q: What is the maximum number of pieces of birthday cake of size 5" by 5" that can be cut from a cake 15" by 15"?
Options:
(A) 5
(B) 10
(C) 16
(D) 20
(E) 9
a: Stream of consciousness: The prompt is essentially asking for the maximum number of 5 x 5 squares that can be cut from a larger 15 by 15 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 3 'pieces' each, we have (3)(3) = 9 total smaller squares (at maximum). The answer is (E).

question: What will be the remainder when 17^200 is divided by 18
Options:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
answer: Stream of consciousness: 17^200 % 18
(17-18)^200 % 18
(-1)^200 % 18
1 % 18 = 1 The answer is (A).

q: The product of face value of 3 and local value of 6 in the numeral 78934064 is
Options:
(A) 18
(B) 24
(C) 180
(D) 240
(E) 108
a: Stream of consciousness: (Face value of 3) x (Local value of 6) = (3 x 60) = 180 The answer is (C).

question: If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?
Options:
(A) 22 1/2 %
(B) 22%
(C) 21 %
(D) 30%
(E) 40 %
answer: Stream of consciousness: 9 = (1*40*R)/100
R = 22 1/2 % The answer is (A).

q: A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
Options:
(A) 150
(B) 781
(C) 767
(D) 277
(E) 266
a: Stream of consciousness: Speed = 60*(5/18) m/sec = 50/3 m/sec
Length of Train (Distance) = Speed * Time
(50/3) * 9 = 150 meter The answer is (A).

q: What is the are of an equilateral triangle of side 14 cm?
Options:
(A) 663 cm2
(B) 743 cm2
(C) 643 cm2
(D) 493 cm2
(E) 143 cm2
a:
Stream of consciousness: Area of an equilateral triangle = 3/4 S2
If S = 14, Area of triangle = 3/4 * 14 * 14 = 493 cm2; The answer is (D).