(Ans). (D)
(Question). An equity analyst needs to select 5 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 10, in how many ways can she choose and rank her top 5 picks?
Options:
(A) 21548
(B) 31502
(C) 21250
(D) 30240
(E) 84045
(CoT). Number of ways of choosing 5 stocks = 10C5
Number of ways of ranking the chosen stocks = 5!
Hence total ways of chosing and ranking = 10C5 * 5! = 30240

(Ans). (A)
(Question). Find the area of a parallelogram with base 24 cm and height 16 cm.
Options:
(A) 384 cm^2
(B) 200 cm^2
(C) 250 cm^2
(D) 350 cm^2
(E) 400 cm^2
(CoT). Area of a parallelogram = base * height = 24 * 16 = 384 cm2

(Ans). (A)
(Question). The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 46
(B) 83
(C) 45
(D) 53
(E) 64
(CoT). Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46.

(Ans). (E)
(Question).
In how many different ways can the letters of the word "AIM" be rearrangement?
Options:
(A) 4
(B) 2
(C) 7
(D) 9
(E) 6
(CoT). Option 'E'
The total number of arrangements is
3P3 = 3! = 6