A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 120 m
(B) 180 m
(C) 324 m
(D) Cannot be determined
(E) None of these

Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 9 = 150 m So the answer is: (E).

Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 3 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Options:
(A) 2/1
(B) 3/8
(C) 8/5
(D) 5/8
(E) 5/3

Distance traveled by Eddy = 600 km
Time taken by Eddy = 3 hours
Average speed of Eddy = 600/3 = 200 km/hour
Distance traveled by Freddy = 300 km
Time taken by Freddy = 3 hours
Average speed of Freddy = 300/3 = 100 km/hour
Ratio of average speed of Eddy to Freddy = 200/100 = 2/1 So the answer is: (A).

A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 3002
(B) 3000
(C) 3018
(D) 3019
(E) 3012

60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000 So the answer is: (B).

Which oif the following is a prime number?
Options:
(A) 45
(B) 39
(C) 27
(D) 33
(E) 31
Clearly, 31 is a prime number. So choice E is correct. So the answer is: (E).