Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 2807:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included! Class starts Mon, Tues, Wed, Thur, Fri Sept. 28, 2026 - Oct. 16, 2027, 7:00pm-10:00pm EST
Sep 2911:00 AM EDT
-01:00 PM EDT
" Description: Top scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thur Sept. 29, 2026 - Dec. 3, 2026, 11:00am-1:00pm EST
Oct 0107:00 AM BST
-08:00 AM GMT
Welcome to the GMAT Club's Free Interview Prep Event for Top MBA Programs! Buy tickets - Virtual series that’s all set to equip you to -excel in your MBA interviews.
Oct 0301:00 PM EDT
-04:00 PM EDT
Top scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Saturdays Oct. 3, 2026 - Dec. 26, 2026, 1:00pm-4:00pm EST
09 May 2019, 21:27
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
21% (02:59) correct
79%
(02:56)
wrong
based on 61
sessions
History
Date
Time
Result
Not Attempted Yet
How many squares whose sides are parallel to the axes and whose vertices have coordinates that are integers lie entirely within the region bounded by the line \(y=\pi x\), the line y = -0.1 and the line x = 5.1?
(A) 30
(B) 41
(C) 45
(D) 50
(E) 57
(A) 30
(B) 41
(C) 45
(D) 50
(E) 57
14 May 2019, 03:15
Kudos
Bookmarks
When x=0, no integral value of y lie in region
When x=1, 0=<y<3.14 Hence 4 points lie in region
When x=2, 0=<y<6.28 Hence 7 points lie in region
When x=3, 0=<y<9.42 Hence 10 points lie in region
When x=4, 0=<y<12.56 Hence 13 points lie in region
When x=5, 0=<y<15.70 Hence 16 points lie in region
First count Total squares with side 1*1
When we choose 2 points on x=1 and 2 points on x=2, squares possible= 4-1=3
When we choose 2 points on x=2 and 2 points on x=3, squares possible= 7-1=6
When we choose 2 points on x=3 and 2 points on x=4, squares possible= 10-1=9
When we choose 2 points on x=4 and 2 points on x=5, squares possible= 13-1=12
Hence total 1*1 squares= 12+9+6+3+0=30
count Total squares with side 2*2=
When we choose 2 points on x=1 and 2 points on x=3, squares possible=4-2=2
When we choose 2 points on x=2 and 2 points on x=4, squares possible=7-2=5
When we choose 2 points on x=3 and 2 points on x=5, squares possible=10-2=8
Hence total 2*2 squares= 2+5+8=15
count Total squares with side 3*3=
When we choose 2 points on x=1 and 2 points on x=4, squares possible=4-3=1
When we choose 2 points on x=2 and 2 points on x=5, squares possible=7-3=4
Hence total 3*3 squares= 1+4=5
There are 0 4*4 squares possible
Total squares lie in the region= 30+15+5=50
When x=1, 0=<y<3.14 Hence 4 points lie in region
When x=2, 0=<y<6.28 Hence 7 points lie in region
When x=3, 0=<y<9.42 Hence 10 points lie in region
When x=4, 0=<y<12.56 Hence 13 points lie in region
When x=5, 0=<y<15.70 Hence 16 points lie in region
First count Total squares with side 1*1
When we choose 2 points on x=1 and 2 points on x=2, squares possible= 4-1=3
When we choose 2 points on x=2 and 2 points on x=3, squares possible= 7-1=6
When we choose 2 points on x=3 and 2 points on x=4, squares possible= 10-1=9
When we choose 2 points on x=4 and 2 points on x=5, squares possible= 13-1=12
Hence total 1*1 squares= 12+9+6+3+0=30
count Total squares with side 2*2=
When we choose 2 points on x=1 and 2 points on x=3, squares possible=4-2=2
When we choose 2 points on x=2 and 2 points on x=4, squares possible=7-2=5
When we choose 2 points on x=3 and 2 points on x=5, squares possible=10-2=8
Hence total 2*2 squares= 2+5+8=15
count Total squares with side 3*3=
When we choose 2 points on x=1 and 2 points on x=4, squares possible=4-3=1
When we choose 2 points on x=2 and 2 points on x=5, squares possible=7-3=4
Hence total 3*3 squares= 1+4=5
There are 0 4*4 squares possible
Total squares lie in the region= 30+15+5=50
Bunuel
17 May 2019, 06:48
Kudos
Bookmarks
Is it really possible to get such lengthy questions in GMAT?
