Q: In a division sum, the remainder is 4 and the divisor is 2 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is:
Options:
(A) 72
(B) 90
(C) 100
(D) 110
(E) 120
A: OK... Stream of consciousness: Diver = (4*3)+2 = 14
2* Quotient = 14
Quotient = 7
Dividend = (Divisor * Quotient) + Remainder
Dividend = (14 * 7) + 2 = 100
The answer is (C).

Q: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.4 km long?
Options:
(A) 2 mins 14 sec
(B) 2 mins 34 sec
(C) 2 mins 54 sec
(D) 4 mins 54 sec
(E) 2 mins 44 sec
A: OK... Stream of consciousness: D = 25 * 60 + 1400 = 2900 m
T = 2900/60 * 18/5 = 174 sec = 2 mins 54 se
The answer is (C).

Q: Three grades of milk are 2 percent, 3 percent and 5 percent fat by volume. If x gallons of the 2 percent grade, y gallons of the 3 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 4 percent grade, what is x in terms of y and z?
Options:
(A) y + 3z
(B) (y +z)  / 4
(C) 2y + 3z
(D) z/2
(E) 3y + 4.5z
A: OK... Stream of consciousness: Based on the given information, the following equation could be dervied: 2% * x + 4% * y + 5% * z = 4% * (x+y+z) Then use algebra to figure out -2%*x = 0%*y - 1%*z. Thus, 2x = z.
The answer is (D).

Q: Find the largest 7 digit number which is exactly divisible by 88?
Options:
(A) 9998765
(B) 9998907
(C) 9999944
(D) 9999954
(E) 9999968
A:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
OK... Stream of consciousness: Largest 7 digit number is 9999999
After doing 9999999 ÷ 88 we get remainder 31
Hence largest 7 digit number exactly divisible by 88 = 9999999 - 31 = 9999968
The answer is (E).