Question: For all positive integers m and v, the expression m v represents the remainder when m is divided by v. What is the value of (( 90 33 ) 17 ) - ( 99 (33 17)) ?
Options:
(A) 10
(B) 8
(C) 6
(D) 4
(E) 2
Ans: (D)
CoT: (( 90 33 ) 17 )
The remainder of 90 divided by 33 is 24;
The remainder of 24 divided by 17 is 7;
( 99 (33 17))
The remainder of 33 divided by 17 is 16;
7 - 3 = 4.
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Question: The purchase price of an article is $48. In order to include 20% of cost for overhead and to provide $12 of net profit, the markup should be
Options:
(A) 15%
(B) 25%
(C) 35%
(D) 40%
(E) 45%
Ans: (E)
CoT: Cost price of article = 48$
% of overhead cost = 20
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 20 = 45%
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Question: If the cost price of 50 articles is equal to the selling price of 15 articles, then the gain or loss percent is?
Options:
(A) 16
(B) 127
(C) 12
(D) 18
(E) 233
Ans: (E)
CoT: Percentage of profit = 35/15 * 100 = 233%
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