Question

*निम्न में से कौन सी संख्या 11 से विभाज्य है?* 1️⃣ 5764 2️⃣ 4897 3️⃣ 3159 4️⃣ 386​

Answer 1

Answer:

The correct answer is : option a

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the below numbers is divisible by 11

1. 5764

2. 4897

3. 3159

4. 386

CONCEPT TO BE IMPLEMENTED

Divisibility rule of 11

A number is divisible by 11 if the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11

EVALUATION

CHECKING FOR OPTION : 1

Here the given number = 5764

The difference between the sum of the digits at the odd and even places

= ( 5 + 6 ) - ( 7 + 4 )

= 11 - 11

= 0

So 5764 is divisible by 11

CHECKING FOR OPTION : 2

Here the given number = 4897

The difference between the sum of the digits at the odd and even places

= ( 4 + 9 ) - ( 8 + 7 )

= 13 - 15

= - 2

So 4897 is not divisible by 11

CHECKING FOR OPTION : 3

Here the given number = 3159

The difference between the sum of the digits at the odd and even places

= ( 3 + 5 ) - ( 1 + 9 )

= 8 - 10

= - 2

So 3159 is not divisible by 11

CHECKING FOR OPTION : 4

Here the given number = 386

The difference between the sum of the digits at the odd and even places

= ( 3 + 6 ) - 8

= 9 - 8

= 1

So 386 is not divisible by 11

FINAL ANSWER

Hence the correct option is 1. 5764

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