Mathematics Olympiad Previous Year Papers - 2

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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 E D U C A T I O N i s c o d e d a s V W F X Z G R L M , t h e n h o w w i l l
E L E P H A N T S b e c o d e d i n t h a t l a n g u a g e ?
O p t i o n s :
A . V O V K S Z M H G
B . V O V K S Z M G H
C . V O V K Z S M G H
D . V O K V Z S M G H
A n s w e r : A . V O V K S Z M H G
S o l u t i o n : F o l l o w i n g t h e p a t t e r n i n c o d i n g : E D U C A T I O N - > V W F X Z G R L M . A p p l y i n g t h e s a m e
p a t t e r n t o E L E P H A N T S : E - > V , L - > O , E - > V , P - > K , H - > S , A - > Z , N - > M , T - > H , S - > G .
R e s u l t : V O V K S Z M H G .
2 . I f t h e l a s t t e n c h a r a c t e r s o f t h e g i v e n s e r i e s a r e w r i t t e n i n r e v e r s e o r d e r , t h e n w h a t w i l l
b e t h e 6 t h c h a r a c t e r t o t h e l e f t o f t h e 1 3 t h c h a r a c t e r f r o m t h e r i g h t e n d ?
O p t i o n s :
A . 4 F # G U 2 M * Y P 9 S Q T 6 S B 5 D N H Z
B . G
C . A
D . U
E . #
A n s w e r : D . U
S o l u t i o n : R e v e r s e t h e l a s t t e n c h a r a c t e r s : Z H N D 5 S 6 T Q S . F i n d t h e 1 3 t h c h a r a c t e r f r o m
t h e r i g h t ( i n c l u d i n g t h e r e v e r s e d s e g m e n t ) : Q . T h e n f i n d t h e 6 t h c h a r a c t e r t o t h e l e f t o f Q : U .
3 . I f ' P ' s t a n d s f o r ' d i v i s i o n ' , ' Q ' s t a n d s f o r ' m u l t i p l i c a t i o n ' a n d ' R ' s t a n d s f o r ' s u b t r a c t i o n ' ,
t h e n f i n d t h e v a l u e o f 1 2 6 R 1 1 Q 5 6 P 1 4 .
O p t i o n s :
A . 8 2
B . 1 3 8
C . 7 8
D . 5 2
A n s w e r : A . 8 2
S o l u t i o n : 1 2 6 - 1 1 * 5 6 ÷ 1 4 = 1 2 6 - 1 1 * 4 = 1 2 6 - 4 4 = 8 2 .
4 . 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 ?
O p t i o n s :
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
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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 E D U C A T I O N i s c o d e d a s V W F X Z G R L M , t h e n h o w w i l l
E L E P H A N T S b e c o d e d i n t h a t l a n g u a g e ?
O p t i o n s :
A . V O V K S Z M H G
B . V O V K S Z M G H
C . V O V K Z S M G H
D . V O K V Z S M G H
A n s w e r : A . V O V K S Z M H G
S o l u t i o n : F o l l o w i n g t h e p a t t e r n i n c o d i n g : E D U C A T I O N - > V W F X Z G R L M . A p p l y i n g t h e s a m e
p a t t e r n t o E L E P H A N T S : E - > V , L - > O , E - > V , P - > K , H - > S , A - > Z , N - > M , T - > H , S - > G .
R e s u l t : V O V K S Z M H G .
2 . I f t h e l a s t t e n c h a r a c t e r s o f t h e g i v e n s e r i e s a r e w r i t t e n i n r e v e r s e o r d e r , t h e n w h a t w i l l
b e t h e 6 t h c h a r a c t e r t o t h e l e f t o f t h e 1 3 t h c h a r a c t e r f r o m t h e r i g h t e n d ?
O p t i o n s :
A . 4 F # G U 2 M * Y P 9 S Q T 6 S B 5 D N H Z
B . G
C . A
D . U
E . #
A n s w e r : D . U
S o l u t i o n : R e v e r s e t h e l a s t t e n c h a r a c t e r s : Z H N D 5 S 6 T Q S . F i n d t h e 1 3 t h c h a r a c t e r f r o m
t h e r i g h t ( i n c l u d i n g t h e r e v e r s e d s e g m e n t ) : Q . T h e n f i n d t h e 6 t h c h a r a c t e r t o t h e l e f t o f Q : U .
3 . I f ' P ' s t a n d s f o r ' d i v i s i o n ' , ' Q ' s t a n d s f o r ' m u l t i p l i c a t i o n ' a n d ' R ' s t a n d s f o r ' s u b t r a c t i o n ' ,
t h e n f i n d t h e v a l u e o f 1 2 6 R 1 1 Q 5 6 P 1 4 .
O p t i o n s :
A . 8 2
B . 1 3 8
C . 7 8
D . 5 2
A n s w e r : A . 8 2
S o l u t i o n : 1 2 6 - 1 1 * 5 6 ÷ 1 4 = 1 2 6 - 1 1 * 4 = 1 2 6 - 4 4 = 8 2 .
