question: A train 180 m long running at 70 kmph crosses a platform in 20 sec. What is the length of the platform?
Options:
(A) 208
(B) 277
(C) 350
(D) 881
(E) 271
answer: Stream of consciousness: D = 70 * 5/18 = 20 = 388 180 = 208 The answer is (A).

q: Fill in the blank with the correct number in this number series: 1, 20, 7, 16, __, 12, 19, ?
Options:
(A) 14
(B) 12
(C) 13
(D) 15
(E) 11
a: Stream of consciousness: This is a simple alternating subtraction and addition series; The first series begins with 1 and adds 6; the second begins with 20 and subtracts 4, and so on. The answer is (C).

question: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (-2, -2) and a diameter of 8. Some points, such as the center (-2, -2), are inside the circle, but a point such as (-2, 2) is on the circle but not in the circle. How many lattice points are in circle C?
Options:
(A) 40
(B) 10
(C) 73
(D) 60
(E) 63
answer: Stream of consciousness: The lattice points that are in the circle that lie on the perspective axes is as follows: since the diameter is 8, 9 points lie on the horizontal axis (8 + center), but the end points are not in the circle, so 9 - 2 (the same for the vertical axis, but don't count center again), 7 - 1. The lattice points in the circle and not on the horizontal and vertical axes is as follows: lattice points can be found at 45, 45/2 and 30 degrees of axes (30 and 45/2 degrees from horizontal and vertical axes), so same numbers as before, but don't count center again. So, 13 + 5 * 12 = 73
There are a total of 73 lattice points in the circle. The answer is (C).

q: The average of 13 numbers is 60. Average of the first 7 of them is 55 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 32
(B) 83
(C) 45
(D) 53
(E) 64
a: Stream of consciousness: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 55 = 385
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 385 - 780 = 32. The answer is (A).

question: Find the simple interest on Rs.620 for 10 months at 10 paisa per month?
Options:
(A) 277
(B) 620
(C) 640
(D) 678
(E) 121
answer: Stream of consciousness: I = (620*10*10)/100 = 620 The answer is (B).

question: A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
Options:
(A) 2277
(B) 3000
(C) 2682
(D) 7222
(E) 2682
answer:
Stream of consciousness: 60*5:36*6:75*3
100: 72: 75
100/247 * 7410 = 3000 The answer is (B).