Answer

Verified

453.9k+ views

Hint: - First place cannot be filled with digit zero.

As there are a total 5 numbers so we have to make a smallest five digit odd number.

For an odd number the last digit should be odd.

So from given digits odd numbers are $\left( {1,3,5} \right)$

As we see there is a digit zero in given numbers but we have to make a smallest 5 digit odd number, so numbers cannot start with zero.

After zero the smallest number is 1, so the number is starting from 1.

And the second place of the number should be zero because we have to make a smallest number.

Now the remaining digits are $3,4{\text{ and }}5$, so the last digit is filled with 5 because it is an odd number and the greatest number among these numbers, greatest numbers should be at one’s place because we have to make a smallest number.

Now the remaining digits for ${3^{rd}}{\text{ and }}{4^{th}}$ place are $3{\text{ and }}4$.

Similarly fourth place is filled with second highest number and third place is filled with third highest number.

Therefore fourth place is filled with digit 4.

And the third place is filled with digit 3.

So, the required number is 10345.

Hence option (a) is correct.

Note: - In such types of question, if in given digits there is digit 0, then the number cannot start with zero, because if we start with zero, it become a four digit number which is not the required case, so for smallest number start with lowest digit after that apply digit 0 so that number become smallest then apply the digits using the method which is written above we will get the required answer. If there is only one odd number in the given digits and we have to make an odd number then this digit always comes at last place, remaining 4 digits will follow the same procedure.

As there are a total 5 numbers so we have to make a smallest five digit odd number.

For an odd number the last digit should be odd.

So from given digits odd numbers are $\left( {1,3,5} \right)$

As we see there is a digit zero in given numbers but we have to make a smallest 5 digit odd number, so numbers cannot start with zero.

After zero the smallest number is 1, so the number is starting from 1.

And the second place of the number should be zero because we have to make a smallest number.

Now the remaining digits are $3,4{\text{ and }}5$, so the last digit is filled with 5 because it is an odd number and the greatest number among these numbers, greatest numbers should be at one’s place because we have to make a smallest number.

Now the remaining digits for ${3^{rd}}{\text{ and }}{4^{th}}$ place are $3{\text{ and }}4$.

Similarly fourth place is filled with second highest number and third place is filled with third highest number.

Therefore fourth place is filled with digit 4.

And the third place is filled with digit 3.

So, the required number is 10345.

Hence option (a) is correct.

Note: - In such types of question, if in given digits there is digit 0, then the number cannot start with zero, because if we start with zero, it become a four digit number which is not the required case, so for smallest number start with lowest digit after that apply digit 0 so that number become smallest then apply the digits using the method which is written above we will get the required answer. If there is only one odd number in the given digits and we have to make an odd number then this digit always comes at last place, remaining 4 digits will follow the same procedure.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE