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Page 1 Q u a n t i t a t i v e T e c h n i q u e s a n d D a t a I n t e r p r e t a t i o n I n s t r u c t i o n s [ 1 - 3 ] C o m p r e h e n s i o n : S t u d y t h e b a r - g r a p h g i v e n b e l o w c a r e f u l l y a n d a n s w e r t h e q u e s t i o n s . B a r - g r a p h g i v e n b e l o w s h o w s t h e n u m b e r o f p a c k e t s o f b r e a d s o l d b y v e s t o r e s o f t w o t y p e s i . e . m u l t i g r a i n a n d w h o l e w h e a t . 1 . I f a n o t h e r s t o r e ' F ' s o l d n u m b e r o f m u l t i g r a i n p a c k e t s w h i c h i s a v e r a g e n u m b e r o f m u l t i g r a i n p a c k e t s s o l d b y s t o r e s ' C ' , ' D ' a n d ' E ' a n d a v e r a g e n u m b e r o f w h o l e - w h e a t p a c k e t s s o l d b y s t o r e s ' A ' a n d ' E ' . I f s t o r e ' B ' s o l d e a c h p a c k e t a t ? 2 4 0 a n d s t o r e ' F ' s o l d e a c h p a c k e t a t 2 0 % m o r e t h a n t h a t o f ' B ' , t h e n t o t a l r e v e n u e c o l l e c t e d b y s t o r e ' F ' i s . A ? 2 4 2 4 6 B ? 3 6 8 6 4 C ? 2 8 2 4 6 D ? 3 2 6 8 4 2 . T h e t o t a l n u m b e r o f p a c k e t s s o l d b y s t o r e ' C ' i s a p p r o x i m a t e l y w h a t p e r c e n t m o r e o r l e s s t h a n t h e t o t a l n u m b e r o f p a c k e t s s o l d b y s t o r e ' E ' ? A 3 % m o r e B 3 % l e s s C 5 % m o r e D 5 % l e s s 3 . M u l t i g r a i n p a c k e t s s o l d b y s t o r e s ' A ' a n d ' B ' t o g e t h e r a r e w h a t p e r c e n t m o r e o r l e s s t h a n w h o l e - w h e a t p a c k e t s s o l d b y s t o r e s ' C ' a n d ' D ' t o g e t h e r ? A 2 5 % m o r e Page 2 Q u a n t i t a t i v e T e c h n i q u e s a n d D a t a I n t e r p r e t a t i o n I n s t r u c t i o n s [ 1 - 3 ] C o m p r e h e n s i o n : S t u d y t h e b a r - g r a p h g i v e n b e l o w c a r e f u l l y a n d a n s w e r t h e q u e s t i o n s . B a r - g r a p h g i v e n b e l o w s h o w s t h e n u m b e r o f p a c k e t s o f b r e a d s o l d b y v e s t o r e s o f t w o t y p e s i . e . m u l t i g r a i n a n d w h o l e w h e a t . 1 . I f a n o t h e r s t o r e ' F ' s o l d n u m b e r o f m u l t i g r a i n p a c k e t s w h i c h i s a v e r a g e n u m b e r o f m u l t i g r a i n p a c k e t s s o l d b y s t o r e s ' C ' , ' D ' a n d ' E ' a n d a v e r a g e n u m b e r o f w h o l e - w h e a t p a c k e t s s o l d b y s t o r e s ' A ' a n d ' E ' . I f s t o r e ' B ' s o l d e a c h p a c k e t a t ? 2 4 0 a n d s t o r e ' F ' s o l d e a c h p a c k e t a t 2 0 % m o r e t h a n t h a t o f ' B ' , t h e n t o t a l r e v e n u e c o l l e c t e d b y s t o r e ' F ' i s . A ? 2 4 2 4 6 B ? 3 6 8 6 4 C ? 2 8 2 4 6 D ? 3 2 6 8 4 2 . T h e t o t a l n u m b e r o f p a c k e t s s o l d b y s t o r e ' C ' i s a p p r o x i m a t e l y w h a t p e r c e n t m o r e o r l e s s t h a n t h e t o t a l n u m b e r o f p a c k e t s s o l d b y s t o r e ' E ' ? A 3 % m o r e B 3 % l e s s C 5 % m o r e D 5 % l e s s 3 . M u l t i g r a i n p a c k e t s s o l d b y s t o r e s ' A ' a n d ' B ' t o g e t h e r a r e w h a t p e r c e n t m o r e o r l e s s t h a n w h o l e - w h e a t p a c k e t s s o l d b y s t o r e s ' C ' a n d ' D ' t o g e t h e r ? A 2 5 % m o r e B 2 5 % l e s s C 3 0 % l e s s D 3 0 % m o r e 4 . T h e p r o b a b i l i t y t h a t t h e b i r t h d a y s o f 4 d i f f e r e n t p e r s o n s w i l l f a l l i n e x a c t l y t w o c a l e n d a r m o n t h s i s : A B C D 5 . I n a , p o i n t X i s o n P Q a n d p o i n t Y i s o n P R s u c h t h a t X P = 1 . 