q: Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Options:
(A) 17 1/9
(B) 17 1/3
(C) 17 1/7
(D) 17 1/9
(E) 17 1/1
a: Stream of consciousness: 1/20 + 1/30 - 1/40 = 7/120
120/7 = 17 1/7 The answer is (C).

question: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.150. Find the unknown rate of two towels?
Options:
(A) 400
(B) 450
(C) 500
(D) 550
(E) 600
answer: Stream of consciousness: 10 * 150 = 1500
3 * 100 + 5 * 150 = 1050
1500 1050 = 450 The answer is (B).

q: A train 310 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options:
(A) 40 sec
(B) 50 sec
(C) 44 sec
(D) 36 sec
(E) 60 sec
a: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 310 + 140 = 450 m
Required time = 450 * 2/25 = 36 sec The answer is (D).

question: In how many different ways can the letters of the word 'PREPTY' be arranged?
Options:
(A) 280
(B) 290
(C) 300
(D) 340
(E) 360
answer: Stream of consciousness: Number of ways = 61/21 6X5X4X3X2X1 - 360 The answer is (E).

q: If 6x = 8y = 10z, then what is a possible sum of positive integers x, y, and z?
Options:
(A) 52
(B) 58
(C) 84
(D) 94
(E) 168
a: Stream of consciousness: 6x = 8y = 10z
3x = 4y = 5z
3(4*5) = 4(3*5) = 5(3*4)
Addition = 20+15+12 = 47
Answer would be multiple of 47 which is 94 The answer is (D).

q: John makes $50 a week from his job. He earns a raise andnow makes $90 a week. What is the % increase?
Options:
(A) 15%
(B) 16.66%
(C) 17.8%
(D) 80%
(E) 21%
a:
Stream of consciousness: Increase = (40/50)*100 = (4/5)*100 = 80%. The answer is (D).