question: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
Options:
(A) 118
(B) 150
(C) 300
(D) 258
(E) 191
answer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec
Length of the train = speed * time = 50/3 * 18 = 300 m The answer is (C).

q: In 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. How must the balls be divided so as to give a person who draws 1 ball from either bag-
Options:
(A) 9/18
(B) 9/16
(C) 9/11
(D) 9/12
(E) 9/13
a: Stream of consciousness: (1) Put 1 white in first bag, and all the remaining ball in second bag. Probability = 120+12516120+12516 = 532532
(2) To maximize, we put 1 red in the first bag, and all the remaining in the second. Probability = 121+12432121+12432 = 9/16 The answer is (B).

question: Find the mean proportional between 64 & 81?
Options:
(A) A) 59
(B) B) 61
(C) C) 63
(D) D) 72
(E) E) 67
answer: Stream of consciousness: Formula = ab
A = 64 and B = 81
6481 = 8 9 = 72 The answer is (D).

q: If anitha rows 65 km upstream and 105 km down steam taking 13 hours each, then the speed of the stream
Options:
(A) 8.4 kmph
(B) 5.5 kmph
(C) 6 kmph
(D) 8 kmph
(E) 8.2 kmph
a: Stream of consciousness: Speed upstream = 65/13 = 5 kmph
Speed down stream = 105/5 = 21 kmph
Speed of stream = (21-5) = 8 kmph The answer is (D).

question: A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 10 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Options:
(A) 1/200
(B) 1/59
(C) 1/56
(D) 1/54
(E) 1/53
answer: Stream of consciousness: The probability of selecting girl is: 25/100 = 1/4
The probability of selecting rich is: 20/100 = 1/5
The probability of selecting fair complexioned is: 10/100 = 1/10
Three are independent;probability of rich and fair complexioned girl is:
(1/4) (1/5) (1/10) = 1/200 The answer is (A).

question: The floor of a rectangular room is 15 m long and 12 m wide. The room is surrounded by a verandah of width 2 m on all its sides. The area of the verandah is :
Options:
(A) 124 m2
(B) 120 m2
(C) 108 m2
(D) 58 m2
(E) None of these
answer:
Stream of consciousness: Area of the outer rectangle = 19 16 = 304 m2
Area of the inner rectangle = 15 12 = 180 m2
Required area = (304 180) = 124 m2 The answer is (A).