Rationale: K + 2K +3 + 4K - 4 + 5K +1 = 12K
(12K)/4 = 63
12K = 63 * 4 = 252
K = 252 / 12 = 21
The answer: (C)
Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 4K 4 and 5K + 1 is 63, what is the value of K?
Options:
(A) 11
(B) 15 3/4
(C) 21
(D) 23
(E) 25 3/10
Reasoning: Total number of votes polled = (2136 + 7636 + 11628) = 21260
So, Required percentage = 11628/21260 * 100 = 54%
Ans: (C)
Question: 3 candidates in an election and received 2136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Options:
(A) 45%
(B) 49%
(C) 54%
(D) 59%
(E) 61%
Rationale: Here, l = 8 and m = 16
Therefore, first number = l/m x 100% of second number = 8/16 x 100% of second number = 50% of second number
The answer: (D)
Question: If the given two numbers are respectively 8% and 16% of a third number, then what percentage is the first of the second ?
Options:
(A) 20%
(B) 25%
(C) 18%
(D) 50%
(E) none of these
Reasoning: The amount of money the daughter received was (750 + 5+ y) dollars. The $5 goodwill gift as a fraction of the amount received was, therefore, 5/(755+y).
Ans: (B)
Question: A daughter lent $750 to her mother to help pay her rent. At the end of the month, the daughter received y dollars more than than the amount that was lent due to interest. The mother also gave her daughter an additional $5 for goodwill. In terms of y, what fraction of the total amount that the daughter received was the goodwill amount?
Options:
(A) (5y-1) /(755-y)
(B) 5/(755+y)
(C) 5y/(755+y) -1
(D) 5y/(755+y)
(E) 5y
Rationale: Here, neither the total amount nor the individual amount is given. So the share of Q cannot be determine
The answer: (D)
Question: An amount of money is to be divided among P, Q and R in the ratio of 4 : 9 : 16. If R gets 4 times more than P, what is Q's share in it?
Options:
(A) 1,800
(B) 2,700
(C) 3,600
(D) Data inadequate
(E) None of these
Rationale: Answer will be D. Straightforward question.
The answer: (D)
Question: Sarah's seafood restaurant gets a delivery of fresh seafood every day, 6 days per week, and her delivery company charges her dollars per delivery plus cents per item delivered. If lst week Sarah's seafood restaurant had an average of x items per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ?
Options:
(A) 6cdx/100
(B) d + 6cx/100
(C) 6d + xc/100
(D) 6d + 6xc/100
(E) 6cdx