Which of the following is not divisible by 3?
Options:
(A) 10394
(B) 15363
(C) 29340
(D) 30753
(E) 41715
Answer and stream of consciousness: (E)
Stream of consciousness: Divisibility rule of 3: The sum of the digits of the number should be divisible by 3
Option A: 10394, Sum = 17. Not divisible by 3. Hence the number 10394 is also not divisible by 3
Option B: 15363, Sum = 18, Divisible by 3
Option C: 29340, Sum = 18, Divisible by 3
Option D: 30753, Sum = 18, Divisible by 3
Option E: 41715, Sum = 18, Divisible by 3

A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
Options:
(A) 4500 M3
(B) 27000 M3
(C) 3000 M3
(D) 2700 M3
(E) 3700 M3
Answer and stream of consciousness: (A)
Stream of consciousness: (3000 * 2 * 5)/60 = 4500 M3

A plane flies 500 miles at a speed of r mph. If the plane flies at a speed of r + 250 miles per hour, it would fly the same distance in 1 hour less. What is the value of r?
Options:
(A) 250 mph
(B) 200 mph
(C) 205 mph
(D) 300 mph
(E) 425 mph
Answer and stream of consciousness: (A)
Stream of consciousness: Equation: 500/r = 500/(r+50) + 1
Plug options into the equation
A fits: 500/250 = 500/(250+250) + 1

If x is an odd integer, which of the following is an even integer?
Options:
(A) 2x-x
(B) x+1
(C) 2x+3
(D) x^3
(E) 3x+2x
Answer and stream of consciousness:
(B)
Stream of consciousness: Plug in an odd integer; in this case 3
(2*3)-3 = 3 Odd
3+1 = 4 Even
(2*3)+3 = 9 Odd
3^3 = 27 Odd
(3*3)+(2*3) = 9 + 6 = 15 Odd