26. A total of 5 litres of water is to be poured into two empty buckets with capacities of 3 litres and 6 litres respectively, such that both buckets will be filled to the same percent of their respective capacities. What amount of water, in litres, must be poured into a 3 litre bucket ?

27. The ratio of the number of Science, Arts and Commerce students studying in a school is 5 : 6 : 8. If the number of students in each stream is increased by 30%, 25% and 50% respectively, what will be the new ratio of Science, Arts and Commerce students in the school ?

Directions (Question Nos. 28 to 30) : In each of the questions below are given some statements followed by some conclusions. Assume that the given statements are true even if they seem to be at variance from commonly known facts. Read all the conclusions and decide which of the given conclusions logically follow from the given statements disregarding commonly known facts.

28. Statement : In a country, all politicians are teachers, all teachers are engineers and all engineers are young citizens.
 

Conclusions : I. Some young citizens are politicians.
II. No engineers are politicians.
III. All politicians are engineers.
IV. All engineers are politicians.

29. Statement : In a university, 60% of the students are male and 40% students are female,70% of the students are sincere and 40% of the students are from Punjab State.
 

Conclusions : I. At least 30% of the male students are sincere.
II. All male students are not from Punjab State.
III. 30% of the female students are not sincere.
IV. All female students are from Punjab State.
 

30. Statement : The average number of people per house hold is 4 in hilly areas, where a sit is 8 in plain areas. The overall average is 7.

Conclusions : I. More people live in the same house hold in the plain areas as compared to those in the hilly areas.
II. The population per unit area in the plain are as is higher than in the hilly areas.