Statistics
What is outlier?
Outlier is a data point that differs significantly from other observations
What comes once in a minute, twice in a moment, but never in a thousand years?
The letter "M"
Find a given that 3, 0, a, a, 4, a, 6, a and 3 have a mean of 4.
5
If an electric train is moving north at 100 mph and the wind is blowing to the west at 10 mph, which way does the smoke from the train go?
Electric trains don’t produce smoke.
A man stands on one side of a river, his dog on the other. A man calls his dog, who immediately traverses the river without getting wet. How did the dog do it?
The river was frozen, so the dog walked across the ice.
T = 7777
R = 1111
Y = 5555
N = 4444
E = ?
E = 3333
T = 7+7+7+7 = TWENTY EIFH(T)
R = 1+1+1+1 = FOU(R)
Y = 5+5+5+5 = TWENT(Y)
N = 4+4+4+4 = SIXTEE(N)
3+3+3+3 = TWELV(E)
If exactly one of these statements is false, which statement is false?
A. Statement D is true.
B. Statement A is false.
C. Statement B is false.
D. Statement C is true.
Since one of the statements is false, it suffices to consider 4 cases, each case assuming one of statements to be false and then checking if this assumption is consistent with other statements or not.
Case 1: Statement A is false. This implies Statement D is false. Since no more than one statements can be false, this assumption is wrong.
Case 2: Statement B is false. This leads to conclusion that A is true, D is true, and C is true. (Looks good)
Case 3: Statement C is false. This results in conclusion of truthfulness of B, and thus fallacy of A, which is not possible.
Case 4: Statement D is false. It signifies that C is false, which is invalid.
So the statement which is wrong is Statement B.