Tag: maths

Questions Related to maths

A metal pipe has a bore (inner diameter) of 5 cm. The pipe is 5 mm thick all  round. Find the weight, in the kilogram, of 2 meters of the pipe if 1 $\displaystyle cm^{3}$ of the metal weighs 7.7 g.

maths how much does it weigh? define weight and units of weight using decimals in weight conversion of length measurement (length) basic operations with same units operations involving units of length

  1. 12.31 kg

  2. 19.31 kg

  3. 13.31 kg

  4. 14.31 kg

Show answer
Correct Option: C
Explanation:

Inner diameter=5 cm. radius=2.5cm
thickness =5mm=0.5cm
outer radius=2.5+0.5=3cm
length=2m=200cm
volume of pipe=
$V=\Pi { (R }^{ 2 }-{ r }^{ 2 })h$
$V=3.14{ (3 }^{ 2 }-{ 2.5 }^{ 2 })200$
$V=22/7(9-6.25)200$
$V=12100/7{ cm }^{ 3 }$
 1 $cm^3$ of the metal weighs 7.7 $g$.
$ So, \cfrac{12100}{7} cm^{3} \hspace {1 mm} weighs =7.7\cfrac{12100}{7} gm =13310 \hspace {1 mm} gm = 13.31 kg$
 

The average weight of three boys $P$, $Q$ and $R$ is $\displaystyle 54\frac {1}{3}$ $Kg$, while the average weight of three boys $Q$, $S$ and $T$ is $53$ $kg$. What is the average weight of $P$, $Q$, $R$, $S$ and $T$?

maths how much does it weigh? define weight and units of weight using decimals in weight conversion of length measurement (length) basic operations with same units operations involving units of length

  1. $52.4$ $kg$

  2. $53.2$ $kg$

  3. $53.8$ $kg$

  4. Data inadequate

Show answer
Correct Option: D
Explanation:

As per question, 
$P+Q+R=54\frac { 1 }{ 3 } $---------eq 1
$Q+S+T=53 $-----------eq2
Here is 5 variable and 2 euqation.Data inadequate to solve the question.
Answer (D) Data inadequate

How many smaller solid balls of radius 2 cm can be made by melting a solid sphere of radius 8 cm?

maths how much does it weigh? define weight and units of weight using decimals in weight conversion of length measurement (length) basic operations with same units operations involving units of length

  1. 128

  2. 512

  3. 64

  4. 32

Show answer
Correct Option: C
Explanation:

Number of balls made $ = \dfrac {Volume  of   sphere } {Volume  of 

each  spherical  ball} $
Volume of a sphere of radius 'r' $ = \dfrac { 4 }{ 3 } \pi { r }^{ 3 } $

Hence, number of balls made $ =\dfrac { \dfrac { 4 }{ 3 } \pi \times  { 8 }^{ 3 } }{ \dfrac { 4 }{ 3 } \pi \times { 2 }^{ 3 } } = 64  $

If $\square =2$ and $\triangle =4$. Then $6\times \square - 3\times \triangle =$ ?

maths how much does it weigh? define weight and units of weight using decimals in weight conversion of length measurement (length) basic operations with same units operations involving units of length

  1. $0$

  2. $1$

  3. $3$

  4. $2$

Show answer
Correct Option: A
Explanation:
$\Box =2,\triangle =4,$, then $6\times \Box -3\times \triangle =?$
$\Rightarrow 6\times 2-3\times 4=12-12=0$

Weight of one balloon is $3$ gms and of one string is $4$ gms. Then what is the combined weight of $3$ balloons and $6$ strings ?

maths how much does it weigh? define weight and units of weight using decimals in weight conversion of length measurement (length) basic operations with same units operations involving units of length

  1. $9$ gms

  2. $24$ gms

  3. $33$ gms

  4. $41$ gms

Show answer
Correct Option: C
Explanation:

Total weight$=\left( 3\times 3 \right) +\left( 6\times 4 \right) =33 gm$

A shopkeeper sold 87 kg 356 g of wheat on Saturday and 106 kg 278 g of wheat on Sunday. Find the total weight of wheat sold on both the days.

maths how much does it weigh? define weight and units of weight using decimals in weight conversion of length measurement (length) basic operations with same units operations involving units of length

  1. $193$ kg $634$ g

  2. $165$ kg $534$ g

  3. $149$ kg $445$ g

  4. $125$ kg $356$ g

Show answer
Correct Option: A
Explanation:
Total weight of wheat sold$=\left( 87.356+106.278 \right) ㎏$
$=193.634㎏$
$=193 ㎏ 634 gm$

Granny purchased $8$ kg $593$ g of sweets and snacks for the occasion. Out of which $6$ kg $368$ g were consumed. What quantity of sweets and snacks were left?

maths how much does it weigh? define weight and units of weight using decimals in weight conversion of length measurement (length) basic operations with same units operations involving units of length

  1. $1$ kg $225$ g

  2. $2$ kg $225$ g

  3. $1$ kg $100$ g

  4. $2$ kg $347$ g

Show answer
Correct Option: B
Explanation:
Quantity of sweets and snacks left$=\left( 8.593-6.368 \right) ㎏=2.225㎏$
$=2$ ㎏ $225$ gm

Southee purchased $8$ kg $428$ g of grain and Miln purchased $4$ kg $634$ g more. What quantity of grain did Jasmine and Melissa purchase?

maths how much does it weigh? define weight and units of weight using decimals in weight conversion of length measurement (length) basic operations with same units operations involving units of length

  1. $13$ kg $405$ g

  2. $13$ kg $534$ g

  3. $13$ kg $62$ g

  4. $13$ kg $302$ g

Show answer
Correct Option: C
Explanation:
Southee purchased $8.428\ kg$ grain and Miln purchased $4. 634\ kg$ 

Quantity purchased by Southee and Miln$=\left( 8.428+4.634 \right) ㎏$
$=13.062$ ㎏ $=13㎏62$ gm

Kaley weight $48$ kg $405$ g and Nancy weights $34$ kg $560$ g. Who weighs less and by how much?

maths how much does it weigh? define weight and units of weight using decimals in weight conversion of length measurement (length) basic operations with same units operations involving units of length

  1. Kaley weighs less by $15$ kg $345$ g

  2. Nancy weighs less by $15$ kg $345$ g

  3. Kaley weighs less by $13$ kg $845$ g

  4. Nancy weighs less by $13$ kg $845$ g

Show answer
Correct Option: D
Explanation:
Weight of Nancy is less than Kaley's weight by
$\left( 48.405-34.560 \right) =13.845㎏$
$13#$ ㎏ $845$ gm

Sara bought $10$ apples and $5$ bananas and Sudha bought $6$ apples and $9$ bananas. If one apple weighs $250$ g whereas $1$ banana weighs $200$ g then who bought more fruits in terms of weight? 

maths how much does it weigh? define weight and units of weight using decimals in weight conversion of length measurement (length) basic operations with same units operations involving units of length

  1. Sudha bought more $400$ g

  2. Sara bought more $250$ g

  3. Sudha bought more $300$ g

  4. Sara bought more $200$ g

Show answer
Correct Option: D
Explanation:
Weight bought by Sara$=10\times 250ℊ+5\times 200ℊ=2500ℊ+1000ℊ=3500ℊ$
Weight bought by Sudha$=6\times 250ℊ+9\times 200ℊ=1500ℊ+1800ℊ=3300ℊ$
Sara bought more weight than Sudha by $\left( 3500-3300 \right) 200$ gm