If subtracting twice of last digit from the number formed by  remaining digits  is divisible by 7,

Then number is divisible by 7

 

Is 371 divisible by 7?

Twice of last digit = 2 × 1 = 2

Remaining digits = 37

Subtraction = 37 – 2 = 35

 

Since 35 is divisible by 7

∴ 371 is divisible by 7

 

Is 434 divisible by 7?

Twice of last digit = 2 × 4 = 8

Remaining digits = 43

Subtraction = 43 – 8 = 35

 

Since 35 is divisible by 7

∴ 434 is divisible by 7

 

Is 672 divisible by 7?

Twice of last digit = 2 × 2 = 4

Remaining digits = 67

Subtraction = 67 – 4 = 63

 

Since 63 is divisible by 7

∴ 672 is divisible by 7

 

Is 105 divisible by 7?

Twice of last digit = 2 × 5 = 10

Remaining digits = 10

Subtraction = 10 – 10 = 0

 

Since 0 is divisible by 7

∴ 105 is divisible by 7

 

Is 905 divisible by 7?

Twice of last digit = 2 × 5 = 10

Remaining digits = 90

Subtraction = 90 – 10 = 80

 

Since 80 is not divisible by 7

∴ 905 is not divisible by 7

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.