Monday, 7 August 2017

Data Interpretation


Directions (Q.1–5): The following pie chart shows the distribution of Students of Engineering and Arts students enrolled in seven different universities. Read the following questions and answer it carefully.



Q1. What is the total number of students of Engineering and Arts from Both GBTU and CCSU.?
(a) 13824
(b) 14534
(c) 12167
(d) 17576
(e) None of the above

Q2. What will be the ratio of no. of students from Neelkanth of both stream to the no. of students of Arts from HBTI and CCSU?
(a) 82 : 85
(b) 729 : 1089
(c) 829 : 1043
(d) 537:589
(e) None of these

Q3. What will be the difference between the average no of students of Arts from HBTI ,GBTU , Neelkanth & Amity Universities  and  average no of students of Engineering students from top 5 universities according  to no of students enrolled?
(a)  1050
(b) 1193.85
(c) 1123.85
(d) 1089
(e) 1117

Q4. If one-third of engineering students to be enrolled in Galgotia changed their mind and joined Amity University instead. What will be the difference between new central angle of Both Galgotia and Amity University now?
(a) 54.4°
(b) 44.4°
(c) 47.6°
(d) 45.9°
(e) None of the above

Q5. 75% of engineering students passed in first year while 80% of arts students entered into second year. What is the difference between the no. of failed engineering students andtwo-third of passed Arts students? 
(a) 6349
(b) 6400
(c) 6449
(d) 6198
(e) 6000

Directions (Q.6 – 10): Study the following pie chart shows the percentage of the total number of aspirants applied for various Govt. examinations in 2016.



Q6. Average number of aspirants applied for a Govt. exam is approximately how many times the total no. of vacancies?
(a)  39
(b) 32
(c) 35
(d) 38
(e) 41

Q7. If Railways reduces two-fifth of its vacancies, then total vacancies will be reduced by how much percent?
(a)  13.56%
(b) 14.56%
(c) 18.2%
(d)  17%
(e) None of these

Q8. What will be the approximate difference between no of aspirant per post in SSC to the no of aspirant per post in IBPS?
(a) 50
(b) 41
(c) 45
(d) 52
(e) 48

Q9. For each vacancy, 4 will be selected for interview after written exam and one will be finally selected. If no. of vacancies of IBPS increased by 10%. No of aspirant  qualified for Interview for IBPS is approximately how many times the no of aspirant qualified for interview in PSUs and KVS together.
(a)  3
(b) 3.5
(c) 5
(d) 4.5
(e) 2

Q10. Out of all vacancies allocated, 15% of the selected aspirants didn’t join. Hence 8% of the IBPS and 10% of Railways vacancies remain unfulfilled. What is approximate percent of total vacancies remain unfulfilled for IBPS and Railways to the rest of the organisations vacancy which remain unfulfilled.?
(a) 33
(b) 44
(c) 55
(d) 50
(e) 60

Directions (Q.11-15): Study the following table and bar graph to answer the questions given below it.
Percentage of appeared and qualified candidates in a competitive examination from different institutes



Q11. What is the ratio of the qualified candidates from institutes A, B and C together to the appeared candidates from institutes D, E and F?
(a) 52 : 225
(b) 26 : 125
(c) 125 : 26
(d) 13 : 200
(e) None of these

Q12. What per cent of the candidates from institute ‘E’ has been declared qualified out of the total candidates appeared from this institute?
(a) 16%
(b) 26%
(c) 16.66%
(d) 18%
(e) None of these

Q13. What is the approximate percentage of students qualified w.r.t. to those appeared from the institutes B and C together?
(a) 20
(b) 21
(c) 22
(d) 23
(e) 24

Q14. Which institute has the highest percentage of candidates qualified w.r.t. to those appeared?
(a) A
(b) B
(c) C
(d) D
(e) None of these

Q15. What is the average number of appeared candidates from the institutes A, B and F together?
(a) 19800
(b) 2200
(c) 6600
(d) 8600
(e) None of these

Solutions




















Missing Data Interpretation


Directions (Q.1–5) Study the table and answer the given questions.
Data related to candidates appeared and qualified from a state in a competitive exam during 5 years

Years No. of appeared candidates % of  appeared candidates who qualified Respective ratio of number of qualified male & female candidates