5 u n i t s , X Q = 6 u n i t s , P Y = 2 u n i t s a n d Y R = 8 u n i t s . C o n s i d e r t h e f o l l o w i n g s t a t e m e n t s : S t a t e m e n t I : Q R = 5 X Y S t a t e m e n t I I : i s s i m i l a r t o I n t h e l i g h t o f t h e a b o v e s t a t e m e n t s , c h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w . A B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e t r u e B B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e f a l s e C S t a t e m e n t I i s t r u e b u t S t a t e m e n t I I i s f a l s e D S t a t e m e n t I i s f a l s e b u t S t a t e m e n t I I i s t r u e 6 . A c o n s i g n m e n t o f 1 5 w r i s t w a t c h e s c o n t a i n s 4 d e f e c t i v e s . T h e w r i s t w a t c h e s a r e s e l e c t e d a t r a n d o m , o n e b y o n e a n d e x a m i n e d . T h e o n e s e x a m i n e d a r e n o t r e p l a c e d b a c k . W h a t i s t h e p r o b a b i l i t y t h a t n i n t h o n e e x a m i n e d i s t h e l a s t d e f e c t i v e ? A B C D 7 . I n h o w m a n y w a y s c a n t h e f o l l o w i n g p r i z e s b e g i v e n a w a y t o a c l a s s o f 3 0 s t u d e n t s , r s t a n d s e c o n d i n M a t h e m a t i c s , r s t a n d s e c o n d i n P h y s i c s , r s t i n C h e m i s t r y a n d r s t i n E n g l i s h ? A B C 1728 77 87 17 144 11 144 3 ? P Q R ? P Y X ? P R Q 195 11 195 8 195 17 195 16 4! 30! (30) × 4 (29) 4 (30) - 3 1 Page 3 Q u a n t i t a t i v e T e c h n i q u e s a n d D a t a I n t e r p r e t a t i o n I n s t r u c t i o n s [ 1 - 3 ] C o m p r e h e n s i o n : S t u d y t h e b a r - g r a p h g i v e n b e l o w c a r e f u l l y a n d a n s w e r t h e q u e s t i o n s . B a r - g r a p h g i v e n b e l o w s h o w s t h e n u m b e r o f p a c k e t s o f b r e a d s o l d b y v e s t o r e s o f t w o t y p e s i . e . m u l t i g r a i n a n d w h o l e w h e a t . 1 . I f a n o t h e r s t o r e ' F ' s o l d n u m b e r o f m u l t i g r a i n p a c k e t s w h i c h i s a v e r a g e n u m b e r o f m u l t i g r a i n p a c k e t s s o l d b y s t o r e s ' C ' , ' D ' a n d ' E ' a n d a v e r a g e n u m b e r o f w h o l e - w h e a t p a c k e t s s o l d b y s t o r e s ' A ' a n d ' E ' . I f s t o r e ' B ' s o l d e a c h p a c k e t a t ? 2 4 0 a n d s t o r e ' F ' s o l d e a c h p a c k e t a t 2 0 % m o r e t h a n t h a t o f ' B ' , t h e n t o t a l r e v e n u e c o l l e c t e d b y s t o r e ' F ' i s . A ? 2 4 2 4 6 B ? 3 6 8 6 4 C ? 2 8 2 4 6 D ? 3 2 6 8 4 2 . T h e t o t a l n u m b e r o f p a c k e t s s o l d b y s t o r e ' C ' i s a p p r o x i m a t e l y w h a t p e r c e n t m o r e o r l e s s t h a n t h e t o t a l n u m b e r o f p a c k e t s s o l d b y s t o r e ' E ' ? A 3 % m o r e B 3 % l e s s C 5 % m o r e D 5 % l e s s 3 . M u l t i g r a i n p a c k e t s s o l d b y s t o r e s ' A ' a n d ' B ' t o g e t h e r a r e w h a t p e r c e n t m o r e o r l e s s t h a n w h o l e - w h e a t p a c k e t s s o l d b y s t o r e s ' C ' a n d ' D ' t o g e t h e r ? A 2 5 % m o r e B 2 5 % l e s s C 3 0 % l e s s D 3 0 % m o r e 4 . T h e p r o b a b i l i t y t h a t t h e b i r t h d a y s o f 4 d i f f e r e n t p e r s o n s w i l l f a l l i n e x a c t l y t w o c a l e n d a r m o n t h s i s : A B C D 5 . I n a , p o i n t X i s o n P Q a n d p o i n t Y i s o n P R s u c h t h a t X P = 1 . 