Playing with Numbers Test

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Playing with Numbers Test - 9

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Weekly Quiz Competition

Question 1
1 / -0

HCF of $$24 $$ and $$36$$ is ..............

A
$$6$$

B
$$4$$

C
$$9$$

D
$$12$$

Solution

$$2\underline {|24} {\;} 2\underline {|36}$$
$$2\underline {|12} {\;} 2\underline {|18}$$
$$2\underline {|6} {\;} 3\underline {|9}$$
$$3\underline {|3} {\;} 3\underline {|3}$$
1 1
$$24 = 2 \times 2 \times 2 \times 3$$
$$36 = 2 \times 2 \times 3 \times 3$$
$$\therefore H.C.F=2\times 2 \times 3=12$$
Question 2
1 / -0

21 and 29 are ______ numbers.

A
prime numbers

B
co-primes

C
multiples of 7

D
even numbers

Solution

A set of numbers which do not have any other common factor other than $$1$$ are called co-prime.
$$21$$ & $$29$$ have no common factors except $$1$$.
So, they are co-prime numbers.
Hence, option B is correct.
Question 3
1 / -0

Choose the co-prime numbers from the following pairs:

A
$$(11, 111)$$

B
$$(22, 222)$$

C
$$(12,36)$$

D
$$(14,50)$$

Solution

A set of numbers that do not have any other common factor other than $$1$$ are called co-prime.
$$11$$, $$111$$ are co-prime numbers because they do not have any proper common factor other than 1
$$11 = 1 \times 11$$
$$111 = 1 \times 111$$
Question 4
1 / -0

The number which is neither prime nor composite is

A
$$0$$

B
$$1$$

C
$$2$$

D
$$5$$

Solution

$$1$$ is the number which is neither prime nor composite.
Because $$1$$ has only $$1$$ divisor which is $$1$$ only.
Question 5
1 / -0

Which prime number which comes just after $$43$$ ?

A
$$49$$

B
$$45$$

C
$$47$$

D
none of these

Solution

Numbers after $$ 43 $$ are $$ 43, 44, 45, 46, 47, 48... $$

$$ 44 $$ is a composite number as it has more than two factors $$ 1, 2, 11, 22, 44 $$
Similarly, $$ 45, 46 $$ has more than two factors.

However $$ 47 $$ has only two factors $$ 1, 47 $$.
Thus the next prime number after $$ 43 $$ is $$ 47. $$
Question 6
1 / -0

Number of prime numbers between $$50$$ to $$60$$ is

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

Prime numbers between 50 and 60 are 53 and 59.
Question 7
1 / -0

Every prime number is $$.......$$

A
a even number

B
an odd number

C
a composite number

D
none of these

Solution

Prime numbers have only two factors $$ 1 $$ and the number itself.

For example, $$ 2, 3, 5, 7, 11.. $$

From this, we notice that all prime numbers cannot be put to one category except being non-composite.
Question 8
1 / -0

A prime number

A
has exactly one factor.

B
has exactly two factors.

C
is not divisible by $$2$$.

D
is an odd number.

Solution

A prime number has only two factors.
For eg. $$11, 17$$, etc..
Each of these numbers is divisible by $$1$$ and itself.
Hence, option B is correct.
Question 9
1 / -0

Which of the following are prime numbers?

A
$$137$$

B
$$143$$

C
$$396$$

D
Both A and B

Solution

$$143=11\times 13$$
$$396=2\times198$$
Only $$137$$ is a prime number.
Question 10
1 / -0

The numbers which are multiples of 2 are called

A
odd

B
prime

C
composite

D
none of these

Solution

The numbers which are multiples of 2 are called even number.
Ex-$$2,4,6,8,10$$ etc.
All these numbers are divisible by $$2$$.

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 9

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Playing with Numbers Test - 9

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Question 1

$$6$$

$$4$$

$$9$$

$$12$$

Solution

Question 2

prime numbers

co-primes

multiples of 7

even numbers

Solution

Question 3

$$(11, 111)$$

$$(22, 222)$$

$$(12,36)$$

$$(14,50)$$

Solution

Question 4

$$0$$

$$1$$

$$2$$

$$5$$

Solution

Question 5

$$49$$

$$45$$

$$47$$

none of these

Solution

Question 6

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 7

a even number

an odd number

a composite number

none of these

Solution

Question 8

has exactly one factor.

has exactly two factors.

is not divisible by $$2$$.

is an odd number.

Solution

Question 9

$$137$$

$$143$$

$$396$$

Both A and B

Solution

Question 10

odd

prime

composite

none of these

Solution

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