MCQ Questions for Class 6 Maths Playing With Numbers Quiz 4

Check the numbers which are not divisible by

$2$ .

0%
$341$
0%
$220$
0%
$518$
0%
$454$

Explanation

We know the divisibility rule for

$2$ :
Always check the last digit end with

$0, 2, 4, 6$ or

$8$ .
Here,

$341$ is not divisible by

$2$ because the last digit is end with

$1$ .

If the last two digits of a number is

$00$ , then it is exactly divisible by _____.

0%
$12$
0%
$9$
0%
$7$
0%
$4$

Explanation

If the last two digits of a number is

$00$ then it is exactly divisible by

$4$ .
This is the divisibility rule for

$4$ .
So, option D is correct.

If two numbers are relatively prime or co- prime, then their HCF is ...............

0%
$5$
0%
$0$
0%
$1$
0%
$9$

Explanation

Co-prime numbers are a set of numbers or integers which have only

$1$ as their common factor i.e., their (HCF) is

$1$ .

The factors of prime number is

$1$ and number itself, so HCF of such numbers is

$1$ .
Hence, option C is correct.

Check the numbers which are divisible by

$2$ ?

0%
$234$
0%
$120$
0%
$311$
0%
$267$

Explanation

Rule for divisible by 2.

Any number with the last digit of

$0,2,4,6,8$ are divisible by 2.

Here, the numbers

$234$ and

$120$ are divisible by

$2$ because the last digit is end with

$4$ and

$0$ respectively.

So, options A and B are correct.

If the last two digits of a number is divisible by

$4$ , the number is also divisible by ____.

0%
$4$
0%
$5$
0%
$7$
0%
$9$

Explanation

If the last two digits of a number is divisible by

$4$ , the number is also divisible by

$4$
Example:

$112$ is divisible by

$4$ , since the last

$2$ digits are a multiple of

$4$ .

So, option A is correct.

A number that has

$0, 2, 4, 6$ or

$8$ in its ones place is divisible by ________.

0%
$0$
0%
$2$
0%
$4$
0%
$6$

Explanation

A number that has

$0, 2, 4, 6$ or

$8$ in its ones place is divisible by

$2$ .
Example:

$20$ is divisible by

$2 = 10$

$22$ is divisible by

$2 = 11$

$44$ is divisible by

$2 = 44$

$26$ is divisible by

$2 = 26$

$18$ is divisible by

$2 = 9$

So, option B is correct.

Which of the following numbers are divisible by

$4$ ?

0%
$123$
0%
$412$
0%
$911$
0%
$353$

Explanation

We know the divisibility rule for

$4$ :
Check the last two digits are a multiple of

$4$ or if the last two digits are

$00$ .
Here,

$412$ is divisible by

$4$ because the last two digits are a multiple of

$4$ .

So, option B is correct.

Check the numbers which are divisible by

$4$ ?

0%
$416$
0%
$200$
0%
$321$
0%
$701$

Explanation

We know the divisibility rule for

$4$ :
Check the last two digits are a multiple of

$4$ or if the last two digits are

$00$ .
Here,

$416$ and

$200$ are divisible by

$4$ because the last two digits are a multiple of

$4$ and

$00$ respectively.

So, options A and B are correct.

The number

$2,364$ is divisible by _____.

0%
$9$
0%
$5$
0%
$4$
0%
$7$

Explanation

We know the divisibility rule for

$4$ :
Check the last two digits are a multiple of

$4$ or if the last two digits are

$00$ .
Here,

$2,364$ is divisible by

$4$ because the last two digits are a multiple of

$4$ .

So, option C is correct.

Which of the following number is divisible by

$5$ ?

0%
$132$
0%
$456$
0%
$890$
0%
$346$

Explanation

A number is divisible by

$5$ if the last digit ends with

$0$ or

$5$ .
Here,

$890$ is divisible by

$5$ because the last digit ends with

$0$ .

So, option C is correct.

If a number ends with

$0$ or

$5$ , then the number is divisible by __.

0%
$6$
0%
$3$
0%
$7$
0%
$5$

Explanation

If the last digit of a number ends with

$0$ or

$5$ , then the number is divisible by

$5$ .
Example:

$120$ is divisible by

$5$ .

