Ratio and Proportion

Click the appropriate answer:

1.The compound ratio of 5:26 and 13:15 is

1/5 1/6 1/12

2.The duplicate ratio of 3:7 is

6/14 9/49 6/14

3.If a:b = 4: 5and b:c =6:7 then a:c =

10 :12 24 : 35 10:35

4.If2A=3B=4C then A:B:C =

2:3:4 6:4:3 2:3:1

5.If 2A=3B, 4B=5C then A:C =

2:5 3:5 15:8

6.If x /y =2/3 then value of 3x+ 5y/5x+ 6y =

9/12 8/11 3/4

7.Find x=y if 4x+5y/4x-5y =19/9

9:2 7:2 9:7

8.Descending order of 1:2, 2:5, 3:4 =

2:5, 1:2 ,3:4 3:4,1:2,2:5 :5,3:4,1:2

9.Ascending order of 3:5, 4:7, 2:3 =

4:7, 3:5, 2:3 2:3,3:5,4:7 4:7,2:3,3:5

10.the fourth proportional of 15, 12, 35 =

28 30 32

11.The mean proportional of 20, 45 =

25 30 35

12.If a/ b = 5 / 2 then b : a =

7/2 ) 2/5 6/7

13 If a / b = 7 / 9 then (a+b)/b =

16/9 20 / 7 15 / 8

14 If a / b = 2 / 5 then (a+b)/ (a-b) =

-(7/3) 3/ 7 none of the above

15 The subduplicate of 25 :49 =

12: 5 24:5 5: 7

16 If Rs.1870 is divided among A, B, C in Proportion A / 2 = B/ 3 = C / 6 then A will receive Rs

300 340 600

17 If (23-x) is the geometric mean of (28-x) and (19-x) then the value of x is

5 3 2

18 If 4x+5y = 3, kx+15y = 9 have infinite number of solutions if k =

12 14 16

19 (k-3)x+ 3y = k, kx+ky =12 has infinite no.of solutions if k=

7 6 9

20 5x+7y =3, 15x+21y= k reprsents coincident lines if k=

9 10 12

21 2x+4y+9 =0, kx+3y-8 =0 have no solution if k =

5/3 6 / 13 3 / 2

22 2x-5y+8=0,1/3 x-ky+9 =0 have no solution if k =

6 / 13 5 / 6 none of the above

23 2x +3y-5=0, kx-6y-8=0 has a unique solution if k

¹ 4 = 4 -4

24 x- ky =2 , 3x + 2y = -5 have a unique solution if k

= -2/3 =2/3 none of the above

25 The solution for 2x+3y =8 and 4x + 3y/2 =7 is

3,4 2, 5 1, 2

26 The soluion for ax+by = a-b, bx-ay= a+b is

2,2 1,1 1,-1

27 2A= 3B, 4B= 5C then A:C

8:15 12:10 15:8

28 If (4x+5y) / (4x-5y) = 19/9 then x / y

7/2 27/10 2/7

29 If (23-x) is the geometric mean of (28-x) and (19-x), then x =

3 5 8

30 Subtriplicate ratio of 2 : 3

6:9 8:27 4:9

31 a:b = 4:5 and b:c = 6:7 then a:c =

24:35 20:42 20:24

32 256 can be divided in the ratio 7:9 as

140,116 112,144 116,112

33 The fourth proportional of 5, Ö75, Ö48 =

15 12 16

34 (19-x), (26-x), (35-x), (50-x) are in proportion. Then value of x =

5 4 7

35 The mean proportional of (x+y)2, (x-y)2 is =

(x+y) (x-y) ( x2-y2)

36 If a /(b+c) = b / (a+c) = c / (a+b) then a+b+c ¹ 0 then each ratio =

1/2 1/3 3/5

37 9/4 = 63/( i ) = ( ii )/24 i

] 28 i] 36 i] 24

ii] 45 ii] 54 ii] 90

38 8 / 20 = ( i ) / 5 = ( ii ) / 25 i]

2 i] 3 i] 10

ii] 10 ii] 20 ii] 30