Question
In a factory, there are 3 machines. Machine A completes
a task in 8 days, Machine B completes it in 12 days, and Machine C completes it in 15 days. If all machines are working together, how long will they take to complete the task?Solution
Rate of work of A = 1/8, B = 1/12, C = 1/15 Combined rate of work = 1/8 + 1/12 + 1/15 LCM of 8, 12, and 15 = 120 Combined rate = (15 + 10 + 8)/120 = 33/120 Time taken = 40/11 days Correct Option: a
Two data sets of sizes 6 and 9 have standard deviation 3 and 4, respectively, and arithmetic means 4 and 4, respectively. The standard deviation of com...
If A and B are manually exclusive events such that P(A)P(B) > 0 , then which option is correct?
For the distribution
X: 1 0 1
P(x): 0.3 ...
A man pedals cycle from his house to his office at a speed of 10 km/h and back from the office to his house at a speed of 15 km/h. His average speed (i...
Which of the following is NOT a type of data classification?
If Z1, Z2,…Zn are n independent standard normal variates, then Σni=1 Z2i will follow:
If the first, second, and third moment about the origin are 2, 8, and 18 respectively, then third moment about mean is
The mean deviation from an average A will be minimum, if A represents:
If the occurrence of events follows Poisson Process with mean rate λ, then inter-occurrence time of events will follow:
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