Concept Booster - Mathematics

Consider the equation p = 5 - |2q-3| If p = 4 then possible values of q are

Consider the equation p = 5 - |2q-3| If p = |r| + 5, then number of possible ordered pair (r, q) is/are

The straight line 2x + 5y - 1 = 0 and 4ax - 5y + 2 = 0 are Mutually perpendicular, then the value of 'a' will be

ABC is a triangle. The coordinates of whose vertices are (-2, 4), (10, -2) and (-2, -8). G is the centroid of triangle ABC, then area of the triangle GBC is equal to

Solve for x, where [ . ] represents greatest integer function and { . } represent fractional part function.

Given two straight lines x - y - 7 = 0 and x - y + 3 = 0. Equation of a line which divides the distance between them in the ratio 3 : 2 (internally) can be :

Sum of an infinite G.P. is 5/4 times the sum of all the odd terms. The common ratio of the G.P. is

Let (2, -1) be the point P and x - y + 1 = 0 be the straight line S. If Q is image of point P about line S, then image of point Q about y- axis is

The middle point of the sides of a triangle are (-4, 2), (6, -2) and (7, 9). The centroid of the triangle is

Every body in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of person in the room is n

Numbers of natural numbers smaller than ten thousand and divisible by 4 using the digits 0, 1, 2, 3 and 5 without repetition is n then

The remainder obtained when 1! + 2! + 3! + ...........+ 200! is divided by 14 is

In a G.P. the ratio of the sum of the first eleven terms to the sum of the last eleven terms is 1/8 and the ratio of the sum of all the terms without the first nine to the sum of all the terms without the last nine is 2. Then the number of terms of the G.P. is less than.

If the difference between mean and mode is 63, the difference between mean and median is

For finding average speed of a vehicle covering equal distances in different time intervals, we prefer to use