5 u n i t s , X Q = 6 u n i t s , P Y = 2 u n i t s a n d Y R = 8 u n i t s . C o n s i d e r t h e f o l l o w i n g s t a t e m e n t s : S t a t e m e n t I : Q R = 5 X Y S t a t e m e n t I I : i s s i m i l a r t o I n t h e l i g h t o f t h e a b o v e s t a t e m e n t s , c h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w . A B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e t r u e B B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e f a l s e C S t a t e m e n t I i s t r u e b u t S t a t e m e n t I I i s f a l s e D S t a t e m e n t I i s f a l s e b u t S t a t e m e n t I I i s t r u e 6 . A c o n s i g n m e n t o f 1 5 w r i s t w a t c h e s c o n t a i n s 4 d e f e c t i v e s . T h e w r i s t w a t c h e s a r e s e l e c t e d a t r a n d o m , o n e b y o n e a n d e x a m i n e d . T h e o n e s e x a m i n e d a r e n o t r e p l a c e d b a c k . W h a t i s t h e p r o b a b i l i t y t h a t n i n t h o n e e x a m i n e d i s t h e l a s t d e f e c t i v e ? A B C D 7 . I n h o w m a n y w a y s c a n t h e f o l l o w i n g p r i z e s b e g i v e n a w a y t o a c l a s s o f 3 0 s t u d e n t s , r s t a n d s e c o n d i n M a t h e m a t i c s , r s t a n d s e c o n d i n P h y s i c s , r s t i n C h e m i s t r y a n d r s t i n E n g l i s h ? A B C 1728 77 87 17 144 11 144 3 ? P Q R ? P Y X ? P R Q 195 11 195 8 195 17 195 16 4! 30! (30) × 4 (29) 4 (30) - 3 1 D 8 . W h a t v a l u e c o m e s i n p l a c e o f q u e s t i o n m a r k ( ? ) i n t h e f o l l o w i n g s t a t e m e n t s a n d a r r a n g e t h e m i n d e s c e n d i n g o r d e r . C h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w : A D > C > A > B B C > A > B > D C D > C > B > A D C > D > B > A 9 . R a v i t o o k a l o a n f r o m H D B C B a n k f o r h i s 2 - y e a r M B A p r o g r a m a t I I M . H e t o o k t h e l o a n o f t 6 l a k h s u c h t h a t h e w o u l d b e c h a r g e d a t 8 % p e r a n n u m c o m p o u n d i n t e r e s t d u r i n g h i s p r o g r a m a n d a t 1 0 % p e r a n n u m c o m p o u n d i n t e r e s t a f t e r c o m p l e t i o n o f c o u r s e . H e r e t u r n e d h a l f o f t h e a m o u n t w h i c h h e h a d t o p a y o n t h e c o m p l e t i o n o f h i s p r o g r a m a n d r e m a i n i n g a f t e r 2 y e a r s . W h a t i s t h e t o t a l a m o u n t r e t u r n e d b y R a v i ? A ? 7 · 7 3 3 2 3 l a k h B ? 6 · 8 3 2 3 1 l a k h C ? 7 · 5 8 l a k h D ? 7 · 3 3 6 l a k h 1 0 . A m i t c a n d o 5 0 % m o r e w o r k t h a n B h u s h a n i n s a m e t i m e . B h u s h a n a l o n e c a n d o a p i e c e o f w o r k i n 3 0 h o u r s . B h u s h a n s t a r t s w o r k i n g a n d h a d a l r e a d y w o r k e d f o r 1 2 h o u r s w h e n A m i t j o i n s h i m . H o w m a n y h o u r s s h o u l d B h u s h a n a n d A m i t w o r k t o g e t h e r t o c o m p l e t e t h e r e m a i n i n g w o r k ? A 6 h o u r s B 1 2 h o u r s C 4 . 8 h o u r s D 7 . 2 h o u r s 1 1 . A c y l i n d r i c a l b o x o f r a d i u s 5 c m c o n t a i n s 1 0 s o l i d s p h e r i c a l b a l l s , e a c h o f r a d i u s 5 c m . I f t h e t o p m o s t b a l l t o u c h e s t h e u p p e r c o v e r o f t h e b o x , t h e n t h e v o l u m e o f e m p t y s p a c e i n t h e b o x i s : A (30) × 4 1(29) 2 A. × 9 5 (225.40 - 45.4) = (?) 2 B. × 1024 40 + (20) + 2 0.5% O f9600 + 469 = (?) 3 C.8 ÷ 12 16 o f32 × 2 3 = 256 (2) ? D.18 + 3 1 9 - 3 2 10 = 3 1 1 +? 3 2 p c m 3 2500 3 Page 4 Q u a n t i t a t i v e T e c h n i q u e s a n d D a t a I n t e r p r e t a t i o n I n s t r u c t i o n s [ 1 - 3 ] C o m p r e h e n s i o n : S t u d y t h e b a r - g r a p h g i v e n b e l o w c a r e f u l l y a n d a n s w e r t h e q u e s t i o n s . B a r - g r a p h g i v e n b e l o w s h o w s t h e n u m b e r o f p a c k e t s o f b r e a d s o l d b y v e s t o r e s o f t w o t y p e s i . e . m u l t i g r a i n a n d w h o l e w h e a t . 