4 . 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 ?
O p t i o n s :
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
S o l u t i o 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 .
5 . I f t h e E n g l i s h a l p h a b e t s a r e w r i t t e n i n t h e r e v e r s e o r d e r , t h e n w h i c h w o u l d b e t h e 5 t h
l e t t e r t o t h e r i g h t o f t h e 1 8 t h l e t t e r f r o m t h e l e f t e n d ?
O p t i o n s :
A . G
B . H
C . I
D . D
A n s w e r : A . G
S o l u t i o n : T h e 1 8 t h l e t t e r f r o m t h e l e f t e n d i n t h e r e v e r s e o r d e r i s I ( s i n c e r e v e r s e a l p h a b e t
s t a r t i n g f r o m A ) . T h e 5 t h l e t t e r t o t h e r i g h t o f I i s G .
6 . S e l e c t t h e i n c o r r e c t n u m b e r i n t h e g i v e n n u m b e r p a t t e r n :
O p t i o n s :
A . 1 5 9 1 7 2 5 3 7 5 0 6 5
B . 9
C . 1 7
D . 5 0
E . 6 5
A n s w e r : D . 5 0
S o l u t i o n : T h e p a t t e r n i n c r e a s e s b y o d d n u m b e r s i n c r e m e n t a l l y ( 4 , 4 , 8 , 8 , 1 2 , 1 2 , 1 6 ) . 3 7 + 1 2 =
4 9 ( n o t 5 0 ) .
7 . H o w m a n y 2 ' s a r e t h e r e i n t h e g i v e n s e q u e n c e e a c h o f w h i c h i s i m m e d i a t e l y p r e c e d e d
b y a n o d d n u m b e r b u t n o t i m m e d i a t e l y f o l l o w e d b y 4 ?
O p t i o n s :
A . 4 5 2 9 7 6 2 1 5 2 8 9 3 4 5 7 9 2 4
B . N o n e
C . O n e
D . T w o
E . M o r e t h a n t w o
A n s w e r : D . T w o
S o l u t i o n : T h e p a i r s a r e 5 2 a n d 1 2 w h i c h f i t t h e c o n d i t i o n .
8 . I f ‘ – ’ s t a n d s f o r d i v i s i o n , ‘ + ’ s t a n d s f o r m u l t i p l i c a t i o n , ‘ ÷ ’ s t a n d s f o r s u b t r a c t i o n a n d ‘ × ’
s t a n d s f o r a d d i t i o n , t h e n f i n d t h e v a l u e o f 7 5 × 5 ÷ 8 0 – 1 6 + 3 .
O p t i o n s :
A . 6 0
B . 7 0
C . 8 0
D . 6 5
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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 E D U C A T I O N i s c o d e d a s V W F X Z G R L M , t h e n h o w w i l l
E L E P H A N T S b e c o d e d i n t h a t l a n g u a g e ?
O p t i o n s :
A . V O V K S Z M H G
B . V O V K S Z M G H
C . V O V K Z S M G H
D . V O K V Z S M G H
A n s w e r : A . V O V K S Z M H G
S o l u t i o n : F o l l o w i n g t h e p a t t e r n i n c o d i n g : E D U C A T I O N - > V W F X Z G R L M . A p p l y i n g t h e s a m e
p a t t e r n t o E L E P H A N T S : E - > V , L - > O , E - > V , P - > K , H - > S , A - > Z , N - > M , T - > H , S - > G .
R e s u l t : V O V K S Z M H G .
2 . I f t h e l a s t t e n c h a r a c t e r s o f t h e g i v e n s e r i e s a r e w r i t t e n i n r e v e r s e o r d e r , t h e n w h a t w i l l
b e t h e 6 t h c h a r a c t e r t o t h e l e f t o f t h e 1 3 t h c h a r a c t e r f r o m t h e r i g h t e n d ?
O p t i o n s :
A . 4 F # G U 2 M * Y P 9 S Q T 6 S B 5 D N H Z
B . G
C . A
D . U
E . #
A n s w e r : D . U
S o l u t i o n : R e v e r s e t h e l a s t t e n c h a r a c t e r s : Z H N D 5 S 6 T Q S . F i n d t h e 1 3 t h c h a r a c t e r f r o m
t h e r i g h t ( i n c l u d i n g t h e r e v e r s e d s e g m e n t ) : Q . T h e n f i n d t h e 6 t h c h a r a c t e r t o t h e l e f t o f Q : U .
3 . I f ' P ' s t a n d s f o r ' d i v i s i o n ' , ' Q ' s t a n d s f o r ' m u l t i p l i c a t i o n ' a n d ' R ' s t a n d s f o r ' s u b t r a c t i o n ' ,
t h e n f i n d t h e v a l u e o f 1 2 6 R 1 1 Q 5 6 P 1 4 .
