Latest TCS Aptitude Question SOLUTION: Find the number of ways a batsman can score a double century only in terms of 4’s & 6’s?

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(#M40152912) TCS Numerical Ability question Keep an EYE

Find the number of ways a batsman can score a double century only in terms of 4’s & 6’s?

Asked In TCS Nakshatra Mukhopadhyay (8 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

Sarbapriya Panja  (8 years ago)

LCM of 6&4 is 12
200/12=16.66
here 16 cases possible
and 1 case is where 50*4=200
therefore 17 cases possible

Is this solution Helpfull? Yes (14) | No   

rohit shaw  (8 years ago)

4x + 6y = 200 ⇒2x+3y=100 ⇒x=(100−3y)/22=50−3/2y
As x is an integer, y should be a multiple of 2.
If
y = 0, x = 50
y = 2, x = 47
y = 4, x = 44
...
y = 32, x = 2

So total ways are (32-0)/2 + 1 = 17 ( if 0 6's are possible) otherwise 16

Is this solution Helpfull? Yes (9) | No   

vamsi  (8 years ago)

if all or fours then 50*4=200 (1st way)
now 3 fours changed to 2 sixes
47*4+2*6=200
now 6 fours changed to 4 sixes
44*4+4*6=200
.
.

.
finally it possible in 16 ways(50/3=16)
48 fours changed into 32 sixes
2*4+32*6=200


so finally=16+1=17 ways

Is this solution Helpfull? Yes (4) | No   

AMIT  (8 years ago)

4x + 6y = 200
As x is an integer, y should be a multiple of 2.
If
y = 0, x = 50
y = 2, x = 47
y = 4, x = 44
...
y = 32, x = 2

So total ways are (32-0)/2 + 1 = 17 ( if 0 6's are possible) otherwise 16

Is this solution Helpfull? Yes (3) | No   

samatha  (8 years ago)

4x+6y=200
x

Is this solution Helpfull? Yes | No (4)  

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