Playing with Numbers Test

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Playing with Numbers Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

$$1$$ is a ............ of every prime number.

A
factor

B
multiple

C
both factor and multiple

D
none of these

Solution

$$1$$ is a factor of prime number.
Question 2
1 / -0

Highest common factor of $$10$$ and $$100$$ is

A
$$10$$

B
$$100$$

C
$$5$$

D
All of the above

Solution

First we will write $$10$$ and $$100$$ as product of its prime factors,
$$10=5\times 2$$
$$100=5\times 2\times 5\times 2$$

So, from above we can observe that $$5$$ and $$2$$ is common factors,
$$HCF (10,100)= 5\times 2$$
$$=10$$

So, option $$A$$ is correct.
Question 3
1 / -0

Identify the prime number among the following options.

A
$$11$$

B
$$15$$

C
$$18$$

D
$$20$$

Solution

$$11$$ is a prime number because it has only two factors that are $$1$$ and $$11$$.
So, option A is correct.
Question 4
1 / -0

Addition of prime number

A
gives a prime number

B
gives a composite number

C
may give a prime number or composite number

D
none of these

Solution

$$2$$ and $$3$$ are prime numbers
$$7$$ and $$5$$ are prime numbers
$$2 + 3 = 5$$ (prime) but $$7 + 5 = 12$$ (composite).
So, option C is correct.
Question 5
1 / -0

Choose the co-prime numbers from the following pairs

A
7 and 63

B
36 and 287

C
35 and 21

D
None of these

Solution

When two numbers have no common factors other than 1 then they are said to be co-prime numbers.
A. 7 is the common factor of 7 & 63.
B. 4 is the common factor of 36 & 28.
C. 7 is the common factor of 35 & 21.
Hence, answer will be D.
Question 6
1 / -0

Which of the following is the factor of all prime numbers?

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

Option $$A$$ is correct because $$1$$ is the factor of all prime numbers.
Question 7
1 / -0

Which of the following numbers are divisible by $$2$$ ?

A
$$64$$

B
$$16$$

C
$$32$$

D
All of the above

Solution

Divisibility by 2:
If the number contains an even number (0, 2, 4, 6, 8) in the units place,
then the number is completely divisible by $$2$$.

All the options given here are even numbers i.e $$64$$ ends with $$4$$,
$$16$$ with $$6$$ and $$32$$ ends with $$2$$

So, option D is correct.
Question 8
1 / -0

Which of the following numbers are divisible by $$2$$?

A
$$63$$

B
$$62$$

C
$$65$$

D
$$61$$

Solution

For a number to be divisible by $$2$$, it must contain an even digit in its unit place.
Since, $$62$$ ends with $$2$$.
Therefore, it is divisible by $$2$$.
So, option B is correct.
Question 9
1 / -0

Identify co-prime numbers.

A
$$(2, 3)$$

B
$$(3, 5)$$

C
$$(5, 7)$$

D
All of the above

Solution

$$(2, 3)$$ has $$1$$ factor in common
$$(3, 5)$$ has $$1$$ factor in common
$$(5, 7)$$ has $$1$$ factor in common
So, option D is correct.
Question 10
1 / -0

Co-prime numbers

A
have two factors in common

B
have one factor in common

C
have three factor in common

D
none of these

Solution

Co-prime numbers have one factor in common.
So, option B is correct.

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 12

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Playing with Numbers Test - 12

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SHARING IS CARING

Question 1

factor

multiple

both factor and multiple

none of these

Solution

Question 2

$$10$$

$$100$$

$$5$$

All of the above

Solution

Question 3

$$11$$

$$15$$

$$18$$

$$20$$

Solution

Question 4

gives a prime number

gives a composite number

may give a prime number or composite number

none of these

Solution

Question 5

7 and 63

36 and 287

35 and 21

None of these

Solution

Question 6

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 7

$$64$$

$$16$$

$$32$$

All of the above

Solution

Question 8

$$63$$

$$62$$

$$65$$

$$61$$

Solution

Question 9

$$(2, 3)$$

$$(3, 5)$$

$$(5, 7)$$

All of the above

Solution

Question 10

have two factors in common

have one factor in common

have three factor in common

none of these

Solution

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