O p t i o n s :
A . 8 2
B . 1 3 8
C . 7 8
D . 5 2
A n s w e r : A . 8 2
S o l u t i o n : 1 2 6 - 1 1 * 5 6 ÷ 1 4 = 1 2 6 - 1 1 * 4 = 1 2 6 - 4 4 = 8 2 .
4 . 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 ?
O p t i o n s :
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
S o l u t i o 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 .
5 . I f t h e E n g l i s h a l p h a b e t s a r e w r i t t e n i n t h e r e v e r s e o r d e r , t h e n w h i c h w o u l d b e t h e 5 t h
l e t t e r t o t h e r i g h t o f t h e 1 8 t h l e t t e r f r o m t h e l e f t e n d ?
O p t i o n s :
A . G
B . H
C . I
D . D
A n s w e r : A . G
S o l u t i o n : T h e 1 8 t h l e t t e r f r o m t h e l e f t e n d i n t h e r e v e r s e o r d e r i s I ( s i n c e r e v e r s e a l p h a b e t
s t a r t i n g f r o m A ) . T h e 5 t h l e t t e r t o t h e r i g h t o f I i s G .
6 . S e l e c t t h e i n c o r r e c t n u m b e r i n t h e g i v e n n u m b e r p a t t e r n :
O p t i o n s :
A . 1 5 9 1 7 2 5 3 7 5 0 6 5
B . 9
C . 1 7
D . 5 0
E . 6 5
A n s w e r : D . 5 0
S o l u t i o n : T h e p a t t e r n i n c r e a s e s b y o d d n u m b e r s i n c r e m e n t a l l y ( 4 , 4 , 8 , 8 , 1 2 , 1 2 , 1 6 ) . 3 7 + 1 2 =
4 9 ( n o t 5 0 ) .
7 . H o w m a n y 2 ' s a r e t h e r e i n t h e g i v e n s e q u e n c e e a c h o f w h i c h i s i m m e d i a t e l y p r e c e d e d
b y a n o d d n u m b e r b u t n o t i m m e d i a t e l y f o l l o w e d b y 4 ?
O p t i o n s :
A . 4 5 2 9 7 6 2 1 5 2 8 9 3 4 5 7 9 2 4
B . N o n e
C . O n e
D . T w o
E . M o r e t h a n t w o
A n s w e r : D . T w o
S o l u t i o n : T h e p a i r s a r e 5 2 a n d 1 2 w h i c h f i t t h e c o n d i t i o n .
8 . I f ‘ – ’ s t a n d s f o r d i v i s i o n , ‘ + ’ s t a n d s f o r m u l t i p l i c a t i o n , ‘ ÷ ’ s t a n d s f o r s u b t r a c t i o n a n d ‘ × ’
s t a n d s f o r a d d i t i o n , t h e n f i n d t h e v a l u e o f 7 5 × 5 ÷ 8 0 – 1 6 + 3 .
O p t i o n s :
A . 6 0
B . 7 0
C . 8 0
D . 6 5
A n s w e r : A . 6 0
S o l u t i o n : R e p l a c i n g t h e s i g n s : 7 5 + 5 – 8 0 ÷ 1 6 × 3 = 7 5 + 5 - 5 × 3 = 7 5 + 5 - 1 5 = 6 5 .
9 . 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 t h e t e r m s o n e i t h e r s i d e o f : : . I d e n t i f y t h e
r e l a t i o n s h i p o n t h e l e f t p a i r a n d f i n d t h e m i s s i n g t e r m . B H N : E K Q : : D J P : ?
O p t i o n s :
A . E K Q
B . G M S
C . H L R
D . J P V
A n s w e r : B . G M S
S o l u t i o n : T h e p a t t e r n i s t h a t e a c h l e t t e r s h i f t s b y 3 p o s i t i o n s i n t h e a l p h a b e t .
1 0 . I n e a c h o f t h e f o l l o w i n g q u e s t i o n s , a n u m b e r s e r i e s i s g i v e n w i t h o n e m i s s i n g t e r m .
C h o o s e c o r r e c t a l t e r n a t i v e t h a t w i l l c o n t i n u e t h e s a m e p a t t e r n a n d f i l l i n t h e b l a n k
s p a c e s . 1 0 0 0 , 2 0 0 , 4 0 , _ _ _ _ _ _
O p t i o n s :
A . 8
B . 1 0
C . 1 5
D . 2 0
A n s w e r : C . 1 5
1 1 . I n e a c h o f t h e f o l l o w i n g l e t t e r s e r i e s , s o m e o f t h e l e t t e r s a r e m i s s i n g , w h i c h a r e g i v e n
i n s u c h o r d e r a s o n e o f t h e a l t e r n a t i v e s b e l o w i t . C h o o s e t h e c o r r e c t a l t e r n a t i v e . _ _ o p
m o . n p n m o p
O p t i o n s :
A . m n p m o n
B . m p n m o p
C . m n o m p n
D . m n p o m n
A n s w e r : A . m n p m o n
1 2 . I n e a c h o f t h e f o l l o w i n g q u e s t i o n s , a n a l p h a b e t s e r i e s i s g i v e n w i t h o n e m i s s i n g t e r m .
