Questions Related to maths

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

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? 

  1. $580$
  2. $690$
  3. $740$
  4. $870$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

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

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

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

  1. $10160$
  2. $11060$
  3. $11160$
  4. $None\ of\ these$
Reveal answer Fill a bubble to check yourself
C Correct answer
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 $

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

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

  1. True

  2. False

Reveal answer Fill a bubble to check yourself
B Correct answer
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.

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

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

  1. True

  2. False

Reveal answer Fill a bubble to check yourself
A Correct answer
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.

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

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

  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 $
Reveal answer Fill a bubble to check yourself
B Correct answer
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.

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

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

  1. 998999

  2. 9989999

  3. 99899

  4. 998099

Reveal answer Fill a bubble to check yourself
B Correct answer
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