q: 189. The inside dimensions of a rectangular wooden box
are 12 inches by 14 inches by 16 inches. A cylindrical
canister is to be placed inside the box so that it stands
upright when the closed box rests on one of its six
faces. Of all such canisters that could be used, what is
the radius, in inches, of the one that has maximum
volume?
Options:
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
a: Stream of consciousness: Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 16x14width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 14, so the radius will be 7. The answer is (E).

question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?
Options:
(A) 65 sec
(B) 16 sec
(C) 87 sec
(D) 99 sec
(E) 96 sec
answer: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec
Time taken = 280 * 2/35 = 16 sec The answer is (B).

q: If 5 spiders can catch five flies in five minutes, how many flies can hundred spiders catch in 100 minutes?
Options:
(A) 100
(B) 1000
(C) 500
(D) 2000
(E) None
a: Stream of consciousness: 5 5 x = 100 100 5 x = 2000. The answer is (D).

question: How much is 80% of 40 is greater than 4/5 of 20?
Options:
(A) 12
(B) 27
(C) 18
(D) 16
(E) 81
answer: Stream of consciousness: (80/100) * 40 (4/5) * 20
32 - 16 = 16 The answer is (D).

q: Which of the following is not divisible by 3?
Options:
(A) 10,395
(B) 41,714
(C) 15,354
(D) 30,708
(E) 29,313
a: Stream of consciousness: Divisibility rule of 3: The sum of the digits of the number should be divisible by 3
Option A: 10395, Sum = 18. Divisible by 3
Option B: 41714, Sum = 17, Not divisible by 3. Hence the number 41714 is also not divisible by 3
Option C: 15354, Sum = 18, Divisible by 3
Option D: 30708, Sum = 18, Divisible by 3
Option E: 29313, Sum = 18, Divisible by 3 The answer is (B).

q: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Options:
(A) 2 1/2
(B) 2 1/6
(C) 4 1/2
(D) 2 1/1
(E) 2 1/8
a:
Stream of consciousness: Required time = (5 1/4)/3 + (5 1/4)/7 = 2 1/2 hours. The answer is (A).