Years
No. of appeared candidates
% of  appeared candidates who qualified
Respective ratio of number of qualified male & female candidates
2011
700
––
3 : 2
2012
––
––
5 : 3
2013
480
60%
––
2014
––
42%
9 : 5
2015
900
64%
––

Q1. In 2015, if the number of female qualified candidates was 176, what was the respective ratio of number of male qualified candidates and number of female qualified candidates in 2015 ?
(a) 25 : 16
(b) 5 : 4
(c) 25 : 11
(d) 21 : 16
(e) None of these

Q2. The number of appeared candidates increased by 40% from 2011 to 2016. If 25% of the appeared candidates qualified in 2016, what was the number of qualified candidates in 2016?
(a) 240
(b) 225
(c) 255
(d) 245
(e) None of these

Q3. In 2012, the respective ratio of number of appeared candidates to the qualified candidates was 5:4. Number of female qualified candidates constitutes what per cent of number of appeared candidates in the same year?
(a) 20
(b) 25
(c) 30
(d) 15
(e) 40

Q4. In 2014, if the difference between number of male qualified candidates and female qualified candidates was 72, what was the number of appeared candidates in 2014?
(a) 800
(b) 900
(c) 850
(d) 600
(e) None of these

Q5. If the average number of qualified candidates in 2011 and 2013 was 249, what percent of appeared candidates qualified in the competitive exam in 2011?
(a) 40
(b) 30
(c) 20
(d) 35
(e) 25

Directions (Q.6-10): A dealer purchased 6 old washing machines of 6 different companies from OLX and sold them in market. Given below is the data showing cost price, selling price and profit/loss percentage. 



Washing Machines
C.P. (in Rs.)
Profit%
Loss%
S.P. (in Rs.)
Samsung
9375
7968.75
LG
14%
21375
Videocon
12325
18%
Godrej
10385
14019.75
Panasonic
24%
5022
Whirlpool
14360
12924



Q6. Cost price of Panasonic washing machine is what percent of selling price of Videocon washing machine? (approximate) 
(a) 38%
(b) 40%
(c) 42%
(d) 44%
(e) 46%

Q7. If there have been a profit of 18% on Videocon washing machine instead of 18% loss, then the new S.P. is how much more than the original S.P. ?
(a) 4439
(b) 4429
(c) 4427
(d) 4437
(e) None of these 

Q8. Profit percentage on Godrej washing machine is what percent more/less than profit percentage on LG washing machine?  
(a) 50% more
(b)150% more
(c) 250% more
(d) 50% less
(e) 150% less

Q9. What is the ratio between loss percentage of Whirlpool washing machine to loss percentage of Samsung washing machine ?
(a) 2 : 3
(b) 3 : 2
(c) 3 : 5
(d) 2 : 5
(e) None of these 

Q10. What is the overall profit/loss percentage? (approximate) 
(a) 2.1% profit
(b) 3.1% profit 
(c) 4.1% profit
(d) 3.1% loss
(e) 2.1% loss

Directions (Q.11-15): In following questions two equations are given. Solve the equations and give answer
(a) if x<y
(b) if x>y
(c) if x≤y
(d) if x≥y
(e) if x=y or no relation can be established



Solutions
S1. Ans.(c)
Sol.
No. of qualified candidates in 2015
= 64 × 9 = 576
 ∴no.of  males=576-176=400
 ∴Required Ratio=400∶176=25∶11

S2. Ans.(d)
Sol.
No. of appeared candidates in 2016
=140/100×700 = 980
Required no. of candidates =  25/100×980= 245

S3. Ans.(c)
Sol.
Let appeared candidates in 2012 = 500
∴ Let qualified candidates in 2012 = 400
∴ No. of female qualified in 2012 =3/8×400=150
 ∴Required %=150/500×100=30%

S4. Ans.(d)
Sol.
Let no. of males qualified in 2014 = 9x
∴ No. of females qualified in 2014 = 5x
∴9x-5x=72
x = 18
 ∴No.of candidates qualifed in 2014=14x=14×18=252
∴Required no.of candidates=252/42×100 = 600

S5. Ans.(b)
Sol. let candidate who qualified in 2011 = x
Candidate who qualified in 2013 = 480 ×0.6=288
X = 498-288=210
Required percent = 210/7 = 30%






