main note

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
5. 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
6. 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
7. If a:b = 5:3 , then 3a+ 4b: 4a+3b is
   A. 27:36 B. 29:27 C. 27:29 D. 26:29 E. 17:19
8. If 2x +3y:2x+y=3:2, then x:y=……….
   A. 3:2 B. 2:3 C. 4:3 D. 3:4 E. None of them
9. 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
10. 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
11. 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
12. 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
13. 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
14. If xy = x + y, where x and y are real numbers, then y cannot be
    A.0 B.1 C. -1 D.2 E. -, then xyz = …………
    A.12 B.48 C.192 D.256 E.512
15. If (5x-4y) = 4(2x-3y) , then x : y = ……….
    A. 3:8 B. 8:3 C. 12: 17 D. 6:-13 E. 13:18
16. 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

1. ∠P:∠Q:∠R = 3:4:5, S=………….