question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 781
(C) 767
(D) 277
(E) 266
answer: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter The answer is (A).


q: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 60 mph. What is his average speed of travel for the entire journey?
Options:
(A) 53.33 mph
(B) 56.67 mph
(C) 52 mph
(D) 64 mph
(E) 66.67 mph
a: Stream of consciousness: Average Speed = Total distance/ Total time = (40 * 2 + 60 * 3)/(2 + 3) = 260/5 = 52 The answer is (C).


question: 9 basketball players are trying out to be on a newly formed basketball team. Of these players, 5 will be chosen for the team. If 6 of the players are guards and 3 of the players are forwards, how many different teams of 3 guards and 2 forwards can be chosen?
Options:
(A) 23
(B) 30
(C) 42
(D) 60
(E) 126
answer: Stream of consciousness: Out of 6 gaurds we have to select 3 -> selection means we use C -> so 6C3
Out of 3 forwards we have to select 2 -> selection means we use C -> so 3C2
Total ways = 6C3 x 3C2 = 60 The answer is (D).


q: In an office, 50 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A)  8
(B)  64
(C)  50
(D)  144
(E)  160
a: Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(50/100)*Workers = x+16 = > x = 8 The answer is (A).


question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Options:
(A) 750
(B) 277
(C) 262
(D) 231
(E) 123
answer: Stream of consciousness: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750 The answer is (A).


question: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
(A) 50
(B) 75
(C) 100
(D) 120
(E) 25
answer:
Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m The answer is (A).
question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 781
(C) 767
(D) 277
(E) 266
answer: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter The answer is (A).


q: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 60 mph. What is his average speed of travel for the entire journey?
Options:
(A) 53.33 mph
(B) 56.67 mph
(C) 52 mph
(D) 64 mph
(E) 66.67 mph
a: Stream of consciousness: Average Speed = Total distance/ Total time = (40 * 2 + 60 * 3)/(2 + 3) = 260/5 = 52 The answer is (C).


question: 9 basketball players are trying out to be on a newly formed basketball team. Of these players, 5 will be chosen for the team. If 6 of the players are guards and 3 of the players are forwards, how many different teams of 3 guards and 2 forwards can be chosen?
Options:
(A) 23
(B) 30
(C) 42
(D) 60
(E) 126
answer: Stream of consciousness: Out of 6 gaurds we have to select 3 -> selection means we use C -> so 6C3
Out of 3 forwards we have to select 2 -> selection means we use C -> so 3C2
Total ways = 6C3 x 3C2 = 60 The answer is (D).


q: In an office, 50 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A)  8
(B)  64
(C)  50
(D)  144
(E)  160
a: Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(50/100)*Workers = x+16 = > x = 8 The answer is (A).


question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Options:
(A) 750
(B) 277
(C) 262
(D) 231
(E) 123
answer: Stream of consciousness: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750 The answer is (A).


question: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
(A) 50
(B) 75
(C) 100
(D) 120
(E) 25
answer:
user
Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m The answer is (A).
assistant
question: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 781
(C) 767
(D) 277
(E) 266
answer: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter The answer is (A).


q: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 60 mph. What is his average speed of travel for the entire journey?
Options:
(A) 53.33 mph
(B) 56.67 mph
(C) 52 mph
(D) 64 mph
(E) 66.67 mph
a: Stream of consciousness: Average Speed = Total distance/ Total time = (40 * 2 + 60 * 3)/(2 + 3) = 260/5 = 52 The answer is (C).


question: 9 basketball players are trying out to be on a newly formed basketball team. Of these players, 5 will be chosen for the team. If 6 of the players are guards and 3 of the players are forwards, how many different teams of 3 guards and 2 forwards can be chosen?
Options:
(A) 23
(B) 30
(C) 42
(D) 60
(E) 126
answer: Stream of consciousness: Out of 6 gaurds we have to select 3 -> selection means we use C -> so 6C3
Out of 3 forwards we have to select 2 -> selection means we use C -> so 3C2
Total ways = 6C3 x 3C2 = 60 The answer is (D).


q: In an office, 50 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Options:
(A)  8
(B)  64
(C)  50
(D)  144
(E)  160
a: Stream of consciousness: (10/100)Workers = 16 = > number of workers = 160
(50/100)*Workers = x+16 = > x = 8 The answer is (A).


question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Options:
(A) 750
(B) 277
(C) 262
(D) 231
(E) 123
answer: Stream of consciousness: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750 The answer is (A).


question: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?
Options:
(A) 50
(B) 75
(C) 100
(D) 120
(E) 25
answer:
Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 3 = 50 m The answer is (A).