Question
In a bag there are a total of 60 fruits. The average of
the number of apples and mangoes in the bag is equal to the number of bananas in the bag. The ratio between the number of apples and bananas in the bag is 5:4 respectively. Find out the probability of picking two fruits from the bag such that at least one of them is an apple.Solution
The ratio between the number of apples and bananas in the bag is 5:4 respectively.
Let’s assume the number of apples and bananas in the bag is 5y and 4y respectively.
The average of the number of apples and mangoes in the bag is equal to the number of bananas in the bag.
(5y+number of mangoes)/2 = 4y
5y+number of mangoes = 8y
number of mangoes = 8y-5y = 3y
In a bag there are a total of 60 fruits.
5y+3y+4y = 60
12y = 60
y = 5
Number of apples = 5y = 5x5 = 25
Number of mangoes = 3y = 3x5 = 15
Number of bananas = 4y = 4x5 = 20
Probability of picking two fruits from the bag such that at least one of them is an apple = (25C1 x 35C1 + 25C2)/(60C2)
= (25x35+300)/( 1770 )
= (875+300)/( 1770 )
= 1175/ 1770
= 235/354
Select the most appropriate option to fill in the blank.
Today you may not ______ what you hear, but that is the truth and you have to accept it.
PONTIFICATE
 Select the option that best conveys the original sentence's meaning and in a grammatically correct way.
 The artist's latest work...
Identify the highlighted part of speech, choose the correct answer
The man disappeared with the cash.
RECTITUDE
Below are given some sentences (1), (2), (3), (4) and (5). All the sentences represent the same idea expressed in different ways. You have to choose th...
SCANTY
It is recorded that (A)/the last cheetahs were shot at India (B)/in 1947, but there is credible reports (C)/of sightings from the cat (D)/till about 1...
Find the part containing error. If none of the four parts contains error, mark ‘No Error’ as your answer.
As an aspiring musician, one (A) ...
The following question contains three statements, one or more of which may not be grammatically correct. You are required to identify the incorrect sta...
Relevant for Exams:
