Direction Following are the questions based on two statements and answer the following based on the ...........

Quantitative Aptitude(IBPS CL) Data Sufficiency

Direction (): Following are the questions based on two statements and answer the following based on the given statements.

Let x be total number of balls in a bag. Balls are of three different colors i.e. black, white and red. Calculate (x-1).

Statement I. Probability of getting a black ball is ?, a red ball is ? & a white ball is ?.

Statement II. If one white ball is lost, probability of not getting a white ball is 8/23 and initial number of white balls in bag is less than 27.

Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the question

Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question.

Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

Either statement I or statement II by itself is sufficient to answer the question.

Statements I and II taken together are not sufficient to answer the question

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Explanation:

Probability of getting a black ball is = 1/6
Let there are ‘a’ black balls & ‘6a’ total balls
Similarly red balls= ‘a’
Probability of getting a while ball = 2/3 = 4/6
There will be 4a white balls.
x = 6a
But it can’t be solved further.
From II −
Probability of getting a white balls = 1–8/23 = 15/23

Let here 15 m white balls and 23 m total remaining balls after 1 white ball is lost
And 23m + 1 = x
15m + 1 is initial number of white balls
15 m is multiple of 15, it could be
15, 30, 45….
But it is given that initial number is less than 27. Therefore initial number of balls is 15m + 1 = 16 balls, and now 15 balls are remaining. Hence 23 m = x – 1
Put m=1
x=24 balls
Hence it can be answered from (ii) alone.