What is the probability that Company Q's advertisement will be one of the first two be shown during the first commercial break?
Options:
(A) 1/ 225
(B) 1 / 30
(C) 1 /15
(D) 2 / 15
(E) 4 /15

Q 1/15 + (14/15) * 1/14 = 2/15 So the answer is: (D).

A motorcyclist goes from Bombay to Pune, a distance of 160 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 2:5
(C) 1:4
(D) 1:1
(E) 1:6

T = 160/32 = 5 h
T = 5 - 3 = 2
Time Ratio = 5:2 = 5:2
Speed Ratio = 2:5 So the answer is: (B).

Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 5 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Options:
(A) 30
(B) 20
(C) 18
(D) 12
(E) 6

21-12 < no of hrs < 21-5
9< no of hrs < 16. So the answer is: (D).

Calculate the largest 6 digit number which is exactly divisible by 55?
Options:
(A) 999955
(B) 999900
(C) 999845
(D) 999790
(E) 999735
Largest 4 digit number is 999999
After doing 999999 55 we get remainder 44
Hence largest 4 digit number exactly divisible by 88 = 999999 - 44 = 999955 So the answer is: (A).