1 . I f a n o t h e r s t o r e ' F ' s o l d n u m b e r o f m u l t i g r a i n p a c k e t s w h i c h i s a v e r a g e n u m b e r o f m u l t i g r a i n p a c k e t s s o l d b y s t o r e s ' C ' , ' D ' a n d ' E ' a n d a v e r a g e n u m b e r o f w h o l e - w h e a t p a c k e t s s o l d b y s t o r e s ' A ' a n d ' E ' . I f s t o r e ' B ' s o l d e a c h p a c k e t a t ? 2 4 0 a n d s t o r e ' F ' s o l d e a c h p a c k e t a t 2 0 % m o r e t h a n t h a t o f ' B ' , t h e n t o t a l r e v e n u e c o l l e c t e d b y s t o r e ' F ' i s . A ? 2 4 2 4 6 B ? 3 6 8 6 4 C ? 2 8 2 4 6 D ? 3 2 6 8 4 2 . T h e t o t a l n u m b e r o f p a c k e t s s o l d b y s t o r e ' C ' i s a p p r o x i m a t e l y w h a t p e r c e n t m o r e o r l e s s t h a n t h e t o t a l n u m b e r o f p a c k e t s s o l d b y s t o r e ' E ' ? A 3 % m o r e B 3 % l e s s C 5 % m o r e D 5 % l e s s 3 . M u l t i g r a i n p a c k e t s s o l d b y s t o r e s ' A ' a n d ' B ' t o g e t h e r a r e w h a t p e r c e n t m o r e o r l e s s t h a n w h o l e - w h e a t p a c k e t s s o l d b y s t o r e s ' C ' a n d ' D ' t o g e t h e r ? A 2 5 % m o r e B 2 5 % l e s s C 3 0 % l e s s D 3 0 % m o r e 4 . T h e p r o b a b i l i t y t h a t t h e b i r t h d a y s o f 4 d i f f e r e n t p e r s o n s w i l l f a l l i n e x a c t l y t w o c a l e n d a r m o n t h s i s : A B C D 5 . I n a , p o i n t X i s o n P Q a n d p o i n t Y i s o n P R s u c h t h a t X P = 1 . 5 u n i t s , X Q = 6 u n i t s , P Y = 2 u n i t s a n d Y R = 8 u n i t s . C o n s i d e r t h e f o l l o w i n g s t a t e m e n t s : S t a t e m e n t I : Q R = 5 X Y S t a t e m e n t I I : i s s i m i l a r t o I n t h e l i g h t o f t h e a b o v e s t a t e m e n t s , c h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w . A B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e t r u e B B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e f a l s e C S t a t e m e n t I i s t r u e b u t S t a t e m e n t I I i s f a l s e D S t a t e m e n t I i s f a l s e b u t S t a t e m e n t I I i s t r u e 6 . A c o n s i g n m e n t o f 1 5 w r i s t w a t c h e s c o n t a i n s 4 d e f e c t i v e s . T h e w r i s t w a t c h e s a r e s e l e c t e d a t r a n d o m , o n e b y o n e a n d e x a m i n e d . T h e o n e s e x a m i n e d a r e n o t r e p l a c e d b a c k . W h a t i s t h e p r o b a b i l i t y t h a t n i n t h o n e e x a m i n e d i s t h e l a s t d e f e c t i v e ? A B C D 7 . I n h o w m a n y w a y s c a n t h e f o l l o w i n g p r i z e s b e g i v e n a w a y t o a c l a s s o f 3 0 s t u d e n t s , r s t a n d s e c o n d i n M a t h e m a t i c s , r s t a n d s e c o n d i n P h y s i c s , r s t i n C h e m i s t r y a n d r s t i n E n g l i s h ? A B C 1728 77 87 17 144 11 144 3 ? P Q R ? P Y X ? P R Q 195 11 195 8 195 17 195 16 4! 