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.
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
09 Jul 2025, 04:32
Kudos
Bookmarks
Ordered pets (rabbit, parrot, pet3, pet4, pet5, pet6)
Apple slices are identical: 6!/2!=360 permutations
These permutations include when mango is assigned to rabbit and banana is assigned to parrot.
As all is simetrical, there will be 360/6=60 permutations where mango is assigned to rabbit and 360/6=60 permutations where banana is assigned to parrot.
360-120 = 240
It is required to add when mango is assigned to rabbit and banana is assigned to parrot because it has been removed two times (4!/2!=12)
240+12=252
Correct answer is C
Apple slices are identical: 6!/2!=360 permutations
These permutations include when mango is assigned to rabbit and banana is assigned to parrot.
As all is simetrical, there will be 360/6=60 permutations where mango is assigned to rabbit and 360/6=60 permutations where banana is assigned to parrot.
360-120 = 240
It is required to add when mango is assigned to rabbit and banana is assigned to parrot because it has been removed two times (4!/2!=12)
240+12=252
Correct answer is C
09 Jul 2025, 04:40
Kudos
Bookmarks
We have 6 distinct pets, and we need to distribute 6 treats:
2 identical apples,
1 banana,
1 carrot,
1 mango,
1 pear.
Constraints:
Rabbit cannot get mango.
Parrot cannot get banana.
Step 1: Total number of ways without restriction
Total permutations of 6 treats with 2 identical apples:(6!/2!)= 360
Now, Subtract invalid cases
Case 1: Rabbit gets mango
Choose 1 pet for mango = 1 (fixed to rabbit)
Remaining 5 treats to 5 pets:(5!/2!)= 60
Case 2: Parrot gets banana
Same:(5!/2!)= 60
Case 3: Both rabbit gets mango AND parrot gets banana
Remaining 4 treats to 4 pets:(4!/2!)= 12
Final= 360-60-60+12= 252
Correct answer Option(C)
2 identical apples,
1 banana,
1 carrot,
1 mango,
1 pear.
Constraints:
Rabbit cannot get mango.
Parrot cannot get banana.
Step 1: Total number of ways without restriction
Total permutations of 6 treats with 2 identical apples:(6!/2!)= 360
Now, Subtract invalid cases
Case 1: Rabbit gets mango
Choose 1 pet for mango = 1 (fixed to rabbit)
Remaining 5 treats to 5 pets:(5!/2!)= 60
Case 2: Parrot gets banana
Same:(5!/2!)= 60
Case 3: Both rabbit gets mango AND parrot gets banana
Remaining 4 treats to 4 pets:(4!/2!)= 12
Final= 360-60-60+12= 252
Correct answer Option(C)
09 Jul 2025, 04:40
Kudos
Bookmarks
Treats must be ordered (each one is assigned to one pet)
As apple is repeated, 6!/2!=360 is the total of permutations without additional conditions.
But we have to eliminate rabbit-mango (5!/2!=60) or parrot-banana (5!/2!=60).
As we have eliminated twice rabbit-mango and parrot-banana, it's necessary to add 4!/2!=12.
Total=360-120+12=252
The right answer is C
As apple is repeated, 6!/2!=360 is the total of permutations without additional conditions.
But we have to eliminate rabbit-mango (5!/2!=60) or parrot-banana (5!/2!=60).
As we have eliminated twice rabbit-mango and parrot-banana, it's necessary to add 4!/2!=12.
Total=360-120+12=252
The right answer is C
