Ratio & Proportion
Q1. Rs. 10000 are divided among three workers in the ratio 2:3:5. The share of second worker is:
1) 2560 2) 3000 3) 3200 4) 3840 5) None
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Q2. If A: B=4:5 and B:C = 3:9, then A:B:C = ?
1) 4:5:15 2) 4:5:9 3) 7:9:13 4) 7:13:14 5) None
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Q3. If A:B=3:4, B:C = 5:6, C:D= 11:9 then A:D= ?
1) 50:60 2) 45:50 3) 60:70 4) 55:72 5) None
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Q4. A/B = B/C = C/D = 1/3 Find A:B:C:D
1) 1:3:9:27 2) 6:3:9:27 3) 1:3:6:9 4) 3:6:9:27 5) None
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Q5. If x:y = 3:4, then (7x+3y):(7x-3y)=?
1) 4:3 2) 5:2 3) 11:3 4) 37:19 5) None
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Q6. If 2A = 3B = 4C, then A:B:C = ?
1) 2:3:4 2) 6:4:3 3) 3:2:6 4) 3:4:6 5) None
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Q7. If 2A = 3B and 4B = 5C, then A:C = ?
1) 3:5 2) 8:15 3) 15:8 4) 4:3 5) None
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Q8. If 1/3 A = 1/4B = 1/5C, then A:B:C =?
1) 3:4:5 2) 4:3:5 3) 5:4:3 4) 6:4:5 5) None
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Q9. If 15% of A = 20% of B, then A:B=?
1) 3:4 2) 4:3 3) 17:16 4) 16:17 5) None
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Q10. If A exceeds B by 40% and B is less than C by 20%, then find the value of A:C=?
1) 3:1 2) 3:2 3) 26:25 4) 28:25 5) None
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Q11. The ratio between two numbers is 3:4. If each number is increased by 6, the ratio becomes 4:5. The difference between the numbers is:
1) 1 2) 3 3) 6 4) 8 5) None
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Q12. Rs. 1360 have been divided among A,B,C such that A gets 3 times of what B gets and B gets 4 times of what C gets. Then, B’s share is :
1) 160 2) 120 3) 150 4) 180 5) None
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Q13. A bag contains Rs. 216 in the form of one rupee, 50 paisa and 25 paisa coins in the ratio of 2:3:4. The number of 50- paisa coins is
1) 96 2) 114 3) 141 4) 144 5) None
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Q14. Divide Rs. 1320 among 7 men, 11 women and 5 boys such that their shares are in the ratio 2:1:3 respectively. Find how much each woman receives
1) 24 2) 35 3) 46 4) 33 5) None
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Q15. Rs. 355 were divided among A, B, C in such a way that A had Rs. 20 more than B and C had Rs. 15 more than A. How much was C’s share?
1) 100 2) 120 3) 135 4) 150 5) None
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Q16. The ratio of the number of students studying in schools A, B and C is 5:6:8. If the number of students in each of the schools in increased by 30%, 25% and 25% respectively, what will new ratio of the students in schools A, B and C?
1) 14:15:20 2) 13:15:20 3) 13:14:15 4) 15:17:19 5) None
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Q17. Two whole numbers whose sum is 64, cannot be from the following ratios
1) 5:3 2) 7:1 3) 3:4 4) 9:7 5) None
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Q18. 94 is devided into two parts in such a way that fifth part of the first and eighth part of the second are in the ratio 3:4. The first part is:
1) 27 2) 30 3) 36 4) 48 5) None
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Q19. Find the mean proportion of 4, 9?
1) 6 2) 8 3) 12 4) 36 5) None
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Q20. Find the third Proportion of 6, 24 ?
1) 30 2) 48 3) 96 4) 36 5) None
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Q21. Find the Fourth Proportion of 8, 24, 36 ?
1)108 2)72 3) 144 4)64 5) None
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Q22. A boy 1.4m tall casts a shadow 1.2 m long at the time when a building casts a shadow 5.4 m long. The height of the building is (in metres):
1) 4.6 2) 5.3 3) 6.3 4) 7.2 5) None
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Q23. Alloys A and B contain zinc and tin in the proportion 5:3 and 7:5 respectively. Two alloys of equal weights are melted to form a third alloy C, what is the ratio of zinc and tin in that alloy.
