Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 4 days?
Options:
(A) 2/5
(B) 1/6
(C) 1/4
(D) 1/9
(E) 2/9
Answer and stream of consciousness: (E)
Stream of consciousness: A's one day's work = 1/30
B's one day's work = 1/45
(A + B)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 4 days = 4 (1/18) = 2/9.

Which of the following is not divisible by 8?
Options:
(A) 10032
(B) 21192
(C) 47816
(D) 91232
(E) 72034
Answer and stream of consciousness: (E)
Stream of consciousness: Divisibility rule of 8: Last three digits of the number should be divisible by 8
Option A: 10032, last three digits = 032. Divisible by 8
Option B: 21192, last three digits = 192. Divisible by 8
Option C: 47816, last three digits = 816. Divisible by 8
Option D: 91232, last three digits = 232. Divisible by 8
Option E: 72034, last three digits = 034. Not divisible by 8. Hence 72034 is not divisible by 8

How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 2 ?
Options:
(A) 2
(B) 3
(C) 4
(D) 5
(E) 0
Answer and stream of consciousness: (E)
Stream of consciousness: A number ending with 2 can never be a perfect squar

The average of first 10 odd numbers is?
Options:
(A) 44
(B) 10
(C) 99
(D) 77
(E) 62
Answer and stream of consciousness:
(B)
Stream of consciousness: Sum of 10 odd no. = 100
Average = 100/10 = 10