A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. Find the speed of the train.
Options:
(A) 110 kmph
(B) 120 kmph
(C) 108 kmph
(D) 100 kmph
(E) 98 kmph
Answer and stream of consciousness: (C)
Stream of consciousness: In 10s the train crosses the pole and in 30 sec the train crosses one more stationary train
In 20 sec the train travels a distance of 600 mtrs
Speed = 600/20 = 30 m/s = 30 (3600/1000) = 30 * 18/5 = 108 kmph

From among the 35 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
Options:
(A) 1360
(B) 1260
(C) 1060
(D) 1190
(E) 1460
Answer and stream of consciousness: (D)
Stream of consciousness: There are 35 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 35 ways. When one person is appointed as leader, we are left with 35 students. Out of these 34 teachers, we can select one class representative. So, a class representative can be selected in 34 ways. Hence, the number of ways in which a leader and class representative can be selected = 35 x 34 = 1190

The number N is 5,2H7, where H represents the ten's digit. If N is divisible by 3, what is the value of H?
Options:
(A) 3
(B) 8
(C) 5
(D) 6
(E) 4
Answer and stream of consciousness: (E)
Stream of consciousness: If the number is divisible by 3, the sum of the digits must also be divisible by 3. Only 4 yields such a number.

Find the largest 4 digit number which isexactly divisible by 88?
Options:
(A) 7851
(B) 8902
(C) 9944
(D) 9578
(E) 9734
Answer and stream of consciousness:
(C)
Stream of consciousness: Largest 4 digit number is 9999
After doing 9999 88 we get remainder 55
Hence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944