The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?
Options:
(A) 46
(B) 77
(C) 88
(D) 544
(E) 33
Answer and stream of consciousness: (A)
Stream of consciousness: Sum of all the 13 numbers = 13 * 60 = 780
Sum of the first 7 of them = 7 * 57 = 399
Sum of the last 7 of them = 7 * 61 = 427
So, the 8th number = 427 + 399 - 780 = 46.

At 15:00 there were 22 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?
Options:
(A) 7
(B) 14
(C) 25
(D) 27
(E) 32
Answer and stream of consciousness: (E)
Stream of consciousness: Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -
8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)
20 + 3*14 -8 * 4 = 32

A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?
Options:
(A) 9
(B) 11
(C) 15
(D) 5
(E) 20
Answer and stream of consciousness: (A)
Stream of consciousness: 221 + 43 = 264/17 = 9

A no.when divided by 222 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Options:
(A) 2
(B) 7
(C) 9
(D) 10
(E) 15
Answer and stream of consciousness:
(D)
Stream of consciousness: 222 + 43 = 265/17 = 10 (Remainder)