Questions Related to maths

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

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?

  1. $177$
  2. $189$
  3. $175$
  4. $165$
Reveal answer Fill a bubble to check yourself
A Correct answer
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}
Multiple choice maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

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

  1. $7.2$ kg
  2. $12.4$ kg
  3. $10.8$ kg
  4. $18$ kg
Reveal answer Fill a bubble to check yourself
C Correct answer
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.
Multiple choice maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

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?

  1. $15$
  2. $13$
  3. $11$
  4. $9$
  5. $7$
Reveal answer Fill a bubble to check yourself
B Correct answer
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 $13$
Multiple choice maths length, mass and capacity problems on measurement choosing and converting between units conversion between different units

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

  1. True

  2. False

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Subtracting the shared portion from the total mass, 1 kg is equal to 1000 g. Subtracting 450 g leaves 1000 minus 450, which equals 550 g, not 650 g. Thus, the statement is false.

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

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

  1. $6$
  2. $3+3$
  3. $8$
  4. $2$ x $4$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

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


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

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

$= 15-9$

$=6$

$\text{Option A is correct.}$

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

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

  1. $6:625$
  2. $6:825$
  3. $9:625$
  4. $6:25$
Reveal answer Fill a bubble to check yourself
A Correct answer
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, $a:c=\dfrac ac=\dfrac{\dfrac{16}{25}b}{\dfrac{b\times25\times8}{3}}=\dfrac{6}{625}$