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UGC NET
DAILY
CLASS NOTES
Paper 1
Mathematics
Lecture – 2
Concepts of Ratio and Proportion
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Ratio and proportion
Q1. If 0.75: x :: 15:18, then x is equal to:
A. 0.5
B. 1.6
C. 0.9
D. 1.30
Q2. The ratio of A’s salary to B’s was 4 : 5. A’s salary is increased by 10% and B’s by
20%, what is the ratio of their salaries now?
A. 13:11
B. 10:14
C. 11:15
D. None of these
Q3. The compounded ratio of (2 : 3), (6: 11) and (11 :2) is
A. 1:2
B. 2:1
C. 11:24
D. 36:121
Q4. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There
is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the
ratio of increased seats?
A. 2:3:4
B. 6:7:8
C. 6:8:9
D. None of these
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Q5. In college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the
total number of students in the college is
A. 100 B. 250
C. 260 D. 416
Q6. The weights of a and b are in the ratio 2:3 and weights b and c are in the ratio 4:3. What is
the weight of b if the sum of the weights of a, b and c is 203 kg?
A.84 B. 83
C. 82 D. 85
Q7. Find the third proportional to 6 and 12.
A. 18
B. 9
C. 24
D. 15
Q8. What is the fourth proportional to 336, 288 and 161?
A. 184
B. 115
C. 138
D. 134
Q9. If the three numbers in the ratio 3:2:5 be such that the sum of the squares is equal to
1862 then which number is the middle one.
A. 16
B. 14
C. 13
D. 15
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Q10. Sanjay's test marks in two subjects, English and Hindi are in the ratio 7 : 11. If he
got 20 marks more in Hindi than in English, what are his marks in English?
A. 35
B. 55
C. 45
D. 65
Q11. If 76 is divided into four parts proportional to 7, 5, 2, 5, then the smallest part is:
A. 12
B. 15
C. 6
D. 8
Q12. A mixture contains alcohol and water in the ratio 8:5. If 20 liters of water is added to
the mixture, the ratio becomes 8:10. Find the quantity of alcohol in the given mixture.
A. 8 Liters
B. 10 Liters
C. 18 Liters
D. 32 Liters