Playing with Numbers Test

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Playing with Numbers Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

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

A
$$1$$

B
$$2$$

C
$$3$$

D
$$4$$

Solution

The prime numbers between $$50$$ and $$60$$ are $$53$$ and $$59.$$
Hence, number of prime numbers between $$50$$ and $$60$$ is $$2.$$
Question 2
1 / -0

Which is the least prime number ?

A
$$1$$

B
$$0$$

C
$$2$$

D
$$3$$

Solution

The prime numbers are $$2,3,5.......$$
So least prime is $$2.$$
Question 3
1 / -0

HCF of two co-prime numbers is

A
$$1$$

B
$$0$$

C
$$2$$

D
None of these

Solution

$$ {\textbf{Step - 1: Find the required answer using definition of co-prime numbers.}} $$
$$ {\text{By definition of co-prime numbers,}} $$
$$ {\text{Two numbers having only 1 as their common factor are called co-prime numbers.}} $$
$$ {\text{So, HCF of two co-prime numbers is 1.}} $$
$$ {\textbf{Hence, the correct option is A.}} $$
Question 4
1 / -0

If the HCF of two numbers is 1, then they are called as ?

A
Co-primes

B
Composite numbers

C
Prime numbers

D
Twin primes

Solution

If the HCF of two numbers is $$1$$, then they are called as coprime numbers. eg.. $$4$$ and $$15$$.
Question 5
1 / -0

Choose the co-prime numbers from the following pairs

A
$$7\ and \ 63$$

B
$$39 \ and \ 25$$

C
$$35\ and\ 21$$

D
63 and 81

Solution

A set of numbers which do not have any other proper common factor other than $$1$$ are called co-prime.
Given numbers are $$39 \ and \ 25$$
$$39=3\times 13$$
$$25=5\times5$$
HCF$$=1$$
Question 6
1 / -0

If a number is divisible by 9, then it is also divisible by which number?

A
3

B
6

C
2

D
None of these

Solution

If a number is divisible by $$ 9 $$, then it is also divisible by $$ 3 $$ as $$ 9 = 3 \times 3 $$
Question 7
1 / -0

Which of the following numbers are not divisible by $$5$$?
$$30,49,75,210,305$$

A
$$30$$

B
$$49$$

C
$$75$$

D
$$210$$

Solution

Given list of numbers are $$30, 49, 75, 210, 305$$
Numbers ending in either $$5$$ or $$0$$ are divisible by $$5$$.
Hence, $$49$$ is not divisible by $$5$$.
Question 8
1 / -0

By Goldbach's conjecture, every even number greater than 4 can be expressed as a sum of

A
Two even numbers

B
Two odd prime numbers

C
Two composite numbers

D
Two co-prime numbers

Solution

Goldbach's conjecture says that "Every integer greater than $$2$$ can be expressed as the sum of $$2$$ prime numbers."
Question 9
1 / -0

How many prime numbers are there between 10 and 30?

A
$$6$$

B
$$5$$

C
$$7$$

D
$$8$$

Solution

$${\because}$$ The prime numbers between $$10$$ and $$30 $$ are $$11,13,17,19,23,29.$$
Question 10
1 / -0

How many factors does the number $$24$$ has ?

A
$$2$$ factors

B
$$4$$ factors

C
$$6$$ factors

D
$$8$$ factors

Solution

Factors of $$24$$ are $$1,2,3,4,6,8,12,24$$

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 10

Result

Playing with Numbers Test - 10

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SHARING IS CARING

Question 1

$$1$$

$$2$$

$$3$$

$$4$$

Solution

Question 2

$$1$$

$$0$$

$$2$$

$$3$$

Solution

Question 3

$$1$$

$$0$$

$$2$$

None of these

Solution

Question 4

Co-primes

Composite numbers

Prime numbers

Twin primes

Solution

Question 5

$$7\ and \ 63$$

$$39 \ and \ 25$$

$$35\ and\ 21$$

63 and 81

Solution

Question 6

3

6

2

None of these

Solution

Question 7

$$30$$

$$49$$

$$75$$

$$210$$

Solution

Question 8

Two even numbers

Two odd prime numbers

Two composite numbers

Two co-prime numbers

Solution

Question 9

$$6$$

$$5$$

$$7$$

$$8$$

Solution

Question 10

$$2$$ factors

$$4$$ factors

$$6$$ factors

$$8$$ factors

Solution

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Question Analysis

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