Playing with Numbers Test

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Playing with Numbers Test - 18

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Weekly Quiz Competition

Question 1
1 / -0

Find HCF of $$54, 81$$ and $$99$$.

A
$$8$$

B
$$9$$

C
$$10$$

D
$$11$$

Solution

Factorization of the following.
$$54 = 2 \times 3 \times 3 \times 3$$
$$81 = 3 \times 3 \times 3 \times 3$$
$$99 = 3 \times 3 \times 11$$
Since, the common factor is $$3 \times 3$$,this implies that
$$H.C.F = 3 \times 3$$
Hence,the correct option $$B$$.
Question 2
1 / -0

HCF of two co-prime number is _______.

A
$$1$$

B
$$0$$

C
$$2$$

D
None of these

Solution

HCF of two co-prime numbers is $$1$$ because they have only $$1$$ as a common factor.
Question 3
1 / -0

HCF of two or more prime numbers is ___________.

A
$$0$$

B
$$2$$

C
$$4$$

D
$$1$$

Solution

HCF of two or more prime numbers is $$1$$

Let us take an example,
$$5$$ and $$7$$ both are prime numbers.

$$5=1\times5$$
$$7=1\times7$$

So, HCF$$=1$$

Hence, $$Op-D$$ is correct.
Question 4
1 / -0

Which of the following numbers is prime?

A
$$119$$

B
$$187$$

C
$$247$$

D
$$179$$

Solution

$$119$$ is divisible by $$7$$
$$187$$ is divissible by $$11$$
$$247$$ is divisible by $$13$$
Bt $$179$$ is not divisible by any number.
Hence $$179$$ is a prime number.
Question 5
1 / -0

$$( 7 \times 11 \times 13 + 13 )$$ is a/an

A
Composite number

B
Prime number

C
Irrational number

D
Imaginary number.

Solution

$$(7\times 11\times 13+13)=13\{(7\times11)+1\}=13\times 78=1014$$
Since, $$1014$$ is divided by $$13,78$$ which is other than $$1$$ and the number itself, so it is a composite number.
Question 6
1 / -0

G.C.D of $$4$$ and $$19$$ is _________.

A
$$1$$

B
$$4$$

C
$$19$$

D
$$76$$

Solution

There is no common factor between $$4$$ and $$19$$. Hence, G.C.D. of $$4$$ and $$19$$ is $$1$$.
Question 7
1 / -0

The reciprocal of the smallest prime number is _______.

A
$$0$$

B
$$\dfrac {1}{2}$$

C
$$1$$

D
$$2$$

Solution

Prime no. are those which has only two factors.
One and the number itself.
$$Note:$$ $$1$$ is neither prime nor composite.
So, the smallest prime number is $$2$$.
Hence, reciprocal of $$2$$ $$= \dfrac{1}{2}$$
Question 8
1 / -0

Which of the following is not a prime number?

A
$$23$$

B
$$29$$

C
$$43$$

D
$$21$$

Solution

Factors of $$23 = 23 \times 1$$
Factors of $$29 = 29 \times 1 $$
Factors of $$43 = 43 \times 1$$
Factors of $$21 = 3 \times 7$$
So, ioption D $$23$$ is not a prime number
Question 9
1 / -0

The number $$111111111$$ is a

A
Prime number

B
Composite number

C
Divisible by $$\frac{10^7-1}{9}$$

D
None of these

Solution

A whole number that can be divided exactly by numbers other than 1 or itself is known as composite numbers.
111111111 is an odd composite number. It is composed of three distinct prime numbers multiplied together.
Prime factorisation of $$111111111 = {3}^{2} \times 37 \times 333667$$
Question 10
1 / -0

Which of the following is a prime number?

A
$$19$$

B
$$20$$

C
$$21$$

D
$$22$$

Solution

Prime number is a number which has 1 and number it self as a factor.

19=1$$\times $$19 (or) 19$$\times $$1

20=2$$\times $$10 (or) 20$$\times $$1 (or) 5$$\times $$4

21 = 21$$\times $$1 (or) 7$$\times $$3

22=1$$\times $$22 (or) 11$$\times $$2

So, 19 is prime number

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 18

Result

Playing with Numbers Test - 18

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SHARING IS CARING

Question 1

$$8$$

$$9$$

$$10$$

$$11$$

Solution

Question 2

$$1$$

$$0$$

$$2$$

None of these

Solution

Question 3

$$0$$

$$2$$

$$4$$

$$1$$

Solution

Question 4

$$119$$

$$187$$

$$247$$

$$179$$

Solution

Question 5

Composite number

Prime number

Irrational number

Imaginary number.

Solution

Question 6

$$1$$

$$4$$

$$19$$

$$76$$

Solution

Question 7

$$0$$

$$\dfrac {1}{2}$$

$$1$$

$$2$$

Solution

Question 8

$$23$$

$$29$$

$$43$$

$$21$$

Solution

Question 9

Prime number

Composite number

Divisible by $$\frac{10^7-1}{9}$$

None of these

Solution

Question 10

$$19$$

$$20$$

$$21$$

$$22$$

Solution

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