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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

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.

  1. $5978$
  2. $7598$
  3. $7958$
  4. $7985$
Reveal answer Fill a bubble to check yourself
A Correct answer
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 $5978$.

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

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

  1. $1038$
  2. $1308$
  3. $1083$
  4. $0138$
Reveal answer Fill a bubble to check yourself
A Correct answer
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 $1038$.
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 among the following  is a four digit prime number using the digits $1,7,0,9$?

  1. $1790$
  2. $1709$
  3. $9710$
  4. $7910$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $1,7,0,9$.
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 sum of smallest three digit even number and greatest three-digit odd number using the digits $6, 2, 3$

  1. $859$
  2. $958$
  3. $598$
  4. $985$
Reveal answer Fill a bubble to check yourself
A Correct answer
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 $859$.
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 a three-digit number using the digits $6, 7, 4$ such that the resultant number is divisible by 4

  1. $746$
  2. $764$
  3. $467$
  4. $647$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $4$.
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 an even $4$ digit number using $2, 7, 5,1$.

  1. $7512$
  2. $5217$
  3. $7125$
  4. $1275$
Reveal answer Fill a bubble to check yourself
A Correct answer
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 $2,7,5,1$.
Multiple choice maths frequency polygons data handling and analysis frequency polygon and frequency curve diagrammatic presentation of data

For drawing a frequency polygon of a continous frequency distribution, we plot the points whose ordinates are the frequencies of the respective classes and abcissae are respectively :

  1. upper limits of the classes

  2. lower limits of the classes

  3. class marks of the classes

  4. upper limits of perceeding classes
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

We draw the class marks on the abscissae, class marks are the mean of lower and upper limit of the class intervals.

Multiple choice vedic methods of multiplication history of mathematics maths

A jar can hold $4250\,ml$ honey. How much $litre$ honey will be needed to fill $4$ jars?

  1. $16$
  2. $15$
  3. $17$
  4. $17000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
A jar can hold$=4000+250$
$=4250㎖$ honey
Total honey needed to fill
$4$ jars$=4250\times 4$
$=17000㎖$
$=17ℓ$ is the correct answer.
Multiple choice vedic methods of multiplication history of mathematics maths

Monika takes $\displaystyle{\dfrac{1}{6}}$ hour to walk to the playground and $\displaystyle{\dfrac{1}{3}}$ hour to walk from the playground to school. How much time does it take her to walk to the playground and then to school ? 

  1. $\displaystyle{\dfrac{2}{9}}$ hour
  2. $\displaystyle{\dfrac{1}{3}}$ hour
  3. $\displaystyle{\dfrac{1}{2}}$ hour
  4. $\displaystyle{\dfrac{2}{3}}$ hour
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Monika takes $\dfrac{1}{6}$ hour to walk to the playground.

And $\dfrac{1}{3}$ hour to walk from the playground to school.

She will take time to walk to the playground and then to school
$=\dfrac{1}{6}+\dfrac{1}{3}$
$=\dfrac{1+2}{6}$
$=\dfrac{1}{2}$ hour

Hence, this is the answer.