Official Quants Group|CAT:2022|MBA:2023-2025

if x pens are distributed equally among certain number of students, 14 remain undistributed. But if x^2 pen are distributed equally among the same number of students, 11 pen remains undistributed. which of the following can be the total number of students.

1) 37

2) 25

3) 35

4) 29

Let X = {2, 22, 222, …2222 upto 67 times}. Y is a subset of X such that the sum of no two elements of Y is divisible by 3. What is the maximum number of elements possible for Y?

@vishiac @gsm2780 @TanujA3 @eht.arshad @avish27

@vishiac @gsm2780 @TanujA3 @eht.arshad

@vishiac @gsm2780 @TanujA3

@vishiac @gsm2780 @TanujA3

@vishiac @gsm2780 @TanujA3

@vishiac @gsm2780 @TanujA3 @ektappaout

@vishiac @TanujA3 @ektappaout

@vishiac @gsm2780 @TanujA3 @ektappaout

@vishiac @gsm2780 @TanujA3

I got option c. Is it correct?

@vishiac @gsm2780

@vishiac @gsm2780 @TanujA3

@vishiac @gsm2780 @TanujA3 @ektappaout

@vishiac @gsm2780 @ektappaout

@vishiac @gsm2780 @TanujA3 @ektappaout

@vishiac @gsm2780 @TanujA3 @ektappaout

 

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Please help with this question 2 I am missing some cases in this question