Q1. Find the third proportional of 12, 16.
Q2. Find the ratio between the 3rd proportional of 4, 5 and the 4th proportional of 3, 6, 18.
Q4. The product of two numbers is 225 and the ratio between them is 3: 5. Find difference between both numbers.
Q5. Rs. 4300 is divided between 45 persons in which men, women and children are included. The money received by men, women and children is in the ratio 12 : 15 : 16 while the money received by each is in the ratio 6 : 5 : 4. Find the number of men, women & children?
Q6. Half of the volume of Petrol and kerosene mixture of ratio 7 : 5 is converted into a mixture of ratio 3 : 1 by the substitution (or replacement) method. While the mixture of ratio 7 : 5 was formed from the mixture of 7 : 3 by adding the Kerosene in it. If 240 litres petrol is required in the replacement method, what is the total amount of Kerosene was added to prepare the mixture of 7 : 5?
(a) 100 litres
(b) 400 litres
(c) 50 litres
(d) 200 litres
Q7. A container is filled with the mixture of milk and water. The ratio of milk and water is same. Bobby and Sunny increases the concentration to 60%. Bobby makes it by adding the milk and Sunny makes it by replacing the mixture with milk. What is the percentage of milk added by Bobby to that of milk replaced by Sunny:
(d) None of these
Q8. The ratio of the density of 3 kinds of petrol P₁, P₂ and P₃ is 9 : 7 : 5. The density of P₁ is 18 gm/cc and P₁, P₂, P₃ are mixed in the ratio of 6 : 5 : 4 by weight. If a litre of P₃ cost of Rs. 40, then find the cost of P₃ in 450 kg of mixture of P₁, P₂ and P₃:
(a) Rs. 380
(b) Rs. 480
(c) Rs. 355
(d) Rs. 448
Q9. Pooja, Shipra and Monika are three sisters. Pooja and Shipra are twins. The ratio of sum of the ages of Pooja and Shipra is same as that of Monika alone. Three years earlier the ratio of age of Pooja and Monika was 2 : 7. What will be the age of Shipra 3 years hence?
(a) 21 years
(b) 16 years
(c) 8 years
(d) 12 years
Q10. Akbar and Birbal who purchased the shares for the cost of their basic salaries which are in the ratio of 5 : 6. Later on company gave them 40 additional shares to each, due to which the ratio changed to 7 : 8. If the worth of each share is Rs. 75, what is the basic salary of the person who got less shares?
(a) Rs. 10500
(b) Rs. 7500
(c) Rs. 8800
(d) Rs. 9000