q: Find the third proportional to 3 and 9?
Options:
(A) 10
(B) 12
(C) 27
(D) 19
(E) 20
a: Stream of consciousness: Formula = Third proportional = (b b)/a
A = 3 and B = 9
(9 x 9)/ 3 = 81/3 = 27 The answer is (C).

question: What should come in place of the question mark (?) in the following equation?
90000 + 5010 = 87050 + ?
Options:
(A) 7960
(B) 7554
(C) 8465
(D) 4578
(E) 4689
answer: Stream of consciousness: 90000 + 5010 = 87050 + ?
90000 + 5010 87050 = 7960 The answer is (A).

q: A train 560 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
Options:
(A) 126 kmph
(B) 77 kmph
(C) 54 kmph
(D) 71 kmph
(E) 88 kmph
a: Stream of consciousness: S = 560/16 * 18/5 = 126 kmph The answer is (A).

question: If a man can cover 16 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
Options:
(A) 180km
(B) 190km
(C) 200km
(D) 210km
(E) 216km
answer: Stream of consciousness: 16 m/s = 16 * 18/5 kmph
3 hours 45 minutes = 3 3/4 hours = 15/4 hours
Distance = speed * time = 16 * 18/5 * 15/4 km = 216 km. The answer is (E).

q: In how many different ways can the letters of the word 'DIVIDED' be arranged?
Options:
(A) 250
(B) 280
(C) 300
(D) 420
(E) 360
a: Stream of consciousness: Number of ways = 7!/3!2! = 7X6X5X4X3X2X1/3X2X1X2X1 = 420 The answer is (D).

q: The total number of problems in the mathematics and algebra books is 28 more than the total number of problems in the algebra and geometry books. How much lesser is the number of problems in the geometry book as compared to the mathematics book?
Options:
(A) 30
(B) 18
(C) 28
(D) 25
(E) 32
a:
Stream of consciousness: (Mathematics + Algebra) - (Algebra + Geometry) = 28
Mathematics - Geometry = 28 The answer is (C).