Tag: maths

Questions Related to maths

Neha, Joy and Karan are helping Uncle Shyam in picking apples. Uncle Shyam gives each of them $230$ apples. How many apples do Neha, Joy and Karan have in all? 

maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

  1. $580$

  2. $690$

  3. $740$

  4. $870$

Show answer
Correct Option: B
Explanation:

$\Rightarrow$  Uncle shyam gives $230$ each apples to Neha, Joy and Karan.

$\Rightarrow$  Total apples Neha, Joy and Karan have in all$=230+230+230=690\,apples.$

If $a+b=30$ and $ab=176$, find $a^{3}+b^{3}$

maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

  1. $10160$

  2. $11060$

  3. $11160$

  4. $None\ of\ these$

Show answer
Correct Option: C
Explanation:

$ a+b=30,ab=176 \ a+b=30 \ \Rightarrow { \left( { a+b } \right) ^{ 2 } }={ \left( { 30 } \right) ^{ 2 } } $


$\Rightarrow { a^{ 2 } }+{ b^{ 2 } }+2ab=900 \ \Rightarrow { a^{ 2 } }+{ b^{ 2 } }+2\times 176=900 \ \Rightarrow { a^{ 2 } }+{ b^{ 2 } }=900-352 \ \Rightarrow { a^{ 2 } }+{ b^{ 2 } }=548$

$Now \ { a^{ 3 } }+{ b^{ 3 } }=\left( { a+b } \right) \left( { { a^{ 2 } }+{ b^{ 2 } }-ab } \right)  \ =30\left( { 548-176 } \right)  \ =30\times 372 \ =11160 $

$(308+264)cm^{2}=572cm^{2}$

maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

$\begin{matrix} \left( { 308+264 } \right) c{ m^{ 2 } }=572c{ m^{ 2 } }   \ It\, \, is\, \, true.\, \, \, \, Ans. \  \end{matrix}$

Find the sum of $-59,\ -41,\ 73,\ -92,\ 81,\ -(-41)$ and $-3$.

maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

  1. $3$

  2. $0$

  3. $1$

  4. $-2$

Show answer
Correct Option: B
Explanation:

$-59, -41, 73, -92, 81, -(-41), -3$.


$=-59+(-41)+73+(-92)+81+[-(-41)]+(-3)$.


$=-59-41+73-92+81+41-3$.

$=73+81+41-59-92-41-3$

$=195-195$

$=0$.

Subtract the second term form first term.
$5p , 11p$

maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

  1. $-6p$

  2. $1p$

  3. $5p$

  4. $12p$

Show answer
Correct Option: A
Explanation:

$5p-11p=-6p$

Hence, the answer is $-6p.$

Subtract : $3x^{2}+2yx$ from $2x^{2}+3yx$

maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

  1. $x^{2}-4xy$

  2. $5x^{2}y$

  3. $xy-x^{2}$

  4. $x^{2}+4xy$

Show answer
Correct Option: C
Explanation:
$(2x^{2}+3yx)-(3x^{2}+2yx)$

$=2x^{2}+3xy-3x^{2}-2xy$

$=-x^{2}+xy\Rightarrow (C)$

State whether true or false 
There is a natural number which when added to a natural number, gives that number.

maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

  1. True

  2. False

Show answer
Correct Option: B
Explanation:

We know that $0$ is the only number which, when added to some other number then it gives the same number.

Since $0$ is not a natural number then the given statement is false.

State whether the following statement is true or false 
There is a whole number which when added to a whole number, gives that number

maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Assume the whole numbers

$p,q$
According to question
$p+q=p$
$q=p-p$
$\boxed{q=0}$
Zero is the whole number which satisfies the condition mentioned in question 
So statement is true.

When the signs are changed as shown below which one of the following equation is correct?
$ -  to +  , + to \times , \times  to  \div , \div  to  =  $

maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

  1. $ 40 +5 \div 45\times 15-25 $

  2. $ 40 \div 5 \times 15- 25 $

  3. $ 40\times 5-45\div 15+ 25 $

  4. $40 + 5-45\times 15\div 25 $

Show answer
Correct Option: B
Explanation:

For option A
$40+5\div45\times15-25$
if we change sign according to the question then
$40\times5=45\div15+25$
$200\neq28$
For option B
$40\div5+45\times15-25$
If we change the sign according to the question then
$40=5\times45\div15+25$
$40=5\times3+25$
$40=40$
Hence, option 'B' is correct.

Difference of the greatest 7 digit number and the smallest 5 digit number is 

maths operations adding and subtracting numbers using place value addition & subtraction mental additions and subtractions

  1. 998999

  2. 9989999

  3. 99899

  4. 998099

Show answer
Correct Option: B
Explanation:

the greatest $7$ digit number is $9999999$


the smallest $5$ digit number is $10000$

we have to find the difference between these two numbers 

$9999999-10000=9989999$

So option $B$ is the answer