Guys , I have seen the WhatsApp group post in this group, but from the last comment i think it is not created yet.
As the shortlist cut-off is out , We will create a WhatApp group to discuss around Extempore/ PI for the shortlisted candidate only.
So the students who will be shortlisted, kindly...

How many 3 digit numbers are there in the decimal system which have exactly 3 digits when expressed in both Base 7 and Base 13? (a) 169 (b) 243 (c) 173 (d) 174

Set S is formed by selecting some of the numbers from the first 110 natural numbers such that the HCF of any two numbers in the set is the same. If every pair of numbers of set S has to be relatively prime and set S has the maximum number of elements possible, then in how ways can the set S be se...

Raju has 128 boxes with him. He has to put at least 120 oranges in one box and 144 at the most. Then the least number of boxes which will have the same number of oranges is:

Raju has 128 boxes with him. He has to put at least 120 oranges in one box and 144 at the most. Then the least number of boxes which will have the same number of oranges is:

@Highway66 i meant the question asks only for integral values , i am assuming it to be a continuos function and saying for other integral values greater than 14 the functions value decreases , so maxima occurs at 14 , sorry for the garbled line

b) Find a30 given that the first few terms of an arithmetic sequence are given by 6,12,18,...
guys for this problem is it right to put a30 instead of tn where tn=a+(n-1)d

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
A. 159
B. 209
C. 201D. 212
approach ?