Tag: choosing and converting between units

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Questions Related to choosing and converting between units

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 $13$