Aptitude Tests 4 Me

Basic Numeracy/Quantitative Aptitude

Detailed Solution

193. The correct answer is The curve is skewed to the right.
There is a relatively small number of extremely high scores, which tends to pull the mean up while leaving the median relatively unaffected. Statisticians say that the median is "resistant" to extreme data, while the mean is "nonresistant." By the way, a skew occurs in the direction where the data are sparse (in this case, to the right), not where they are dense

194. The correct answer is 3 x 4 x 5 x 6 = 360
The basic principle of counting uses only the multiplication operation. The factorial operation is used in combinations and permutations

195. The correct answer is n x (n - 1) x ... x (n - r + 1)
On the other hand, the formula for the factorial operation is given by n! = n x (n - 1) x ... x 3 x 2 x 1

196. The correct answer is Y
Notice that nCr = n!/[(n-r)!r!]. Also, nC(n-r)= n!/[(n-r)!(n-(n-r))!] = n!/[(n-r)!r!]= nCr. Therefore, nCr and nC(n-r) are equivalent

197. The correct answer is Pascal's triangles
We can obtain the values of the coefficients quickly by using the numbers generated from the Pascal's triangle. For example, the third row has the numbers 1, 2, 1, which corresponds to the answer (x + y)^2 = x^2 + 2xy + y^2. A more general theorem is the multinomial theorem, which can be applied for the expansions that involve 2 or more unknowns.

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