Quantitative Aptitude – Equation – How many of the integers 1, 2


Slot – 3 – Quantitative Aptitude – Equation – How many of the integers 1, 2


Q. How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?
  1. 42
  2. 40
  3. 41
  4. 43
Answer: 41

Solution:
No of integers divisible by 2 = 120/2 =60
No of integers divisible by 5 = 120/5 = 24
No of integers divisible by 7 = [120/2] =17
No of integers divisible by 2 and 5 = 120/10 =12
No of integers divisible by 2 and 7 = [ 120/14 ] =8
No of integers divisible by 5 and 7 = [120/35 ] =3
No of integers divisible by 2 , 5 and 7 = [120/70]= 1
So numbers divisible by 2, 5 or 7 = 60+24+17 – 12 – 8 – 3 + 1 = 79
So numbers divisible by none = 120 – 79 = 41


Online Coaching Course for CAT 2021 + Test Series

a) 1000+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video