Ratios and Proportions
1. If a:b = 3:4 and b:c = 5:6, what is a:c?
A. 5:8
B. 5:9
C. 9:10
D. 15:24
A. 5:8
2. The ratio of A's age to B's age is 4:5. After 6 years, the ratio becomes 5:6. What is A's current age?
A. 20 years
B. 24 years
C. 30 years
D. 36 years
B. 24 years
3. If 15:20::18:x, what is the value of x?
A. 22
B. 24
C. 26
D. 28
B. 24
4. In what ratio should rice costing ₹20/kg be mixed with rice costing ₹30/kg to get a mixture worth ₹25/kg?
A. 1:2
B. 2:1
C. 3:1
D. 1:1
D. 1:1
5. The ratio of salaries of A and B is 3:4. If A's salary increases by 20% and B's by 10%, what is the new ratio?
A. 8:11
B. 9:11
C. 10:11
D. 11:12
B. 9:11
6. If a:b = 2:3, b:c = 4:5, and c:d = 6:7, what is a:b:c:d?
A. 16:24:30:35
B. 16:24:32:40
C. 16:24:30:42
D. 16:24:36:42
A. 16:24:30:35
7. ₹1200 is divided among A, B, C in the ratio 2:3:5. How much does B get?
A. ₹200
B. ₹300
C. ₹360
D. ₹400
C. ₹360
8. If 15 workers can build a wall in 12 days, how many days will 20 workers take?
A. 8 days
B. 9 days
C. 10 days
D. 11 days
B. 9 days
9. If 40% of a number is equal to 60% of another number, what is the ratio of the first to the second number?
A. 2:3
B. 3:2
C. 3:4
D. 4:3
B. 3:2
10. The compound ratio of 2:3 and 4:5 with 6:7 is:
A. 12:35
B. 16:35
C. 18:35
D. 24:35
B. 16:35