30! (30) × 4 (29) 4 (30) - 3 1 D 8 . W h a t v a l u e c o m e s i n p l a c e o f q u e s t i o n m a r k ( ? ) i n t h e f o l l o w i n g s t a t e m e n t s a n d a r r a n g e t h e m i n d e s c e n d i n g o r d e r . C h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w : A D > C > A > B B C > A > B > D C D > C > B > A D C > D > B > A 9 . R a v i t o o k a l o a n f r o m H D B C B a n k f o r h i s 2 - y e a r M B A p r o g r a m a t I I M . H e t o o k t h e l o a n o f t 6 l a k h s u c h t h a t h e w o u l d b e c h a r g e d a t 8 % p e r a n n u m c o m p o u n d i n t e r e s t d u r i n g h i s p r o g r a m a n d a t 1 0 % p e r a n n u m c o m p o u n d i n t e r e s t a f t e r c o m p l e t i o n o f c o u r s e . H e r e t u r n e d h a l f o f t h e a m o u n t w h i c h h e h a d t o p a y o n t h e c o m p l e t i o n o f h i s p r o g r a m a n d r e m a i n i n g a f t e r 2 y e a r s . W h a t i s t h e t o t a l a m o u n t r e t u r n e d b y R a v i ? A ? 7 · 7 3 3 2 3 l a k h B ? 6 · 8 3 2 3 1 l a k h C ? 7 · 5 8 l a k h D ? 7 · 3 3 6 l a k h 1 0 . A m i t c a n d o 5 0 % m o r e w o r k t h a n B h u s h a n i n s a m e t i m e . B h u s h a n a l o n e c a n d o a p i e c e o f w o r k i n 3 0 h o u r s . B h u s h a n s t a r t s w o r k i n g a n d h a d a l r e a d y w o r k e d f o r 1 2 h o u r s w h e n A m i t j o i n s h i m . H o w m a n y h o u r s s h o u l d B h u s h a n a n d A m i t w o r k t o g e t h e r t o c o m p l e t e t h e r e m a i n i n g w o r k ? A 6 h o u r s B 1 2 h o u r s C 4 . 8 h o u r s D 7 . 2 h o u r s 1 1 . A c y l i n d r i c a l b o x o f r a d i u s 5 c m c o n t a i n s 1 0 s o l i d s p h e r i c a l b a l l s , e a c h o f r a d i u s 5 c m . I f t h e t o p m o s t b a l l t o u c h e s t h e u p p e r c o v e r o f t h e b o x , t h e n t h e v o l u m e o f e m p t y s p a c e i n t h e b o x i s : A (30) × 4 1(29) 2 A. × 9 5 (225.40 - 45.4) = (?) 2 B. × 1024 40 + (20) + 2 0.5% O f9600 + 469 = (?) 3 C.8 ÷ 12 16 o f32 × 2 3 = 256 (2) ? D.18 + 3 1 9 - 3 2 10 = 3 1 1 +? 3 2 p c m 3 2500 3 B C D 1 2 . G i v e n b e l o w a r e t w o s t a t e m e n t s : S t a t e m e n t I : T h e r a t i o o f t h e c i r c u m f e r e n c e o f t w o c i r c l e s i s 3 : 4 , t h e n t h e r a t i o o f t h e i r a r e a i s 9 : 1 6 . S t a t e m e n t I I : I f t h e c i r c u m f e r e n c e a n d t h e a r e a o f a c i r c l e a r e n u m e r i c a l e q u a l , t h e n t h e d i a m e t e r i s e q u a l t o 4 . I n t h e l i g h t o f t h e a b o v e s t a t e m e n t s , c h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w . A B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e t r u e B B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e f a l s e C S t a t e m e n t I i s t r u e b u t S t a t e m e n t I I i s f a l s e D S t a t e m e n t I i s f a l s e b u t S t a t e m e n t I I i s t r u e 1 3 . M a t c h L i s t I w i t h L i s t I I : C h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w : A A - I V , B - I I , C - I , D - I I I B A - I V , B - I I I , C - I , D - I I C A - I I , B - I I I , C - I , D - I V D A - I I , B - I I I , C - I V , D - I 1 4 . T h r e e v e s s e l s ' P ' , ' Q ' a n d ' R ' o f s a m e c a p a c i t y a r e a l l f u l l . V e s s e l s ' P ' a n d ' Q ' c o n t a i n m i x t u r e o f m i l k a n d w a t e r i n t h e r a t i o s 4 : 1 a n d 7 : 3 r e s p e c t i v e l y w h i l e v e s s e l ' R ' c o n t a i n s o n l y p u r e m i l k . T h e c o n t e n t s o f t h e s e v e s s e l s a r e p o u r e d i n t o a l a r g e r v e s s e l ' S ' . A f t e r d r a w i n g 3 0 l i t r e s o f m i x t u r e f r o m v e s s e l ' S ' , t h e n a l q u a n t i t y o f w a t e r l e f t i n v e s s e l ' S ' i s 4 0 l i t r e s , t h e n t h e c a p a c i t y o f e a c h v e s s e l i s : A 8 0 l i t r e s B 8 5 l i t r e s C 9 0 l i t r e s 5000 p c m 3 2500 p c m 3 p c m 3 5000 3 Page 5 Q u a n t i t a t i v e T e c h n i q u e s a n d D a t a I n t e r p r e t a t i o n I n s t r u c t i o n s [ 1 - 3 ] C o m p r e h e n s i o n : S t u d y t h e b a r - g r a p h g i v e n b e l o w c a r e f u l l y a n d a n s w e r t h e q u e s t i o n s . B a r - g r a p h g i v e n b e l o w s h o w s t h e n u m b e r o f p a c k e t s o f b r e a d s o l d b y v e s t o r e s o f t w o t y p e s i . e . m u l t i g r a i n a n d w h o l e w h e a t . 