Ratio, proportion and Variation
- 4 gallons : 6 quarts=……….
A. 2:3 B. 8:3 C. 4:6 D. 3:8 E. None of these
- 6600 feet : 2 miles =…………
A. 8:5 B. 5:8 C. 33:1 D. 22:1 E.3300:1
- If 1/2x+y=2x, then x:y=……….
A. 1:2 B. 2:3 C.3:4 D. 3:5 E. 4:5
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- If x:y:z =2:3:4 and x + y +z = 18 , then xyz = …………
A.12 B.48 C.192 D.256 E.512
- If (5x-4y) = 4(2x-3y) , then x : y = ……….
A. 3:8 B. 8:3 C. 12: 17 D. 6:-13 E. 13:18
- 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
84 E. 200
- ∠P:∠Q:∠R = 3:4:5, S=………….
