Tag: define weight and units of weight

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Multiple choice maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

Mr Sahoo attended a 1-day workshop from 09:15 a.m. to half five in the evening. The workshop included a $1\frac{1}{4}$ hour lunch break, two 15 minutes tea breaks and 13 activities, each of equal duration. Calculate the duration of each activity.

  1. $30$ minutes
  2. $20$ minutes
  3. $25$ minutes
  4. $40$ minutes
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total time of the workshop =$8$ hours and $15$ min

$=8 \times 60+15=495 $ min

Total time of tea break = $30$ min

lunch break time = $75$ min

hence time available for 13 activities 
$=495-75-30$ $=6$ hours and $30$ min
$=390 $ min

So, time devoted to each activity $=\dfrac{390}{13}=30$ min

Multiple choice maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

The greatest length which may be used to measure exactly $\displaystyle13\frac{3}{4}:ft$., $\displaystyle17\frac{1}{2}$., 20 ft. and $\displaystyle21\frac{1}{4}:ft$. is given by

  1. 3"

  2. 15"

  3. 18"

  4. 21"
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\displaystyle13\frac{3}{4}:ft=165:inches$

$\displaystyle17\frac{1}{2}:ft=210:inches$ 

$20:ft=240:inches$ 

and $\displaystyle21\frac{1}{4}:ft=255:inches$ 

In order to find the greatest length we have to find the G. C. M. of 165", 210", 240" and 255" and the G. C. M. of these four numbers is 15".

Multiple choice maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

One inch is equivalent to $2.54$ cm. How many centimeters are in two feet? Round your answer to two decimal places.

  1. $5.08$ cm
  2. $12.62$ cm
  3. $60.96$ cm
  4. $30.48$ cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First convert 2 feet to inches and then convert the result to centimeters. One foot is equivalent to 12 inches, so there are 24 inches in 2 feet. Since there are 2.54 cm in a foot, multiply 24 by 2.54 to convert feet to centimeters.
$24$ $\times$ $2.54 = 60.96$
Therefore, there are $60.96$ cm in $2$ feet.

Multiple choice maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

Subtract $778\ m\ 78\ cm$ from $2\ km\ 768\ cm$

  1. $1228.9\ m$
  2. $571.1\ m$
  3. $1221.988\ m$
  4. $189.22\ m$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

First we have to convert both the quantities in $m$

$1\ \ m=100\ \ cm$
$\Rightarrow 1\ \ cm=.01 \ m$
$778 \ \ m\ \ 78\ \ cm =778+.01\times 78=778.78\ \ m$
$1\ \ km=1000\ \ m$
$2\ \ km\ \ 768\ \ cm =2\times1000+.01\times768=2007.68\ \ m$
Now subtracting both 
$2007.86-778.8=1128.9\ \ m$
Option $A$ is correct.

Multiple choice maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

Subtract :
$23.67\ m$ from $1.4\ km$

  1. $116.33$
  2. $1376.33\ m$
  3. $13976.33\ m$
  4. $22.27\ m$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

First we have to convert $km$ into $m$

$1\ \ km=1000\ \ m$
$\Rightarrow 1.4\ \ km=1.4\times1000=1400\ \ m$
Now subtracting both
$1400 \ \ m-23.67\ \ m=1376.33\ \ m$
So option $C$ is correct.

Multiple choice maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

Add $23.456\ m$ and $26.5\ cm$ .

  1. $499.56\ cm$
  2. $49.956\ cm$
  3. $237.16\ cm$
  4. $2372.6\ cm$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
First we have to convert $m$ into $cm$
$1\ \ m=100\ \ cm$
$\Rightarrow 23.456\ \ m=23.456\times100=2345.6\ \ cm$
Now adding both
$2345.6\ \ cm+26.5\ \ cm=2372.6\ \ cm$
None of the options are correct

Multiple choice maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

A pole is painted yellow and black. The yellow part is $1.8\ m$ long and the black is three times longer than yellow part. Find the length of pole.

  1. $5.4\ m$
  2. $7.2\ m$
  3. $3.6\ m$
  4. $none\ of\ these$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Length of yellow Part $=Y=1.8m$

Length of Black Part $=3Y=5.4m=B$
So, Length of Pole $=L=Y+B=1.8+5.4=7.2m$

Multiple choice maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

Rita had $\displaystyle 38\frac { 1 }{ 4 } $ m long rope. She cut it into 5 equal parts. Then the length of each piece will be- 

  1. $\displaystyle 1\frac { 1 }{ 4 } $ m
  2. $\displaystyle 2\frac { 3 }{ 4 } $ m
  3. $\displaystyle 3\frac { 1 }{ 4 } $ m
  4. $\displaystyle 1\frac { 3 }{ 4 } $ m
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Length of the rope $\displaystyle= 8\dfrac { 3 }{ 4 } m\ Number\quad of\quad peices\quad cut\quad =5\ Length\quad of\quad each\quad peice\quad =8\dfrac { 3 }{ 4 } m\div 5=\dfrac { 35 }{ 4 } m\times \dfrac { 1 }{ 5 } \ =\left( \dfrac { 35 }{ 4 } \times \dfrac { 1 }{ 5 }  \right) m=\dfrac { 7 }{ 4 } m=1\dfrac { 3 }{ 4 } m\ \therefore The\quad length\quad of\quad each\quad piece\quad of\quad the\quad rope\quad =1\dfrac { 3 }{ 4 } m.$

Multiple choice maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

If Harry runs $23\ m\ 5\ cm$ and Joy runs $14.37\ m$ from the same starting point, then how far is Joy from Harry.

  1. $8.68\ m$
  2. $9.13\ m$
  3. $86.8\ m$
  4. $91.3\ m$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

We low that $1 m=100 cm$

Hence distance run by Harry $=23 m + 5 cm\=23 m+ \dfrac{5}{100} m\=23.05 m$
Distance run by Joy $=14.37 m$
Distance between them $=23.05 m -14.37 m\=8.68 m$