Latest TCS Aptitude Question SOLUTION: in how many ways you can hit a double century only by hitting 4's & 6's.

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(#M40028910) TCS question permutation Keep an EYE

in how many ways you can hit a double century only by hitting 4's & 6's.

Asked In TCS ishaq siddique (11 years ago)

Unsolved Read Solution (12)

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Suvojyoti Sinha Ray  (11 years ago)

The maximum no. of 6 u can hit to get 200 is 32 because 32*6=192 and rest 4*2=8. So for every 2*6=12, it is replaced by 4*3=12. So count goes as 6->32 and 4->2. Next is 6->30 and 4->5. and it goes on till 6->0 and 4->50. Thus the total no. of ways= 0 to 16 = 17 ways..

Is this solution Helpfull? Yes (41) | No   

K.T.HAQUE  (11 years ago)

17 ways..

Is this solution Helpfull? Yes (6) | No (3)  

Sagar Mate  (11 years ago)

equation will be
4x+6y = 200
==> 2x+3y = 100
'y' can never be odd and has max limit of 32
so there are 16 ways
+
no '6' condition
soo total 17 ways..

Is this solution Helpfull? Yes (3) | No   

C.Suneel Kumar Reddy  (11 years ago)

16 ways .

Is this solution Helpfull? Yes (2) | No (6)  

jaydeep sarkar  (11 years ago)

for 20 runs no of ways 4(ie no of 4`s in total-1,i,e (20/4)-1);
for 50 runs no of ways 11(ie no of 4`s in total-1,i,e (50/4)-1);
for 200 runs no of ways 49(ie no of 4`s in total-1,i,e (200/4)-1);

Is this solution Helpfull? Yes (1) | No (5)  

Roshan Sharma  (11 years ago)

16 ways...since if he hit 32 6's then 2 4's...30 6's then 5 4's..similarly in this way getting difference of 2...32/2=16 times occur pair of 6's and 4's..so he can make 200 in 16 ways

Is this solution Helpfull? Yes (1) | No (4)  

Roshan Sharma  (11 years ago)

ya, 1 condition is also there for 0 6's and 50 4's..so 17 ways..i have not mention this condition before..

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Dipannita Adhikary  (11 years ago)

9 ways....
4x+6y=100
now put x=1,we get y=16
likewise total 9 ways

Is this solution Helpfull? Yes | No (4)  

Dipannita Adhikary  (11 years ago)

17 ways 4x+6y=200
subsitutng x=2,we get y=32
likewise 17 ways

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Sambita Guha Thakurata  (11 years ago)

isnt it 9??

those who are saying 17 or 16 plzz explain

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kodali kranthi  (11 years ago)

17ways ..multiples of 6 up to 100 and all 4's

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Guru Pranav  (11 years ago)

17 ways :)

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