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
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
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.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CGL
