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Ratio and Proportion problems
1. If A's wealth is 4/9 times of B's and C's is 7/6 times of B's, what is the ratio of C's wealth to A's?
Options
A. (8:21)
B. (21:8)
C. (27:14)
D. (14:27)
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Correct Answer: (21:8)
2. What is the fourth proportional to 24, 120 and 22?
Options
A. 110
B. 120
C. 100
D. 90
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Correct Answer: 110
3. The flight fare between two cities is increased in the ratio 9:11. What is the increase (in Rs) in the fare, if the original fare was Rs. 18,000?
Options
A. 22000
B. 3600
C. 4000
D. 20000
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Correct Answer: 4000
4. In what ratio does the point T(x,0) divide the segment joining the points S(-4,-1) and U(1,4)?
Options
A. 1 : 4
B. 4 : 1
C. 1 : 2
D. 2 : 1
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Correct Answer: 1 : 4
5. What is the third proportional to 10 and 25?
Options
A. 125
B. 150
C. 62.5
D. 225
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Correct Answer: 62.5
6. In what ratio does the point T(x, 0) divide the segment joining the points S(5, 1) and U(-1, -2)?
Options
A. 2 : 1
B. 1 : 2
C. 3 : 1
D. 2 : 3
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Correct Answer: 1 : 2
7. What number should be added to each of the numbers 55, 100, 65 and 116, so that the resulting numbers are in continued proportion?
Options
A. 20
B. 10
C. 5
D. 15
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Correct Answer: 20
8. What is the fourth proportional to 336, 288 and 161?
Options
A. 184
B. 115
C. 138
D. 134
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Correct Answer: 138
9. If P : Q : R = 2 : 3 : 5, then what is the value of (P + Q) : (Q + R) : (R + P)?
Options
A. 5:8:7
B. 2:3:5
C. 5:8:10
D. 4:9:25
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Correct Answer: 5:8:7
10. The ratio of the amount of work done by (x-1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5 : 6. Then the value of x is
Options
A. 16
B. 15
C. 17
D. 14
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Correct Answer: 16
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