Playing with Numbers Test

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Playing with Numbers Test - 11

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following numbers are not divisible by $$9$$?
$$36,90,157,243,514$$

A
$$36$$

B
$$90$$

C
$$157$$

D
$$243$$

Solution

If the sum of all the digits of a number is divisible by $$9$$ then the number is divisible by $$9$$.

$$36$$
$$3+6 = 9 = 9\times 1 ,$$ which is multiple of $$9$$

$$90$$
$$9+0 = 9 = 9\times 1 ,$$ which is multiple of $$9$$

$$157$$
$$1+5+7 = 13 , $$ which is not a multiple of $$9$$.

$$243$$
$$2+4+3 = 9 = 9\times 1 , $$which is multiple of $$9$$

Hence, the correct answer is $$Option-(C)$$
Question 2
1 / -0

Which of the following is not a composite number ?

A
$$4$$

B
$$6$$

C
$$7$$

D
$$10$$

Solution

A composite number is a positive integer that has at least one positive divisor other than one and number itself.
Here 7 is not composite number as it is cannot be divided evenly orwe can say 7 has divisor 1 and 7 itself that means it is a prime number.
Question 3
1 / -0

Which list shows the first five multiples of $$2$$?

A
$$2, 3, 4, 5, 6$$

B
$$2, 4, 6, 8, 10$$

C
$$2, 20, 200, 2,000, 20,000$$

D
$$2, 22, 222, 2,222, 22,222$$

Solution

The first $$5$$ multiples of $$2$$ are as follows,
$$2×1=2$$
$$2×2=4$$
$$2×3=6$$
$$2×4=8$$
$$2×5=10$$

Option B has the desired list.
So option B is the correct answer.
Question 4
1 / -0

Smallest $$6$$ digit number divisible by $$6$$ is __________.

A
$$100000$$

B
$$100002$$

C
$$100003$$

D
$$100004$$

Solution

We know that the divisibility test of $$6$$ states that a number is divisible by $$6$$ if the number is even and the sum of the digits is divisible by $$3.$$ Hence, $$100002$$ is the smallest number divisible by $$6$$ as it is even and the sum of digits $$1+0+0+0+0+2=3.$$

So, option $$B$$ is correct.
Question 5
1 / -0

Numbers ending with $$0$$ or $$5$$ are divisible by ___________.

A
$$10$$

B
$$2$$

C
$$5$$

D
$$6$$

Solution

Divisibility of 5 : Numbers ending with 0 and 5 are always divisible by 5
Question 6
1 / -0

The number of prime numbers between $$0$$ and $$20$$ is

A
$$7$$

B
$$8$$

C
$$6$$

D
$$9$$

Solution

We know that, a prime number is a number having exactly two factors, $$1$$ and the number itself.
Hence, the prime numbers between $$0$$ and $$20$$ are $$2, 3, 5, 7, 11, 13, 17$$ and $$19$$

$$\therefore \ $$ The number of prime numbers between $$0$$ and $$20$$ is $$8.$$
Question 7
1 / -0

Which of the following is not a composite number?

A
3

B
6

C
7

D
8

Solution

A composite number is a positive integer that has at least one positive divisor other than one and number itself.
Here 3 & 7 are not composite number as both cannot be divided evenly so 3 & 7 are not composite number.
Question 8
1 / -0

The number which have more than two factors is called _____.

A
Even

B
Prime

C
Odd

D
None of these

Solution

The number with more than two factors is called a composite number.
So option C is the correct answer.
Question 9
1 / -0

Sum of first three prime numbers which end at 3 is:

A
20

B
16

C
39

D
40

Solution

First three prime numbers which end with $$3$$ are $$3,13,23$$.
$$Sum=3+13+23=39$$
Question 10
1 / -0

Which of the following pairs are co-prime?

A
348 & 296

B
59 & 97

C
3025 & 4920

D
None

Solution

In number theory, two integers a and b are said to be relatively prime, mutually prime, or coprime if the only positive integer that divides both of them is 1.
Hence answer will be B as there is only one positive integer that divides 59 and 97 is 1.

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 11

Result

Playing with Numbers Test - 11

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SHARING IS CARING

Question 1

$$36$$

$$90$$

$$157$$

$$243$$

Solution

Question 2

$$4$$

$$6$$

$$7$$

$$10$$

Solution

Question 3

$$2, 3, 4, 5, 6$$

$$2, 4, 6, 8, 10$$

$$2, 20, 200, 2,000, 20,000$$

$$2, 22, 222, 2,222, 22,222$$

Solution

Question 4

$$100000$$

$$100002$$

$$100003$$

$$100004$$

Solution

Question 5

$$10$$

$$2$$

$$5$$

$$6$$

Solution

Question 6

$$7$$

$$8$$

$$6$$

$$9$$

Solution

Question 7

3

6

7

8

Solution

Question 8

Even

Prime

Odd

None of these

Solution

Question 9

20

16

39

40

Solution

Question 10

348 & 296

59 & 97

3025 & 4920

None

Solution

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