Questions Related to maths

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 $= 367$

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

A three digit number from the given digits $2, 5, 7,9$ which divisible by 2.

  1. $257$
  2. $925$
  3. $527$
  4. $752$
Reveal answer Fill a bubble to check yourself
D Correct answer
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.

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

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.

  1. $763$
  2. $736$
  3. $723$
  4. $732$
Reveal answer Fill a bubble to check yourself
A Correct answer
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 $= 763$