Quants Questions : Data Interpretation Set 18

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I. Study the following information to answer the given questions

       In a School, 150 students of 12^th are enrolled. The ratio of boys and girls is 7:8. There are 3 groups such as Biology, Computer Science and History. In Biology  there are 50% girls of their total number and the boys are 40% of their total number, In Computer Science girls are 30% of their total number and boys are 30% of their total number. History girls 20% of their total number and boys 30% of their total number.

        7 boys and 9 girls are in Computer Science and Biology both. 6 boys and 7 girls are in  Computer Science and  History both.5 boys and 8 girls are in Biology and History both. 2 boys and 3 girls are enrolled in all the 3 group.

1. Find the ratio of boys and girls only in Biology ?
   A)13:9
   B)9:13
   C)9:11
   D)7:10
   E)None of these
   
   Answer

   B)9:13
   Explanation :
   Boys : Girls = 7:8 = 70:80
   Biology B = 40*70/100 = 28;   G =50*80/100 = 40
   CS B = 30*70/100= 21;           G= 30*80/100 = 24
   History B = 30*70/100 = 21;   G= 20*80/100 = 16
   CS + Biology => B = 7 ;           G = 9
   CS + History => B = 6 ;           G = 7
   Biology + History => B = 5 ;    G = 8
   Biology B:G =18:26 = 9:13
    
   
   
2. What % of GIRLS are enrolled in all the 3 disciplines ?
   A)4
   B)3.3
   C)2
   D)3
   E)None of these
   
   Answer

   C)2   
   Explanation :
   G = 3
   % = 3*100/150 = 2
   
   
   
3. The number of girls enrolled in  Computer Science only ?
   A)21
   B)24
   C)10
   D)11
   E)None of these
   
   Answer

   D)11
   
   
   
4. The no of boys in Biology is how much % more than the no of girls in Computer Science ?
   A)16.67%
   B)16.64%
   C)14.66%
   D)12.67%
   E)None of these
   
   Answer

   A) 16.67%
   Explanation :
   B =28  G = 24
   4*100/24 = 16.67
   
   
   
5. Find the average no of boys in all the three groups ?
   A)23.32
   B)23.33
   C)23.43
   D)24.44
   E)None of these
   
   Answer

   B)23.33
   Explanation :28+21+21/3 = 23.33
   
   
   

II. Study the following information to answer the given questions

1. How many students have scored the highest marks in more than one subjects ?
   A)None
   B)One
   C)Two
   D)Three
   E)Four
   
   Answer

   C)Two
   Explanation :
   Balu : 96   92
   Dinesh : 90     88
   
   
   
2. How many marks did Chinna get in all the subjects ?
   A)405
   B)440
   C)540
   D)450
   E)None of these
   
   Answer

   D)450
   Explanation :76+66+78+88+72+70 = 450
   
   
   
3. What are the average marks obtained by all the students in Maths ?
   A)77
   B)76
   C)67
   D)70
   E)None of these
   
   Answer

   A)77
   Explanation :(88+84+78+96+68+50)/6 = 464/6 = 77.33 = 77
   
   
   
4. Find an aggregate percentage of Easwar ?
   A)46%
   B)64%
   C)44%
   D)66%
   E)None of these
   
   Answer

   B)64%
   Explanation :
   64+70+68+72+68+74 = 416
   Total = 650
   % = 416*100/650 = 64%
   
   
   
5. Who have scored lowest total marks in all the subjects together ?
   A)Dinesh
   B)Faiz
   C)Easwar
   D)Balu
   E)None of these
   
   Answer

   B)Faiz
   Explanation :

   Akilesh    66+75+88+56+56+90 = 431 Balu         82+76+84+96+92+88 = 518 Chinna    76+66+78+88+72+70 = 450 Dinesh     90+88+96+76+84+86 = 520 Easwar    64+70+68+72+68+74 = 416 Faiz          48+56+50+64+64+58 = 340