(Ans). (E)
(Question). If 23m n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
Options:
(A) 2m 1
(B) 4m
(C) 6m
(D) m/5
(E) 8m
(CoT). 23m - n = p
Add n to both sides:
23m = n + p
Add m to both sides:
24m = n + p + m
Now, divide both sides by 3
8m = (n + p + m)/3 = the average of n, p, and m

(Ans). (B)
(Question). John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?
Options:
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
(CoT). If he draws any combination of 3 socks he will definitely have the matching pair of either colour.

(Ans). (B)
(Question). 5,9,20,32,52,__
Options:
(A) 79
(B) 85
(C) 81
(D) 82
(E) 83
(CoT). (9+5) +6 = 20
(16+9) +7 = 32
(28+16)+8 = 52
(48+28)+9 = 85

(Ans). (D)
(Question).
A car traveled from San Diego to San Francisco at an average speed of 63 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options:
(A) 24.
(B) 32.
(C) 36.
(D) 42.
(E) 44.
(CoT). Let the time taken be = x
One way distance = 63x
Total distance traveled = 2 * 63x = 126x
Total time taken = x + 2x = 3x
Average speed = 126x/3x = 42