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Two unequal pairs of numbers satisfy the following conditions: (i) The product of the two numbers in each pair is 2160 (ii) The HCF of the two numbers in each pair is 12. If x is the mean of the numbers in the first pair and y is the mean of the numbers in the second pair, then what is the mean of x and y?
Find two numbers such that their mean proportion is 8 and third proportion is 64.
Find two numbers such that their mean proportion is 12 and third proportion is 768.
a and b are two numbers such that their mean proportion is 6 and third proportion is 48. What is the value of a and b?
x and y are two numbers such that their mean proportion is 16 and third proportion is 128. What is the value of x and y?
x and y are two numbers such that their mean proportion is 8 and third proportion is 512. What is the value of x and y?
x and y are two numbers such that their mean proportion is 9 and third proportion is 243. What is the value of x and y?
If “multiplication” of two numbers is denoted as “Summation” of two numbers, “Summation” of two numbers is denoted as “Division” of two numbers, “Division” of two numbers is denoted as “Subtraction” of two numbers, and then what is the value of 10 + 5?
The mean proportion of the two numbers is 9 and the third proportion is 243. What will be the average of those numbers?
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