Latest TCS Aptitude Question SOLUTION: A schoolyard contains only bicycles and 4 wheeled wagons. On Tuesday, the total number of wheels in the schoolyard was 134. What could be possible number of bicycles? (a) 16 (b)

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A schoolyard contains only bicycles and 4 wheeled wagons. On Tuesday, the total number of wheels in the schoolyard was 134. What could be possible number of bicycles?
(a) 16
(b) 15
(c) 18
(d) 14

Asked In TCS jyoti (12 years ago)

Unsolved Read Solution (10)

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Read Solution (10) :

arun chouksey  (12 years ago)

15
b'coz 134-15*2=104 which is divisible by 4.
and no other option fullfill this condition

Is this solution Helpfull? Yes (31) | No (2)  

prashant kumar  (12 years ago)

let no of bicycles=x and wagon=y
so,
2x+4y=134
=> x+2y=67
as x and y should be integer.
x=odd no.
hence 15 ans.

Is this solution Helpfull? Yes (14) | No (4)  

harish nagar  (12 years ago)

first choose option and multiply it by 2(number of tyre of bycycle) then subtract it from 134.If remainder is divisible by 4 then your option is right.

Is this solution Helpfull? Yes (9) | No (1)  

maneesh kumar singh  (12 years ago)

we can easily predict from answer...
as if we take 15 bicyles then we have 30 bicycles wheels and rest is 104 which is divisible by 4 .
hence ans is b)15

Is this solution Helpfull? Yes (3) | No (2)  

saurabh himanshu  (12 years ago)

the total no. of wheels are 134 divide it by 4 we get 33 with remainder 2
its means 33 wagons and 2 bicycles . if we reduced 1 wagon thn we ill get 2 more cycles thus decrease in this manner u will get ans= 16

Is this solution Helpfull? Yes (2) | No (9)  

arjun  (12 years ago)

ans is 15.............

Is this solution Helpfull? Yes (2) | No (3)  

siddhi datri  (8 years ago)

Ans...(b)15
Reason............
BY hit & trail method,
134=26*(4)+15*(2)
only satisfies the total no of wheels.

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

udhayakumar  (10 years ago)

ans:15
no of bicycle wheels 15*2=30 and wagons wheels=total wheels-bicycle wheels
i.e 134-30=104 and no 4 wheel wagons = 104/4=26.
remaining all option come on decimal values.

Is this solution Helpfull? Yes | No (2)  

Jayesh Shukla  (4 years ago)

let x be the bicycles
y be the wagons
2x+4y=134
x+2y=67

Is this solution Helpfull? Yes | No (1)  

Shashwat Kashyap  (2 years ago)

Ans : (b) 15
As
No of wheels for 16 cycles = 16 x 2 = 32
So no of wheels for wagons = 134 - 32 = 102
Which is not Possible as 102 is not divisible by 4

Similarly for case of 18 and 14.

But for 15 cycles we have 30 wheels thus making the no of wheels for wagons as 104
which is possible with total no of wagons as 26 (104/4)

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