 7, it is essential to practice solving mathematical problems regularly. You can use study materials, textbooks, previous year question papers, and online resources to improve your problem-solving skills.
2. What topics are important for the Mathematics Olympiad for Class 7?
Ans. Some important topics for the Mathematics Olympiad for Class 7 include fractions, decimals, geometry, algebra, percentages, ratio and proportions, data handling, and basic number theory concepts.
3. How can I improve my speed in solving mathematical problems for the Mathematics Olympiad?
Ans. To improve your speed in solving mathematical problems for the Mathematics Olympiad, you can practice solving problems under timed conditions, use shortcuts and tricks, and enhance your mental math skills.
4. Are there any online resources available for practicing for the Mathematics Olympiad for Class 7?
Ans. Yes, there are several online resources available for practicing for the Mathematics Olympiad for Class 7. You can find practice tests, sample papers, and study materials on various educational websites and platforms.
5. Is it necessary to have a strong foundation in mathematics to excel in the Mathematics Olympiad for Class 7?
Ans. While having a strong foundation in mathematics can be beneficial, it is not necessary to excel in the Mathematics Olympiad for Class 7. With regular practice, dedication, and problem-solving skills, you can improve your performance in the Olympiad.
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