C h o o s e c o r r e c t a l t e r n a t i v e t h a t w i l l c o n t i n u e t h e s a m e p a t t e r n a n d f i l l i n t h e b l a n k
s p a c e s . Q A R , R A S , S A T , T A U , _ _ _ _ _ _ _ _ _
O p t i o n s :
A . U A V
B . U A T
C . T A S
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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 E D U C A T I O N i s c o d e d a s V W F X Z G R L M , t h e n h o w w i l l
E L E P H A N T S b e c o d e d i n t h a t l a n g u a g e ?
O p t i o n s :
A . V O V K S Z M H G
B . V O V K S Z M G H
C . V O V K Z S M G H
D . V O K V Z S M G H
A n s w e r : A . V O V K S Z M H G
S o l u t i o n : F o l l o w i n g t h e p a t t e r n i n c o d i n g : E D U C A T I O N - > V W F X Z G R L M . A p p l y i n g t h e s a m e
p a t t e r n t o E L E P H A N T S : E - > V , L - > O , E - > V , P - > K , H - > S , A - > Z , N - > M , T - > H , S - > G .
R e s u l t : V O V K S Z M H G .
2 . I f t h e l a s t t e n c h a r a c t e r s o f t h e g i v e n s e r i e s a r e w r i t t e n i n r e v e r s e o r d e r , t h e n w h a t w i l l
b e t h e 6 t h c h a r a c t e r t o t h e l e f t o f t h e 1 3 t h c h a r a c t e r f r o m t h e r i g h t e n d ?
O p t i o n s :
A . 4 F # G U 2 M * Y P 9 S Q T 6 S B 5 D N H Z
B . G
C . A
D . U
E . #
A n s w e r : D . U
S o l u t i o n : R e v e r s e t h e l a s t t e n c h a r a c t e r s : Z H N D 5 S 6 T Q S . F i n d t h e 1 3 t h c h a r a c t e r f r o m
t h e r i g h t ( i n c l u d i n g t h e r e v e r s e d s e g m e n t ) : Q . T h e n f i n d t h e 6 t h c h a r a c t e r t o t h e l e f t o f Q : U .
3 . I f ' P ' s t a n d s f o r ' d i v i s i o n ' , ' Q ' s t a n d s f o r ' m u l t i p l i c a t i o n ' a n d ' R ' s t a n d s f o r ' s u b t r a c t i o n ' ,
t h e n f i n d t h e v a l u e o f 1 2 6 R 1 1 Q 5 6 P 1 4 .
O p t i o n s :
A . 8 2
B . 1 3 8
C . 7 8
D . 5 2
A n s w e r : A . 8 2
S o l u t i o n : 1 2 6 - 1 1 * 5 6 ÷ 1 4 = 1 2 6 - 1 1 * 4 = 1 2 6 - 4 4 = 8 2 .
4 . 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 ?
O p t i o n s :
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
S o l u t i o 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 .
5 . I f t h e E n g l i s h a l p h a b e t s a r e w r i t t e n i n t h e r e v e r s e o r d e r , t h e n w h i c h w o u l d b e t h e 5 t h
l e t t e r t o t h e r i g h t o f t h e 1 8 t h l e t t e r f r o m t h e l e f t e n d ?
O p t i o n s :
A . G
B . H
C . I
D . D
A n s w e r : A . G
S o l u t i o n : T h e 1 8 t h l e t t e r f r o m t h e l e f t e n d i n t h e r e v e r s e o r d e r i s I ( s i n c e r e v e r s e a l p h a b e t
s t a r t i n g f r o m A ) . T h e 5 t h l e t t e r t o t h e r i g h t o f I i s G .
6 . S e l e c t t h e i n c o r r e c t n u m b e r i n t h e g i v e n n u m b e r p a t t e r n :
O p t i o n s :
A . 1 5 9 1 7 2 5 3 7 5 0 6 5
B . 9
C . 1 7
D . 5 0
E . 6 5
A n s w e r : D . 5 0
S o l u t i o n : T h e p a t t e r n i n c r e a s e s b y o d d n u m b e r s i n c r e m e n t a l l y ( 4 , 4 , 8 , 8 , 1 2 , 1 2 , 1 6 ) . 3 7 + 1 2 =
4 9 ( n o t 5 0 ) .
7 . H o w m a n y 2 ' s a r e t h e r e i n t h e g i v e n s e q u e n c e e a c h o f w h i c h i s i m m e d i a t e l y p r e c e d e d
b y a n o d d n u m b e r b u t n o t i m m e d i a t e l y f o l l o w e d b y 4 ?
O p t i o n s :
A . 4 5 2 9 7 6 2 1 5 2 8 9 3 4 5 7 9 2 4
B . N o n e
C . O n e
D . T w o
E . M o r e t h a n t w o
A n s w e r : D . T w o
S o l u t i o n : T h e p a i r s a r e 5 2 a n d 1 2 w h i c h f i t t h e c o n d i t i o n .
