4Ratio and Proportion

Q1.
If x:y = 3:4 and y:z = 12:13, then x:z = ?
Q2.
If 1/2 of A = 1/3 of B = 0.6 of C, then A:B:C = ?
Q3.
If 1/x : 1/y : 1/z = 2:3:5, then x:y:z = ?
Q4.
If A is 40% more than B and B is 20% less than C, then A:C = ?
Q5.
If (4 + 3y²) : (2 + 5y²) = 12:19, then y² = ?
Q6.
Two numbers are in the ratio 4:5 and their LCM is 180. The smaller number is:
Q7.
Two numbers are in the ratio 4:5. If the first number is increased by 20% and the second is decreased by 20%, what will be the ratio of the new numbers?
Q8.
The angles of a triangle are in the ratio 1:2:3. The greatest angle of the triangle is:
Q9.
The monthly salaries of Ram, Hari and Shyam are in the ratio 1:2:3. If Shyam's monthly salary is Rs. 12000, what is Ram's salary?
Q10.
The ratio of the ages of Mina and Mira is 4:3 and the sum of their ages is 28 years. The ratio of their ages after 8 years will be:
Q11.
The salaries of x, y and z are in the ratio 1:3:4. If these salaries are increased by 5%, 10%, and 15% respectively, then the increased salaries will be in the ratio:
Q12.
Rs. 210 are to be divided among A, B, C in such a way that if A gets Rs. 5, then B gets Rs. 12 and if B gets Rs. 4, then C must get Rs. 5.50. The share of C will exceed that of B by:
Q13.
In 20 litres of a mixture, the ratio of milk and water is 5:3. When 4 litres of mixture is substituted by 4 litres of milk, the ratio of milk and water in the new mixture will be:
Q14.
The ratio in which two sugar solutions of concentration 15% and 40% are to be mixed to get a solution of concentration of 30% is:
Q15.
On a map, there is a scale 1:4 × 10⁵. If the distance between two points is represented by 4 cm on a map, then what is the real distance between these two places?
Q16.
A and B are two compounds formed by the combination of gold and copper in the ratio 5:3 and 5:11 respectively. Equal quantities of these two compounds are melted and mixed to form a new metal C. Now metal C contains gold and copper in the ratio:
Q17.
The sides of a triangle are in the ratio 3:4:5. The triangle is:
Q18.
The sides of a triangle are in the ratio 4:5:6. The triangle is:
Q19.
The ratio between the area of a square of side a units and the area of an equilateral triangle of side a units is:
Q20.
A right circular cone is cut off at the middle of its height by a plane parallel to its base. Call smaller cone thus formed as A and the remaining part B. Then:
Q21.
Two numbers are in the ratio 1:2. When each of these is increased by 15, they are in the ratio 1:2. The greatest of the two numbers is:
Q22.
The ratio of the rates of flow of water in a pipe varies inversely as the square of the radius of pipe. The ratio of the rates of two pipes of diameter 2 cm and 4 cm is:
Q23.
Two metals contain Zn and Cu in the ratio 2:1 and 4:1 respectively. In what ratio must these metals be mixed to get a new metal containing Zn & Cu in ratio 3:1?
Q24.
If (a + b):(b + c):(c + a) = 5:6:7 and a + b + c = 14, then c = ?
Q25.
The fraction which bears the same ratio with 27/55 as 11/3 has with 11 is: