Question 8 :
Which of the following when added to the additive identity element results $0$?
Question 9 :
Multiplying a negative integer for odd times gives a _____ result
Question 10 :
Which of the following does not satisfy closure property for whole numbers?
Question 11 :
If we write natural numbers from $1$ to $100,$ the number of times the digit $5$ has been written is
Question 12 :
If n is a whole number such that $n + n = n$, then $n =$ ?
Question 13 :
The number of whole numbers between $ -6 $ and $ 6 $ is
Question 14 :
The number of whole numbers between the smallest whole number and the greatest 2-digit number is:
Question 15 :
What is the multiplicative identity element in the set of whole numbers?
Question 16 :
If $(31 + 15) + x = 31 + (15 + 23)$, then by using associativity of addition $x= $
Question 17 :
"Arya climbed 10 steps up." Position of Arya can be represented by
Question 21 :
Father's age is three times the sum of ages of histwo children. After five years his age will be twicethe sum of ages of two children. The age of thefather is
Question 24 :
At Shimla,the temperature was $-7^0C$ on Tuesday.It then dipped by $3^0C$ on Wednesday.On Thursday,it rose by $6^0C$.What was the temperature of Shimla on Wednesday and Thursday respectively?
Question 26 :
'Rushabh walked 3 units west.' ; the position of Rushabh is
Question 27 :
Prove that the system of equations<br/>$\left\{ \begin{matrix}x^2 + 6y^2 = z^2 & \\6x2 +y2 = t2  & \end{matrix}\right.$<br/>has no positive integer solutions.<br/>
Question 28 :
The sum of the integers from $1$ to $100$ which are not divisible by $3$ or $5$ is
Question 29 :
State whether true or false <br/>The negative of a negative integer is positive.<br/>
Question 31 :
Zero is not an integer as it is neither positive nor negative.
Question 33 :
 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 $\displaystyle k< \frac{1}{2}+\sqrt{2.n.}$