Tag: forming numbers

Questions Related to forming numbers

If + means $ \div$, $ \times $ means - , - means $ \times $ & $ \div $means +, then $ 38+ 19-16\times 17 \div 3 $ is equal to

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

  1. 16

  2. 19

  3. 18

  4. 12

Show answer
Correct Option: C
Explanation:
$ 38+ 19-16\times 17 \div 3 $ converts to 

$38 ÷ 19 × 16 - 17 + 3$

$= \dfrac{38}{19} × 16 - 17 + 3$

$= 2 × 16 - 17 + 3$
$= 32 - 17 + 3$
$= 35 - 17$
$= 18$

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:

Smallest 7-digit number
$= 1000000$

Greatest 6 digit number$=999999$
also $1 + 99999$
$= 1000000$

The three digit number formed by $4, 6$ and $2$ is/are

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

  1. $462$

  2. $264$

  3. $642$

  4. All of the above

Show answer
Correct Option: D
Explanation:

The numbers formed by $4$,$6$ and $2$ are $462$ ,$264$ and $642$.

So, option D is correct.

'6 less than ten times a' is written as

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

  1. 6 - 10a

  2. 10a - 6

  3. 10ac

  4. $6\, <\, 10\, \times\, a\, $

Show answer
Correct Option: D
Explanation:

    It is clear from options.It is just expressed in mathematical form.

Find a smallest four digit number using the digits $7,8,9,5$ such that the number thus formed has $9$ at its hundreds place and $8$ at its one's place.

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

  1. $5978$

  2. $7598$

  3. $7958$

  4. $7985$

Show answer
Correct Option: A
Explanation:
The ascending order of the given numbers $7,8,9,5$ is:

$5 < 7 < 8 < 9$ 

We observe that the smallest digit is $5$ and the largest digit is $9$.
 
Therefore, the smallest number formed is $5789$.

But it is given that the number formed should have $9$ at its hundredth place and $8$ at its one's place, therfore, the required number is:

$5978$ where $8$ is at one's place, $7$ is at tens place, $9$ is at hundredth place and $5$ is at thousandth place. 

Hence, the smallest $4$ digit number formed is $5978$.

 Write the smallest $4$ digit number formed using the digits $8,3,0,1$.

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

  1. $1038$

  2. $1308$

  3. $1083$

  4. $0138$

Show answer
Correct Option: A
Explanation:
The ascending order of the given numbers $8,3,0,1$ is:

$0 < 1 < 3 < 8$ 

A number cannot begin with $0$, so we will put it in the second place. 

The smallest digit (other than $0$) is $1$. 

Therefore, the number will begin with $1$.
 
Thus, the smallest number formed is $1038$.

Hence, the smallest $4$ digit number formed is $1038$.

Which among the following  is a four digit prime number using the digits $1,7,0,9$?

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

  1. $1790$

  2. $1709$

  3. $9710$

  4. $7910$

Show answer
Correct Option: B
Explanation:
A prime number is a number which is only divisible by itself and $1$.

(a) $1790$ is divisible by $2$, so it is not a four digit prime number.

(b) $1709$ is only divisible by itself, so it is a four digit prime number.

(c) $9710$ is divisible by $2$, so it is not a four digit prime number.

(d) $7910$ is divisible by $2$, so it is not a four digit prime number.

Hence, $1709$ is a four digit prime number using the digits $1,7,0,9$.

Find the sum of smallest three digit even number and greatest three-digit odd number using the digits $6, 2, 3$

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

  1. $859$

  2. $958$

  3. $598$

  4. $985$

Show answer
Correct Option: A
Explanation:
The three digit numbers that can be formed using the digits $6,2,3$ are $623,632,263,236,362,326$ in which the odd numbers are $623,263$ and the even numbers are $632,236,362,326$.

The smallest even number is $236$ and the greatest odd number is $623$ and their sum can be determined as:

$236+623=859$

Hence, the sum of smallest three digit even number and greatest three-digit odd number using the digits $6,2,3$ is $859$.

Find a three-digit number using the digits $6, 7, 4$ such that the resultant number is divisible by 4

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

  1. $746$

  2. $764$

  3. $467$

  4. $647$

Show answer
Correct Option: B
Explanation:
(a) Let us take a number $746$ using the digits $6,7,4$ and divide it by $4$ as follows:

$\dfrac {746}{4}=\dfrac {373}{2}$

Therefore, $746$ is not divisible by $4$.

(b) Let us take a number $764$ using the digits $6,7,4$ and divide it by $4$ as follows:

$\dfrac {764}{4}=191$

Therefore, $764$ is divisible by $4$.

(c) Let us take a number $467$ using the digits $6,7,4$ and divide it by $4$ as follows:

$\dfrac {467}{4}$

Therefore, $467$ is not divisible by $4$.


(d) Let us take a number $647$ using the digits $6,7,4$ and divide it by $4$ as follows:

$\dfrac {647}{4}$

Therefore, $647$ is not divisible by $4$.

Hence, only $764$ is divisible by $4$.

Find an even $4$ digit number using $2, 7, 5,1$.

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

  1. $7512$

  2. $5217$

  3. $7125$

  4. $1275$

Show answer
Correct Option: A
Explanation:
An even number is an integer which is "evenly divisible" by two. This means that if the integer is divided by $2$, it yields no remainder.

(a) $7512$ is divisible by $2$ as $\dfrac {7512}{2}=3756$, so it is a four digit even number.

(b) $5217$ is not divisible by $2$, so it is not a four digit even number.

(c) $7125$ is not divisible by $2$, so it is not a four digit even number.

(d) $1275$ is not divisible by $2$, so it is not a four digit even number.

Hence, $7512$ is a four digit even number using the digits $2,7,5,1$.