Ratio, proportion and Variation
1. 4 gallons : 6 quarts=……….
    A. 2:3      B. 8:3      C. 4:6    D. 3:8      E. None of these
2. 6600 feet : 2 miles =…………
    A. 8:5      B. 5:8      C. 33:1     D. 22:1      E.3300:1
3. If 1/2x+y=2x, then x:y=……….
    A. 1:2      B. 2:3      C.3:4     D. 3:5      E. 4:5
4. The ratio 27:36 , expressed as a percentage, is 
    A. 25%     B. 45%     C. 60%     D. 75%      E. 80%
5.The ratio 2:x , expressed as a percentage , is 40%, then x=………..
    A. 3     B. 4     C.5     D. 6      E.8
6. If a:b=3:8 and b:c=4:5, then a:c=…………..
    A. 5:11     B. 3:8    C. 3:11    D. 3:10     E. 5:8
7. If a:b=3:5 and b:c=3:5, then a:b:c=………
     A. 2:3:5      B.3:5:7     C.6:10:15     D. 9:15:25      E.9:20:27
8. If a:b = 5:3 , thC. 4:3      D. 3:4        E. None of them
10. The cost of 40 pens is k. 360 and the cost of 30 pencils is k. 90. The ratio of the cost of a 
     pen to that of a pencil is 
    A. 1:3      B. 1:4      C. 3:1      D. 4:1        E. 16:3
11. The ratio of the area of  a circle of radius 7 cm  to the area of a circle of  radius 14 cm is
    A. 1:2     B. 2:3      C. 3:5      D. 4:9      E. 1:4
12.  If the ratio of the areas of two circles is 49:25 , then the ratio of the diameters of these 
    circles is   
    A. 3:4     B. 4:5      C. 7:5      D.  6:5        E. 1:4
13. If x is 2/3  of y and y is 3/4  of z , then the ratio of  z to x is 
    A. 2:1     B. 1:1      C. 3:2      D. 1:2        E. 4:3
14. If 2x2 -5xy + 3y2=0, then x:y=……….
    A. 2:5      B. 5:3      C. 1:1      D. 1:1 (or) 2:3        E. 3:2 (or) 1:1   
15. If xy = x + y, where x and y are real numbers, then y cannot be 
    A.0      B.1      C. -1     D.2        E. -2
16. If 3a = 4b = 5c, then  1/a:1/b:1/c =…………
    A. 1/3:1/4:1/5     B.1/5 :1/4: 1/3     C. 1/4:1/5:1/3      D. 3:4:5      E.5:4:3
17. If x:y:z =2:3:4 and x + y +z = 18 , then xyz = …………
    A.12      B.48      C.192      D.256        E.512
18. If (5x-4y) = 4(2x-3y) , then x : y = ……….
   A. 3:8     B. 8:3      C. 12: 17      D. 6:-13        E. 13:18
19. If x:y = 2:3 , find (x2 + y2):(x2-y2).
    A. 2:5     B. 13:-5      C.6:13      D. 6:-13        E.  (9:13)
20.Let x,y,z be three unequal numbers . Which  of the following is (are) equal to x:y:z?
    1.5x: 5y : 5z    2. x+1 : y+1 : z+1    3. x2 : y2 : z2 
    A.1 only     B. 2 only      C. 1 and 2 only      D. 2 and 3 only        E.   1,2 and 3


21.Divide k. 340 into 3 parts such that their ratios are 1/2:1/3:1/9, then the largest part is 
    A. k. 170    B. k.180    C. k. 192    D. k.184    E. 200
22. ∠P:∠Q:∠R = 3:4:5, S=………….