Question 5 :
Consider the following statements:<br>I. Every prime number is odd.<br>II. Product of any two prime numbers is odd<br>Which of the given statement(s) is/are correct?
Question 6 :
State true(T) or false(F).<br>Odd numbers cannot be written as sum of primes.<br>
Question 11 :
The two numbers which have only $1$ as their common factor are called _______.
Question 13 :
State the following statement is True or False<br>Multiplication and Division of two negative numbers is always a negative number<br><br>
Question 14 :
What is the value of $x$ in the following equation?<br/>$-319\div x =-11$.
Question 15 :
Value of $\displaystyle { 2 }^{ 2 }{ \times (-3) }^{ 2 }{ \times 2 }^{ 2 }{ \times (-4) }^{ 2 } $ is
Question 17 :
State the following statement is True or False<br>Multiplication of one negative number and one positive number results into negative number<br><br>
Question 18 :
If the dividend and divisor have unlike signs then the quotient will be _____
Question 20 :
Multiplication of a negative integer for even number of times gives a _________ number.
Question 26 :
Mark against the correct answer in the following:<br/>$(-36)\div (-9) = ?$
Question 27 :
State whether the statement is true/false.<div>The product of a positive and a negative integer is negative.</div>
Question 28 :
Write (T) for true and (F) for false for each of the following statements:<br/>$(-8) \div 1 = -8$
Question 29 :
Write (T) for true and (F) for false for each of the following statements:<br/>$(-1) \div (-1) = -1$
Question 30 :
State , true or false :<br>$ (-37) \div 0 = 0 $
Question 31 :
Write (T) for true and (F) for false for the statement:<br/>(-5) $\div$ (-1) = -5
Question 33 :
Without actual multiplication, then value of $687 \times 687 - 313 \times 313$
Question 34 :
$5x^{3} + 5x^{2} + 4x + 3 + 4x^{2} + 5x =$
Question 37 :
The index of polynomial 10x$^3$ + 13x$^2$y$^2$ - 5y$^2$ + 11 is
Question 38 :
State whether true of false : <br>$3xy $ and $ 4xyz$ are unlike terms.
Question 42 :
In a $\Delta ABC$, if $\angle A = 53^{\circ}$ and $\angle C = 44^{\circ}$, then the value of $\angle B$ is<br/>
Question 43 :
Find the complements of <span>$\displaystyle { 68 }^{ o }$ and $\displaystyle { 33 }^{ o }$ respectively.</span>
Question 44 :
${\left( { - 1} \right)^{13}} \times {\left( { - 1} \right)^{26}}$ equals
Question 46 :
Simplify: $\displaystyle \left ( \frac{4}{5} \right )^{-5}\times \left ( \frac{5^{3}}{4^{3}} \right )^{-3}$
Question 47 :
Compare the following and put the correct sign.<br>i. $(3^2)^3 \, \square\, 3^{2^{3}}$<br>ii.$ (8^4)^{\dfrac{1}{2}}\, \square\, 2^4$<br>iii. $(3^{1/3})^9 \, \square\, (81^{1/4})^2$
Question 49 :
State whether the following statement is true (T) or false (F):<br>$(10 + 10)^4 = 10^4 + 10^4$<br><br>
Question 54 :
$\displaystyle \frac { { \left( 3.63 \right) }^{ 2 }-{ \left( 2.37 \right) }^{ 2 } }{ 3.63+2.37 } $ is simplified to -
Question 56 :
Simplest form of the Expression $\displaystyle { \left( { x }^{ 6 }.{ y }^{ { -5 }/{ 4 } } \right) }^{ { -4 }/{ 3 } }$ will be-
Question 57 :
If $x = 1 - e^t$ and $y = 1 + e^{-t}$, find $y$ in terms of $x$.