In Cricket game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
Options:
(A) 1/3
(B) 4/9
(C) 5/9
(D) 2/3
(E) 3/4

In Cricket game Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:
P(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9. So the answer is: (C).

In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?
Options:
(A) 48
(B) 24
(C) 120
(D) 60
(E) None of these

Reqd. number = 4! × 2! = 24 × 2 = 48 So the answer is: (A).

The inverse ratio of 3: 2: 1 is?
Options:
(A) 2:9:5
(B) 2:3:0
(C) 2:3:5
(D) 2:3:6
(E) 2:3:1

1/3: 1/2: 1/1 = 2:3:6 So the answer is: (D).

The purchase price of an article is $48. In order to include 25% of cost for overhead and to provide $12 of net profit, the markup should be
Options:
(A) 50%
(B) 25%
(C) 35%
(D) 40%
(E) 45%

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
Cost price of article = 48$
% of overhead cost = 25
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 25 = 50% So the answer is: (A).