8 . I f ‘ – ’ s t a n d s f o r d i v i s i o n , ‘ + ’ s t a n d s f o r m u l t i p l i c a t i o n , ‘ ÷ ’ s t a n d s f o r s u b t r a c t i o n a n d ‘ × ’
s t a n d s f o r a d d i t i o n , t h e n f i n d t h e v a l u e o f 7 5 × 5 ÷ 8 0 – 1 6 + 3 .
O p t i o n s :
A . 6 0
B . 7 0
C . 8 0
D . 6 5
A n s w e r : A . 6 0
S o l u t i o n : R e p l a c i n g t h e s i g n s : 7 5 + 5 – 8 0 ÷ 1 6 × 3 = 7 5 + 5 - 5 × 3 = 7 5 + 5 - 1 5 = 6 5 .
9 . 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 t h e t e r m s o n e i t h e r s i d e o f : : . I d e n t i f y t h e
r e l a t i o n s h i p o n t h e l e f t p a i r a n d f i n d t h e m i s s i n g t e r m . B H N : E K Q : : D J P : ?
O p t i o n s :
A . E K Q
B . G M S
C . H L R
D . J P V
A n s w e r : B . G M S
S o l u t i o n : T h e p a t t e r n i s t h a t e a c h l e t t e r s h i f t s b y 3 p o s i t i o n s i n t h e a l p h a b e t .
1 0 . I n e a c h o f t h e f o l l o w i n g q u e s t i o n s , a n u m b e r s e r i e s i s g i v e n w i t h o n e m i s s i n g t e r m .
C h o o s e c o r r e c t a l t e r n a t i v e t h a t w i l l c o n t i n u e t h e s a m e p a t t e r n a n d f i l l i n t h e b l a n k
s p a c e s . 1 0 0 0 , 2 0 0 , 4 0 , _ _ _ _ _ _
O p t i o n s :
A . 8
B . 1 0
C . 1 5
D . 2 0
A n s w e r : C . 1 5
1 1 . I n e a c h o f t h e f o l l o w i n g l e t t e r s e r i e s , s o m e o f t h e l e t t e r s a r e m i s s i n g , w h i c h a r e g i v e n
i n s u c h o r d e r a s o n e o f t h e a l t e r n a t i v e s b e l o w i t . C h o o s e t h e c o r r e c t a l t e r n a t i v e . _ _ o p
m o . n p n m o p
O p t i o n s :
A . m n p m o n
B . m p n m o p
C . m n o m p n
D . m n p o m n
A n s w e r : A . m n p m o n
1 2 . I n e a c h o f t h e f o l l o w i n g q u e s t i o n s , a n a l p h a b e t s e r i e s i s g i v e n w i t h o n e m i s s i n g t e r m .
C h o o s e c o r r e c t a l t e r n a t i v e t h a t w i l l c o n t i n u e t h e s a m e p a t t e r n a n d f i l l i n t h e b l a n k
s p a c e s . Q A R , R A S , S A T , T A U , _ _ _ _ _ _ _ _ _
O p t i o n s :
A . U A V
B . U A T
C . T A S
D . T A T
A n s w e r : A . U A V
1 3 . G r o u p t h e g i v e n f i g u r e s i n t o t h r e e c l a s s e s o n t h e b a s i s o f t h e i r i d e n t i c a l p r o p e r t i e s
u s i n g e a c h f i g u r e o n l y o n c e .
O p t i o n s :
A . 1 , 2 , 3 ; 4 , 6 , 9 ; 5 , 7 , 8
B . 1 , 5 , 6 ; 2 , 3 , 4 ; 7 , 8 , 9
C . 1 , 5 , 9 ; 2 , 4 , 8 ; 3 , 6 , 7
D . 1 , 2 , 4 ; 5 , 6 , 8 ; 3 , 7 , 9
A n s w e r : C . 1 , 5 , 9 ; 2 , 4 , 8 ; 3 , 6 , 7
S o l u t i o n : 1 , 5 , 9 ; c o n t a i n s a t r i a n g l e a n d a c i r c l e i n s i d e i t . 2 , 4 , 8 ; e a c h f i g u r e i s d i v i d e d i n t o 6
e q u a l p a r t s . 3 , 6 , 7 ; c o n t a i n s t w o s i m i l a r f i g u r e s o n e i n s i d e t h e o t h e r , a l s o t h e i n n e r f i g u r e i s
s h a d e d .
1 4 . P o i n t i n g t o w a r d s S h i k h a , V a n s h s a i d , “ S h e i s t h e d a u g h t e r o f t h e o n l y c h i l d o f m y
g r a n d f a t h e r . ” H o w i s S h i k h a r e l a t e d t o V a n s h ?
