Q: Calculate the largest 6 digit number which is exactly divisible by 55?
Options:
(A) 999955
(B) 999900
(C) 999845
(D) 999790
(E) 999735
A: OK... Stream of consciousness: Largest 4 digit number is 999999
After doing 999999 55 we get remainder 44
Hence largest 4 digit number exactly divisible by 88 = 999999 - 44 = 999955
The answer is (A).

Q: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 4 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) 30
A: OK... 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 = 27
The answer is (D).

Q: The sticks of same length are used to form a triangle as shown below.If 87 such sticks are used then how many triangles can be formed?
Options:
(A) 43
(B) 44
(C) 45
(D) 465
(E) 47
A: OK... Stream of consciousness: First triangle is formed by using 3 sticks, but any subsequent triangle may be formed by using 2 sticks. Therefore, If 1st triangles uses 3 sticks, Remaining sticks = 87 - 3 = 84. With these 84, we can form 42 triangles. So total = 42 + 1 = 43
The answer is (A).

Q: The average of eight results is 37 and that of the first seven is 40. The eighth result is?
Options:
(A) 25
(B) 30
(C) 12
(D) 37
(E) 16
A:
OK... Stream of consciousness: 8 * 37 7 * 40 = 16
The answer is (E).