Think & Learn Pvt. Ltd. recruited 80 professors, of which it was observed that every professor had exactly one qualification among (a) MBA (b) B.E.
Atleast one feature among the following two:
- He is from a reputed college.
- He had good academic record.
And experience in exactly one of the following domains:
(a) Quant (b) DI
Further it is also known that,
(a) 20 professors who are MBAs had a good academic record as well as experience in DI. These professors form 50% of those with experience in DI.
(b) No professor with experience in Quant had both the features mentioned in (ii), ie., being from a good college and having a good academic record.
(c) 30 professors were B.Es of which 15 had an experience in Quant.
(d) Of the professors with experience in DI, 15 were from a reputed college and they had good academic record.
(e) In total, 45 professors had a good academic record, of which two-thirds were MBAs and one-thirds had experience in Quant.
How many B.Es are from a reputed college but neither had neither a good academic record nor any experience in Quant?