Playing with Numbers Class 6 MCQ Questions

Answer: (b) No

Explanation: A number is divisible by 2, if the digit at ones place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.

In,2757

7 is at ones place

and 7 is not divisible by 2

So,2757 is not divisible by 2.

Answer: (b) No

Explanation: A number is divisible by 3, if the sum of all the digits of the numbers are divisible by 3.

In, 54761

Sum of its digits = 5 + 4 + 7 + 6 + 1 = 23

and 23 is not divisible by 3

So, 54761 is not divisible by 3

Answer: (a) Yes

Explanation: A number is divisible by 4, if the number formed by last 2 digits of that number (ones and tens place) is divisible by 4.

In, 33036

36 is the number formed by tens and ones place.

and 36 is divisible by 4

Therefore, 33036 is also divisible by 4

Answer: (b) No

Explanation: A number is divisible by 5 if the digit at ones place is either “0” or” 5″.

In, 53849

9 is the digit at ones place.

So, 53849 is not divisible by 5

Answer: (a) Yes

Explanation: A number is divisible by 6, if it is divisible by both 2 and 3.

Checking Divisibility for 2,

A number is divisible by 2, if the digits at ones place is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.

In, 64848

8 is at ones place

and 8 is divisible by 2

So, 64848 is also divisible by 2

Checking Divisibility for 3,

A number is divisible by 3, if the sum of all the digits of the numbers , is divisible by 3.

In, 64848

Sum of its digits = 6 + 4 + 8 + 4 + 8 = 30

and 30 is divisible by 3

So, 64848 is also divisible by 3

Therefore, 64848 is divisible by 2 and 3

Hence, 64848 is also divisible by 6.

Answer: (b) No

Explanation: A number is divisible by 8, if the number formed by last 3 digits of that number (ones, tens and hundreds place) is divisible by 8

In, 725887

887 is the number formed by ones, tens, and hundreds place digits or the number formed by last 3 digits

and 887 is not divisible by 8

Hence, 725887 is not divisible by 8

Answer: (a) Yes

Explanation: A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.

In, 78939

Sum of its digits = 7 + 8 + 9 + 3 + 9 = 36

and 36 is divisible by 9

So, 78939 is also divisible by 9

Answer: (b) No

Explanation: A number is divisible by 10 if the digit at ones place is 0.

In, 76524

4 is at ones place.

So, 76524 is not divisible by 10

Answer: (b) No

Explanation: A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.

In, the given number 91426

Sum of the digits at even places:

2 + 1 = 3

Sum of the digits at odd places:

6 + 4 + 9 = 19

Difference between sum of digits at even and odd places = 19 – 3 = 16 ( Which is not divisible by 11 )

Therefore, 91426 is not divisible by 11

Answer: (c) 4

Explanation: A number is divisible by 2, if the digit at ones place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.

In, 215_

If the missing digit is 4

then, the number would be divisible by 2

i.e., 2154 is divisible by 2

Therefore, 4 is the digit, which should be filled in blank space to form a number which is divisible by 2.

Answer: (a) 7

Explanation: A number is divisible by 3, if the sum of all the digits of the numbers are divisible by 3.

In, 643_592

Sum of given digits = 6 + 4 + 3 + 5 + 9 + 2 = 29

29 + 7 = 36 which is divisible by 3

29 + 9 = 38 which is not divisible by 3

29 + 6 = 35 which is not divisible by 3

29 + 8 = 37 which is not divisible by 3

Hence, the only sum which is divisible by 3 is 29 + 7 = 36

i.e., 6437592 is the number which is divisible by 3

Therefore, 7 is the digit, which should be filled in blank space to form a number which is divisible by 3.

Answer: (d) 5

Explanation: A number is divisible by 5 if the digit at ones place is either “0” or” 5″.

In,629_

If the missing digit is 5

then, the number would be divisible by 5

i.e., 6295 is divisible by 5

Therefore, 5 is the digit, which should be filled in blank space to form a number which is divisible by 5.

Answer: (a) 0

Explanation: A number is divisible by 10 if the digit at ones place is 0.

In,749 _

If the missing digit is 0

then, the number would be divisible by 10

i.e., 7490 is divisible by 10

Therefore, 0 is the digit, which should be filled in blank space to form a number which is divisible by 10.

Answer: (a) 4

Explanation: A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.

In, 87_94

Sum of the digits at even places:

9 + 7 = 16

Sum of the digits at odd places:

4 + 8 = 12

As the blank is at odd place

Difference between sum of digits at even and odd places = 16 – 12 = 4

So, if the number in the blank space is 4

then, the difference will be 0

and the number would be divisible by 11 since the difference between the sum of the digits at odd place and the digits at even place would be 0

i.e., 87494

Therefore, 4 is the digit, which should be filled in blank space to form a number which is divisible by 11.

Answer: (d) 26

Explanation: Numbers which are divisible by 2 are known as Even numbers.

A number is divisible by 2, if the digit at ones place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.

In present case, 26 is divisible by 2

Therefore, 26 is an even number.

Answer: (b) 843

Explanation: Numbers which are not divisible by 2 are known as odd numbers.

A number is divisible by 2, if the digit at ones place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.

In other words, if the digit at ones place is 1, 3, 5, 7, 9, it would not be divisible by 2

In present case, 843 is not divisible by 2

Therefore, 843 is an odd number.

Answer: (b) 3

Explanation: Prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself

In other words, we can say prime numbers don’t have any factor other than 1 and itself.

Factors of 10 are 5 x 2

Factors of 3 are 3 x 1

Factors of 4 are 2 x 2

Factors of 9 are 3 x 3

Here, Factors of 3 are 3 x 1

3 is not divisible by any other number, other than 1 and itself

therefore, 3 is prime number.

Answer: (a) 107 and 109

Explanation: Two consecutive odd prime are known as twin primes

In other words, we can say twin prime numbers are prime number having difference of 2.

Factors of 107 are 107 x 1

Factors of 109 are 109 x 1

Here, 107 and 109 both are not divisible by any other number, other than 1 and itself

Therefore, 107 and 109 are prime numbers.

Difference between 107 and 109 is 2

Hence, 107 and 109 both are prime and having difference of 2. So, they are twin prime numbers.