Tag: maths

Questions Related to maths

'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 $2,7,5,1$.

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 :

maths frequency polygons data handling and analysis frequency polygon and frequency curve diagrammatic presentation of data

  1. upper limits of the classes

  2. lower limits of the classes

  3. class marks of the classes

  4. upper limits of perceeding classes

Show answer
Correct Option: C
Explanation:

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

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

vedic methods of multiplication history of mathematics maths

  1. $16$

  2. $15$

  3. $17$

  4. $17000$

Show answer
Correct Option: C
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.

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 ? 

vedic methods of multiplication history of mathematics maths

  1. $\displaystyle{\dfrac{2}{9}}$ hour

  2. $\displaystyle{\dfrac{1}{3}}$ hour

  3. $\displaystyle{\dfrac{1}{2}}$ hour

  4. $\displaystyle{\dfrac{2}{3}}$ hour

Show answer
Correct Option: C
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.