Numbers - Discussion Page For Q.182 | Aptitude Questions and Answers | Aptitude Free Online-Tests | LucentBlackBoard

Home > Arithmetic Aptitude > Numbers > Questions and Answers Discussion

How many numbers between 100 and 600 are divisible by 2, 3, and 7 together?

A.	11	B.	12
C.	14	D.	cannot be determined

Answer and Explanation

Answer:12

Explanation:
As the division is by 2, 3, 7 together, the numbers are to be divisible by: 2*3*7 = 42
The limits are 100 and 600
The first number divisible is 42*3 = 126
To find out the last number divisible by 42 within 600:
600/42 = 14.28
Hence, 42*14 = 588 is the last number divisible by 42 within 600
Hence, total numbers divisible by 2, 3, 7 together are (14 – 2) = 12

Comment on this Question
Name:

LucentBlackBoard.com has the web's largest collection of over 15,000 aptitude questions and answers with detailed explanation which include subjects like Arithmetic Aptitude, Logical Reasoning, Verbal Ability, General Knowledge, Programming Skills and more!

Our online education portal provides a unique and standard learning experience for students. We enable the students to prepare for most of the entrance and competitive exams like MBA (MAT, GMAT), Engineering (IIT-JEE, AIEEE, GATE), Employment (IAS, Bank PO, Railway, UGCNET), Civil Services and many more. We bring you the best in education by providing technical excellence and creating innovative solutions. We provide facility for online test preparation that offers 24/7 access to relevant subject matter and relative tests. These test preparations help the students to groom themselves and get prepared before actually facing the examination.