Ratio and Proportion - Handout 1

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 Ratio and Proportion - 1


1)    The compound ratio of 4:5, 7:8 and 10:21 is:

a)1:1          b) 4:7               c)  7:4               d)  1:3

2)    What is the mean proportion between 81 and 49

a)63           b)81                  c)9                    d)16

3)    Find the mean proportion between234 and 104 ?

a)60                        b)156               c)81      d)128

4)    Find the third proportion to3&9

a)27           b) 15                 c) 12                 d)18  

5)    What is the  third proportion to 18 and 12

a)10           b) 11                 c) 12                 d)8

6)    Find the fourth proportion of 8,12,6

a)15            b) 4                  c) 9                  d) 7  

7)    Find the fourth proportion to3/2, 3/4, 5/6

a)    5/12    b) 12/5              c) 15/11              d) 11/15  

8)    What number should be added to each 6,14,18 and 38 , so that the resulting numbers make a proportion?

a)1             b)2                   c)3                    d)4

9)    When x is subtracted from the numbers 9,15,27 remainders are in continued proportion. What is x?

a)4             b)5                   c)3                   d)7

10)  The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is

a)2:1          b)5:1                c)7:15               d)9:14

11)  A:B = 5:7, B:C = 7:11,  then A:B: C =?

4:5:11         b)3:5:7             c)5:7:11           d)11:7:5

12)  If a:b=2:3, b:c=5:6, then find a:c=

a)    2:5       b) 1:2                           c) 5:9               d) 2:3  

13)  If a : b = 3 : 7, b : c = 7 : 9, then a : b : c = ?

a) 3 : 5 : 6  b) 3 : 5 : 6        c) 21:49:63      d) None

14)  A:B = 3:4, B:C = 5:7, C:D = 8:15 then A:D= ?

a)    3:7      b)2:7                c)5:6                 d)3:5

15)  A:B=3:4, B:C=2:3 and C:D= 8:5 then            A :D ?

a)4:5          b)5:4                c)8:5                 d)3:5   

16)  ½  P = 1/3 Q =1/5 R , then P:Q:R ?

a)2 :3 :5     b)3:2:1              c)5:3:1              d)None

17)  If 3A = 7B, the A:B = ?        

a)3:4          b) 4:3               c) 7:3               d) 4:7  

18)  2A=3B=5C then A:B:C?

a)15:10:6  b)2:3:5              c)5:3:2             d)3 :4 :6

19)  2/3 A = ¾ B=4/5 C  , the A:B:C ?

a)15:16:18  b)18:16:15       c)4:7:8              d)12:9:8

20)  If 15% of A is the same as 25% of B, then A:B is

a)    10:6    b) 2:1                           c) 1:2               d) 2:3

21)  If a:b  =3:2  , then the value of (3a+2b) : (2a+3b) is

a)13/12     b)12/13             c)15/11             d)11/15

22)  The ratio of  43.5 : 25  is same as

a)4:1          b)2:1                c)1:2     d)None of these

23)  If a:b:c  = 2:3:4 and 2a- 3b +4c= 33, then the value of c is

a)6             b)9                   c)12                 d)14

24)  Three numbers are in the ratio ½:2/3:¾. The difference between the greatest and smallest numbers is 36. The numbers are

a)72,84,108 b)60,72,96   c)72,84,96     d)72,96,108

25)  Three numbers are in the ratio 3:4:5. The sum of the largest and the smallest equals the sum of the second and 52.The smallest number is

a)20            b)27                  c)39                 d)52

26)  Five pens and four pencils cost as much as three pens and seven pencils. The ratio of the cost one pen to that of one pencil is :

a)2:3          b)3:2               c)5:4                  d)4:7

27)  Production of company A is 120% of the production of company B and 80% of the production of company C . What is the ratio of productions of companies A,B and C?

a)6:5:9       b)6:5:4 c)12:10:15       d)10:12:15

28)  Ratio of the earnings of A and B is 4:7 respectively. If the earnings of A increase by 50% and the earnings of B decrease by 25%, the new ratio of their earnings becomes 8:7 respectively. What are A’s earnings?

a)26000      b)28000            c)21000 d)Data inadequate

29)  The sum of two numbers is equal to 40 and their difference is 4. The ratio of the numbers is

a)9:7          b)11:9              c)3:5                 d)2:7

30)  In a carton containing dozen mirrors is dropped, which of the following cannot be the ratio of broken mirrors to unbroken mirrors?

a)2:1         b) 3:1                           c) 3:2               d) 7:5  

31)  In a class of 60 students, which of the following could not be ratio of the number of boys and number of girls?

a)7:5          b)11:1               c)5:7                 d)8:5

32)  A 12 meter long pole casts 15 meter long shadow. What is the length of the 2nd pole if its shadow is 25 meter?

a) 20 m       b)16m              c)24m               d)18m

33)  The marks of Ramya in Arithmetic and Reasoning are in the ratio of 5:3. The total marks in these two subjects is 144. Find the difference between the marks in these two subjects?

a)36           b)54                  c)42                  d)60

34)  The ratio of incomes of A and B as well as B and C is 3:2. If one third of A’s income exceeds one fourth of C’s income by Rs 1000.What is B’s income in Rupees?

a)Rs 3000  b)Rs 2500          c)Rs 3500          d)Rs 4000

35)  The ratio of the number of boys and girls in the college is 7:13. If the number of girls in the college is 143 , what is the total number of students in the college?

a)200          b)205                c)210                d)220

36)  In a town the ratio of men and women is 5 : 3  and if the difference between men and women population is 1200.  The total population is:

a)Rs.3000    b) Rs.4800c)    Rs.4000                        d) Rs.2400

37)  Rs. 1050 is divided among P,Q and R.  The share of P is 2/5 of the combined share of Q and R.  Thus P gets  :

a)    Rs.200  b) Rs.300   c) Rs.320  d) Rs.420

38)  A sum of money is to be divided among P, Q and R in the ratio of 2 : 3 : 5. If the total share of P and R together is Rs1400, what is the total money?

a)Rs 2000  b)Rs 1800          c)Rs  1600 d)RS 2500

39)  A sum of money is divided among A,B,C and D in the ratio of 3:4:9:10 respectively. If the share of C is Rs 2580 more than the share of B, then what is the total amount of money of A and D together?

a)    Rs 5676             b)Rs 6192    c)Rs 6708 d)Rs 7224

40)  Rs 73689 are divided between A and B in the ratio 4:7. What is the difference between thrice the share of A and twice the share of B?

a)Rs 36699  b)Rs 46893        c)Rs 13398      d)None

41)  A man’s property is to be distributed among the wife, son and daughter in the ratio 3:4:2 and if the daughter gets Rs.12000, the wife’s share is

a)Rs.18000b) Rs.9000c) Rs.6000     d) Rs.3000        

42)  A person sold big, medium and small sized apples for Rs 15, Rs 10 and Rs 5 respectively. The total numbers of apples sold were in the ratio 3:2:5. Find the average cost of an apple?

a)    Rs 5      b) Rs 7              c)Rs 9             d)Rs 11


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