Quantitative Ap...

Directions: In the Copa America league, four football teams namely, Brazil, Argentina, Uruguay and Paraguay, take part where each team is to play against the other three teams at most once. For a win, a draw and a loss, 2 points, 1 point and 0 points are awarded respectively. After several matches have been played in the league, a table is compiled which gives information about the points earned by teams at this stage in the league.

It is also known that Uruguay has not won any matches so far. Brazil has scored the same number of goals as other teams have scored against it. Paraguay has lost at least one match. The total points of Brazil are not known.

How many points were scored by Brazil?

If in the 10th Plan the outlay of "Energy" and "Science & Environment" are increased by 5% and 7% respectively, what will be their combined outlay during the 10th Plan?

Find the total area, in m², of the circular ground in which a track is drawn in such a way that it appears as if it's a triangle inscribed in a circle. The sides of the triangle measure 90 m, 400 m and 410 m.

In a cross country race there are 3 events in which participants need to compete:
swimming, cycling and running. Each participant has to do each of the activities for a stipulated amount of time. Rahul noticed that he sweats 2 L/hr while swimming; 5 L/hr while running and 10 L/hr while cycling. Rahul swims at a speed of 30 km/hr, runs at a speed of 60 km/hr and cycles at a speed of 150 km/hr. If he covered 142.5 km in all losing 9.75 litres of sweat, for how long did he run?

Directions: In the Copa America league, four football teams namely, Brazil, Argentina, Uruguay and Paraguay, take part where each team is to play against the other three teams at most once. For a win, a draw and a loss, 2 points, 1 point and 0 points are awarded respectively. After several matches have been played in the league, a table is compiled which gives information about the points earned by teams at this stage in the league.

It is also known that Uruguay has not won any matches so far. Brazil has scored the same number of goals as other teams have scored against it. Paraguay has lost at least one match. The total points of Brazil are not known.

How many matches have resulted in a draw so far?

The following statements are either true (T) or false (F). Mark the option that gives the correct codes.

The centre of the inscribed circle of a triangle is found by constructing the bisectors of the angles of the triangle.

A system of two linear equations has exactly one solution.

If three vertices of a parallelogram are (0, 0), (2, 0) and (5, 4), then the fourth vertex is (7, 4).

If three of the vertices of a rectangle are (-a, 0), (a, 0) and (-a, b), then the fourth vertex is (a,-b).

What is the combined outlay in Agriculture and Irrigation?

What is the combined % outlay of the items having maximum and minimum outlays?

If outlay in Social Services is 1,08,566 more than that in Rural Development, what percentage of outlay is for Social Services?