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

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 $= 763$

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 greatest three-digit number using the digits $7, 6, 3$

  1. $763$
  2. $367$
  3. $637$
  4. $376$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
The descending order of the given numbers $7,6,3$ is:

$7>6>3$ 

We observe that the smallest digit is $3$ and the largest digit is $7$, so the number should start with $7$ and end with $3$.
 
Thus, the largest number formed is $763$.

Hence, the greatest three digit number formed is $763$.
Multiple choice maths numbers and place value forming numbers formation of greatest and smallest numbers identifying the largest and smallest numbers with given digits

Mohit has five number cards with numbers $7,9,0,5$ and $2$. Raman asked him to from the greatest $5$-digit even number with his cards. From the number Mohit has to form.

  1. $97520$
  2. $97502$
  3. $27509$
  4. $75902$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

According to given information
The $5$-digit number is even
$\therefore$ $5$th number will be $0$ or $2$ which are the only even numbers
So, the greatest $5$-digit even number that can be formed is $97520$

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 will be the last digit of the second highest number after the positions of the digits in each number is reversed? 

$738, 429, 156, 273, 894$.

  1. $1$
  2. $2$
  3. $4$
  4. $7$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
The given sequence is : $738,429,156,273,894$
After reversing the digits, the sequence becomes : $837, 924, 651, 372, 498$.
The second highest number is $837$ and it's last digit is $7$.
Hence, $7$ is the correct 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

$a, b, c (a > c)$ are three digits from left to right, of a three digits number. If the number with these digits reversed is subtracted from the original number, the resulting number has the digits 4 in its unit place. The other two digits from left to right are

  1. 5 and 4

  2. 5 and 9

  3. 4 and 5

  4. 9 and 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$ Let\quad the\quad number\quad be\quad written\quad as\quad follows\ Place\quad value\quad \longrightarrow Hundreds\quad \quad \quad Tens\quad \quad \quad Units\ \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad a\quad \quad \quad \quad \quad \quad \quad \quad b\quad \quad \quad \quad \quad \quad c\ Reversing\quad \longrightarrow \quad \quad \quad \quad \quad c\quad \quad \quad \quad \quad \quad \quad \quad b\quad \quad \quad \quad \quad \quad a\ \ Units\quad place:-\quad Given\quad a>c\ \therefore \quad We\quad borrow\quad 10\quad and\quad the\quad result\quad is\quad \ \quad \quad c+10-a=4\ \Rightarrow a=c+6----(1)\ Tens\quad place:-\quad upper\quad row\quad b\quad has\quad become\quad b-1\ \therefore \quad We\quad borrow\quad 10\quad and\quad the\quad result\quad is\ \quad \quad (b-1+10)-b=9.\ Hundreds\quad place:-\quad a\quad has\quad become\quad a-1\ \therefore \quad (a-1)-c\quad is\quad the\quad result.\ Substituting\quad the\quad value\quad of\quad a\quad from\quad (1),\quad the\quad result\ will\quad be\quad c+6-1-c=5\ \therefore \quad The\quad other\quad two\quad numbers\quad are\quad 5,\quad 9\quad \quad (Ans)\ \quad \quad (i.e.\quad The\quad result\quad is\quad 594) $

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

How many positive integers less than $1000$ are $6$ times the sum of their digits ?

  1. $0$
  2. $1$
  3. $2$
  4. $4$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number be 10x + y (for 2 digits) or 100x + 10y + z (for 3 digits). Solving 10x + y = 6(x + y) gives 4x = 5y, so x=5, y=4 (number 54). Checking 3 digits: 100x + 10y + z = 6(x + y + z) leads to 94x + 4y = 5z, which has no solutions for digits x, y, z.

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 greatest number that will divide $400$, $435$ and $541$ leaving $9$, $10$ and $14$ as remainders respectively

  1. $17$
  2. $4$
  3. $55$
  4. $11$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$400-9=391$


$435-10=425$


$541-14=527$

$391=17\times23$

$425=5\times5\times17$

$527=17\times31$

 HCF of $391,425$ and $527=17$ 

Required number$=17$