$255$ is divisible by

$5$ .

So, option D is correct.

If the last three digits of a number are divisible by

$8$ , then the number is divisible by ____.

0%
$7$
0%
$8$
0%
$9$
0%
$10$

Explanation

If the last three digits of a number are divisible by

$8$ , then the number is divisible by

$8$ .
Example:

$80648$
Here the last three digits,

$648$ is multiple of

$8$ .
So,

$80648$ is divisible by

$8$ .

So, option B is correct.

If the number is divisible by

$5$ , then its last digit will be

0%
$2$ or $1$
0%
$3$
0%
$4$
0%
$5$ or $0$

Explanation

According to the divisibility test of

$5$ if a number is divisible by

$5$ then its unit's place digit will be

$0$ or

$5.$

Hence, option

$D$ is correct.

Which of these numbers are divisible by

$6$ ?

0%
$23,685$
0%
$12,976$
0%
$12,861$
0%
$34,416$

Explanation

We know the divisibility rule for

$6$ :
If the number is exactly divisible by both

$2$ and

$3$ , then the given number is also divisible by

$6$ .
Here,

$34,416$ is divisible by

$6$ , because the last digit is even and sum of digits is a multiple of

$3$ .

So, option D is correct.

Check the numbers which are not divisible by

$4$ ?

0%
$3,200$
0%
$4,120$
0%
$3,113$
0%
$9,812$

Explanation

We know the divisibility rule for

$4$ we check the last two digits are a multiple of

$4$ or if the last two digits are

$00$ .
Here,

$3,113$ is not divisible by

$4$ because the last two digits are not a multiple of

$4$ or

$00$ .

So, option C is correct.

Among the following options, the largest number exactly divisible by

$5$ ?

0%
$60$
0%
$25$
0%
$95$
0%
$97$

Explanation

We know the divisibility rule for

$5$ : The last two digits ends with

$0$ or

$5$ .
Here, all the numbers are divisible by

$5$ as the last digits are

$0, 5$ .

But,

$95$ is the correct answer, as it is divisible by

$5$ and is the largest number.

So, option C is correct.

If a number is divisible by

$2$ and

$3$ , then it satisfies the divisibility rule of

0%
$5$
0%
$6$
0%
$4$
0%
$7$

Explanation

If the number is divisible by

$2$ and

$3$ , then it satisfy the divisibility rule of

$6.$
Example:

$306$ is divisible by both

$2$ and

$3$ .
Since the last digit is even, it is divisible by

$2$
The sum of the digits

$3 + 0 + 6 = 9$ , which is multiple of

$3$ .

So, option B is correct.

What is the least positive integer that is the product of

$3$ different prime numbers greater than

$2$ ?

0%
$27$
0%
$45$
0%
$63$
0%
$75$
0%
$105$

Explanation

Three different prime numbers which are greater than

$2$ are

$3,5,7$ .

$\therefore 3,5,7$ are three least prime numbers above

$2$ .

Therefore, the product of all these is

$3 \times 5 \times 7 = 105$ .

Select the right statement.

0%
Zero is not even and not positive
0%
Zero is even and positive
0%
The largest factor of $28$ is $14$
0%
The sum of the smallest prime and the greatest negative even integer is zero
0%
None

Explanation

We know that the smallest prime is

$2$ and the greatest negative even integer is

$-2$ , so answer D is correct

$.(2-2=0)$

For A & B. Zero is an even integer, since it can be divided by two without any remainder. Also, zero is neither positive nor negative: it is the integer that divides the number line into negative on the left and positive on the right.

For C. The largest factor of

$28$ is

$28$ itself.

What is the product of the smallest prime number that is greater than

$50$ and the greatest prime number that is less than

$50$ ?

0%
$2400$
0%
$2491$
0%
$2450$
0%
$2241$

Explanation

We know that:

Smallest prime number greater than

$50$ is

$'53'$

Greatest prime number less than

$50$ is

$'47'$

Product of the above two numbers

$=$

$53$

$\times$

$47$

$=$

$2491$

Therefore, product of smallest prime number greater than

$'50'$ and the greatest prime number less than

$50$ is

$'2491'$ .

