question: Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?
Options:
(A) 2079
(B) 456
(C) 974
(D) 562
(E) 300
answer: Stream of consciousness: 639 is not divisible by 7
2079 is divisible by each of 3, 7, 9, 11. The answer is (A).

q: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
Options:
(A) (a b) 2 + 4ab
(B) a(a + b) + b(a + b)
(C) (a2 b2) + 2b(b + a)
(D) (a b) b + (a + b) 2b
(E) (a + b) 2 2a(a b) + a(2a 2b)
a: Stream of consciousness: The other parts are equal to (a + b)2. The answer is (D).

question: At what rate percent on simple interest will a sum of money double itself in 30 years?
Options:
(A) 3 1/3%
(B) 3 5/3%
(C) 3 1/9%
(D) 3 1/5%
(E) 3 1/7%
answer: Stream of consciousness: P = (P*30*R)/100
R = 3 1/3% The answer is (A).

q: How many digits are in the number 50^8 8^3 11^3?
Options:
(A) 22
(B) 20
(C) 19
(D) 18
(E) 17
a: Stream of consciousness: Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10
50^8 8^3 11^3 = (5^2*2)^8*2^9*11^3 = 5^16*2^17*11^3 = 2*11^3*10^16 = 2662*10^16
Hence we would have 16 trailing 0's and the three digits from 2662
Total digits = 4 + 16 = 20 The answer is (B).

question: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?
Options:
(A) 40 sec
(B) 42 sec
(C) 44 sec
(D) 48 sec
(E) 50 sec
answer: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec
Total distance covered = 360 + 190 = 550 m
Required time = 550 * 2/25 = 44 se The answer is (C).

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