Question : How many numbers are there from 700 to 950 which are neither divisible by 3 nor by 7?
Option 1: 107
Option 2: 141
Option 3: 144
Option 4: 145

Question

Question : How many numbers are there from 700 to 950 which are neither divisible by 3 nor by 7?

Option 1: 107

Option 2: 141

Option 3: 144

Option 4: 145

Team Careers360 · Accepted Answer

Correct Answer: 144

Solution : Divisible by $3$ (i.e.,$702....948$) = $\frac{948-702}{3}+1= 83$
Divisible by $7$ (i.e.,$707...945$) = $\frac{945-700}{7}+1= 35$
L.C.M of $3, 7$ is $21$.
Divisible by $21$ (i.e.,$714...945$) = $\frac{945-714}{21}+1= 12$
Divisible by $3, 7$$= 83+35-12= 106$
Total numbers from $700$ to $950= 251$
Total numbers from $700$ to $950$ which are not divisible by both $3$ and $7= 250-106= 144$
Hence, the correct answer is 144.

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Question : How many numbers are there from 700 to 950 which are neither divisible by 3 nor by 7?Option 1: 107Option 2: 141Option 3: 144Option 4: 145

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Question : How many numbers are there from 700 to 950 which are neither divisible by 3 nor by 7?
Option 1: 107
Option 2: 141
Option 3: 144
Option 4: 145