Question Text
Question 2 :
Without actually performing the long division, state whether $\frac{29}{343}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
Question 3 :
Choose the correct answer from the given four options in the question: The product of a non-zero rational and an irrational number is _______ .
Question 5 :
State true or false: The sum or difference of a rational and an irrational number is irrational.
Question 6 :
Consider the numbers $4^n$, where n is a natural number. Is there any value of n for which $4^n$ ends with the digit zero ?
Question 7 :
The square of any positive integer cannot be of the form 6m + 2 or 6m + 5 for any integer m. Is it true?
Question 8 :
State true or false: Let p be a prime number. If p divides $a^{2}$, then p divides a, where a is a positive integer.
Question 9 :
The square of any positive integer cannot be of the form 5q + 2 or 5q + 3 for any integer q. Is it true?
