Directions (1-5): Study the following pie-diagrams carefully to answer these questions:
Number of students studying in different faculties in the years 2001 and 2002 from State X
1. In which faculty there was decrease in the number of students from 2001 to 2002?
(a) None
(b) Arts
(c) Agriculture
(d) Pharmacy
(e) Medicine
Calculation for questions (1–5):
1. (c)
The number of students decreased from 2450 to 2000 in Agriculture.
2. What is the ratio between the number of students studying pharmacy in the years 2001 and 2002 respectively?
(a) 4 : 3
(b) 3 : 2
(c) 2 : 3
(d) 7 : 12
(e) None of the above
2. (d)
Number of students studying Pharmacy in 2001 = 2100
Number of students studying Pharmacy in 2002 = 3600
Required ratio = 2100 : 3600 = 7 : 12
3. What was the approximate percentage increase in the number of students of Engineering from the year 2001 to 2002?
(a) 17
(b) 15
(c) 25
(d) 20
(e) 30
3. (d)
Difference = 7600 – 6300 = 1300
Required percentage increase =1300/6300*100= 20.63 = 20%
4. In the year 2001, the number of students studying Arts and Commerce together is what percent of the number of students studying these subjects together in 2002?
(a) 76
(b) 85
(c) 82
(d) 79
(e) None of the above
4. (b)
Total number of students in Arts and Commerce faculties in 2001
= 4200 + 7700 = 11900
Total number of students in Arts and Commerce faculties in 2002 = 4400 + 9600 = 14000
Required percentage =11900/14000*100= 85%
5. In which of the following faculties the percent increase in the number of students was minimum from 2001 to 2002?
(a) Arts
(b) Science
(c) Commerce
(d) Medicine
(e) Pharmacy
5. (d)
Only on the basis of table, we can say, the percentage increase in Medicine (3.89%) was minimum.
Directions (Q.6-10): Study the following information carefully to answer the questions given below it.
In a school of 2500 students, all the students have enrolled for different games viz. hockey, table-tennis, badminton, football, cricket, chess and carrom. The respective ratio of girls to boys in the school is 3 : 2. 20% of the boys play only cricket. 25% of the girls play table tennis, badminton and carrom only. 26.8% of the boys play only football. The number of girls playing only cricket is 175% of the boys playing the same. The respective ratio of girls to boys playing only chess is 12 : 11. 25.7% of the boys play hockey, table tennis and carrom only. One-fourth of the girls play only badminton. The remaining girls play football and hockey only. The remaining boys play only chess.
Q6. How many students play more than one game?
(a) 850
(b) 862
(c) 732
(d) 670
(e) None of the above
Answer (6-10):
Number of girls =3/5×2500=1500
Number of boys =2/5×2500=1000
Number of boys playing cricket only =20/100×1000=200
Number of girls playing table-tennis, badminton and carrom only =25/100×1500=375
Number of boys playing football only =26.8/100×1000=268
Number of girls playing cricket only =175/100×200=350
Number of boys playing hockey table-tennis and carrom only =25.7/100×1000=257
Number of girls playing badminton only =1/4×1500=375
Number of girls playing chess only =12/11×275=300
Number of girls playing football and hockey only
= 1500 – (375 + 350 + 375 + 300) = 1500 – 1400 = 100
Number of boys play chess only = 1000 – (200 + 268 + 257) = 1000 – 725 = 275
6. (c)
Sol.
Number of students playing more than one game = 375 + 257 + 100 = 732
Q7. The total number of students playing hockey is what per cent of the total number of students in the school?
(a) 25.7
(b) 10.8
(c) 14.28
(d) 21.14
(e) None of the above
7.(c)
Sol.
Number of students playing hockey = 257 + 100 = 357
Hence, required percentage =(357/2500×100)=14.28%
Q8. What is the respective ratio of total number of boys playing chess to the total number of girls playing badminton?
(a) 11 : 30
(b) 13 : 32
(c) 9 : 29
(d) 13 : 29
(e) None of the above
8. (a)
Sol.
Required ratio = 275∶375×2=11:30.
Q9. What is the respective ratio of total number of girls playing chess only to the total number of girls playing cricket only?
(a) 6 : 5
(b) 3 : 2
(c) 9 : 2
(d) 1 : 2
(e) 6 : 7
9. (e)
Required ratio = 300 : 350 = 6 : 7
Q10. The total number of students playing table-tennis is what per cent of the total number of girls in the school?
(a) 39.54%
(b) 25.58%
(c) 42.14%
(d) 38.25%
(e) None of the above
10. (c)
Number of students playing table-tennis = 257 + 375 = 632
Hence, required percentage =(632/1500×100)=42.14%
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