Playing with Numbers Test

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Playing with Numbers Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

An integer which is not divisible by 2 is called a/an

A
even number

B
odd number

C
prime number

D
composite number

Solution

All the even numbers are divisible by 2. The integers which are not divisible by 2 are called odd numbers, e.g 1, 3, 5, 7 etc.
Question 2
1 / -0

Which of the following is not a prime number ?

A
5

B
7

C
8

D
11

Solution

The factors of 8 are 1, 2, 4 and 8.
As it has factors other than itself and 1, so it is not a prime number.
Question 3
1 / -0

Which of the following is not a composite number?

A
$$4$$

B
$$6$$

C
$$7$$

D
$$8$$
Question 4
1 / -0

Every composite number can be expressed (factorised) as a product of primes, and this factorisation is unique apart from the order in which the prime factors occur.

A
True

B
False

C
Neither

D
Either

Solution

This is true as any composite number can be expressed in terms of its prime factors. The prime factors for 2 numbers can be same but their combination is unique.
Example,
$$12=2^2*3$$ and $$18=2*3^2$$
Both have prime factors as 2 and 3 but the combination that 12 has is different from that of 18.
Question 5
1 / -0

The number of composite numbers between $$101$$ and $$120$$
(excluding both) are

A
$$11$$

B
$$12$$

C
$$13$$

D
$$14$$

Solution

There are $$9$$ even numbers which are all composite numbers.
Amongst the odd numbers $$105, 111, 115, 117, 119$$ are composite numbers.
So, there are $$14$$ composite numbers in the given range.
Question 6
1 / -0

The value of $$\textit x $$ in the factor tree is : (Blank Boxes has Multiplication symbol.)

A
$$30$$

B
$$150$$

C
$$100$$

D
$$50$$

Solution

$$3\times 2=6$$

$$6\times 5=30$$

$$30\times 5=150$$

Correct answer will be option B
Question 7
1 / -0

Which of the following is not a prime number ?

A
$$2$$

B
$$3$$

C
$$4$$

D
$$5$$

Solution

The factors of $$4$$ are $$1$$, $$2$$ and $$4$$.
As it has a factor other than itself and $$1$$, it is not a prime number.
Question 8
1 / -0

The units digit of every prime number (other than $$2$$ and $$5$$) must be necessarily

A
$$1, 3$$ or $$5$$

B
$$1, 3, 7$$ or $$9$$

C
$$7$$ or $$9$$

D
$$1$$ or $$7$$

Solution

All even numbers (other than $$2$$) are composite, so prime numbers cannot end with any of the digits $$0,2,4,6,8$$.

Also, a number with unit digit $$5$$ will be divisible by $$5.$$

Therefore, the unit's digit of every prime number(other than $$5$$) must be necessarily $$1, 3, 7$$ or $$9$$.
Question 9
1 / -0

The total number of prime numbers between $$120$$ and $$140$$ is

A
$$7$$

B
$$6$$

C
$$5$$

D
$$4$$

Solution

The prime numbers must be from the odd numbers between $$120$$
and $$140$$.
The prime numbers are $$127, 131, 137, 139$$.
Therefore, there are 4 prime numbers between $$120$$ and $$140$$.
Question 10
1 / -0

Which of the following is not a composite number?

A
$$352+6$$

B
$$357+7$$

C
$$352+7$$

D
$$353+1$$

Solution

$$A:$$ $$352+6 = 358$$ which is even, and have factors other than $$1$$ and itself, So it is a Composite number.
$$B:$$ $$357+7 = 364$$ which is even, and have factors other than $$1$$ and itself, So it is a Composite number.
$$C:$$ $$352+7 = 359$$ which is odd, and does not have factors other than $$1$$ and itself, So it is a Prime number.
$$D:$$ $$353+1 = 354$$ which is even, and have factors other than $$1$$ and itself, So it is a Composite number.

Hence, option $$C.$$

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 6

Result

Playing with Numbers Test - 6

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Rank

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SHARING IS CARING

Question 1

even number

odd number

prime number

composite number

Solution

Question 2

5

7

8

11

Solution

Question 3

$$4$$

$$6$$

$$7$$

$$8$$

Question 4

True

False

Neither

Either

Solution

Question 5

$$11$$

$$12$$

$$13$$

$$14$$

Solution

Question 6

$$30$$

$$150$$

$$100$$

$$50$$

Solution

Question 7

$$2$$

$$3$$

$$4$$

$$5$$

Solution

Question 8

$$1, 3$$ or $$5$$

$$1, 3, 7$$ or $$9$$

$$7$$ or $$9$$

$$1$$ or $$7$$

Solution

Question 9

$$7$$

$$6$$

$$5$$

$$4$$

Solution

Question 10

$$352+6$$

$$357+7$$

$$352+7$$

$$353+1$$

Solution

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