Question

1 और 100 के मध्य कितनी ऐसी पूर्ण संख्याएं जिनमें
एक अंक 4 है लेकिन वे 4 से विभाज्य नहीं है?

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Answer 1

Answer:

इसलिए संख्या 41,42,43,45,46,47 और 49. 44 और 48 पहले ही हटा दिए गए हैं क्योंकि वे 4 से विभाज्य हैं। 1-100 में कुल 7 संख्याएँ हैं और 1- में कुल 28 संख्याएँ हैं। 400।

Step-by-step explanation:

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Answer 2

Answer:

12

Step-by-step explanation:

Concept= Divisibility by 4

Given= The number should contain 4 but should not be divisible by 4

To Find= The total number of such digits between 1 and 100

Explanation(English)=

We have been given to find the total number of digits which contain 4 and are not divisible by 4 between 1 and 100.

The rule of divisibility of 4 states that:

1. If the number contains last two digits as 0 it is divisible by 4.

  example= 100, the last two digits are 0 and 0 and hence 100 is divisible

   by 4. 100/4= 25

2. If the last two digits of the number are divisible by 4 then the number is divisible by 4.

example= 04: this is divisible by 4

                 116: this has the last two digit 16 and 16 is divisible 4 therefore      

                        116 is divisible by 4. 116/4 =29

So now we know the rules of divisibility by 4 so we search for number not divisible by 4 and containing 4 between 1 and 100.

Such numbers are 14, 34, 41, 42, 43, 45, 46, 47, 49, 54, 74, 94.

Therefore there are 12 numbers between 1 and 100 which are contain the  digit 4 and not divisible by 4.

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