Which one of the following is not a postulate for geometry?
1) For any two points there is exactly one line that contains them.
2) For any three non-collinear points there is exactly one plane that contains them.
3) For every pair of parallel lines there is exactly one plane that contains them.
4) For every pair of points there is a unique positive number which is the distance between them.

Simplify the following

Draw the coordinate axes and represent the following points
i) (-2,4)         ii) (1,3)
iii) (5,-3)       iv) (-5,-4)

Perform the following steps listed below and check whether the answer is a multiple of 9?
Step-1 Choose a number between 100 and 1000
Step-2 Interchange its first and last digits to make another number
Step-3 Subtract the small number from the largest number
Step-4 Repeat step-2 for the number obtained in step-3
Step-5 Now add the numbers obtained in step-3 and step-4.
Try with some other starting number between 100 and 1000 and check whether the answer is a again a multiple of 9.

A rectangle has the area equal to that of a square of side 80 cm. If the length of the rectangle is 160 cm, its breadth is
1) 60 cm                        2) 40 cm
3) 20 cm                         4) 30 cm

If a = 1⁴ ,b = 4⁰ ,c = 0⁴ and d = 4¹, then
1) a = b                  2) b = c
3) a = c                   4) a = d

In how many ways can the letters of MAHABHARAT be arranged so that
i) B and T are never together
ii) M, A, T, H occurs at first four places.