**Data Interpretation & Data Sufficiency Questions For competitive exams : 29-08-2019**

**Direction Q.(1-5 ) In the following line graph time taken to travel (In hours) by five cars on different days**

**Q.1 What is the difference between the sum of speeds of car Q on day 1 and car T on day 2 together and the sum of speeds of car P on day 2 and Car S on day 1 together?**

(1) 3 km/hr

(2) 2 km/hr

(3) 5 km/hr

(4) 4 km/hr

(5) None of these

**Q.2 Which car travelled at the same speed on both the days?**

(1) P

(2) Q

(3) S

(4) R

(5) T

**Q.3 What is the ratio between the sum of speeds of car P and car R together on day 1 and sum of speeds of and car R and car T together on day 2?**

(1) 1:1

(2) 3:4

(3) 8:9

(4) 9:10

(5) 7:8

**Q.4 The distance travelled by car P on both days together is approximately what percent more/less than the distance travelled by car R on both days together?**

(1) 18% less

(2) 16% less

(3) 14% less

(4) 17% less

(5) 18% more

**Q.5 What is the sum of speeds of car R on both days in meter per second?**

(1) 7.5m/s

(2) 11 1/3 m/s

(3) 8.5m/s

(4) 8 1/3 m/s

(5) 9 1/3 m/s

**Directions Q.(6-10) Study the pie chart carefully and answer the questions given below.Pie – Chart shows the percentage distribution of the number of passengers in different trains.**

**Total Number of passengers = 72000**

**Q.6 If in train ‘V’ 42% of the passengers are males and 23% are children, what is the number of females in that train?**

(1) 3296

(2) 2880

(3) 3156

(4) 3024

(5) None of these

**Q.7 The total number of passengers in train ‘U’ and train ‘R’ together is approximately what percent more than the total number of passengers in train ‘Q’ and train ‘P’ together?**

(1) 81%

(2) 77%

(3) 73%

(4) 79%

(5) 76%

**Q.8 What is the average number of passengers in train ‘S’ train ‘V’, train ‘T’ and Train ‘P’.**

(1) 9540

(2) 9900

(3) 9180

(4) 9000

(5) None of these

**Q.9 What is the difference between the total number of passengers in train ‘U’ and train ‘Q’ together and the number of passengers in train ‘R’?**

(1) 9260

(2) 9380

(3) 9440

(4) 9160

(5) None of these

**Q.10 Number of passengers in train ‘S’ is approximately what percent of the total number of passenger in train ‘T’ and train ‘Q’ together?**

(1) 86%

(2) 87%

(3) 83%

(4) 84%

(5) 88%

__Solutions:__

**Ans.(1-5)**

**Ans.1(5)** Speed of car Q on day 1+ speed of car T on day 2

= 15 + 15 = 30 kmph

Speed of car P on day 2+ speed of car S on day 1

= 15 + 14 = 29 kmph

= Difference = 30 – 29 = 1 kmph

**Ans.2(3)** From the table option (3) is correct.

**Ans.3(1)** Ratio =

**Ans.4(2)** distance travelled by car P on both days

= 210 + 171 = 381 km

distance travelled by car R on both days

= 32 4 + 132 = 456

Required %=

**Ans.5(4)** Sum= (18 + 12) km/hr =30km/hr

**Ans.6(4)** Required number of females

= 72000x 12/100 x (100-42-23)/100= 3024

**Ans.7(2)** Required % = (22+17)-(8+14)/(8+14)×100

= (39-22)/22 ×100

= 1700/22 = 77.27% = 77%

**Ans.8(1)** Required average = (72000×(16+12+11+14)/100×4

= 9540

**Ans.9(5)** Required difference = 72000 × ([(22+8)-17])/100

= 720×13 = 9360

**Ans.10(4)** Required % = 16/(11+8)×100 = 1600/19 = 84.21=84%