Latest TCS Aptitude Question SOLUTION: 2/3rd of the balls in a bag are blue, the rest are pink. if 5/9th of the blue balls and 7/8th of the pink balls are defective, find the total number of balls in the bag given that

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2/3rd of the balls in a bag are blue, the rest are pink. if 5/9th of the blue balls and 7/8th of the

pink balls are defective, find the total number of balls in the bag given that the number of non

defective balls is 146.

a) 216 b) 649 c) 432 d) 578

Asked In TCS (10 years ago)

Unsolved Read Solution (11)

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Read Solution (11) :

ravi shankar  (10 years ago)

let total no of balls =x
blue=2x/3
pink=x/3
total no of defective balls = 10x/27 +7x/24
=143x/216
non defective balls=x-143x/216=146
x=432

Is this solution Helpfull? Yes (61) | No (7)  

Anbarasan A  (10 years ago)

total no of defective balls = 10x/27 +7x/24
=143x/216
can u explain this step how it will cum!!

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

shruti rathi  (10 years ago)

let the total balls be x
2/3x=blue & 1/3x=pink
non defective balls=146
total no. of balls=defective+non defective
hence defective=total-non defective(146)
(2/3x)*5/9+(1/3x)*7/8=t-146
0.66203x=t-146
146=0.3303x
x=432

Is this solution Helpfull? Yes (10) | No (4)  

  (5 years ago)

Let the total numbers of the ball in a bag is x.
Blue balls = 2/3 of x and Pink ball = x - 2x/3 = x/3
Defective Blue balls = 5/9 of (2/3 of x) = 5/9 × 2/3 × x = 10/27 × x
Defective Pink balls = 7/8 of x/3 = 7x/24
Now, According to the Question, Non Defective Blue and Pink balls = 146
Total no. of balls=defective+Non defective
Non defective=Total -Defective
x - ( 10x/27 + 7x/24) = 146
x - ( 8(10x) + 9(7x) / 216 ) = 146
x - (80x + 63x)/216 = 146
x - 143x/216 = 146
x = 432

Is this solution Helpfull? Yes (5) | No   

Pratik sharma  (9 years ago)

Non defective blue ball + Non defective pink ball =146
(5/9)(2x/3)+(7/8)(1x/3)=146
10x/27+7x/24=146
x=432

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vikash kumar singh  (10 years ago)

216 and 578 both exactly divisible by 3, but 216 is very small so take the 578.
ANS D:578*2/3=288 blue balls & 578-288-144 pink balls.
288*5/9 defective=160 defective blue balls & 144*7/8=126 defective pink balls.
and the 288-160= 128 non defective blue balls and 144-126=18 non defective pink balls. add both 128+18 = 146 non defective balls. VIKASH KUMAR SINGH(JNU ECE)

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

Arpit Rawat  (10 years ago)

pls explain how 10x/27 +7x/24 come from

Is this solution Helpfull? Yes (1) | No   

sai sudha  (10 years ago)

2/3x*5/9=10/27x
and x/3*7/8=7x/24

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sundeep  (10 years ago)

@anbarasan lcm of 10x/27+7x/24

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  (6 years ago)

lcm of 27,24 = 216 (Check in net if you dont know lcm)

Is this solution Helpfull? Yes | No (1)  

Ankur kumar  (5 years ago)

Ans = 432
let total balls = x
blue balls =2/3x
pink balls= 1/3x

defective balls =5/9(blue) + 7/8(pink) => 5/9 (2/3x) +7/9(1/3x)

Non defective = x - defective balls
146= x- 5/9 (2/3x) +7/9(1/3x)
146 = (216x -143x)/216
146=73x / 216
x= (146*216) /73 =432

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