Sunday 20 August 2017

Quantitative Aptitude



Directions (1-4): Study table and answer the questions given below: 

Brand
1 year old
1-2 years old
2-5 years old
More than 5 years old
LG
15%
45%
40%

Samsung
5%
15%
25%
55%
BPL
10%
10%
10%
70%
Videocon
25%
55%
20%

Sony
15%
50%
20%
15%
Q1. If 1,00,000 TVs were sold last year, how many LG sets were sold?    
(a) 10,000
(b) 12,500
(c) 15,000
(d) Cannot be determined 
(e) None of these

Q2. If the total BPL sets sold to date are 500,000, how many are more than one year old?  
(a) 500,000
(b) 450,000
(c) 50,000
(d) Cannot be determined 
(e) None of these

Q3. If the total Samsung sets sold to date is same as the total Sony sets sold to date, then by what present the number of Samsung TV sets which are more than 5 years old is more or less then the number of Sony TV sets which are more than 2 years old?
(a) 36.36% More
(b) 57.14% More
(c) 36.36% Less
(d) 57.14% Less
(e) None of these

Q4. If the total LG sets sold to date are 800,000, how many are less than 2 years old?  
(a) 4,80,000
(b) 1,30,000 
(c) 1,20,000 
(d) Cannot be determined 
(e) None of these

Directions (5-9): Read the table and answer the questions that follow: 

S.No.
Course
                                      FACULTY


  Engineering
Non-Engineering


Girls
Boys
Girls
Boys
1.
Business Management
25
45
25
65
2.
Computers
23
186
20
32
3.
Finance
25
120
12
58
4.
Others
12
100
3
5

Q5. If 60% of the boys and 70% of the girls are successful in the courses taken by them, then what is the combined pass percentage? (approximately)  
(a) 67.2
(b) 66
(c) 62
(d) 68.5 
(e) None of these

Q6. In which course is the percentage of girls (among the total number of students) higher than the percentage of girls in any other courses?  
(a) Business Management 
(b) Computers 
(c) Finance 
(d) Others 
(e) None of these

Q7. By what percentage is the number of students doing Computers more than the number of students doing Business Management? 
(a) 67.2
(b) 63.1
(c) 62
(d) 68.5
(e) None of these

Q8. The percentage of girls engineers doing Business Management are: 
(a) 11.2
(b) 12.2
(c) 15
(d) 15.3
(e) None of these

Q9. Taking all the courses together, by what percentage do the number of boys exceed the number of girls?   
(a) 521.4%
(b) 421.4%
(c) 321.4%
(d) 329%
(e) None of these
Directions (10-15): Study Table and answer the questions following that.

Age Group
Percentage
Up to 15
30.00
Up to 25
47.75
Up to 35
65.00
Up to 45
79.50
Up to 55
93.75
Up to 65
98.87
  Up to 110
100.00
Q10. Which one of the age groups listed below accounts for the maximum population in the state?  
(a) 0-15
(b) 15-35
(c) 26-45
(d) 46+
(e) None of these

Q11. Out of every 400,000 people, the number of persons below 25 years is (approximately): 
(a) 181,000
(b) 191,000
(c) 194,000
(d) 195,500
(e) None of these

Q12. If it is known that there are 40 million people 36 years of age, then how many million people (approximately) are in the age group of 56-65? 
(a) 4.2 million 
(b) 3.8 million 
(c) 3.15 million 
(d) Cannot be determined 
(e) None of these

Q13. If there are 20 million people in the age group of 56 and above, what is the difference (approximately) between the total number of people in the age group of 16-25 and 45-55?  
(a) 10.2 million 
(b) 11.2 million 
(c) 12.2 million 
(d) Cannot be determined 
(e) None of these

Q14. If the difference between the number of people in the age groups of 46-55 and 26-35 is 3.9 million, then the total population (approximately) of the country is:  
(a) 120 million 
(b) 130 million 
(c) 390 million 
(d) None of these 
(e) None of these

Q15. What is the ratio of the number of people between 15 to 35 and the number of people above 35?  
(a) 2:1
(b) 65:35 
(c) 1:1
(d) None of these 
(e) None of these


Solutions


S1. Ans.(d)
Sol. The data gives brand wise ownership by age, not market share details. Hence, the question cannot be answered.   

S2. Ans.(b)
Sol. 90% of the total BPL sets are over one year old.

S3. Ans.(b)
Sol. 55% of the total BPL sets are over five years old.
35% of the total BPL sets are over 2 years old.
Required % = (55-35)/35 * 100 = 57.14% more

S4. Ans.(c)
Sol. Required answer = 15% of 800,000 = 1,20,000  

S5. Ans.(c)
Sol. Take the weighted average. It can be seen that the approximate ratio of boys to girls is 4 : 1. Hence using alligation, the answer will be
  
S6. Ans.(a)
Sol. Visual ratio comparison question. It is clearly the case of Business Management.  

S7. Ans.(b) 
Sol. (261-160)/160 = 101/160 = 63.1%

S8. Ans.(d)
Sol. 25/85 = 5/17 = 30% (approx.). Hence none of these. 

S9. Ans.(c)
Sol. (611 - 145)/145 = 466/145 = 321.4% 

S10. Ans.(b)
Sol. Visual interpretation of the age groups given, 15 -35 has 35% (65 - 30), which is the max. 

S11. Ans.(b)
Sol. 47.75% of 400,000 = 191000

S12. Ans.(c)
Sol. 65% corresponds of 40 million and correspondingly 5.12% (5.12 = 98.87 - 93.75) corresponds to 3.15 million. 

S13. Ans.(b)
Sol. 6.25% people belong to the age group 56 and above, and this corresponds to 20 million, then 3.5% (difference between the respective age groups referred to) = 11.2 million.

S14. Ans.(b)
Sol. 3% is 3.9 million, hence 100% will be 130 million.  

S15. Ans.(c)
Sol. 35% of the population is between 15-35 and 35% is above 35. Hence the answer is 1:1. 

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