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Quantitative Aptitude MCQ - Probability

1 A positive integer is selected at random and is divided by 7. What is the probability that the remainder is not 1?

A
B
C
D
1

Desired probability lies in the range of 1-7 only.
Then, again from 8, remainder starts with a count 1, 2 ....
Total favourable cases are 7 and in only 1 case remainder is 1. Thus, probability that the remainder is 1 = 1/7.
∴ The probability that the remainder is not 1

2 A card is taken out of a pack of 52 cards numbered 2 to 53. The probability that the numbers on the card is a prime number less than 20 is

3 The probability of getting a number between 1 and 100. Which is divisible by one and itself only is

4 If A and B are two elements such that P(A) = 2/3, P(B) = 3/4, P(A ∩ B) = 1/2, then P(A ∪ B) =

5 If A and B are two events such that P(A ∪ B) = 0.65, P(A ∩ B) = 0.15, then P(A') + P(B') =

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Question:

Three machines M1, M2 and M3 produce identicalitems. Of their respective output 5%, 4% and 3%of items are faulty. On a certain day, M1 hasproduced 25% of the…

A. 0.155
B. 0.255
C. 0.355
D. 0.455

Correct answer: C

Explanation:

Let the event of drawing a faulty item from any of the machines be A, and the event that an item drawn at random was produced by Mi…

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