Playing with Numbers Test

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Playing with Numbers Test - 11

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Weekly Quiz Competition

Question 1
1 / -0

How many numbers are divisible by $$9$$?
$$863, 267, 129, 774, 981, 997, 936$$

A
$$2$$

B
$$3$$

C
$$4$$

D
$$5$$

Solution

Here,
$$774=7+7+4=18, 981= 9+8+1=18, 936= 9+3+6=18$$ are divisible by $$9$$ because the sum of the digits of those numbers are a multiple of $$9$$.
Therefore, there are $$3$$ numbers divisible by $$9$$.

So, option B is correct.
Question 2
1 / -0

Determine the number into general form: $$90$$

A
$$9 \times 10 + 0$$

B
$$9 \times 10 + 1$$

C
$$9 \times 10 - 0$$

D
$$9 \times 100 + 0$$

Solution

The general form of any two digit number is, $$ab = a \times 10 + b$$
So, $$9 \times 10 + 0$$ is in general form
So, option A is correct.
Question 3
1 / -0

Subtract and find the value of $$B$$.
$$1 0$$
-$$ B$$
___
$$ B$$

A
$$3$$

B
$$4$$

C
$$5$$

D
$$6$$

Solution

$$1 0$$
$$- B$$
___
$$ B$$
The subtraction of $$10$$ and $$B$$ is giving $$5$$ i.e., $$10 - B = B$$
The above condition is possible only when digit $$B$$ is $$5$$, because $$10 - 5 = 5.$$
Therefore, the subtraction is as follows:
$$ 1 0$$
-$$ 5$$
____
$$ 5 $$
The value of $$B = 5.$$
Question 4
1 / -0

Choose the correct answer if $$6 \times 10 + 9$$ is in general form.
Find its usual form.

A
$$60$$

B
$$69$$

C
$$609$$

D
$$600$$

Solution

The usual form of $$6 \times 10 +9 $$ $$=60+9 = 69$$
So, option B is correct.
Question 5
1 / -0

The general form of $$302$$ is

A
$$3 \times 100 + 1 \times 10 - 8 \times 1$$

B
$$3 \times 100 + 2 \times 1$$

C
$$3.02 \times 100$$

D
None of the above

Solution

The general form of any three digits number will be, $$abc = a \times 100 + b \times 10 + c$$
Therefore, $$302= 3\times 100 +0\times10+ 2 \times 1$$
$$=3\times100+2\times1$$
Question 6
1 / -0

If $$4 \times 100 + 5 \times 10 + 0$$ is in generalised form. Find its usual form.

A
$$400$$

B
$$405$$

C
$$450$$

D
$$540$$

Solution

The general form of any three digit number will be, $$abc = a \times 100 + b \times 10 + c$$
Here, $$4 \times 100 + 5 \times 10 + 0 = 450 $$
So, option C is correct.
Question 7
1 / -0

Find the number for the generalised form: $$3 \times 100 + 0 \times 10 + 0$$

A
$$300$$

B
$$303$$

C
$$310$$

D
$$301$$

Solution

The general form of any three digits number is, $$abc = a \times 100 + b \times 10 + c$$
Here, $$300 = 3 \times 100 + 0 \times 10 + 0$$
So, option A is correct.
Question 8
1 / -0

Find the reverse number of the three digit number: $$276$$

A
$$672$$

B
$$765$$

C
$$762$$

D
$$267$$

Solution

The reversed digit will be $$672$$.
Question 9
1 / -0

In a two digit number, if the digit in units place is $$8$$ and the digit in tens place is $$y$$ then that number is __________.

A
$$y+8$$

B
$$y+80$$

C
$$10y+8$$

D
$$80y$$

Solution

Lets take an example of $$23$$
The digit at units place$$=3$$
The digit at tens place$$=2$$
The number$$=2\times10+3=23$$
In the question
The digit at units place is $$8$$
Thus, the number $$=y\times10+8=10y+8$$
Question 10
1 / -0

Which of the following is divisible by $$9$$?

A
$$75636$$

B
$$89321$$

C
$$75637$$

D
$$75632$$

Solution

Number are divisible by $$9 $$ if sum of the all the digits present in it , is divisible by $$9 $$.

$$(a)75636$$
$$\Rightarrow 7+5+6+3+6=27$$ and $$27 $$ is divisible by 9.
Hence, $$75636 $$ is divisible by $$9 $$

$$(b)89321$$
$$\Rightarrow 8+9+3+2+1=23$$ and $$23 $$ is not divisible by $$9 $$.
So, $$ 89321 $$ is not divisible by $$9 $$.

$$(c)75637$$
$$\Rightarrow 7+5+6+3+7=28$$ and $$28 $$ is not divisible by $$9 $$.
So, $$75637 $$ is not divisible by $$9 $$.

$$(c)75632$$
$$\Rightarrow 7+5+6+3+2=26$$ and $$26 $$ is not divisible by $$9 $$.
So, $$75632 $$ is not divisible by $$9 $$

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 11

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Playing with Numbers Test - 11

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SHARING IS CARING

Question 1

$$2$$

$$3$$

$$4$$

$$5$$

Solution

Question 2

$$9 \times 10 + 0$$

$$9 \times 10 + 1$$

$$9 \times 10 - 0$$

$$9 \times 100 + 0$$

Solution

Question 3

$$3$$

$$4$$

$$5$$

$$6$$

Solution

Question 4

$$60$$

$$69$$

$$609$$

$$600$$

Solution

Question 5

$$3 \times 100 + 1 \times 10 - 8 \times 1$$

$$3 \times 100 + 2 \times 1$$

$$3.02 \times 100$$

None of the above

Solution

Question 6

$$400$$

$$405$$

$$450$$

$$540$$

Solution

Question 7

$$300$$

$$303$$

$$310$$

$$301$$

Solution

Question 8

$$672$$

$$765$$

$$762$$

$$267$$

Solution

Question 9

$$y+8$$

$$y+80$$

$$10y+8$$

$$80y$$

Solution

Question 10

$$75636$$

$$89321$$

$$75637$$

$$75632$$

Solution

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