Q: 189. The inside dimensions of a rectangular wooden box
are 2 inches by 4 inches by 6 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) 2
(B) 4
(C) 5
(D) 6
(E) 8
A: OK... 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 6x4 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 4, so the radius will be 2.
The answer is (A).

Q: Express 60 mps in kmph?
Options:
(A) 200
(B) 182
(C) 216
(D) 127
(E) 400
A: OK... Stream of consciousness: 60 * 18/5 = 216 kmph
The answer is (C).

Q: The average of first 10 even numbers is?
Options:
(A) 19
(B) 18
(C) 16
(D) 11
(E) 17
A: OK... Stream of consciousness: Sum of 10 even numbers = 10 * 11 = 110
Average = 110/10 = 11
The answer is (D).

Q: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 10(B + G) is ?
Options:
(A) Equal to 3
(B) Less than 3
(C) More than 10
(D) Less than 10
(E) none of these
A:
OK... Stream of consciousness: Let number of boys = x
Let number of girls = y
Therefore x/y = B and y/x = G
10(B + G) = 10[(x/y) + (y/x)] = 10[(x2 + y2)/xy] > 10
The answer is (C).