Question 5 :
Zero is not an integer as it is neither positive nor negative.
Question 8 :
 Let n and k be positive integers and  S be a set of n points in the plane such that (a) no three points of S are collinear, and  (b) for every point P of S there are at least k points of S equidistant from P. Prove that $\displaystyle k< \frac{1}{2}+\sqrt{2.n.}$
Question 9 :
Estimate the sum $579+7994$ by estimating the numbers to its nearest hundreds.
Question 10 :
Mr Sahoo attended a 1-day workshop from 09:15 a.m. to half five in the evening. The workshop included a $1\frac{1}{4}$ hour lunch break, two 15 minutes tea breaks and 13 activities, each of equal duration. Calculate the duration of each activity.
Question 13 :
Mark the correct alternative of the following.<br>The difference between the successor and predecessor of $99999$ is?<br>
Question 15 :
If $7$ pencils cost $Rs. 35$, then the cost of one dozen pencils is
Question 20 :
Sidak bought $13\displaystyle\frac{5}{8}$ m of cloth and Sanchi bought $13\displaystyle\frac{3}{4}$m of cloth. who bought more cloth and by how much?
Question 21 :
$\left\{ \dfrac { { 2 }^{ 403 } }{ 15 }  \right\} =\cfrac { k }{ 15 } $. Then $k$ is
Question 22 :
Which pair of operations will make the equation below true when inserted into the blank spaces in the order shown? $\displaystyle 2\frac{3}{10} $   ___   $1.5$  ____  $2=1.8$
Question 27 :
A rectangle has adjacent sides $8\ cm$ and $6\ cm$. The perimeter of the square is equal to the perimeter of this rectangle find the difference between the area of the square and that of rectangle.
Question 28 :
The length of a rectangle is $3$ times its breadth, if the length is decreased by $3$ cm and the breadth increased by $5$ cm the area of the rectangle is increased by $57$ $\displaystyle cm^{2}$ The perimeter  of the rectangle is
Question 29 :
80 students of the same height, stand with both hands stretched all along the sides of a rectangular garden. each student covering a length of 1.75 m. Then the perimeter of the garden is
Question 30 :
If the diagonal of a square is $12\sqrt{2}$ cm, then the perimeter of square is ____
Question 31 :
Find perimeter of a square if its diagonal is $16\sqrt {2}\ cm$.
Question 35 :
Some situations are given below. State true or false:<br/>Height of growing plant is constant.