Find the greatest common factor of

$42,126$ and

$210$ .

0%
$2$
0%
$6$
0%
$14$
0%
$21$
0%
$42$

Explanation

We know,

$42=2\times 3\times 7$

$126=2\times 3\times 3\times 7$

$210=2\times 3\times 5\times 7$

$\therefore$ H.C.F

$=2\times 3\times 7=42$

Find the number of prime numbers between

$20$ and

$40$ , both inclusive.

0%
Three
0%
Four
0%
Five
0%
Six
0%
Seven

Explanation

A number that is divisible by itself or

$1$ is called prime number.

Prime number between

$20$ and

$40$ are

$23,29,31 ,37$ .

Then there are

$4$ prime number between

$20$ and

$40$ .

What is the sum of the least prime number and the greatest negative even integer?

0%
$10$
0%
$0$
0%
$1$
0%
$2$
0%
$3$

Explanation

The least prime number is

$2$ , and the greatest negative even integer is

$-2$ , so the answer is

$0$ .

What is the sum of the smallest prime and the largest prime less than

$10$ ?

0%
$7$
0%
$9$
0%
$10$
0%
$11$
0%
$12$

Explanation

Smallest prime number less than

$10$ is

$2$ and largest prime number less than

$10$ is

$7$ and their sum is

$2+7=9$

What is the greatest common factor of

$45,135$ and

$270$ ?

0%
$5$
0%
$9$
0%
$15$
0%
$25$
0%
$45$

Explanation

The factors of the given numbers are:

$45 = 1,3,5,9,15$ and

$45$

$135 = 1,3,5,9,15,45$ and

$135$

$270 = 1,3,5,9,15,45,90,135$ and

$270$

The common factors in each of the above numbers are

$3,3$ and

$5$ .

Hence, the greatest common factor is

$3\times 3\times 5=45$

and as

$45$ is also a factor of both

$135$ and

$270$

Hence the GCF of

$45, 135$ and

$270$ is

$45$

Each of the following is a factor of

$80$ , except

0%
$5$
0%
$8$
0%
$12$
0%
$16$
0%
$40$

Explanation

The positive integers factor of

$80$ are

$1,2,4,5,8,10,20,40$ and

$80$

Then in given option the option C is

$12$ not the factor a factor of

$80$ .

Answer is

$12$ .

If the sum of the digits of a number is divisible by

$3$ , then the number is also divisible by __.

0%
$2$
0%
$3$
0%
$4$
0%
$5$

Explanation

If the sum of the digits of a number is divisible by

$3$ , then the number is also divisible by

$3$ .
Example:

$372$

Sum of the digits

$= 3 + 7 + 2 = 12,$ which is divisible by

$3$ .

The number,

$372$ is also divisible by

$3$ .

How many numbers are divisible by

$9$ ?

$863, 267, 129, 774, 981, 997, 936$

0%
$2$
0%
$3$
0%
$4$
0%
$5$

Explanation

Here,

$774=7+7+4=18, 981= 9+8+1=18, 936= 9+3+6=18$ are divisible by

$9$ because the sum of the digits of those numbers are a multiple of

$9$ .

Therefore, there are

$3$ numbers divisible by

$9$ .

So, option B is correct.

Find the highest common factor of

$36$ and

$84$ .

0%
$4$
0%
$6$
0%
$12$
0%
$18$

Explanation

Prime factors of

$36=2\times2\times3\times3$
Prime Factors of

$84=2\times2\times 3\times 7$

$\therefore$ H.C.F.

$=2\times2\times 3=12$ .

How many prime numbers are less than

$50$ ?

0%
$16$
0%
$15$
0%
$14$
0%
$18$

Explanation

Prime numbers less than

$50$ are:

$2,3,5,7,11,13,17,19,23,29,31,37,41,43,47$
Their number is

$15$ .

CBSE Questions for Class 6 Maths Playing With Numbers Quiz 4 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

CBSE Questions for Class 6 Maths Playing With Numbers Quiz 4 - MCQExams.com

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Practice Class 6 Maths Quiz Questions and Answers

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