Tag: maths

Questions Related to maths

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 $= 367$

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 $796,976$