Questions Related to maths

Multiple choice 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

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.

  1. 12.31 kg

  2. 19.31 kg

  3. 13.31 kg

  4. 14.31 kg

Reveal answer Fill a bubble to check yourself
C Correct answer
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$
 

Multiple choice 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

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 $T$?

  1. $52.4$ $kg$
  2. $53.2$ $kg$
  3. $53.8$ $kg$
  4. Data inadequate

Reveal answer Fill a bubble to check yourself
D Correct answer
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

Multiple choice 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

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

  1. 128

  2. 512

  3. 64

  4. 32

Reveal answer Fill a bubble to check yourself
C Correct answer
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  $

Multiple choice 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

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 ?

  1. $9$ gms
  2. $24$ gms
  3. $33$ gms
  4. $41$ gms
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

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

Multiple choice 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

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.

  1. $193$ kg $634$ g
  2. $165$ kg $534$ g
  3. $149$ kg $445$ g
  4. $125$ kg $356$ g
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Total weight of wheat sold$=\left( 87.356+106.278 \right) ㎏$
$=193.634㎏$
$=193 ㎏ 634 gm$
Multiple choice 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

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?

  1. $1$ kg $225$ g
  2. $2$ kg $225$ g
  3. $1$ kg $100$ g
  4. $2$ kg $347$ g
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
Quantity of sweets and snacks left$=\left( 8.593-6.368 \right) ㎏=2.225㎏$
$=2$ ㎏ $225$ gm
Multiple choice 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

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?

  1. $13$ kg $405$ g
  2. $13$ kg $534$ g
  3. $13$ kg $62$ g
  4. $13$ kg $302$ g
Reveal answer Fill a bubble to check yourself
C Correct answer
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
Multiple choice 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

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

  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
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation
Weight of Nancy is less than Kaley's weight by
$\left( 48.405-34.560 \right) =13.845㎏$
$13#$ ㎏ $845$ gm
Multiple choice 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

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? 

  1. Sudha bought more $400$ g
  2. Sara bought more $250$ g
  3. Sudha bought more $300$ g
  4. Sara bought more $200$ g
Reveal answer Fill a bubble to check yourself
D Correct answer
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