Free e-GMAT Live Webinar! Master SC with 90% Accuracy
LIVE: JUNE 10TH, 2023, 7-9AM PST
JOIN FREE WEBINAR: USE MEANING & LOGIC TO SOLVE 700+ LEVEL SENTENCE CORRECTION Qs with 90+% ACCURACY.
e-GMAT
Presented by e-GMAT
Register

How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

by BTGmoderatorDC » Wed Aug 03, 2022 7:40 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

A. 8

B. 12

C. 15

D. 16

E. 24


OA D

Source: Princeton Review
Top
Legendary Member
Posts: 2124
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

Re: How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

by swerve » Sun Aug 07, 2022 11:13 am
BTGmoderatorDC wrote: ↑
Wed Aug 03, 2022 7:40 am
 How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

A. 8

B. 12

C. 15

D. 16

E. 24


OA D

Source: Princeton Review
LCM of \(3\) and \(4\) is \(12\).

We need to look for multiples of \(12\) up to \(200\).

First multiple of \(12\) is \(12\)
Last multiple of \(12\) is \(192\)

Total integers \(= \dfrac{192 - 12}{12} + 1 = 15+1 = 16\).

Therefore, D
Top
Post new topic Post Reply
• Page 1 of 1