Question
A bag contains a certain number of fruits of three
varieties: apple, orange, and banana. The total number of apples and oranges is 13, which is 5 more than the number of apples in the bag. If two fruits are drawn at random without replacement, the probability that the first fruit drawn is an apple and the second is a banana is 14/95. Find the total number of fruits in the bag.Solution
Number of apple = 13 – 5 = 8 Number of orange = 5 Number of banana = x 14/95 = 8/(13 + x) * x/(12 + x) 380x = 7 * (13 + x) * (12 + x) 380x = 7 * (156 + 13x + 12x + x2) 7x2 – 205x + 1092 = 0 7x2 – 49x – 156x + 1092 = 0 7x(x – 7) – 156(x – 7) = 0 x = 7, 22.28(not possible) Required total = 13 + 7 = 20
Statements: B > C, D > E, C = F, A ≥ F, D = A
Conclusion:
I. B ≥ E
II. E > B
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are definitely true...
Statements: C ≥ E > M ≤ Z < B; G ≥ Z > K
Conclusions:      I. C > K                 II. G ≥ B        ...
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are true and then g...
Which of the following will be definitely true if the given expression L > M ≥ N > O ≥ P > Q = S ≤ T > R ≤ U is definitely not true?
Which among the following symbols should replace the question mark [?] (in the same order from left to right) in the given expression in order to make b...
- In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and then g...
Statements: S @ O, O & E, E $ K, K # C
Conclusions: I. S @ K II. K @ O III. C @ E
...Statements:K < L,L ≥ M,M > N
Conclusions: I. K < M II. N > K
Statement-1 - P > Q ≥ R < S > T
2 - L ˃ R ≥ M ≥ N
Conclusions:
P > N
Q ≥ M
L < N
...
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