Divisibility Rule of 3
Divisibility Rule of 3:
Any natural number is divisible by 3 if the sum of its digits is also divisible by 3.
Justification:
Let us first consider case of a two digit number:
be a two digit number. Then, n can be written as
n = 10a + b, where b is units digit of n.
n = 9a + a + b
n = a multiple of 9 + ( a + b )
Since a multiple of 9 is also a multiple of 3, so
n is a multiple of 9, if ( a + b ) is a multiple of 3
Thus, a two digit number is divisible by 3, if the sum of its digits is divisible by 3.
Which of the following number is divisible by 3? 561 , 322 , 905, 617 | |||
| Right Option : A | |||
| View Explanation | |||
Which of the following numbers are not divisible by 3? 556500 , 425421 , 910665, 514518, 432771, 648720,976430 | |||
| Right Option : D | |||
| View Explanation | |||
What will be the smallest value of x such that the 5- digit number 4x987 is divisible by 3? | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
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Ayan Ghosh
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Yogansh Nyasi
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Om Umang
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Archit Segal
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Barkha Arora
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
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