The sum of the lengths of the edges of a cube is equal to the perimeter of a square. If the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is

Determine the value of m for which 4x + x6 + m24 is a perfect square.

Read the statements and select a conclusion from the given alternatives.

Statements :

The healthcare system has expanded in terms of number of hospitals. But the fact is that most of them are not well equipped and unable to make significant progress in the field of patient care.

Conclusions :

I. We should provide good doctors and equipment to existing hospitals now onwards.

II. Now, it is not necessary to open any new hospitals.

The sum of the lengths of the edges of a cube is equal to half the perimeter of a square. If the numerical value of the volume pf the cube is equal to one-sixth of the numerical value of the area of the square, then the length of one side of the square is

Consider the given argument and decide which of the given assumptions is/are implicit.

Argument :

The government had planned to conduct special recruitment drives for doctors twice a year for rural districts.

Assumptions :

1. There are more vacancies.
2. The government wants the rural people to get good health care.

The sum of the lengths of the edges of a cube is equal to four times the perimeter of a square. If a quarter of the numerical value of the volume of the cube is equal to the numerical value of the area of the square, then the length of one side of the square is

Find the value of 'a' for which x+3x+a24 is a perfect square.

In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

It is basic to a democracy that its citizens remain in harmony _______ one another. At the very least, they should _______ treat each other as enemies. Enmity is spreadonly by vested interests that hope to thrive _________ polarising citizens. The ______________ between professed love for the country and infecting the people with hatred remains ignored. There is no instance in history of the policy of ‘divide and rule’ _____________ people’s welfare.

‘divide and rule’ _____________ people’s welfare.