1 . I f a n o t h e r s t o r e ' F ' s o l d n u m b e r o f m u l t i g r a i n p a c k e t s w h i c h i s a v e r a g e n u m b e r o f m u l t i g r a i n p a c k e t s s o l d b y s t o r e s ' C ' , ' D ' a n d ' E ' a n d a v e r a g e n u m b e r o f w h o l e - w h e a t p a c k e t s s o l d b y s t o r e s ' A ' a n d ' E ' . I f s t o r e ' B ' s o l d e a c h p a c k e t a t ? 2 4 0 a n d s t o r e ' F ' s o l d e a c h p a c k e t a t 2 0 % m o r e t h a n t h a t o f ' B ' , t h e n t o t a l r e v e n u e c o l l e c t e d b y s t o r e ' F ' i s . A ? 2 4 2 4 6 B ? 3 6 8 6 4 C ? 2 8 2 4 6 D ? 3 2 6 8 4 2 . T h e t o t a l n u m b e r o f p a c k e t s s o l d b y s t o r e ' C ' i s a p p r o x i m a t e l y w h a t p e r c e n t m o r e o r l e s s t h a n t h e t o t a l n u m b e r o f p a c k e t s s o l d b y s t o r e ' E ' ? A 3 % m o r e B 3 % l e s s C 5 % m o r e D 5 % l e s s 3 . M u l t i g r a i n p a c k e t s s o l d b y s t o r e s ' A ' a n d ' B ' t o g e t h e r a r e w h a t p e r c e n t m o r e o r l e s s t h a n w h o l e - w h e a t p a c k e t s s o l d b y s t o r e s ' C ' a n d ' D ' t o g e t h e r ? A 2 5 % m o r e B 2 5 % l e s s C 3 0 % l e s s D 3 0 % m o r e 4 . T h e p r o b a b i l i t y t h a t t h e b i r t h d a y s o f 4 d i f f e r e n t p e r s o n s w i l l f a l l i n e x a c t l y t w o c a l e n d a r m o n t h s i s : A B C D 5 . I n a , p o i n t X i s o n P Q a n d p o i n t Y i s o n P R s u c h t h a t X P = 1 . 5 u n i t s , X Q = 6 u n i t s , P Y = 2 u n i t s a n d Y R = 8 u n i t s . C o n s i d e r t h e f o l l o w i n g s t a t e m e n t s : S t a t e m e n t I : Q R = 5 X Y S t a t e m e n t I I : i s s i m i l a r t o I n t h e l i g h t o f t h e a b o v e s t a t e m e n t s , c h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w . A B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e t r u e B B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e f a l s e C S t a t e m e n t I i s t r u e b u t S t a t e m e n t I I i s f a l s e D S t a t e m e n t I i s f a l s e b u t S t a t e m e n t I I i s t r u e 6 . A c o n s i g n m e n t o f 1 5 w r i s t w a t c h e s c o n t a i n s 4 d e f e c t i v e s . T h e w r i s t w a t c h e s a r e s e l e c t e d a t r a n d o m , o n e b y o n e a n d e x a m i n e d . T h e o n e s e x a m i n e d a r e n o t r e p l a c e d b a c k . W h a t i s t h e p r o b a b i l i t y t h a t n i n t h o n e e x a m i n e d i s t h e l a s t d e f e c t i v e ? A B C D 7 . I n h o w m a n y w a y s c a n t h e f o l l o w i n g p r i z e s b e g i v e n a w a y t o a c l a s s o f 3 0 s t u d e n t s , r s t a n d s e c o n d i n M a t h e m a t i c s , r s t a n d s e c o n d i n P h y s i c s , r s t i n C h e m i s t r y a n d r s t i n E n g l i s h ? A B C 1728 77 87 17 144 11 144 3 ? P Q R ? P Y X ? P R Q 195 11 195 8 195 17 195 16 4! 