**Data Interpretation & Data Sufficiency Questions For competitive exams : 09-09-2019**

**Direction (1-5) the following pie – chart represent the number of children born in five different states in a day.**

**Total number of children born in a day in five states = 24000**

**The table chart shows the ratio of boys to girls.**

**Q.1 What is the difference between the total number of girls born in Karnataka, Odisha and Maharashtra together and the total number of boys in Punjab and Kerala together?**

(1) 4260

(2) 4040

(3) 3896

(4) 3980

(5) 4242

**Q.2 What is the ratio between the total number of boys born in Karnataka and Maharashtra together and the total number number of girls in the same states?**

(1) 313:251

(2) 317:253

(3) 297:231

(4) 301:263

(5) None of these

**Q.3 The total sum of 25% of boys born in Odisha and 30% of girls born in Kerala together is approximately what percent of the total children born in Punjab?**

(1) 30%

(2) 27%

(3) 32%

(4) 28%

(5) 26%

**Q.4 The total number of girls born in Odisha and Punjab together is approximately what percent more than the number of boys born in Karnataka?**

(1) 123%

(2) 117%

(3) 119%

(4) 113%

(5) 121%

**Q.5 What is the average of number of boys born in all given states?**

(1) 2800

(2) 2580

(3) 2650

(4) 2700

(5) None of these

**Direction Q.(6-10) Read the following bar graph carefully and answer the questions given below.**

**Bar graph shows number of boys enrolled in different hobby classes in various institutes in a year.**

**Q.6 What is the average number of boys enrolled in singing class in all given institutes?**

(1) 345

(2) 287

(3) 384

(4) None of these

(5) 291

**Q.7 The total number of boys enrolled in dancing class in all given institutes together is approximately what percent of the total number of boys enrolled in swimming class in all given institutes together?**

(1) 91%

(2) 93%

(3) 89%

(4) 95%

(5) 94%

**Q.8 What is the ratio between the total number of boys enrolled in singing class in the institutes S and Q together and the total number of boys enrolled in swimming class in the institutes R and T together?**

(1) 37:28

(2) 43:31

(3) 39:25

(4) 31:22

(5) None of these

**Q.9 The total number of boys enrolled in dancing class in the institutes Q, S and T together is what percent more than the total number of boys enrolled in singing class in the institutes P and R together?**

(1) 84%

(2) 76%

(3) 85%

(4) 80%

(5) 82%

**Q.10 What is the respective ratio of total number of boys enrolled in swimming, singing and dancing class from all given institutes?**

(1) 91:98:96

(2) 96:91:98

(3) 98:91:96

(4) None of these

(5) 98:96:91

__Solutions:__

**Ans.1(2)** Required difference = 24000×

[((15× 5/12+24×7/16+32× 11/24)%-(18× 14/27+11× 21/44) )] %

= 24000 [(25/4+ 21/2+ 44/3)-(28/3+ 21/4)] %

= 24000 [377/12-175/12] %

= 24000 × 202/(12×1000) = 4040

**Ans.2(1)** Required ratio = ((15× 7/12+32× 13/24))/((15× 5/12+32× 11/24) )

= (35/4+52/3)/(25/(4 )+ 44/3) = (((105+208))/12)/(((75+176))/12) = 313/251

= 313:251

**Ans.3(4)** Required % = ((24× 9/16× 25/100+11× 23/(44 )× 30/100))/18×100

= ((27/8+ 69/40))/18 × 100 ((204/40))/(18 ) × 100

= 51/(18×10)×100 =28.33% = 28 %

**Ans.4(3)** Required % =

( (24× 7/16+ 18× 13/27)-(15×7/12))/((15×7/12) )×100

= ((230/12- 105/12))/(105/12) × 1000

= 125/105×100 =119.04% = 119%

**Ans.5(5)** Required average =

( 2400× [24×9/16+18×14/27+32×13/24+11×21/44+15× 7/12]%)/5

= (24000× 650/(12×100))/5

= 13000/5 2600

**Ans.6(4)** Required average =

(420+330+370+410+390)/5

= 1920/5 384

**Ans7(2)** Required % =

((360+390+290+470+310))/((480+430+260+490+300 ) )×100

=1820/1960×100=92.85% = 93%

**Ans.8(1)** Required ratio = (410+330)/(260+300)

= 740/560 = 37/28 = 37:28

**Ans.9(4)** Required % =

((390+470+310)-(360+290))/((360+290) )×100

= (1170-650)/650 × 100

= 520/650 × 100 = 80%

**Ans.10(5)** Required ratio = 1960:1920:1820

= 98:96:91