O p t i o n s :
A . D a u g h t e r
B . M o t h e r
C . S i s t e r
D . A u n t
A n s w e r : C . S i s t e r
1 5 . W h i c h n u m b e r w o u l d r e p l a c e t h e u n d e r l i n e m a r k i n t h e s e r i e s 2 0 , 4 0 , 1 0 0 , _ , 8 2 0 ?
O p t i o n s :
A . 2 4 0
B . 2 6 0
C . 2 8 0
D . 3 0 0
A n s w e r : C . 2 8 0
E x p l a n a t i o n : I n t h i s s e r i e s , t h e d i f f e r e n c e b e t w e e n c o n s e c u t i v e n u m b e r s i s m u l t i p l i e d b y 3 ; 2 0 ,
6 0 , 1 8 0 , 5 4 0 . T h e r e f o r e , t h e m i s s i n g n u m b e r w o u l d b e 1 0 0 + 1 8 0 = 2 8 0 .
Mathematical Reasoning
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 E D U C A T I O N i s c o d e d a s V W F X Z G R L M , t h e n h o w w i l l
E L E P H A N T S b e c o d e d i n t h a t l a n g u a g e ?
O p t i o n s :
A . V O V K S Z M H G
B . V O V K S Z M G H
C . V O V K Z S M G H
D . V O K V Z S M G H
A n s w e r : A . V O V K S Z M H G
S o l u t i o n : F o l l o w i n g t h e p a t t e r n i n c o d i n g : E D U C A T I O N - > V W F X Z G R L M . A p p l y i n g t h e s a m e
p a t t e r n t o E L E P H A N T S : E - > V , L - > O , E - > V , P - > K , H - > S , A - > Z , N - > M , T - > H , S - > G .
R e s u l t : V O V K S Z M H G .
2 . I f t h e l a s t t e n c h a r a c t e r s o f t h e g i v e n s e r i e s a r e w r i t t e n i n r e v e r s e o r d e r , t h e n w h a t w i l l
b e t h e 6 t h c h a r a c t e r t o t h e l e f t o f t h e 1 3 t h c h a r a c t e r f r o m t h e r i g h t e n d ?
O p t i o n s :
A . 4 F # G U 2 M * Y P 9 S Q T 6 S B 5 D N H Z
B . G
C . A
D . U
E . #
A n s w e r : D . U
S o l u t i o n : R e v e r s e t h e l a s t t e n c h a r a c t e r s : Z H N D 5 S 6 T Q S . F i n d t h e 1 3 t h c h a r a c t e r f r o m
t h e r i g h t ( i n c l u d i n g t h e r e v e r s e d s e g m e n t ) : Q . T h e n f i n d t h e 6 t h c h a r a c t e r t o t h e l e f t o f Q : U .
3 . I f ' P ' s t a n d s f o r ' d i v i s i o n ' , ' Q ' s t a n d s f o r ' m u l t i p l i c a t i o n ' a n d ' R ' s t a n d s f o r ' s u b t r a c t i o n ' ,
t h e n f i n d t h e v a l u e o f 1 2 6 R 1 1 Q 5 6 P 1 4 .
O p t i o n s :
A . 8 2
B . 1 3 8
C . 7 8
D . 5 2
A n s w e r : A . 8 2
S o l u t i o n : 1 2 6 - 1 1 * 5 6 ÷ 1 4 = 1 2 6 - 1 1 * 4 = 1 2 6 - 4 4 = 8 2 .
4 . 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 ?
O p t i o n s :
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
S o l u t i o 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 .
5 . I f t h e E n g l i s h a l p h a b e t s a r e w r i t t e n i n t h e r e v e r s e o r d e r , t h e n w h i c h w o u l d b e t h e 5 t h
l e t t e r t o t h e r i g h t o f t h e 1 8 t h l e t t e r f r o m t h e l e f t e n d ?
O p t i o n s :
A . G
B . H
C . I
D . D
A n s w e r : A . G
S o l u t i o n : T h e 1 8 t h l e t t e r f r o m t h e l e f t e n d i n t h e r e v e r s e o r d e r i s I ( s i n c e r e v e r s e a l p h a b e t
s t a r t i n g f r o m A ) . T h e 5 t h l e t t e r t o t h e r i g h t o f I i s G .
6 . S e l e c t t h e i n c o r r e c t n u m b e r i n t h e g i v e n n u m b e r p a t t e r n :
O p t i o n s :
A . 1 5 9 1 7 2 5 3 7 5 0 6 5
B . 9
C . 1 7
D . 5 0
E . 6 5
A n s w e r : D . 5 0
S o l u t i o n : T h e p a t t e r n i n c r e a s e s b y o d d n u m b e r s i n c r e m e n t a l l y ( 4 , 4 , 8 , 8 , 1 2 , 1 2 , 1 6 ) . 3 7 + 1 2 =
4 9 ( n o t 5 0 ) .
7 . H o w m a n y 2 ' s a r e t h e r e i n t h e g i v e n s e q u e n c e e a c h o f w h i c h i s i m m e d i a t e l y p r e c e d e d
b y a n o d d n u m b e r b u t n o t i m m e d i a t e l y f o l l o w e d b y 4 ?
