question: A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
Options:
(A) 7
(B) 8
(C) 9
(D) 24
(E) 23
answer: Stream of consciousness: To construct 2 lines, three points can be selected out of 4 in 4 x 3 x 2 = 24 ways. Now, if third line goes from the third-point to the first point, a triangle is formed, and if it goes to the fourth point, a triangle is not formed. So, there are 24 ways to form a triangle and 24 ways of avoiding triangle. The answer is (D).

q: The average of first 13 natural numbers is?
Options:
(A) 5.2
(B) 5.5
(C) 7
(D) 9
(E) 10
a: Stream of consciousness: Sum of 13 natural no. = 182/2 = 91
Average = 91/13 = 7 The answer is (C).

question: The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?
Options:
(A) 280
(B) 290
(C) 342
(D) 250
(E) 253
answer: Stream of consciousness: 400*(90/100)*(95/100) = 342 The answer is (C).

q: The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What is the effect on its area?
Options:
(A) 1288
(B) 9600
(C) 1000
(D) 10000
(E) 2887
a: Stream of consciousness: 100 * 100 = 10000
120 * 80 = 9600 The answer is (B).

question: A traveller makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Kms, the total distance traveled by him is
Options:
(A) 124 Kms
(B) 134 Kms
(C) 144 Kms
(D) 244 Kms
(E) None of the above
answer: Stream of consciousness: (1-(3/4))(1-(2/3)of distance = 12 km
(1/12) of distance = 12 km
Hence distance = 144 km The answer is (C).

question: Look at this series: 80, 10, 70, 15, 60, ... What number should come next?
Options:
(A) 20
(B) 23
(C) 25
(D) 30
(E) 35
answer:
Stream of consciousness: This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next. The answer is (A).