30! (30) × 4 (29) 4 (30) - 3 1 D 8 . W h a t v a l u e c o m e s i n p l a c e o f q u e s t i o n m a r k ( ? ) i n t h e f o l l o w i n g s t a t e m e n t s a n d a r r a n g e t h e m i n d e s c e n d i n g o r d e r . C h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w : A D > C > A > B B C > A > B > D C D > C > B > A D C > D > B > A 9 . R a v i t o o k a l o a n f r o m H D B C B a n k f o r h i s 2 - y e a r M B A p r o g r a m a t I I M . H e t o o k t h e l o a n o f t 6 l a k h s u c h t h a t h e w o u l d b e c h a r g e d a t 8 % p e r a n n u m c o m p o u n d i n t e r e s t d u r i n g h i s p r o g r a m a n d a t 1 0 % p e r a n n u m c o m p o u n d i n t e r e s t a f t e r c o m p l e t i o n o f c o u r s e . H e r e t u r n e d h a l f o f t h e a m o u n t w h i c h h e h a d t o p a y o n t h e c o m p l e t i o n o f h i s p r o g r a m a n d r e m a i n i n g a f t e r 2 y e a r s . W h a t i s t h e t o t a l a m o u n t r e t u r n e d b y R a v i ? A ? 7 · 7 3 3 2 3 l a k h B ? 6 · 8 3 2 3 1 l a k h C ? 7 · 5 8 l a k h D ? 7 · 3 3 6 l a k h 1 0 . A m i t c a n d o 5 0 % m o r e w o r k t h a n B h u s h a n i n s a m e t i m e . B h u s h a n a l o n e c a n d o a p i e c e o f w o r k i n 3 0 h o u r s . B h u s h a n s t a r t s w o r k i n g a n d h a d a l r e a d y w o r k e d f o r 1 2 h o u r s w h e n A m i t j o i n s h i m . H o w m a n y h o u r s s h o u l d B h u s h a n a n d A m i t w o r k t o g e t h e r t o c o m p l e t e t h e r e m a i n i n g w o r k ? A 6 h o u r s B 1 2 h o u r s C 4 . 8 h o u r s D 7 . 2 h o u r s 1 1 . A c y l i n d r i c a l b o x o f r a d i u s 5 c m c o n t a i n s 1 0 s o l i d s p h e r i c a l b a l l s , e a c h o f r a d i u s 5 c m . I f t h e t o p m o s t b a l l t o u c h e s t h e u p p e r c o v e r o f t h e b o x , t h e n t h e v o l u m e o f e m p t y s p a c e i n t h e b o x i s : A (30) × 4 1(29) 2 A. × 9 5 (225.40 - 45.4) = (?) 2 B. × 1024 40 + (20) + 2 0.5% O f9600 + 469 = (?) 3 C.8 ÷ 12 16 o f32 × 2 3 = 256 (2) ? D.18 + 3 1 9 - 3 2 10 = 3 1 1 +? 3 2 p c m 3 2500 3 B C D 1 2 . G i v e n b e l o w a r e t w o s t a t e m e n t s : S t a t e m e n t I : T h e r a t i o o f t h e c i r c u m f e r e n c e o f t w o c i r c l e s i s 3 : 4 , t h e n t h e r a t i o o f t h e i r a r e a i s 9 : 1 6 . S t a t e m e n t I I : I f t h e c i r c u m f e r e n c e a n d t h e a r e a o f a c i r c l e a r e n u m e r i c a l e q u a l , t h e n t h e d i a m e t e r i s e q u a l t o 4 . I n t h e l i g h t o f t h e a b o v e s t a t e m e n t s , c h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w . A B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e t r u e B B o t h S t a t e m e n t I a n d S t a t e m e n t I I a r e f a l s e C S t a t e m e n t I i s t r u e b u t S t a t e m e n t I I i s f a l s e D S t a t e m e n t I i s f a l s e b u t S t a t e m e n t I I i s t r u e 1 3 . M a t c h L i s t I w i t h L i s t I I : C h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w : A A - I V , B - I I , C - I , D - I I I B A - I V , B - I I I , C - I , D - I I C A - I I , B - I I I , C - I , D - I V D A - I I , B - I I I , C - I V , D - I 1 4 . T h r e e v e s s e l s ' P ' , ' Q ' a n d ' R ' o f s a m e c a p a c i t y a r e a l l f u l l . V e s s e l s ' P ' a n d ' Q ' c o n t a i n m i x t u r e o f m i l k a n d w a t e r i n t h e r a t i o s 4 : 1 a n d 7 : 3 r e s p e c t i v e l y w h i l e v e s s e l ' R ' c o n t a i n s o n l y p u r e m i l k . T h e c o n t e n t s o f t h e s e v e s s e l s a r e p o u r e d i n t o a l a r g e r v e s s e l ' S ' . A f t e r d r a w i n g 3 0 l i t r e s o f m i x t u r e f r o m v e s s e l ' S ' , t h e n a l q u a n t i t y o f w a t e r l e f t i n v e s s e l ' S ' i s 4 0 l i t r e s , t h e n t h e c a p a c i t y o f e a c h v e s s e l i s : A 8 0 l i t r e s B 8 5 l i t r e s C 9 0 l i t r e s 5000 p c m 3 2500 p c m 3 p c m 3 5000 3 D 9 5 l i t r e s 1 5 . C a n d i d a t e s i n a c o m p e t i t i v e e x a m i n a t i o n c o n s i s t e d o f 6 0 % m e n a n d 4 0 % w o m e n . 