Numbers Questions

The co-ordinates of the centroid of a triangle ABC are (-1,-2) what are the co-ordinates of vertex C, if co-ordinates of A and B are (6,-4) and (-2,2) respectively?

If the 1st and the 3rd term of an arithmetic progression are -10 and -4, what is the 12th term?

The difference between the greatest and least five­ digit numbers formed by the digits 2,5,0,6,8 is (repetition of digits are not allowed)

ΔABC is right angled at B. BD is an altitude. DC = 9 cm and AC = 25 cm. What is the value of BC (in cm)?

Which of the following numbers is completely divisible by 99?

Find the average of all prime numbers between 20 and 50.

Out of a group of three numbers, second is thrice of the first and also twice of the third. If the sum of the three numbers is 55 then find the largest number in the group.

The equation of a line is given by 4y-6x+9=0. Find the slope of other line which is perpendicular to it.