Reasoning: Formula = ab
A = 64 and B = 81
6481 = 8 9 = 72
Ans: (D)
Question: Find the mean proportional between 64 & 81?
Options:
(A) A) 59
(B) B) 61
(C) C) 63
(D) D) 72
(E) E) 67
Rationale: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750
The answer: (A)
Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Options:
(A) 750
(B) 888
(C) 261
(D) 787
(E) 17'
Reasoning: 44 + 28 + 10 = 82%
100 82 = 18%
400 * 18/100 = 72
Ans: (C)
Question: In a school of 400 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Options:
(A) 41
(B) 63
(C) 72
(D) 63
(E) 50
Rationale: Profit = q
Profit to company founder = 2q/3
Profit to other partners = q/3
Number of other partners = 3
Profit to each partner = (q/3)/3 = q/9
The answer: (A)
Question: Last year, Company X made q dollars in profit. two Thrid of the profit went to the company's founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?
Options:
(A) q/9
(B) q/5
(C) q/6
(D) q/7
(E) q/8
Reasoning: Total = n(A) + n(B) - Both + None
None = Total - n(A) - n(B) + Both
Calculate "none" for each case
None(5+ yrs Line) = 200 - 50 - 40 + 30 = 140
None(5+ yrs Staff) = 160 - 40 - 50 + 20 = 90
Employees not taking either workshop/Total number of employees = (140 + 90)/(200 + 160) = 230/360 = About 64%
Ans: (B)
Question: Approximately what percent of the employees with 5 or more years of employment are NOT taking either workshop?
Options:
(A) 86%
(B) 64%
(C) 50%
(D) 14%
(E) 7%
Reasoning: 11 + 13 + 17 + 19 = 60/4 = 15
Ans: (C)
Question: The average of first four prime numbers greater than 10 is?
Options:
(A) 10
(B) 20
(C) 15
(D) 40
(E) 50