Q: 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
A: OK... Stream of consciousness: 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 is (A).

Q: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Options:
(A) 2800
(B) 2500
(C) 2700
(D) 3000
(E) 3500
A: OK... Stream of consciousness: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 â€“ 5x/100 = 144
2x/100 = 56 Ã¨ x = 2800
The answer is (A).

Q: A 200 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 1266
(D) 188
(E) 80
A: OK... Stream of consciousness: S = 200/9 * 18/5 = 80 kmph
The answer is (E).

Q: One red flower, three white flowers and two blue flowers are arranged in a line such that
I. No two adjacent flowers are of the same colour.
II. The flowers at the two ends of the line are of different colours.
In how many different ways can the flowers be arranged?
Options:
(A) 6
(B) 4
(C) 10
(D) 12
(E) 14
A:
OK... Stream of consciousness: The total possibilities are W@W@W@ (or) @W@W@W, where 2 blue and 1 red flowers occupy the space marked as @. Hence, the Total number of permutations is 2 x (3! / 2!) = 6.
The answer is (A).
Q: 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
A: OK... Stream of consciousness: 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 is (A).

Q: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Options:
(A) 2800
(B) 2500
(C) 2700
(D) 3000
(E) 3500
A: OK... Stream of consciousness: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 â€“ 5x/100 = 144
2x/100 = 56 Ã¨ x = 2800
The answer is (A).

Q: A 200 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 1266
(D) 188
(E) 80
A: OK... Stream of consciousness: S = 200/9 * 18/5 = 80 kmph
The answer is (E).

Q: One red flower, three white flowers and two blue flowers are arranged in a line such that
I. No two adjacent flowers are of the same colour.
II. The flowers at the two ends of the line are of different colours.
In how many different ways can the flowers be arranged?
Options:
(A) 6
(B) 4
(C) 10
(D) 12
(E) 14
A:
user
OK... Stream of consciousness: The total possibilities are W@W@W@ (or) @W@W@W, where 2 blue and 1 red flowers occupy the space marked as @. Hence, the Total number of permutations is 2 x (3! / 2!) = 6.
The answer is (A).
assistant
Q: 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
A: OK... Stream of consciousness: 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 is (A).

Q: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
Options:
(A) 2800
(B) 2500
(C) 2700
(D) 3000
(E) 3500
A: OK... Stream of consciousness: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144
3x/100 + 200 â€“ 5x/100 = 144
2x/100 = 56 Ã¨ x = 2800
The answer is (A).

Q: A 200 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?
Options:
(A) 228
(B) 108
(C) 1266
(D) 188
(E) 80
A: OK... Stream of consciousness: S = 200/9 * 18/5 = 80 kmph
The answer is (E).

Q: One red flower, three white flowers and two blue flowers are arranged in a line such that
I. No two adjacent flowers are of the same colour.
II. The flowers at the two ends of the line are of different colours.
In how many different ways can the flowers be arranged?
Options:
(A) 6
(B) 4
(C) 10
(D) 12
(E) 14
A:
OK... Stream of consciousness: The total possibilities are W@W@W@ (or) @W@W@W, where 2 blue and 1 red flowers occupy the space marked as @. Hence, the Total number of permutations is 2 x (3! / 2!) = 6.
The answer is (A).