Tag: forming numbers

Questions Related to forming numbers

A three digit number from the given digits $2, 5, 7,9$ which divisible by 2.

maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

  1. $257$

  2. $925$

  3. $527$

  4. $752$

Show answer
Correct Option: D
Explanation:

Consider the given digits.

$2, 5, 7, 9$

If a number which is divided by $2$, then the units digit must be even.

So, from the given options there is only one option which has unit digit $2$.

Hence, the three digit number will be $752$.

Hence, this is the answer.

Let the given digits be $2, 3, 6,7$, find the greatest three digit number that can be formed with using the given digits only once.

maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

  1. $763$

  2. $736$

  3. $723$

  4. $732$

Show answer
Correct Option: A
Explanation:

$2,3,6,7$

Greatest three digit number will be formed my largest of the three digits from the given ones, i.e. $7,6,3$

Greatest three digits number possible $= 763$

Form a three digits even number using the digits $7, 6, 9.$

maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

  1. $796$

  2. $769$

  3. $976$

  4. $967$

Show answer
Correct Option: A,C
Explanation:

the number formed using given digits are

$769,796,976,967,679,697$
Even numbers are $796,976$

Find the greatest three-digit number using the digits $7, 6, 3$

maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

  1. $763$

  2. $367$

  3. $637$

  4. $376$

Show answer
Correct Option: A
Explanation:
The descending order of the given numbers $7,6,3$ is:

$7>6>3$ 

We observe that the smallest digit is $3$ and the largest digit is $7$, so the number should start with $7$ and end with $3$.
 
Thus, the largest number formed is $763$.

Hence, the greatest three digit number formed is $763$.

Find a smallest three digit number using the digits $4,7,9$

maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

  1. $974$

  2. $497$

  3. $479$

  4. $794$

Show answer
Correct Option: C
Explanation:

Smallest three digit number which can be formed is if we arrange them in ascending order, i.e. $479$


Hence $479$ is the smallest three digit number.

Mohit has five number cards with numbers $7,9,0,5$ and $2$. Raman asked him to from the greatest $5$-digit even number with his cards. From the number Mohit has to form.

maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

  1. $97520$

  2. $97502$

  3. $27509$

  4. $75902$

Show answer
Correct Option: A
Explanation:

According to given information
The $5$-digit number is even
$\therefore$ $5$th number will be $0$ or $2$ which are the only even numbers
So, the greatest $5$-digit even number that can be formed is $97520$

Which of the following will be the last digit of the second highest number after the positions of the digits in each number is reversed? 

$738, 429, 156, 273, 894$.

maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

  1. $1$

  2. $2$

  3. $4$

  4. $7$

Show answer
Correct Option: D
Explanation:
The given sequence is : $738,429,156,273,894$
After reversing the digits, the sequence becomes : $837, 924, 651, 372, 498$.
The second highest number is $837$ and it's last digit is $7$.
Hence, $7$ is the correct answer.

$a, b, c (a > c)$ are three digits from left to right, of a three digits number. If the number with these digits reversed is subtracted from the original number, the resulting number has the digits 4 in its unit place. The other two digits from left to right are

maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

  1. 5 and 4

  2. 5 and 9

  3. 4 and 5

  4. 9 and 5

Show answer
Correct Option: B
Explanation:

$ Let\quad the\quad number\quad be\quad written\quad as\quad follows\ Place\quad value\quad \longrightarrow Hundreds\quad \quad \quad Tens\quad \quad \quad Units\ \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad a\quad \quad \quad \quad \quad \quad \quad \quad b\quad \quad \quad \quad \quad \quad c\ Reversing\quad \longrightarrow \quad \quad \quad \quad \quad c\quad \quad \quad \quad \quad \quad \quad \quad b\quad \quad \quad \quad \quad \quad a\ \ Units\quad place:-\quad Given\quad a>c\ \therefore \quad We\quad borrow\quad 10\quad and\quad the\quad result\quad is\quad \ \quad \quad c+10-a=4\ \Rightarrow a=c+6----(1)\ Tens\quad place:-\quad upper\quad row\quad b\quad has\quad become\quad b-1\ \therefore \quad We\quad borrow\quad 10\quad and\quad the\quad result\quad is\ \quad \quad (b-1+10)-b=9.\ Hundreds\quad place:-\quad a\quad has\quad become\quad a-1\ \therefore \quad (a-1)-c\quad is\quad the\quad result.\ Substituting\quad the\quad value\quad of\quad a\quad from\quad (1),\quad the\quad result\ will\quad be\quad c+6-1-c=5\ \therefore \quad The\quad other\quad two\quad numbers\quad are\quad 5,\quad 9\quad \quad (Ans)\ \quad \quad (i.e.\quad The\quad result\quad is\quad 594) $

How many positive integers less than $1000$ are $6$ times the sum of their digits ?

maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

  1. $0$

  2. $1$

  3. $2$

  4. $4$

Show answer
Correct Option: B

Find the greatest number that will divide $400$, $435$ and $541$ leaving $9$, $10$ and $14$ as remainders respectively

maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

  1. $17$

  2. $4$

  3. $55$

  4. $11$

Show answer
Correct Option: A
Explanation:

$400-9=391$


$435-10=425$


$541-14=527$

$391=17\times23$

$425=5\times5\times17$

$527=17\times31$

 HCF of $391,425$ and $527=17$ 

Required number$=17$