1) 7:5 2) 29:19 3) 19:29 4) 15:17 5) None
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Q24. What least number should be subtracted to each of four numbers 11, 15, 21, 30 to make them in continued proportion
1) 1 2) 2 3) 3 4) 4 5) None
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Q25. What least number should be added to each of the four numbers 6,14,18,38, to make them proportional?
1) 1 2) 2 3) 3 4) 4 5) None
Q26. The ratio of boys and girls in a school is 3:2. When 6 more girls join this ratio becomes 6:7. How many boys are there in the school?
1) 24 2) 30 3) 42 4) 12 5) None
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Q27. The ratio of Mona’s and Vikas’s present ages is 9:10. After 4 years the ratio of their ages becomes 11:12. What is Mona’s present age?
1) 18 yrs 2) 22 yrs 3) 20 yrs 4) 23 yrs 5) None
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Q28. A man age was 5 times his son’s age 5 years ago and will be three times his son’s age after 3 years. The ratio of their present ages is:
1) 5:2 2) 45:13 3) 10:3 4) 11:5 5) None
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Q29. The monthly incomes of A and B are in the ratio 2:3 and their monthly expenses are in the ratio 5:9. If each of them saves Rs. 600 per month then their monthly incomes are:
1) Rs.1500, Rs.2250 2) Rs.1200 Rs. 1800
3) Rs. 1600, Rs. 2400 4) Rs. 1400, Rs. 2100
5) None of these
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Q30. If 1/x: 1/y: 1/z=2:3:5, then x:y:z =?
1) 2:3:5 2) 15:10:6 3) 5:3:2 4) 6:10:15 5) None
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Q31. If 3a+5b/3a-5b=5, then a:b =?
1) 2:1 2) 3:2 3) 5:2 4) 5:3 5) None
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Q32. If a:b = c:d = e:f = 1:2, then (3a+5c+7e):(3b+5d+7f)=?
1) 1:2 2) 1:4 3) 2:1 4) 8:7 5) None
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Q33. What number has to be added to each term of 3:5 to make the ratio 5:6?
1) 6 2) 7 3) 12 4) 13 5) None
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Q34. Some money is divided among A,B and C in such a way that 5 times A’s share, 3 times B’s and 2 times C’s share are all equal. The ratio between the shares of A, B, C is:
1)5:3:2 2)2:2:5 3)15:10:6 4)6:10:15 5) None
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Q35. Divide Rs. 425 is divided among 4 men, 5 women and 6 boys such that the share of a man, a woman and a boy may be in the ratio of 9:8:4. What is the share of woman?
1) 44 2)34 3) 38 4) 49 5) None
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Q36. Divide Rs. 1540 among A, B, C so that A shall receive 2/9 as much as B and C together, and B receive 3/11 of what A and C together do. Find the difference between A and B’s share?
1) 60 2) 50 3) 40 4)70 5) None
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Q37. How many one-rupee coins, fifty paisa coins and twenty-five paisa coins of which the numbers are proportional to 2.5, 3 and 4, are together worth Rs. 210.
1) 105,126,168 2) 110, 148, 170
3) 114, 152, 172 4) 125, 225, 325 5) None
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Q38. A vessel contains liquids A and B in ratio 5:3. If 16 litres of the mixture are removed and the same quantity of liquid B is added, the ratio becomes 3:5. What quantity of mixture does the vessel hold ?
1) 30 2)40 3)35 4)50 5) None
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Answers
1) 2 2) 1 3) 4 4) 1 5) 3 6) 2
7) 3 8) 1 9) 2 10) 4 11) 3 12) 5
13) 4 14) 4 15) 3 16) 2 17) 3 18) 2
19) 1 20) 3 21) 1 22) 3 23) 2 24) 3
25) 2 26) 4 27) 1 28) 2 29) 3 30) 2
31) 3 32) 1 33) 2 34) 4 35) 2 36) 2
37) 1 38) 2
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