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In a room of 36 people. 20 players play chase while 28 players play poker. How many players play both?

Correct Answer: 12
আমরা জানি, Total = n(A) + n(B) - both + none ⇒ 36 = 20 + 28 - both + 0 ⇒ 36 = 48 - both ⇒ both = 48 - 36 ⇒ both = 12

Hotel Aditya has 10 single AC rooms, 5 double AC rooms and 18 non AC rooms. The fixed monthly rent of hotel is 150,000. The per day maintenance cost is Rs. 100 for double AC room, Rs. 75 for single AC room and Rs. 40 for non AC room. The per day charges are Rs. 600 for double AC room, Rs. 400 for single AC room and Rs. 250 for non AC room. In April 2003, the occupancy rate of non AC room was 50%, 70% of single AC room and 40% of double AC rooms. Find the profit/loss % for that particular month.

The members of a club participate in at least one game. Twenty of them play football, 10 play cricket, 12 play hokey. Three of them play cricket only, 4 of them play both the cricket and football but not hockey, 2 of them participate all games. How many people play both cricket and hockey but not football?

The following questions are based on the information given below: Out of a group of 60 students, 25 play Cricket, 30 play Football, 24 play Volleyball, 10 play Cricket and Football, 9 play Cricket and Volleyball, 12 play Volleyball and Football and 5 play all the three. How many students play exactly two games?

The following questions are based on the information given below: Out of a group of 60 students, 25 play Cricket, 30 play Football, 24 play Volleyball, 10 play Cricket and Football, 9 play Cricket and Volleyball, 12 play Volleyball and Football and 5 play all the three. How many students do not play any one of the games?

The following questions are based on the information given below: Out of a group of 60 students, 25 play Cricket, 30 play Football, 24 play Volleyball, 10 play Cricket and Football, 9 play Cricket and Volleyball, 12 play Volleyball and Football and 5 play all the three. How many students play Cricket only?

In a room, all except 18 of the people are over 50 years of age. 15 of the people in the room are under 50 years of age. If 10% of the people are at the age of 50 years, how many people are in the room>

A room contains 200 people, 25% of whom are graduates. A group of people, 30% of whom are graduates, leave the room. Of the remaining people, 10% are graduates. How many people did leave the room?

In a room there are six Bengali, twelve engineers and fifteen football players. Only one of them was a bengali Engineer who played Football. Two were Bengali Engineers but did not play football and two were Bengali football players and were not engineers. If there were 24 people in the room, and at least one of them were Bengali, engineer or a football player, how many were engineers and played football but not bngali?

Read the passage carefully and select the best answer to each question out of the given four alternatives.
Public opinion may be passive and false or active and real. It is claimed in theory that all governments are ultimately based on the opinion or sanction of the governed. But we find that in practice the people's rights are often trodden down and tyranny and oppression are allowed to continue. The government does it not because the people want it to do so but because they are too idle, too uneducated and too disunited or timid to oppose the govern ment. Such public opinion is passive and false and not an active verdict. But when we find people alert, intelligent and determined to let the government know their will, when they want to exercise actively their voice in the management of their country, we have an instance of true or active public opinion. True public opinion is formed by and expressed through the press, the platform, political parties and educational institutions. These have sacred duties to perform, duties on which depends the ultimate good of the entire community. The press today wields a tremendous influence, So it should support the causes and move ments and condemn the wrong one's and thus teach people to form correct opinion. A free and fair press ventilates the grievances of the public. Thus a healthy relationship develops between the people and the government through out an unbiased press. Political parties also help to create and regulate opinions. No less important part is played by the educational Institutions which train the minds of the young people who will be the citizens of tomorrow. It has been said that modern Germany and China have been made by their universities. It is necessary that the young and the growing minds should imbibe the spirit of fellow-feeling, the spirit of tolerance, the habit of compromise, and show due regard for the feelings and opinion of others without which a democratic society cannot function, let alone succeed. When there is true awakening of the people, we shall have the real and conscious public opinion. And justice will reign on earth and truly will the voice of the people be the voice of God.
According to the passage, which of the following is needed from the people to have true or active public opinion? 1. Alertness
2. Determination
3. Intelligence
4. Raising their voice

In a group of people 5 play golf, 8 play cricket and 3 play both. It is known that the heart rate of golf player is 98bpm, the heart rate of a cricket player is 102bpm and the heart rate of people who play both is 100bpm. Find the average heart rate of the group.