Tag: maths

Questions Related to maths

Using binomial theorem if $6^{n}-5n$ divided by $25$ it always leaves the remainder $5$.

roman numbers and numbers upto hundred roman numerals knowing our numbers maths

  1. True

  2. False

Show answer
Correct Option: B

$I$ can be subtracted from 

roman numbers and numbers upto hundred roman numerals knowing our numbers maths

  1. $V, X $ 

  2. $M$  only

  3. $V$  only

  4. none

Show answer
Correct Option: A
Explanation:


Hence,$ I$  can be subtracted from$ V, X $

Roman numerals for $498$ is given by:

roman numbers and numbers upto hundred roman numerals knowing our numbers maths

  1. $COCXVIII$

  2. $COCXIV$

  3. $CDXCVIII$

  4. $COXCVII$

Show answer
Correct Option: C
Explanation:

$\Rightarrow$  The given number is $498.$

$\Rightarrow$  In Roman numbers $I=1,\,V=5,\,X=10,\,C=100$ and $D=500$.
$\Rightarrow$  $498=400+90+8$      [ Breaking the number into place value of subgroups ]
$\Rightarrow$  $400=500-100=D-C=CD$
$\Rightarrow$  $90=100-10=C-X=XC$
$\Rightarrow$  $8=5+1+1+1=V+I+I+I=VIII$
$\Rightarrow$  Now adding all the Roman numeral.
$\therefore$   $498=400+90+8=CD+XC+VIII=CDXCVIII$
$\therefore$   Roman numerals for 498 is $CDXCVIII.$

The symbols of roman numerals can never be repeated is ________.

roman numbers and numbers upto hundred roman numerals knowing our numbers maths

  1. I

  2. V

  3. X

  4. None of these

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Correct Option: B
Explanation:

Consider the symbol that can never be repeated.

Hence, $V$ is the symbol that can never be repeated.

Hence, this is the answer.

Which of the following is a correct roman numeral ?

roman numbers and numbers upto hundred roman numerals knowing our numbers maths

  1. CXL

  2. CC

  3. XX

  4. All of these

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Correct Option: D
Explanation:

 

Given that,

$CXL,CC,XX$

We know that,

$CXL=140$ ,CC=200, $XX=20$

 

Hence, this is the answer.

 

Roman numeral for the greatest three digit number is ___________.

roman numbers and numbers upto hundred roman numerals knowing our numbers maths

  1. IXIXIX

  2. CMXCIX

  3. CMIXIX

  4. CMIIC

Show answer
Correct Option: B
Explanation:

Consider the $3$ digit largest number in roman.


The largest $3$ digit number is$999$.


Let's convert that into Roman numerals,


$M=100$,$D=500$,X=100$,$X=10$,$V=5$ and $I=1$.

$900 = CM$

$90 = XC$

$9 = IX$

Therefore, $999 = CMXCIX$

 

Hence, this is the answer.

Numeral for seventy crore one thousand is:

roman numbers and numbers upto hundred roman numerals knowing our numbers maths

  1. $701000$

  2. $70001000$

  3. $700001000$

  4. $7001000$

Show answer
Correct Option: C
Explanation:

By using Indian number system, the numeral value for seventy crore one thousand is

$700001000$.
Hence, the answer is $700001000$.

In the Roman numeral, I can be subtracted from:

roman numbers and numbers upto hundred roman numerals knowing our numbers maths

  1. V and X

  2. M only

  3. V only

  4. none

Show answer
Correct Option: A
Explanation:
Subtraction Rule:
Writing a smaller number to the left of a larger number means that the smaller number has to be subtracted from the larger number. The symbol 1 can be used for subtraction from V and X only. The symbol X can be subtracted only from L and C.

Hence, the answer is V and X.

Convert the Roman numeral MMMCCCXXXIII into its general form.

roman numbers and numbers upto hundred roman numerals knowing our numbers maths

  1. $333$

  2. $30303$

  3. $3333$

  4. $3330$

Show answer
Correct Option: C
Explanation:

The value for $MMM$ is $3000$

The value for $CCC$ is $300$
The value for $XXX$ is $30$
And the value for $III$ is $3$.
Thus, the total value is $3333$.

X can be subtracted from:

roman numbers and numbers upto hundred roman numerals knowing our numbers maths

  1. L and C

  2. I and V

  3. I only

  4. V only

Show answer
Correct Option: A
Explanation:

The value of roman value X is $10$ and it can be subtracted from 

L and C only. 
Hence, the answer is L and C.