Quant Single Items

1. A certain fraction is equivalent to 2/5 . If the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1/3 . What is the sum of numerator and denominator of the original fraction? 
(1) 49 
(2) 35 
(3) 28 
(4) 26 
(5) 21


2. The population of city X increased from 650,000 in 2000 to 700,000 in 2010, and it is projected that the population will increase by the same number from 2010 to 2020. Approximately what is the projected percent increase in population from 2010 to 2020 ? 
(1) 7.1% 
(2) 7.7% 
(3) 8.3% 
(4) 14.3% 
(5) 15.3%


4. In how many different ways, letters of the word MANPOWER be arranged such that all vowels are together? 
(1) 360 
(2) 4320 
(3) 1440
(4) 2160
(5) 40320

5. On a certain test, 3 students each had a score of 90, 9 students each had a score of 80, 4 students each had a score of 70, and 4 students each had a score of 60. What was the average (arithmetic mean) score for the 20 students ? 
(1) 70.5 
(2) 75.0 
(3) 75.5
(4) 80.0 
(5) 80.5

Direction (6 – 10) : Study the following Pie-chart carefully and answer the questions given below:
Survey Conducted on 21000 people to find out various Professionals in the town and percentage of Female Professionals amongst them Various Professionals = 21000

Profession	% of Females
Lawyers	40
Teachers	80
Architects	40
Engineers	60
Designers	35
Doctors	20

6. What is the ratio of the number of male Architects to the number of male Teachers in the town?
(1) 11 : 5
(2) 3 : 2
(3) 5 : 11
(4) 2 : 3
(5)None of these

7. Female Doctors are what percent of total number of male and female professionals in the town?
(1) 4.2
(2) 2.8
(3) 1.5
(4) 3.5
(5)None of these

8. What is the difference between the total number of male and female professionals in the town?
(1) 2568
(2) 2268
(3) 2108
(4) 2328
(5)None of these

9. The total number of Lawyers in town is approximately what percent of doctors in the town?
(1) 95
(2) 98
(3) 90
(4) 85
(5) 81

10. What is the ratio of total number of male Engineers and Designers to the female professionals in the town?
(1) 41 : 44
(2) 55 : 53
(3) 31 : 35
(4) 444 : 35
(5)None of these


ANSWERS
61. (5)
Let the numerator and denominator be 2x and 5x. Now
(2x + 4)/10 = 1/3
X = 3.
Required sum = 2x + 5x = 7x = 21

2. (1)
Required percentage = (750000 - 700000)/700000 * 100 = 7.14%



4. (2)
Number of arrangements = 3! *  6! = 4320

5. (3)
Total score of students = 3 * 90 + 9 * 80 + 4 * 70 + 4 * 60 = 1510
Required average = 1510/20  =  75.5

Solutions (6-10)
Profession Male Female Total
Lawyers 2394 1596 3990
Teachers 630 2520 3150
Architects 1386 924 2310
Engineers 1512 2268 3780
Designers 2184 1176 3360
Doctors 3528 882 4410
Total 11634 9366 21000

6. (1)
Required ratio = (60% of 11) : (20% of 15) = 11 : 5

7. (1)
Required percentage = 20% of 21 = 4.2

8. (2)
Required difference = 11634 – 9366 = 2268

9. (3)
Required percentage =  19/21 * 100 = 90.4%

10. (5)
Required ratio = (1512 + 2184) : 9366 = 88 : 223