S10. Ans.(b)
Sol.
Overall cost price of all washing machines together 
=9375+18750+12325+10385+4050+14360=69245
Overall selling price of all washing machines together 
=7968.75+21375+10106.5+14019.75+5022+12924=71416
Profit percentage =(71416-69245)/69245×100≈3.1% profit 








Data Interpretation



Directions (Q1-5): Study the following pie-chart and table carefully and answer the questions given below:
Percentage distribution of the number of cars sold by a dealer during six months. Dealer sells cars of only two companies i.e. Company A and Company B






The respective ratio between the number of cars sold of company A and B during six months

Month
Ratio
A : B
January
8 : 9
February
6 : 5
March
3 : 2
April
5 : 3
May
4 : 5
June
7 : 9

Q1. What is the total number of cars sold of company B during April and March together?
(a) 2340
(b) 3240
(c) 2153
(d) 1950
(e) None of these

Q2. The number of Cars sold of company A during February is what percent of the number of Cars sold of company A during May?
(a) 210
(b) 240
(c) 250
(d) 225
(e) 180

Q3. What is the respective ratio between the number of Cars sold of company B during March and those sold during June of the same company?
(a) 9 : 10
(b) 10 : 9
(c) 72 : 25
(d) 25 : 72
(e) None of these

Q4. If 20% of the Cars sold of company A during May were sold at a discount, how many Cars of company A during that month were sold without a discount?
(a) 882
(b) 1635
(c) 1728
(d) 678
(e) None of these

Q5. If the dealer earned a profit of Rs. 25000 on each car sold of company B during June, what was his total profit (in lakhs) earned on the Cars of that company during the same month?
(a) 450
(b) 4050
(c) 405
(d) 4500
(e) None of these

Directions (Q6-10): Study the following Pie chart carefully and answer the questions given below. 
Cost estimated by Gagan for various expenditures to be made by him in his sister’s marriage.


Q6. During the marriage ceremony Gagan actually incurs expenditure on E of Rs. 20,400. The actual expenditure on E incurred by Gagan is what percent of the total estimated cost?
(a) 9.5
(b) 9
(c) 8.5
(d) 10.5
(e) None of these

Q7. Other than getting a discount of 12% on the estimated cost for D and the actual expenditure on E of Rs. 20,400 instead of the estimated, Gagan’s estimated cost is correct. What is the total expenditure of Gagan in marriage ceremony ?
(a) 237456
(b) 231852
(c) 239000
(d) 233000
(e) None of these

Q8. What is the difference in the amount estimated by Gagan for A and H (In Rs.)?
(a) 20,000
(b) 19000
(c) 14400
(d) 18000
(e) None of these

Q9. What is the cost estimated by Gagan for B and C together (In Rs.)?
(a) 73000
(b) 69600
(c) 72,000
(d) 69000
(e) None of these

Q10. Gagan get a discount on D and pays 12% less than the estimated cost for it. What is the amount spent on D (In Rs.)?
(a) 26400
(b) 29052
(c) 27052
(d) 27456
(e) None of these

Directions (Q11-15): In each of these questions two equations are given. You have to solve these equations and give answer. 
(a) if x<y
(b) if x>y
(c) if x=y
(d) if x≥y
(e) if x≤y



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Solutions





S4. Ans.(e)
Sol. Number of cars sold of company A during May = 4/9  of 12% of 18000 = 960
Number of cars sold without discount in May = 80% of 960 = 768

S5. Ans.(c)
Sol. Number of cars sold of company B during June = 9/16  of 16% of 18000 = 1620
Total profit = 25000 × 1620 = 405 lakhs

S6. Ans.(c)
Sol. Required percentage =  = 8.5

S7. Ans.(a)
Sol. Estimated cost for E = 8% of 240000 = 19200 
Total expenditure of Gagan = 240000 – 19200 + 20400 – 12% of 13% of 240000 = 237456

S8. Ans. (e)
Sol.  Required difference = (19-11)% of 240000 = 19200

S9. Ans.(b)
Sol. Required cost = (15+14)% of 240000 = 69600

S10. Ans.(d)
Sol. Amount spent on D = (100 - 12)% of 13% of 240000 = 27456