Q1. The average of 5 consecutive numbers is 15. The largest of these numbers is:
Ans - 17
Q2. Two bottles contain spirit and water respectively in the ratio 2 : 5 and 2 : 3. Find the ratio in which they are to be mixed to get a new mixture in which the ratio of spirit to water is 1 : 2.
Ans - 7:5
Q3. Average age of A, B and C is 25 years. If the average age of A and B be 27 years and that of B and C be 24 years, then find the age of B.
Ans - 27
Q4. A fruit seller sold three varieties of fruits at the rate of Rs 20, Rs 25 and Rs 27. If the quantity of the fruits sold were in the ratio 1 : 2 : 5 find the average rate of the fruits.
Ans - 25.6
Q5. The bowling average of a bowler is 15.2. He took 4 wickets for 40 runs in his last match, then his average improved by 0.2. Find the number of wickets taken by him before the last match.
Ans - 100
Q6. How many kg of sugar worth Rs 36 per kg should be added to 6 kg of sugar worth Rs 43 per kg such that by selling the mixture at Rs 46 per kg, there is a gain of 15%.
Ans - 4.5
Q7. The average score of a class of boys and girls in an examination is x. The ratio of boys and girls in the class is 5 : 3. If the average score of the boys is x + 3, find the average score of girls.
Ans - x - 5
Q8. Atul has twice as much money as Abhishek. Abhishek has 20% more money than Rohit. If the average money with them is Rs 115, then Rohit has :-
Ans - 75
Q9. In a school the total number of students was 350 and the ratio of the number of boys and girls was 4: 3. After a few days 30 girls joined the school but a few boys left, as a result the ratio of the boys and the girls became 5: 6. Find the number of boys who left the school.
Ans - 50
Q10. A milkman has 30 litres of milk. If he mixes 10 L of water to it and sells the mixture at the cost price, find the percentage profit made by the milkman. The cost price of milk is ` 35/L.
Ans - 33 1/3%
Q11. The ratio of milk and water in a vessel is 4 : 1. How much water should be added to the mixture so that the ratio becomes 2 : 1? Initial quantity of mixture is 60 L.
Ans - 12 L
Q12. In a factory the salary of each worker is increased in the ratio 4: 5, but the number of workers is decreased by 813813%. Find the net effect on the salary.
Ans - 14 7/12 %
Q13. The compound ratio of the inverse ratios of the ratios x : y, y : z, z : x will be:-
Ans - 1:1
Q14. The ratio of milk and water in a vessel containing 48 L mixture is 5 : 1. How much mixture should be replaced by water so that the ratio of milk and water becomes 5 : 3?
Ans - 12
Q15. If x and y are rational numbers and 𝑥+𝑦8⎯⎯√=13−8√x+y8=13−8 then x : y will be equal to:
Ans - 3:1
