Tag: operations

Questions Related to operations

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

The sum of the digit of a two digit number is $15$ and the difference between the digits is $3$. What the two digit number?

  1. $69$
  2. $78$
  3. $90$
  4. $86$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Sum of digit of $2$ digit number $10x+y$ is $15$

$x+y=15$
is $3, x-y=3\x+y=15\x-y=3\----\2x=18\x=9$
So, $y=15-x\15-9\y=6$
solution can be $96$ or $69$
Answer $A$

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.