Rationale: Answer = A. 45 miles
Relational speed = 130 - 100 = 30 miles per hour
In 2 hours, difference = 30 * 2 = 60 miles
Fast train trailing 15 miles, so effective difference = 60 - 15 = 45 miles
The answer: (A)
Question: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 3 o'clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?
Options:
(A) 45 miles
(B) 80 miles
(C) 90 miles
(D) 120 miles
(E) 400 miles
Reasoning: 6C2 * 3C3 * 4C3 = 15*1*4 = 60.
Ans: (C)
Question: An analyst will recommend a combination of 2 industrial stocks, 3 transportation stocks, and 3 utility stocks. If the analyst can choose from 6 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 9 stocks are possible?
Options:
(A) 12
(B) 19
(C) 60
(D) 180
(E) 720
Rationale: T and S should serve on A
The answer: (D)
Question: In case R is the only individual sewing on committee B, which among the following shouldserve on committee A?
Options:
(A) V and U
(B) V and T
(C) U and S
(D) T and S
(E) T and U
Reasoning: 8 * 83 = 664 10 = 654
Ans: (C)
Question: A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 83. How many points altogether did the team score?
Options:
(A) 662
(B) 672
(C) 654
(D) 642
(E) 721
Rationale: S = 480/16 * 18/5 = 108 kmph
The answer: (B)
Question: A train 480 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 22 kmph
(B) 108 kmph
(C) 54 kmph
(D) 71 kmph
(E) 88 kmph
Rationale: 1/30 + 1/40 = 7/120
120/7 = 17 1/7 days
The answer: (A)
Question: Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
Options:
(A) 17 1/7
(B) 17 1/5
(C) 17 1/8
(D) 17 1/1
(E) 17 1/2