Directions(1-5): Study the following questions carefully to answer the questions given below:
In a school of 2500 students, all the students have enrolled for different subjects viz. maths, biology, chemistry, physics, sanskrit, hindi and english. The respective ratio of girls to boys in the school is 3 : 2. 20% of the boys takes only sanskrit. 25% of the girls take biology, chemistry and english only. 26.8% of the boys take only physics. The number of girls taking only sanskrit is 175% of the boys taking the same. The respective ratio of girls to boys taking only hindi is 12 : 11. 25.7% of the boys take maths, biology and english only. One-fourth of the girls take only chemistry. The remaining girls take physics and maths only. The remaining boys take only hindi.
1. How many students take more than one subject?
A. 850
B. 862
C. 732
D. 670
E. None of the above
2. The total number of students taking maths 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
3. What is the respective ratio of total number of boys taking hindi to the total number of girls taking chemistry?
A. 11 : 30
B. 13 : 32
C. 9 : 29
D. 13 : 29
E. None of the above
A. 11 : 30
B. 13 : 32
C. 9 : 29
D. 13 : 29
E. None of the above
5. The total number of students taking biology 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
Directions(6-10): Find the missing number in the given series:
6. 43, 21.5, _, 32.35, 64.5, 161.25
A. 20.25
B. 21.5
C. 21.75
D. 20.5
E. None of these
7. 32, _, 72, 108, 162
A. 46
B. 42
C. 45
D. 44
E. 48
8. 117, 220, 426, _, 1662
A. 840
B. 848
C. 838
D. 865
E. 876
9. 5, 7, 1, 13, -7, _
A. 25
B. 26
C. 23
D. 24
E. 21
10. 5, 6, 8, 14, _
A. 36
B. 34
C. 35
D. 38
E. 32
ANSWERS
Number of girls =3/5×2500=1500
Number of boys =2/5×2500=1000
Number of boys taking sanskrit only =20/100×1000=200
Number of girls taking biology, chemistry and english only =25/100×1500=375
Number of boys taking physics only =26.8/100×1000=268
Number of girls taking sanskrit only =175/100×200=350
Number of boys taking maths, biology and english only =25.7/100×1000=257
Number of girls taking chemistry only =1/4×1500=375
Number of girls taking hindi only =12/11×275=300
Number of girls taking physics and maths only
= 1500 – (375 + 350 + 375 + 300) = 1500 – 1400 = 100
Number of boys take hindi only = 1000 – (200 + 268 + 257) = 1000 – 725 = 275
1. Number of students taking more than one subject = 375 + 257 + 100 = 732
2. Number of students taking maths = 257 + 100 = 357
Hence, required percentage = (357/2500)×100 = 14.28%
3. Required ratio = 275∶(375×2)=11:30.
4. Required ratio = 300 : 350 = 6 : 7
Hence, required percentage = (632/1500)×100 = 42.14%
6. B
7. E
8. C
9. C
10. D
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