question:In how many different ways can the letters of the word 'DIVIDED' be arranged?
Options:
(A) 250
(B) 280
(C) 300
(D) 420
(E) 360
answer:(D)
Stream of consciousness:Number of ways = 7!/3!2! = 7X6X5X4X3X2X1/3X2X1X2X1 = 420

question:Find the odd man out
253, 136, 352, 326, 631, 244
Options:
(A) 326
(B) 136
(C) 352
(D) 631
(E) 531
answer:(A)
Stream of consciousness:The sum all three digits comes to 10 except 326

question:A marble shop contains 6 blue marbles, 7 red marbles, and 7 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be blue?
Options:
(A) 5/19
(B) 9/20
(C) 1/57
(D) 15/57
(E) 15/684
answer:
(C)
Stream of consciousness:It doesn't matter which type of card you choose, so:
Probability of choosing 1st card: 6/20
Probability of choosing 2nd card of the same type: 5/19
Probability of choosing 3rd card of the same type: 4/18
Multiply and you get 1/57