O p t i o n s :
A . 4 5 2 9 7 6 2 1 5 2 8 9 3 4 5 7 9 2 4
B . N o n e
C . O n e
D . T w o
E . M o r e t h a n t w o
A n s w e r : D . T w o
S o l u t i o n : T h e p a i r s a r e 5 2 a n d 1 2 w h i c h f i t t h e c o n d i t i o n .
8 . I f ‘ – ’ s t a n d s f o r d i v i s i o n , ‘ + ’ s t a n d s f o r m u l t i p l i c a t i o n , ‘ ÷ ’ s t a n d s f o r s u b t r a c t i o n a n d ‘ × ’
s t a n d s f o r a d d i t i o n , t h e n f i n d t h e v a l u e o f 7 5 × 5 ÷ 8 0 – 1 6 + 3 .
O p t i o n s :
A . 6 0
B . 7 0
C . 8 0
D . 6 5
A n s w e r : A . 6 0
S o l u t i o n : R e p l a c i n g t h e s i g n s : 7 5 + 5 – 8 0 ÷ 1 6 × 3 = 7 5 + 5 - 5 × 3 = 7 5 + 5 - 1 5 = 6 5 .
9 . 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 t h e t e r m s o n e i t h e r s i d e o f : : . I d e n t i f y t h e
r e l a t i o n s h i p o n t h e l e f t p a i r a n d f i n d t h e m i s s i n g t e r m . B H N : E K Q : : D J P : ?
O p t i o n s :
A . E K Q
B . G M S
C . H L R
D . J P V
A n s w e r : B . G M S
S o l u t i o n : T h e p a t t e r n i s t h a t e a c h l e t t e r s h i f t s b y 3 p o s i t i o n s i n t h e a l p h a b e t .
1 0 . I n e a c h o f t h e f o l l o w i n g q u e s t i o n s , a n u m b e r s e r i e s i s g i v e n w i t h o n e m i s s i n g t e r m .
C h o o s e c o r r e c t a l t e r n a t i v e t h a t w i l l c o n t i n u e t h e s a m e p a t t e r n a n d f i l l i n t h e b l a n k
s p a c e s . 1 0 0 0 , 2 0 0 , 4 0 , _ _ _ _ _ _
O p t i o n s :
A . 8
B . 1 0
C . 1 5
D . 2 0
A n s w e r : C . 1 5
1 1 . I n e a c h o f t h e f o l l o w i n g l e t t e r s e r i e s , s o m e o f t h e l e t t e r s a r e m i s s i n g , w h i c h a r e g i v e n
i n s u c h o r d e r a s o n e o f t h e a l t e r n a t i v e s b e l o w i t . C h o o s e t h e c o r r e c t a l t e r n a t i v e . _ _ o p
m o . n p n m o p
O p t i o n s :
A . m n p m o n
B . m p n m o p
C . m n o m p n
D . m n p o m n
A n s w e r : A . m n p m o n
1 2 . I n e a c h o f t h e f o l l o w i n g q u e s t i o n s , a n a l p h a b e t s e r i e s i s g i v e n w i t h o n e m i s s i n g t e r m .
C h o o s e c o r r e c t a l t e r n a t i v e t h a t w i l l c o n t i n u e t h e s a m e p a t t e r n a n d f i l l i n t h e b l a n k
s p a c e s . Q A R , R A S , S A T , T A U , _ _ _ _ _ _ _ _ _
O p t i o n s :
A . U A V
B . U A T
C . T A S
D . T A T
A n s w e r : A . U A V
1 3 . G r o u p t h e g i v e n f i g u r e s i n t o t h r e e c l a s s e s o n t h e b a s i s o f t h e i r i d e n t i c a l p r o p e r t i e s
u s i n g e a c h f i g u r e o n l y o n c e .
O p t i o n s :
A . 1 , 2 , 3 ; 4 , 6 , 9 ; 5 , 7 , 8
B . 1 , 5 , 6 ; 2 , 3 , 4 ; 7 , 8 , 9
C . 1 , 5 , 9 ; 2 , 4 , 8 ; 3 , 6 , 7
D . 1 , 2 , 4 ; 5 , 6 , 8 ; 3 , 7 , 9
A n s w e r : C . 1 , 5 , 9 ; 2 , 4 , 8 ; 3 , 6 , 7
S o l u t i o n : 1 , 5 , 9 ; c o n t a i n s a t r i a n g l e a n d a c i r c l e i n s i d e i t . 2 , 4 , 8 ; e a c h f i g u r e i s d i v i d e d i n t o 6
e q u a l p a r t s . 3 , 6 , 7 ; c o n t a i n s t w o s i m i l a r f i g u r e s o n e i n s i d e t h e o t h e r , a l s o t h e i n n e r f i g u r e i s
s h a d e d .
1 4 . P o i n t i n g t o w a r d s S h i k h a , V a n s h s a i d , “ S h e i s t h e d a u g h t e r o f t h e o n l y c h i l d o f m y
g r a n d f a t h e r . ” H o w i s S h i k h a r e l a t e d t o V a n s h ?
O p t i o n s :
A . D a u g h t e r
B . M o t h e r
C . S i s t e r
D . A u n t
A n s w e r : C . S i s t e r
1 5 . W h i c h n u m b e r w o u l d r e p l a c e t h e u n d e r l i n e m a r k i n t h e s e r i e s 2 0 , 4 0 , 1 0 0 , _ , 8 2 0 ?
O p t i o n s :
A . 2 4 0
B . 2 6 0
C . 2 8 0
D . 3 0 0
A n s w e r : C . 2 8 0
E x p l a n a t i o n : I n t h i s s e r i e s , t h e d i f f e r e n c e b e t w e e n c o n s e c u t i v e n u m b e r s i s m u l t i p l i e d b y 3 ; 2 0 ,
6 0 , 1 8 0 , 5 4 0 . T h e r e f o r e , t h e m i s s i n g n u m b e r w o u l d b e 1 0 0 + 1 8 0 = 2 8 0 .
Mathematical Reasoning
1 6 . W h a t i s t h e s m a l l e s t n u m b e r w h i c h w h e n d o u b l e d w i l l b e e x a c t l y d i v i s i b l e b y 1 8 , 2 4 ,
a n d 3 0 ?
O p t i o n s :
A . 3 6 0
B . 5 4 0
C . 7 2 0
D . 8 4 0
A n s w e r : C . 7 2 0
1 7 . W h i c h o f t h e f o l l o w i n g i s n o t a P y t h a g o r e a n t r i p l e t ?
O p t i o n s :
A . 8 , 1 5 , 1 7
B . 9 , 1 2 , 1 5
C . 1 1 , 6 0 , 6 1
D . 1 0 , 2 4 , 2 6
A n s w e r : D . 1 0 , 2 4 , 2 6
1 8 . F i n d t h e v a l u e s o f P a n d Q . ( i ) T h e s u m o f t w o i n t e g e r s i s 5 3 . I f o n e o f t h e m i s - 2 3 ,
t h e n t h e o t h e r i n t e g e r i s P . ( i i ) T h e p r o d u c t o f a n i n t e g e r a n d Q i s z e r o .
O p t i o n s :
A . 7 6 , 0
B . 8 0 , 1
C . 7 6 , 1
D . 7 6 , 2
A n s w e r : A . 7 6 , 0
1 9 . I f 1 2 , 4 8 , x a r e i n c o n t i n u e d p r o p o r t i o n , t h e n f i n d t h e v a l u e o f x .
O p t i o n s :
A . 1 8 0
B . 1 9 2
C . 1 9 6
D . 2 0 0
A n s w e r : B . 1 9 2
2 0 . I f x = 1 , y = 2 , a n d z = - 2 , t h e n t h e v a l u e o f t h e e x p r e s s i o n 2 x ² y + 3 y ² + 4 z ² + 3 x y z i s _ _ _ _
O p t i o n s :
A . 1 0
B . 1 4
C . 1 8
D . 2 2
A n s w e r : B . 1 4
2 1 . D i f f e r e n c e b e t w e e n t h e g r e a t e s t a n d s m a l l e s t 5 - d i g i t n u m b e r t h a t c a n b e f o r m e d u s i n g
t h e d i g i t s 3 , 5 , 7 , 2 , a n d 8 ( e a c h d i g i t u s e d e x a c t l y o n c e ) i s :
O p t i o n s :
```

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## FAQs on Mathematics Olympiad Previous Year Papers - 2 - Mathematics Olympiad Class 7

 1. What is the format of the Mathematics Olympiad exam for Class 7?
Ans. The Mathematics Olympiad exam for Class 7 typically consists of multiple choice questions, short answer questions, and problem-solving questions covering various mathematical concepts.
 2. How can a student prepare effectively for the Mathematics Olympiad exam for Class 7?
Ans. Students can prepare for the Mathematics Olympiad exam by practicing previous year papers, solving sample papers, understanding basic mathematical concepts, and seeking help from teachers or tutors if needed.
 3. Are calculators allowed in the Mathematics Olympiad exam for Class 7?
Ans. Generally, calculators are not allowed in the Mathematics Olympiad exam for Class 7 as the focus is on testing the students' problem-solving skills and mathematical knowledge without the use of external aids.
 4. What topics are usually covered in the Mathematics Olympiad exam for Class 7?
Ans. The Mathematics Olympiad exam for Class 7 may cover topics such as arithmetic, algebra, geometry, measurement, data handling, and logical reasoning.
 5. How can participating in the Mathematics Olympiad benefit a Class 7 student?
Ans. Participating in the Mathematics Olympiad can help a Class 7 student enhance their problem-solving skills, critical thinking abilities, and overall mathematical proficiency. It can also boost their confidence and interest in the subject.

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