Latest TCS Aptitude Question SOLUTION: find the no of ways a batsman can score a double century only in terms of 4's and 6's? a)15 b)16 c)17 d)19

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(#M40038351) TCS Numerical Ability question Keep an EYE

find the no of ways a batsman can score a double century only in terms of 4's and 6's?
a)15
b)16
c)17
d)19

Asked In TCS dhanashree awate (9 years ago)

Unsolved Read Solution (19)

Is this Puzzle helpful?   (34)   (19) Submit Your Solution Permutation and Combination

Read Solution (19) :

Dikesh Kumar Gumansingh  (9 years ago)

sorry....for the 1st answer
CORRECT ANSWER IS 16
LCM OF 6 & 4 =12
200/12=16.66=16(APPROX)(FLOOR VALUE)

Is this solution Helpfull? Yes (34) | No (2)  

KRISHAN MURARI  (9 years ago)

4's and 6's
------------
50 0
47 2
44 4
41 6
38 8
35 10
32 12
29 14
26 16
23 18
20 20
17 22
14 24
11 26
8 28
5 30
2 32
So total 17 ways but here it is 4's & 6's both so don't consider 1st one
Final ans : 16 ways

Is this solution Helpfull? Yes (26) | No (7)  

karthikeyank  (9 years ago)

Ans:16
4s and 6s
=3:2
Starting position 4's and 6's
50 0
reduce 3 in 50 every iteration up to coming 2...
increase 2 in 0 every iteration up to coming 32...
there are 17 no of ways...
50 0 is not possible..
17-1=16

Is this solution Helpfull? Yes (11) | No (2)  

priyanka  (9 years ago)

1. 4*50 + 6*0 =200
2. 4*47 + 6*2 =200
3. 4*44 + 6*4 =200
4. 4*41 + 6*6 =200
.
.
.17. 4*2 + 6*32 =200
here we see that multiple of 4 is decreasing constantly by 3
n makes an A.P. where a=50, d=-3 & an=2
by formula, a+(n-1)d=an
50+(n-1)(-3)=2
n=17
so, no. of ways = 17

Is this solution Helpfull? Yes (5) | No (2)  

Goldi kumari  (9 years ago)

let 100 no batsman
L.C.M of 4 and 6 is 12
200/12=16.6
16 ways

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karthikeyank  (9 years ago)

Any one can explain esy method ?????..........

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Gourab Dutta  (9 years ago)

16 ways he can hit 200

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deepshikha  (9 years ago)

4x+6y=200;
2x+3y=100;
x=(100-3y)/2;
x=50-3y/2;
take integer value of x and y
then by solving this equation we get first value y=2 and x=47,y=4,x=44 and in this way difference b/w two consecutive no in term of x=3...now we put progression formula to find no of term.tn=a+(n-1)d
47=1+(n-1)3
then n=15.33
i.e.n=16

Is this solution Helpfull? Yes (2) | No   

nmtsaikumar  (9 years ago)

LCM of 6 and 4 is 12.
i.e., for every difference of 12 runs combination of 4's and 6's are possible
Therefore, possible ways is 200/12=16.67
i.e., 16 no. of ways

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sai indrneel  (9 years ago)

16 ways he can hit

Is this solution Helpfull? Yes (1) | No (3)  

Dikesh Kumar Gumansingh  (9 years ago)

LCM of 6 &4 is 12
200/12=16.66=17(approx)
so ans is 17

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

Britto prabhu  (9 years ago)

Answer is 16,They asked 4's and 6's----so, 50*4,0*6 is not valid.
Totally 17 possibility.
So,17-1=16

Is this solution Helpfull? Yes (1) | No   

niraj kumar mishra  (9 years ago)

@karthikeyank
i think 2 six makes 3 fours
so 2n*6+3m*4=200
=>n+m=200/12=16.6 smthng
so 16 is the ans.

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vishnudeekshit  (9 years ago)

16*6+1*4=200 so 17

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kaustav chakraborty  (9 years ago)

tum logan se na hoga -_-

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Shikha  (9 years ago)

16 as the combinations are 12,24,....192.so the no of cmbinations are 16

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S.Periyadharshini  (9 years ago)

can anyone tell the answer whether it is 16 or 17

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pardeep  (9 years ago)

16 is correct ans

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Surit Datta  (9 years ago)

16 ways.
As lcm of 6 and 4 is 12
200/12 = 16.66(floor value)

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