Tag: maths

Questions Related to maths

If average of $6$ consecutive numbers is $48$, what is the difference between the smallest and the largest numbers ?

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

  1. $5$

  2. $10$

  3. $9$

  4. data inadequate

Show answer
Correct Option: A
Explanation:

Let the $6$ numbers are $x, x+1, x+2, x+3, x+4, x+5$.

Since,
$average=48$
$\dfrac{x+x+1+x+2+x+3+x+4+x+5}{6}=48$
$6x+15=288$
$6x=273$
$x=45.5$
So,
The smallest number $=45.5$
The largest number $=x+5=45.5+5=50.5$
Difference $=50.5-45.5=5$

The additive inverse of $\sqrt { 3 } -2\quad is$_____________

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

  1. $\sqrt { 3 } +2$

  2. $-\sqrt { 3 } +2$

  3. $-\sqrt { 3 } -2$

  4. $\sqrt { 3 } +\sqrt { 2 } $

Show answer
Correct Option: B
Explanation:
The additive inverse of a number a is the number that, when added to a, yields zero. 
This number is also known as the opposite (number), sign change, and negation.

$Additive \ Inverse \ of (\sqrt {3}-2 )\ is$
$\rightarrow -(\sqrt{3}-2)$
$\rightarrow -\sqrt{3}+2$
$\rightarrow B \ is \ correct \ answer$

which is the number formed by $34 TL,2TL, 4TH, 5H, 2T$ and $5U$

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

  1. $54,04,525$

  2. $3, 40, 24, 525$

  3. $24, 34, 255$

  4. $52, 34, 245$

Show answer
Correct Option: A
Explanation:
34 Ten lakhs =      34,00,000
2 Ten lakhs =        20,00,000
4 Ten thousands = 4,000
5 hundreds =          500
2 tens =                   20
5 units =                  5
                            ____________
                               54,04,425

State whether the following statement is True or False.
$600$ is the successor of $599$.

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:

True,  we can find the successor of $599$ as follows:

$=599+1$
$=600$

State whether the following statement is True or False.
$400$ is the predecessor.

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:

False, as predecessor of  $399$ is $398 (399-1=398)$

State whether the following statement is True or False.
The predecessor of a two digit number is never a single digit 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:

False, since we can clearly analyse that predecessor of $10$ is 

$10-1=9$
And $9$ is a single digit number.
Hence predecessor of two digit number is single digit number.

State whether the following statement is True or False.
The successor of a two digit number is always a two digit 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:

False, as successor of $99$ is $100$.

$99$ is a two digit number whereas $100$ is a three digit number.

Find : $50342135 -46380651 = .............$

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

  1. $3961484$

  2. $3942384$

  3. $3969484$

  4. $3989284$

Show answer
Correct Option: A
Explanation:

$50342135 - 46380651 = 3961484$.

So, correct answer is option A.

Find the value of $7895432-1689654$.

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

  1. $6105778$

  2. $6205778$

  3. $6205788$

  4. $6205888$

Show answer
Correct Option: B
Explanation:
$7895432-1629654=6205778$
so correct answer will be option B

What is $1 + 2-3 + 4-5 + 6-7 + 8$ ?

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

  1. $2$

  2. $3$

  3. $4$

  4. $6$

Show answer
Correct Option: D
Explanation:

$1 + 2 - 3 + 4 - 5 + 6 - 7 + 8$

$=3 - 3 + 4 - 5 + 6 - 7 + 8$
$=0 + 4 - 5 + 6 - 7 + 8$
$=4 + 1 - 7 + 8$
$=5+1$

$=6$
Thus, the correct answer is $6$.