Tag: maths

Questions Related to maths

Medicine is packed in boxes, each weighing $4$ kg $500$ g. How many such boxes can be loaded in a van which cannot carry beyond $800$ kg?

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $177$

  2. $189$

  3. $175$

  4. $165$

Show answer
Correct Option: A
Explanation:
Weight of each box $ kg $500$ g $= 4.5$ kg
Capacity of van $= 800$ kg
$\therefore$ Number of boxes, the van can carry $=$ $\dfrac {800} {4.5}$ $= 177.77 = 177 $ {approax}

The weight of a $13$ m long iron rod is $23.4$ kg. The weight of $6$ m long of such rod will be _______.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $7.2$ kg

  2. $12.4$ kg

  3. $10.8$ kg

  4. $18$ kg

Show answer
Correct Option: C
Explanation:
Given that $13$ m weighs $23.4$ kg
So, $1$ m  will weigh $\dfrac {23.4}{13}$ kg
So, $6$ m weighs $\dfrac {23.4}{13}\times 6$ kg $=10.8$ kg
Option C is correct.

With the use of three different weights, namely, $1$ gms, $3$ gms, and $9$ gms, how many objects of different weights can be weighed, if the object has to be weighed and the given weights may be placed in either pan of the scale?

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $15$

  2. $13$

  3. $11$

  4. $9$

  5. $7$

Show answer
Correct Option: B
Explanation:
Weights used No. of weighings possible
1. singly $3$
2. two at a time (Same pan) $3$
3. Three at a time (Same pan) $1$
4. two at a time (diff. pans) $3$
5. three at a time (diff. pans) $3$
Total $13$

Pugazhenthi ate $100\ g$ of nuts which is equal to $0.1\ kg$.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. True

  2. False

Show answer
Correct Option: A

Meena bought $250\ ml$ of buttermilk which is equal to $2.5\ l$.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. True

  2. False

Show answer
Correct Option: A

Gayathri bought $1\ kg$ of birthday cake. She shared $450\ g$ with her friends. The weight of cake remaining is $650\ g$.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. True

  2. False

Show answer
Correct Option: A

Express $4.6$ liters in milliliters.

maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

  1. $460$

  2. $4600$

  3. $46000$

  4. $0.46$

Show answer
Correct Option: B
Explanation:

$1$ liter is equal to $1000$ milliliters
Therefore, $4.6$ liters is equal to 

$4.6$ liters $=\dfrac {46}{10}\times 1000$ milliliters
$=4600$ milliliters

The simplified form of the expression $\left[15-\left{12-\left(7-\overline{6-2}\right)\right}\right]$ will be 

maths concept of directed numbers and number line addition of directed numbers addition of integers addition of integers on number line

  1. $6$

  2. $3+3$

  3. $8$

  4. $2$ x $4$

Show answer
Correct Option: A
Explanation:

$ \left[15-\left{12-\left(7-\overline{6-2}\right)\right}\right]$


$=\left[15-\left{12-\left(7-4\right)\right}\right]$

$=\left[15-\left{12-\left(3\right)\right}\right]$

$= 15-9$

$=6$

$\text{Option A is correct.}$

Solve it:-
$a:b$=$5:8$ +$b:c$=$16:25$
Find  $a:c.$

maths ratio, proportion and unitary method more on proportion terms related to proportion proportion

  1. $6:625$

  2. $6:825$

  3. $9:625$

  4. $6:25$

Show answer
Correct Option: A
Explanation:

$\dfrac{a}{b}=\dfrac58+\dfrac bc=\dfrac{16}{25}$


Hence, $a=\dfrac{16}{25}b\\dfrac bc=\dfrac{16}{25}-\dfrac58\Rightarrow c=\dfrac{b*25*8}{3}$

Now, $a:c=\dfrac ac=\dfrac{\dfrac{16}{25}b}{\dfrac{b\times25\times8}{3}}=\dfrac{6}{625}$

One $cm$ is equal to $10\ mm$. How many squares $mm$ are there in one square $cm$?

maths ratio, proportion and unitary method more on proportion terms related to proportion proportion

  1. $10\ sq.\ mm$

  2. $20\ sq.\ mm$

  3. $100\ sq.\ mm$

  4. $1000\ sq.\ mm$

Show answer
Correct Option: C
Explanation:
$1\ cm = 10\ mm$
$\therefore 1\ cm\times 1\ cm = 1\ cm^{2}$
$\therefore 1\ cm\times 1\ cm = 10\ mm\times 10\ mm$
$\therefore 1\ cm^{2}=100\ m^{2}$