Tag: forming numbers

Questions Related to forming numbers

The smallest $7$ digit number is

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

  1. $1000000$

  2. $1:+$ greatest $6$ digit number

  3. either A or B

  4. none of these

Show answer
Correct Option: C
Explanation:

(C) Smallest 7-digit number
$=1000000$
also $1+999999$
$=1000000$
So, answer is either A or B.

Smallest 6-digit number that can be formed by the digits 9, 6, 0, 5, 8, 1 is

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

  1. $015,689$

  2. $1,05,689$

  3. $5,01,689$

  4. $9,86,510$

Show answer
Correct Option: B
Explanation:

$\Rightarrow$  The given numbers are $9,\,6,\,0,\,5,\,8,\,1$

$\Rightarrow$  To form smallest 6-digit number, we have to start number with smallest digit and end with largest digit.
$\Rightarrow$  Here, we can not use $0$ as first digit because then number will becomes 5 digit.
$\therefore$   The smallest 6-digit number = $1,05,689$.

Smallest 6-digit number that can be formed by the digits 9, 6, 0, 5, 8, 1 is 

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

  1. 0,15,689

  2. 1,05,689

  3. 5,01,689

  4. 9,86,510

Show answer
Correct Option: B
Explanation:

Smallest  6  digit number that can be formed by the digits 9,6,0,5,8,1 is  1,05,689.  

 0 cannot  in the first place . Then it will become 5 digit number.

Which of the following are the three digit numbers that can be formed by using $0, 1$ and $2$ 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. $102$

  2. $201$

  3. $012$

  4. None of the above

Show answer
Correct Option: A,B
Explanation:

Three digit numbers that can be formed from 0, 1 and 2 are $102$ and $201$.
So, (c) is not a three digit number.

So, options A and B are correct.

The greatest number formed by $9, 8$ and $7$ is

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

  1. $987$

  2. $789$

  3. $897$

  4. None of the above

Show answer
Correct Option: A
Explanation:
The 3 digit numbers formed by $9, 8$ and $7$ are $987, 978, 897, 879, 798$ and $789$.
The greatest number is $987$.
So. option A is correct.

The smallest three digit number formed by the digits $2, 0$ and $3$.

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

  1. $203$

  2. $032$

  3. $302$

  4. None of the above

Show answer
Correct Option: A
Explanation:

The numbers formed by $2, 0$ and $3$ are $203, 302, 023, 320, 230$ and $032$.

The smallest 3 digit number formed is $203$.
So, option A is correct.

Find the correct option such that the formation of $3$ numbers, using three digit number $128$? (Without repeating the numbers)

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

  1. $281, 221$ and $182$

  2. $281, 851$ and $182$

  3. $681, 821$ and $182$

  4. $281, 821$ and $182$

Show answer
Correct Option: D
Explanation:

$128$ can be written using the general form $abc = 100 \times  a + 10 \times  b + c$
By changing the alphabetic orders of $a, b, c$, we get $3$ more numbers from $3$ digit number.
Here, $281, 821$ and $182$ are formed from the $3$ digit number $128$.

Which of the following fractions is the largest?

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

  1. $\dfrac { 7 }{ 8 } $

  2. $\dfrac { 13 }{ 16 } $

  3. $\dfrac { 31 }{ 40 } $

  4. $\dfrac { 63 }{ 80 } $

Show answer
Correct Option: A
Explanation:

L.C.M. of $8$, $16$, $40$ and $80 = 80$.
$\dfrac { 7 }{ 8 } =\dfrac { 70 }{ 80 }$; $\dfrac { 13 }{ 16 } =\dfrac { 65 }{ 80 }$; $\dfrac { 31 }{ 40 } =\dfrac { 62 }{ 80 } $


Since, $\dfrac { 70 }{ 80 } > \dfrac { 65 }{ 80 } > \dfrac { 63 }{ 80 } > \dfrac { 62 }{ 80 } $

       So $\dfrac { 7 }{ 8 } > \dfrac { 13 }{ 16 } > \dfrac { 63 }{ 80 } > \dfrac { 31 }{ 40 } $
      $\therefore$ $\dfrac { 7 }{ 8 } $ is the largest.

Which of the following fractions is greater than $\dfrac { 3 }{ 4 } $ and less than $\dfrac { 5 }{ 6 } $?

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

  1. $\dfrac { 1 }{ 2 } $

  2. $\dfrac { 2 }{ 3 } $

  3. $\dfrac { 4 }{ 5 } $

  4. $\dfrac { 9 }{ 10 } $

Show answer
Correct Option: C
Explanation:

$\dfrac { 3 }{ 4 } =0.75,\quad \dfrac { 5 }{ 6 } =0.833,\quad \dfrac { 1 }{ 2 } =0.5,\quad \dfrac { 2 }{ 3 } =0.66,\quad \dfrac { 4 }{ 5 } =0.8,\quad \dfrac { 9 }{ 10 } =0.9$.


Clearly, $0.8$ lies between $0.75$ and $0.833$.

$\therefore \dfrac { 4 }{ 5 } $ lies between $\dfrac { 3 }{ 4 } $ and $\dfrac { 5 }{ 6 } $.

The smallest three-digit number using the digits $3, 9, 7, 8, 6$ (repetition not allowed) is

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

  1. $387$

  2. $367$

  3. $389$

  4. $386$

Show answer
Correct Option: B
Explanation:

$3,9,7,8,6$

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

Smallest three digits number possible $= 367$