Rationale: 1 to 11 = 11 * 40 = 440
1 to 5 = 5 * 49 = 245
5 to 11 = 7 * 52 = 364
5th = 245 + 364 440 = 169
The answer: (E)
Question: The average of 11 results is 40, if the average of first five results is 49 and that of the last seven is 52. Find the fifth result?
Options:
(A) 165
(B) 166
(C) 167
(D) 168
(E) 169
Reasoning: Veronica can choose 3 photos in 5C3 = 10 ways
She can choose 4 photos in 5C4 = 5 ways
Total number of ways = 10 + 5 = 15
Ans: (D)
Question: SHOW TIMER STATISTICS
To apply for the position of photographer at a local magazine, Veronica needs to include three or four of her pictures in an envelope accompanying her application. If she has pre-selected five photos representative of her work, how many choices does she have to provide the photos for the magazine?
Options:
(A) 5
(B) 10
(C) 12
(D) 15
(E) 50
Rationale: 44 + 28 + 10 = 82%
100 82 = 18%
300 * 18/100 = 54
The answer: (A)
Question: In a school of 300 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) 54
(B) 63
(C) 70
(D) 42
(E) 31
Reasoning: Cost price of article = 48$
% of overhead cost = 15
Net profit = 12 $
We need to calculate % markup
Net profit as % of cost price = (12/48)*100 = 25%
Total markup should be = 25 + 15 = 40%
Ans: (D)
Question: The purchase price of an article is $48. In order to include 15% 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%
Rationale: Work done by X in 1 day = 1/18
Work done by Y in 1 day = 1/15
Work done by Y in 10 days = 10/15 = 2/3
Remaining work = 1 2/3 = 1/3
Number of days in which X can finish the remaining work = (1/3) / (1/18) = 6
The answer: (C)
Question: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
Options:
(A) 5
(B) 4
(C) 6
(D) 7
(E) 8
Rationale: 1/20 + 1/30 = 5/60 = 1/12
12 = 12 *2 = 24 days
The answer: (B)
Question: A can do a job in 20 days and B can do it in 30 days. A and B working together will finish twice the amount of work in days?
Options:
(A) 22 1/6
(B) 24
(C) 22 1/0
(D) 22 1/9
(E) 22 1/1