Rationale: The second and forth letters in the series, L and A, are static. The first and third letters consist of an alphabetical order beginning with the letter
The answer: (E)
Question: ELFA, GLHA, ILJA, _____, MLNA
Options:
(A) IOH
(B) HTY
(C) YOU
(D) FLQ
(E) KLLA
Reasoning: Number of ways of selecting 2 fiction books = 3C2
Number of ways of selecting 2 non fiction books = 6C2
3C2 * 6C2 = 3 * 15 = 45
Ans: (C)
Question: There are 3 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Options:
(A) 90
(B) 120
(C) 45
(D) 180
(E) 200
Rationale: 1 to 11 = 11 * 48 = 528
1 to 6 = 6 * 49 = 294
6 to 11 = 6 * 52 = 312
6th = 294 + 312 â€“ 528 = 78
The answer: (C)
Question: The average of 11 results is 48, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Options:
(A) 21
(B) 56
(C) 78
(D) 25
(E) 23
Reasoning: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 15 = 250 m
Ans: (E)
Question: A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
Options:
(A) 120 m
(B) 190 m
(C) 115 m
(D) 110 m
(E) 250 m
Rationale: P(A|B) = P(A âˆª B)/P(B)
P(A|B) = (16/15)/(7/15) = 16/7.
The answer: (B)
Question: If P(A) = 2/15, P(B) = 7/15, and P(A âˆª B) = 16/15 Find P(A|B)
Options:
(A) 1/2
(B) 16/7
(C) 3/2
(D) 4/5
(E) 4/7
Rationale: P(at last 1 tails) = 1 - P(all heads) = 1 - (1/2)^3 = 7/8.
The answer: (D)

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Question: The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
Options:
(A)  1/8
(B)  1/2
(C)  3/4
(D)  7/8
(E)  15/16