How many more integers between 552 and 652 are divisible by 3 than are

Question

How many more integers between 552 and 652 are divisible by 3 than are divisible by 4 ?

A. 1
B. 6
C. 8
D. 9
E. 12

OhsostudiousMJ · Accepted Answer

Total number of integers = (652-552)+1 = 101.
 652  and  552  are not included. So, 101-2 = 99 integers.
Divisible by 3 = 99/3 = 33.
Divisible by 4 = 99/4 = 24. (The 25th divisible number would be 652, but it's not included, hence 24).

33-24 = 9. Answer is  D.

Archit3110 · Answer

from 552 to 652
no of integers divisible by 3 are range 185 to 217 i.e 32 integers
and similarly for 4 are in range 139 to 162 i.e 23 integers
so no overlap integers 32-23 = 9 
IMO D

kavitabajpayee07 · Answer

Could you please confirm, my answer was 8 - C

Archit3110 · Answer

kavitabajpayee07 
hello how is it coming as 8 ; please elaborate your answer...

VGOEL1234 · Answer

It is C
Total factors of 3 are 34: 552 itself plus 33 more in next 100 integers from 553-652
Total factors of 4 are 26: 552 itself plus 25 more in next 100 integers from 553-652

So 34-26 giving 8 as answer

Posted from my mobile device

Archit3110 · Answer

VGOEL1234 
How many more integers  between  552 and 652 are divisible by 3 than are divisible by 4

you seem to have included 552 & 652 as well

solution would be
no of integers divisible by 3 would be factors from 185 to 217 i.e 32 integers
and similarly for 4 factors are 139 to 162 i.e 23 integers
so overlap integers 32-23 = 9 ; which are not divisible by 4

smlprkh · Answer

Archit3110 , can you explain your process, I am confused!

no of integers divisible by 3 are range 185 to 217 i.e 32 integers
and similarly for 4 are in range 139 to 162 i.e 23 integers
so no overlap integers 32-23 = 9

How are you getting the ranges?

Archit3110 · Answer

smlprkh : question is to find out how many more integers between 552 and 652 are divisible by 3 than are divisible by 4 ? in short we need to determine the total no of integers which are divisible by 3 but not by 4 since we need to find integer values between not inclusive from 552 to 652 so factor of 3 which divides integer after 552 is 185 similary 217 *3=651 which is last integer before 652 so the total no of integers divisible by 3 are in range 185 to 217 i.e " 217-185"= 32 integers ; similarly we can determine the value of total integers divisible by 4 between 552 to 652 ; 4*139 = 556 and 162 *4 = 158 so integers range for no divisible by 4 are in range 139 to 162 i.e " 162-129" = 23 integers so no overlap integers 32-23 = 9 hope this helps..

Chethan92 · Answer

Bunuel  sir, If the question mentions whether the numbers 552 and 652 should be included or not will help solve the confusion whether to include those numbers or not. TIA

And does GMAT explicitly mention whether the numbers are inclusive or exclusive?

ScottTargetTestPrep · Answer

The number of multiples of 4 between 552 and 652 is:

(648 - 556)/4 + 1 = 24

The number of multiples of 3 between 552 and 652 is:

(651 - 555)/3 + 1 = 33

So there are 33 - 24 = 9 more multiples of 3 than multiples of 4 between 552 and 652.

Answer: D

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

How many more integers between 552 and 652 are divisible by 3 than are

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

How many more integers between 552 and 652 are divisible by 3 than are

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards