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  • e P h o n e 6 6 1 2 7 2 9 3 9 3 H o m e B o o k P u z z l e s B r a i n L i n k s A b o u t U s H o m e A b o u t t h e B o o k P u z z l e s B r a i n F u n c t i o n s B i b L I N K o g r a p h y A b o u t U s L o y d s A r c h e r y P u z z l e G e n r e M a t h P u z z l e R a t i n g 5 M e d i u m S o u r c e S a m L o y d C y c l o p e d i a p 2 4 4 B r a i n F u n c t i o n s E x a c t C a l c u l a t i o n s A n a l y s i s H i n t n b s p n b s p S o l u t i o n H e r e s a n i n t e r e s t i n g p u z z l e f r o m S a m L o y d S h o o t a r r o w s u n t i l y o u s c o r e e x a

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  • a i n F u n c t i o n s M a t h C r e a t i v i t y H i n t n b s p n b s p S o l u t i o n S m i t h J o n e s a n d B r o w n w e r e g r e a t f r i e n d s A f t e r B r o w n s w i f e d i e d h i s n i e c e k e p t h o u s e f o r h i m S m i t h w a s a l s o a w i d o w e r a n d l i v e d w i t h h i s d a u g h t e r W h e n J o n e s g o t m a r r i e d h e a n d h i s w i f e s u g g e s t e d t h a t t h e y a l l l i v e t o g e t h e r E a c h o n e o f t h e p a r t y m a l e a n d f e m a l e w a s t o c o n t r i b u t e 2 5 0 0 o n t h e f i r s t o f t h e m o n t h f o r

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  • m a t h q u e s t i o n t h a t m i g h t a p p e a r o n a t e s t o f i n t e l l i g e n c e o r s c h o l a s t i c a p t i t u d e X a n d y a r e t w o i n t e g e r s s u c h t h a t x s u p 2 y 7 0 4 3 6 9 i n o t h e r w o r d s X s q u a r e d Y 7 0 4 3 6 9 W h i c h o f t h e f o l l o w i n g v a l u e s c o u l d b e v a l i d v a l u e s f o r y 2 1 6 4 4 7 5 7 1 8 8 2 A l l o f t h e a b o v e N o n e o f t h e a b o v e I t i s n t d i f f i c u l t t o s e e h o w t h i s q u e s t i o n c o u l d b e a n s w e r e d S u b t r a c t t h e s u g g e s t e d v a l u e f o r y f r o m 7 0 4 3 6 9 T h e n t a k e t h e s q u a r e r o o t o f t h e r e s u l t a n d s e e i f i t i s a n i n t e g e r B u t u n l e s s y o u h a v e a c a l c u l a t o r t h a t c a n t a k e s q u a r e r o o t s t h i s b e c o m e s a t i r e s o m e e x e r c i s e i n s t e a d o f a p u z z l e W e a r e l o o k i n g f o r a n e a s y w a y t o c h e c k e a c h p o s s i b l e a n

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  • W i l l i a m A r m s t r o n g B r a i n F u n c t i o n s C a l c u l a t i o n s L a t e r a l T h i n k i n g H i n t n b s p n b s p S o l u t i o n Y o u h a v e t w o p e r f e c t l y c y l i n d r i c a l c o n t a i n e r s e m p t y O n e h a s a 5 g a l l o n c a p a c i t y t o t h e b r i m T h e o t h e r h a s a 3 g a l l o n c a p a c i t y A h u g e c a s k o f w i n e w i t h a s p i g o t i s n e a r b y N o n e o f t h e c o n t a i n e r s h a v e a n y m a r k i n g s o n t h e m a n d y o u d o n t h a v e a n y t h i n g t o m a r k t h e m w i t h T h e s p i g o t d o e s n t h a v e a n y m e a s u r e m e n t d e v i c e f l o w r e g u l a t o r t o k n o w h o w m u c h i s c o m i n g o u t H e r e a r e t w o c h a l l e n g e s M e a s u r e e x a c t l y 4 g a l l o n s i n t o y o u r c o n t a i n e r s Y o u m a y p o u r w i n e b a c k i n t o t h e c a s k i f y o u n e e d t o S t a r t i n g w i t h e m p t y c o n t a i n e r s m e a s u r e

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  • e R a t i n g 6 M e d i u m t o H a r d S o u r c e W i l l i a m A r m s t r o n g B r a i n F u n c t i o n s E x a c t C a l c u l a t i o n s L o g i c H i n t n b s p n b s p S o l u t i o n 1 0 0 i s t h e s q u a r e o f t h e i n t e g e r 1 0 H e r e a r e f o u r i n c r e a s i n g l y d i f f i c u l t q u e s t i o n s i n v o l v i n g s q u a r e s a d d i n g u p t o 1 0 0 E x p r e s s 1 0 0 a s t h e s u m o f t h e s q u a r e s o f t w o d i f f e r e n t i n t e g e r s N o w e x p r e s s 1 0 0 a s t h e s u m o f t h e s q u a r e s o f f i v e d i f f e r e n t i n t e

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  • n g 6 M e d i u m t o H a r d S o u r c e W i l l i a m A r m s t r o n g B r a i n F u n c t i o n s A n a l y s i s E x a c t C a l c u l a t i o n s H i n t n b s p n b s p S o l u t i o n P l a c e o n e n u m b e r i n e a c h o f t h e f o u r b l a n k s b e l o w s u c h t h a t t h e s u m o f a n y t w o o f t h e n u m b e r s i s a p e r f e c t s q u a r e a n d t h e s u m o f a l l f o u r n u m b e r s i s a l s o a p e r f e c t s q u a r e H e n r y D u d e n e y p r o p o s e d t h i s p u z z l e t o h i s r e a d e r s o v e r a h u n d r e d y e a r s a g o a n d p r e s

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  • a t i n g 6 M e d i u m t o H a r d S o u r c e D u d e n e y C a n t e r b u r y P u z z l e s 7 6 B r a i n F u n c t i o n s A n a l y s i s E x a c t C a l c u l a t i o n s H i n t n b s p n b s p S o l u t i o n S u p p o s e y o u h a v e 1 4 f u l l b o t t l e s o f w i n e a n d 1 0 e m p t y b o t t l e s t o b e d i s t r i b u t e d e v e n l y a m o n g t h r e e p e o p l e S e v e n o f t h e f u l l b o t t l e s a r e s t a n d a r d s i z e l e t s s a y 1 l i t e r a n d t h e o t h e r s e v e n f u l l b o t t l e s a r e d o u b l e s i z e 2 l i t e r s H a l f o f t h

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  • S a m L o y d C y c l o p e d i a p 1 4 8 B r a i n F u n c t i o n s E x a c t C a l c u l a t i o n s A n a l y s i s H i n t n b s p n b s p S o l u t i o n S u p p o s e t h a t t h e v a l u e o f a g e m i n c r e a s e s g e o m e t r i c a l l y w i t h t h e k a r a t s i z e A 1 k a r a t g e m i s w o r t h 1 0 0 0 a 2 k a r a t g e m i s w o r t h 4 0 0 0 a 3 k a r a t g e m i s w o r t h 9 0 0 0 A n d s o o n A m a n t r a d e s t w o g e m s o f t h e s a m e s i z e f o r t w o g e m s o f d i f f e r e n t s i z e s n o f r a c t i o n a l k a r a t s W h a t a r e t h e s m a

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