Playing with Numbers Test

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Playing with Numbers Test - 20

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Weekly Quiz Competition

Question 1
1 / -0

What are the common factors of numbers $$10$$ and $$12$$?

A
1,2,3,5

B
1,4,6

C
1,2,5,8

D
1,2

Solution

Factors of $$ 10 $$ are $$ 1, 2, 5,10 $$
Factors of $$ 12 $$ are $$ 1, 2, 3,4, 6, 12, $$
$$\therefore $$ common factors are $$ 1, 2$$.
Question 2
1 / -0

The number that should be added to $$345670$$ in order to make it divisible by $$6$$ is

A
$$2$$

B
$$4$$

C
$$5$$

D
$$6$$

Solution

For a number to be divisible by $$6$$, it has to be divisible by both $$2$$ and $$3$$.
A number is divisible by $$2$$ if it ends with any of $$0,2,4,6,8$$ hence, $$345670$$ is divisible by $$2$$.

A number is divisible by $$3$$ if the sum of its digit is divisible by $$3$$. So,
$$3+4+5+6+7+0=25$$

If we add $$2$$ to the given number then the sum of its digits will become $$27$$ and the number becomes $$345672$$ which is even as well.

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

Which of the following is not a composite

number?

A
$$2 \times 3 \times 5\times 13\times 17 + 13$$

B
$$7\times 6\times 5\times 4\times 3\times 2\times 1 + 5$$

C
$$17\times 41\times 43\times 61 + 43$$

D
$$2 \times 3\times 43 + 13$$
Question 4
1 / -0

How many numbers between $$9$$ and $$54$$ are exactly divisible by $$9$$ but not by $$3$$

A
$$8$$

B
$$6$$

C
$$5$$

D
None of these

Solution

Any number which is divisible by $$9$$ is also divisible by $$3$$. So, no number between 9 and 54, which is exactly divisible by 9 and not by 3, cant be found.
Question 5
1 / -0

Write all the composite numbers between $$10$$ and $$35.$$

A
$$7, 12, 14, 15, 16, 17, 20, 21, 22, 24, 25, 26, 27, 28, 30,33$$ and $$34$$

B
$$7, 12, 14, 15, 16, 18, 20, 21, 21, 24, 25, 26, 27, 28, 32, 33$$ and $$34$$

C
$$7, 12, 14, 15, 16, 19, 20, 21, 22, 24, 25, 26, 27, 28, 32, 33$$ and $$34$$

D
None of these

Solution

All composite numbers between $$ 10 $$ and $$ 35 $$ are $$ 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33 $$ and $$ 34. $$
Question 6
1 / -0

Which one of the following is the largest prime number of three digits?

A
$$997$$

B
$$999$$

C
$$991$$

D
$$993$$

Solution

There are two numbers $$997$$ and $$991$$ are prime numbers out of given numbers.

$$\therefore $$ largest prime no. is $$997$$

Option $$A$$ is correct.
Question 7
1 / -0

A number is divisible by $$4$$, if the number formed by the digits in ______ places is divisible by $$4.$$

A
units and tens

B
tens and hundreds

C
units

D
units, tens and hundreds

Solution

A number is divisible by $$4$$ if the number formed
by the digits in $$\text{units and tens}$$ places
is divisible by $$4$$.
For example:
$$464$$ is divisible by $$4$$ as $$64$$ is divisible by $$4$$.

Hence, option A.
Question 8
1 / -0

Among the following numbers, number which is divisible by $$5$$ is

A
$$75$$ and $$620$$

B
$$8$$ and $$319$$

C
$$724$$

D
$$89$$ and $$652$$

Solution

A number is divisible by $$5$$ if the last digit is $$ 5\ \text{ or}\ 0.$$

$$\therefore 75$$ and $$620$$ are divisible by $$5$$.
Option A is correct.
Question 9
1 / -0

A number is divisible by $$9$$, if the sum of the digits of the number is divisible by _______ .

A
$$3$$

B
$$9$$

C
$$6$$

D
$$2$$

Solution

A number is divisible by 9 if the sum of the digits of the number is divisible by 9.
For example $$ 81 $$ is divisible by $$ 9 $$ as $$ 8 + 1 = 9 $$ is divisible by $$ 9 $$.

So, option B is correct.
Question 10
1 / -0

A student was asked to find the sum of all the prime numbers between $$10$$ and $$40.$$He found the sum as $$180.$$Which of the following statements is true?

A
He missed one prime number between $$10$$ and $$20$$

B
He missed one prime number between $$20$$ and $$30$$

C
He added one extra prime number between $$10$$ and $$20$$

D
None of these

Solution

Prime numbers between $$10$$ and $$40$$ are $$11,13,17,19,23,29,31,37$$
Sum of these prime numbers $$= 180$$
$$\therefore$$ Option $$D$$ is correct.

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Re-Attempt Weekly Quiz Competition

Playing with Numbers Test - 20

Result

Playing with Numbers Test - 20

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SHARING IS CARING

Question 1

1,2,3,5

1,4,6

1,2,5,8

1,2

Solution

Question 2

$$2$$

$$4$$

$$5$$

$$6$$

Solution

Question 3

$$2 \times 3 \times 5\times 13\times 17 + 13$$

$$7\times 6\times 5\times 4\times 3\times 2\times 1 + 5$$

$$17\times 41\times 43\times 61 + 43$$

$$2 \times 3\times 43 + 13$$

Question 4

$$8$$

$$6$$

$$5$$

None of these

Solution

Question 5

$$7, 12, 14, 15, 16, 17, 20, 21, 22, 24, 25, 26, 27, 28, 30,33$$ and $$34$$

$$7, 12, 14, 15, 16, 18, 20, 21, 21, 24, 25, 26, 27, 28, 32, 33$$ and $$34$$

$$7, 12, 14, 15, 16, 19, 20, 21, 22, 24, 25, 26, 27, 28, 32, 33$$ and $$34$$

None of these

Solution

Question 6

$$997$$

$$999$$

$$991$$

$$993$$

Solution

Question 7

units and tens

tens and hundreds

units

units, tens and hundreds

Solution

Question 8

$$75$$ and $$620$$

$$8$$ and $$319$$

$$724$$

$$89$$ and $$652$$

Solution

Question 9

$$3$$

$$9$$

$$6$$

$$2$$

Solution

Question 10

He missed one prime number between $$10$$ and $$20$$

He missed one prime number between $$20$$ and $$30$$

He added one extra prime number between $$10$$ and $$20$$

None of these

Solution

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