Tag: formation of greatest and smallest numbers

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

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

  1. $015,689$
  2. $1,05,689$
  3. $5,01,689$
  4. $9,86,510$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 = $1,05,689$.

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

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

  1. 0,15,689

  2. 1,05,689

  3. 5,01,689

  4. 9,86,510
Reveal answer Fill a bubble to check yourself
B Correct answer
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.

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

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

  1. $102$
  2. $201$
  3. $012$

  4. None of the above
Reveal answer Fill a bubble to check yourself
A,B Correct answer
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.

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

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

  1. $281, 221$ and $182$
  2. $281, 851$ and $182$
  3. $681, 821$ and $182$
  4. $281, 821$ and $182$
Reveal answer Fill a bubble to check yourself
D Correct answer
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 $128$.

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

Which of the following fractions is the largest?

  1. $\dfrac { 7 }{ 8 } $
  2. $\dfrac { 13 }{ 16 } $
  3. $\dfrac { 31 }{ 40 } $
  4. $\dfrac { 63 }{ 80 } $
Reveal answer Fill a bubble to check yourself
A Correct answer
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.

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

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

  1. $\dfrac { 1 }{ 2 } $
  2. $\dfrac { 2 }{ 3 } $
  3. $\dfrac { 4 }{ 5 } $
  4. $\dfrac { 9 }{ 10 } $
Reveal answer Fill a bubble to check yourself
C Correct answer
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 } $.

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

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

  1. $387$
  2. $367$
  3. $389$
  4. $386$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $= 367$