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