Playing with Numbers Test

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Playing with Numbers Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

A number other than one which is either divisible by $$1$$ or itself is called a

A
composite number

B
prime number

C
comprime number

D
none of these

Solution

Given that a number is divisible by itself and $$1$$.
$$\therefore$$ If x is the number then its factors are x and $$1$$. So this fits in the condition for a number to be prime.
$$\therefore$$ It is a prime number.
Question 2
1 / -0

Which of the following numbers have most number of divisors?

A
$$176$$

B
$$182$$

C
$$99$$

D
$$101$$

Solution

If a number has $$n$$ number of factors, it will have $$n$$ divisors.
The given numbers are $$176, 182, 99, 101.$$
$$176={ 2 }^{ 4 }\times 11\Rightarrow 5$$ factors
$$182=2\times 7\times 13\Rightarrow 3$$ factors
$$99=3\times 3\times 11\Rightarrow 3$$ factors
$$101=1\times 101\Rightarrow 1$$ factor
$$ \therefore 176$$ has greatest number of factors.
Question 3
1 / -0

Write three pairs of co-primes between $$15$$ and $$30.$$

A
$$19$$ and $$23, 23$$ and $$25,$$ & $$27$$ and $$29$$

B
$$16$$ and $$21, 18$$ and $$25,$$ & $$20$$ and $$27$$

C
$$16$$ and $$22, 18$$ and $$26,$$ & $$20$$ and $$27$$

D
none of these

Solution

Two integers $$a$$ and $$b$$ are said to be relatively prime, mutually prime, or co-prime if the only positive integer that evenly divides both of them is $$1.$$ That is, the only common positive factor of the two numbers is $$1.$$
They are $$16$$ and $$25, 27$$ and $$20, 21$$ and $$22.$$
Question 4
1 / -0

The number of prime numbers between 0 and 20 is

A
7

B
8

C
6

D
9

Solution

The prime numbers between $$ 0 $$ and $$ 20 $$ are $$ 2, 3, 5, 7, 11, 13, 17 $$ and $$ 19 $$.
Hence, the number of prime numbers between $$ 0 $$ and $$ 20 $$ is $$ 8 $$.
Question 5
1 / -0

Which of the following is a prime number?

A
$$889$$

B
$$997$$

C
$$899$$

D
$$1147$$

Solution

A prime can be written as $$6k+1$$ or $$6k-1$$ provided the number is greater than $$6$$.
$$997=166*6+1$$
Therefore, $$997$$ is a prime number.
Question 6
1 / -0

Write all prime numbers between $$20$$ and $$50.$$

A
$$21, 29, 33, 37, 41, 43$$ and $$47$$

B
$$29, 33, 37, 39, 41, 43$$ and $$47$$

C
$$23, 29, 31, 37, 41, 43$$ and $$47$$

D
None of these

Solution

All prime numbers between $$ 20 $$ and $$ 50 $$ are $$

23, 29, 31, 37, 41, 43 $$ and $$ 47. $$
Question 7
1 / -0

The two numbers which have only $$1$$ as their common factor are called as ____ .

A
co-primes

B
twin prime

C
composite

D
none of these

Solution

The two numbers which have only 1 as their common factor are called co-primes.

For example, Factors of $$ 5 $$ are $$ 1, 5 $$
Factors of $$ 3 $$ are $$ 1, 3 $$

Common factors is $$ 1 $$.
So they are co-prime numbers.
Question 8
1 / -0

The numbers which have more than two factors are called

A
even

B
prime

C
composite

D
none of these

Solution

The numbers which have more than two factors are called composite numbers.
Question 9
1 / -0

A number is divisible by $$6$$, when it is divisible by both _____ .

A
$$4$$ and $$3$$.

B
$$2$$ and $$4$$.

C
$$2$$ and $$3$$.

D
$$3$$ and $$5$$.

Solution

As $$ 2 \times 3 = 6 $$
A number is divisible by 6 if it is divisible by both $$ 2 , 3 $$
Question 10
1 / -0

A number which is a factor of every number is

A
$$0$$

B
$$1$$

C
$$2$$

D
none of these

Solution

A number which is a factor of every number is $$1.$$

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 7

Result

Playing with Numbers Test - 7

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SHARING IS CARING

Question 1

composite number

prime number

comprime number

none of these

Solution

Question 2

$$176$$

$$182$$

$$99$$

$$101$$

Solution

Question 3

$$19$$ and $$23, 23$$ and $$25,$$ & $$27$$ and $$29$$

$$16$$ and $$21, 18$$ and $$25,$$ & $$20$$ and $$27$$

$$16$$ and $$22, 18$$ and $$26,$$ & $$20$$ and $$27$$

none of these

Solution

Question 4

7

8

6

9

Solution

Question 5

$$889$$

$$997$$

$$899$$

$$1147$$

Solution

Question 6

$$21, 29, 33, 37, 41, 43$$ and $$47$$

$$29, 33, 37, 39, 41, 43$$ and $$47$$

$$23, 29, 31, 37, 41, 43$$ and $$47$$

None of these

Solution

Question 7

co-primes

twin prime

composite

none of these

Solution

Question 8

even

prime

composite

none of these

Solution

Question 9

$$4$$ and $$3$$.

$$2$$ and $$4$$.

$$2$$ and $$3$$.

$$3$$ and $$5$$.

Solution

Question 10

$$0$$

$$1$$

$$2$$

none of these

Solution

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