7 0 % m e n a n d 7 5 % w o m e n c l e a r e d t h e q u a l i f y i n g t e s t a n d e n t e r e d t h e n a l t e s t , w h e r e 8 0 % m e n a n d 7 0 % w o m e n w e r e s u c c e s s f u l . W h i c h o f t h e f o l l o w i n g s t a t e m e n t s i s / a r e c o r r e c t ? A . S u c c e s s r a t e i s h i g h e r f o r w o m e n . B . M o r e m e n c l e a r e d t h e e x a m i n a t i o n t h a n w o m e n . C . S u c c e s s r a t e i s h i g h e r f o r m e n . D . O v e r a l l s u c c e s s r a t e i s b e l o w 5 0 % C h o o s e t h e c o r r e c t a n s w e r f r o m t h e o p t i o n s g i v e n b e l o w : A A o n l y B A a n d D o n l y C B a n d D o n l y D B a n d C o n l y 1 6 . A r r a n g e t h e f o l l o w i n g i n d e s c e n d i n g o r d e r : A : B : C : D : A C > A > B > D B D > C > B > A C C > B > A > D D C > D > B > A 1 7 . T h e v a l u e o f i s : A - 1 B C 1 D 1 8 . A p e r s o n s o l d a n a r t i c l e f o r i 1 3 6 a n d i n c u r r e d 1 5 % l o s s . H a d h e s o l d i t f o r i x , h e w o u l d h a v e o b t a i n e d a p r o t o f 1 5 % . W h i c h o n e o f t h e f o l l o w i n g i s c o r r e c t ? A B C - 401 399 - 301 299 - 101 99 - 201 199 ( x b x a ) ( a + a b+ b ) 2 2 ( x c x b ) ( b + b c+ c ) 2 2 ( x a x c ) ( c + c a+ a ) 2 2 X a b c X ( a+ b+ c) 190 < × < 200 180 < × < 190 170 < × < 180Read More
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FAQs on CMAT 2025 Slot - 2: Past Year Question Paper with Answer Key - 100 DILR Questions for CAT Preparation
| 1. What is the CMAT exam and what does it assess? |  |
Ans. The CMAT (Common Management Admission Test) is a national level entrance examination conducted in India for admission to various management programs. It assesses candidates on their quantitative techniques, logical reasoning, language comprehension, general awareness, and innovation and entrepreneurship skills.
| 2. How can candidates prepare effectively for the CMAT exam? | |
Ans. Candidates can prepare effectively for the CMAT by following a structured study plan, practicing with previous years’ question papers, taking mock tests to gauge their preparation levels, focusing on time management, and strengthening their weak areas through targeted study and revision.
| 3. What is the importance of the answer key for CMAT question papers? | |
Ans. The answer key for CMAT question papers is crucial as it allows candidates to cross-verify their answers with the correct ones. This can help them assess their performance, understand their strengths and weaknesses, and make necessary improvements before the actual exam.
| 4. Are there any eligibility criteria for appearing in the CMAT exam? | |
Ans. Yes, candidates must meet certain eligibility criteria to appear for the CMAT exam. Typically, they should hold a recognized bachelor’s degree in any discipline. Additionally, final year students can also apply, provided they complete their degree before the admission process begins.
| 5. How is the CMAT exam pattern structured? | |
Ans. The CMAT exam pattern generally consists of multiple-choice questions divided into sections such as quantitative techniques, logical reasoning, language comprehension, general awareness, and innovation and entrepreneurship. Each section carries a specific number of questions and marks, and candidates are required to complete the exam within a designated time limit.
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