Tag: maths

Questions Related to maths

State true or false.
$0\div \left(-7\right)=0$

  1. True

  2. False


Correct Option: A
Explanation:

Given statement is true.

Since 
$0\div (-7)$

$=\dfrac{0}{-7}$

$=0$ 

State true or false.
$\left(-8\right)\div \left(-1\right)=-8 $

  1. True

  2. False


Correct Option: B
Explanation:

The statement is not correct.

Since 
$(-8)\div (-1)$
$=\dfrac{-8}{-1}$
$=8$.
So $(-8)\div (-1)\ne (-8)$.

Which of the following statements are true ?
$0 \div 0=0 $

  1. True

  2. False


Correct Option: B
Explanation:

The given statement is false.

Since $\dfrac{0}{0}$ is indeterminate form.

The digit in the ten's place , in the smallest of such numbers , is 

  1. 9

  2. 8

  3. 7

  4. 6


Correct Option: A

State true or false.
$-8 \div \left(-2\right)=4 $

  1. True

  2. False


Correct Option: A
Explanation:

Now,

$\dfrac{-8}{-2}$
$=\dfrac{4\times (-2)}{-2}$
$=4$.
So the given statement is true.

"If it is a good watch then it is a Titan watch. It is a Titan watch, therefore, it is a good watch". This argument is _____________.

  1. valid

  2. invalid

  3. may be valid or invalid

  4. invalid if conditional connective is replaced by biconditional connective


Correct Option: A

While simplifying $\sqrt { \frac { 1-cosx }{ 1+cosx }  } $, two students got the following two answers A & B.
A)  cosec x - cot x  (B)   $\frac { 1 }{ cosecx+cotx } $ What can you say about answers ?

  1. Both A & B are worng

  2. Both A & B are right

  3. A is right B is wrong

  4. B is right A is wrong


Correct Option: A
State whether the statement
P: "if x is a real number such that $x^3+2x=0$, then $x$ is $0$"  is true/false
  1. True

  2. False


Correct Option: A

State whether the statement
P: "if x is a real number such that $x^3+2x=0$, then $x$ is $0$" is true/false.

  1. True

  2. False


Correct Option: A

Choose the incorrect statements

  1. Digit at the units place of $3^{51}$ is $9$

  2. If $i-f=(9-\sqrt{82})^{11}$ and $< f < 1 $, then $'i'$ is an even integers

  3. If $7^{80}$ is divided by $13$, then the remainder is $9$

  4. If only $6^{th}$ term in the expression of $\left(\dfrac{x}{5}+\dfrac{2}{5}\right)^{n} $ ahs numerically greatest coefficient, then $n=7$


Correct Option: A