Tag: knowing our numbers

Questions Related to knowing our numbers

The least two digit composite number is

  1. $11$

  2. $12$

  3. $10$

  4. $16$


Correct Option: C
Explanation:
We know that-If a number has more than $2$ factors then it is a composite number.
$11$ is a prime number $\because$ it has only $2$ factors
$12$ is a composite number $\because$ it has more than $2$ factors
$10$ is a composite number $\because$ it has more than $2$ factors
$16$ is a composite number $\because$ it has more than $2$ factors
$\therefore\,10,12,16$ are composite numbers.
The least composite number is $10$

The Roman numeral for $1000$ is

  1. $V$

  2. $L$

  3. $D$

  4. $M$


Correct Option: D
Explanation:

Roman numeral for $1000$ is $M$

Roman numeral for the greatest three digit number is

  1. IXIXIX

  2. CMIXIX

  3. CMXCIX

  4. CMIC


Correct Option: C
Explanation:
The largest $3$ digit number is $999$. Let's convert that into Roman numerals.

$M = 1000, D = 500, C = 100, X = 10, V = 5$ and $I = 1.$

$900 = CM$

$90 = XC$

$9 = IX$

$900+90+9=999$
$(1000-100)+(100-10)+(10-1)$

Therefore, $999 = CMXCIX$
$(1000-100)+(100-10)+(10-1)$

Let's crossverify,
$CMXCIX=(1000-100)+(100-10)+(10-1)$
$=900+90+9=999$

Numerals that cannot be subtracted in Roman system are

  1. $V, L $ and $ D$

  2. $I, X$  and $ V$

  3. $C$

  4. $M$


Correct Option: A
Explanation:

We can only subtract powers of ten ($I, X,$ or  $C$ , but not  $V$  or $L$)

Hence, Numerals that cannot be subtracted in Roman system are $V, L$ and  $D$.

Hindu-Arabic numeral for MCDXVIII is

  1. 1618

  2. 1405

  3. 1418

  4. 1481


Correct Option: C
Explanation:

(C) MCDXVIII
1000+(500-100)+10+5+3=1418 

Numerals that can be repeated in Roman system are 

  1. $I, X \ and\  C$

  2. $I, V \ and\  X$

  3. $V, L\   and\  D$

  4. $D$


Correct Option: A
Explanation:

As per the rules of writing Roman numbers, Only $I, X, C$, and  $M$  can be repeated; $ V, L$ , and $ D$  cannot be repeated.

Hence, Numerals that can be repeated in Roman system are  $I, X \ and \ C $

Roman numeral for the greatest single digit number is  

  1. XI

  2. IC

  3. IX

  4. ID


Correct Option: C
Explanation:

$IX=9$

X can be subtracted from

  1. $L$ and $ C$

  2. $D$  and $ M$

  3. $D $ only

  4. $M $ only


Correct Option: A
Explanation:

While writing Roman Numbers, do not subtract a number from one that is more than  $10$  times greater (that is, you can subtract  $1$  from $10 [IX]$  but not $ 1$  from $ 20$  there is no such number as $ IXX.)$
Hence,$ X (10)$  can be subtracted from $ L (50) \ and \ C (100)$

Write $39$ in roman numbers

  1. XXXIX

  2. XXXXI

  3. XXXX

  4. None of these


Correct Option: A
Explanation:
To convert $39$ to Roman Numerals we need to split it up into place values (ones, tens, hundreds, etc.), like this:

Place Value Number Roman Numeral
Tens            $30$ $XXX$
Ones               $9$ $IX$


Please note, we skipped place values that equal 0.

You then combine them all together (starting from the top) to get $XXXIX.$
So option A is the correct answer.

Roman numerals for $498$

  1. CDCXVIII

  2. CDCXIV

  3. CDXCVIII

  4. CDXCVII


Correct Option: C
Explanation:

The Roman numerals are represented by the following letters:

I = 1

V = 5

X = 10

L = 50

C = 100

D = 500

M = 1000

If a numeral is followed by another numeral of lower denomination, the two are added together;

if it is preceded by one of lower denomination, the smaller numeral is subtracted from the greater.

400 + 90 + 8 = CDXCVIII

$CDXCVIII=498$