Will you please provide me question paper for IIT JAM joint admission test mathematics subject ?

Here I am giving you question paper for IIT JAM joint admission test mathematics subject in PDF file attached with it so you can get it easily

Which one of the following is TRUE ?
(A) The characteristic of the ring is 6 6
(B) The ring has a zero divisor 6
(C) The characteristic of the ring ()66× is zero Q.9
(D) The ring 66× is an integral domain

Q.20 Find the area of the portion of the surface 2zxy2 =− in which lies inside the solid cylinder. 3 221xy+≤(

Q.24 (a) Let be a finite group whose order is not divisible by 3. Show that for every there exists an such that G,gG∈hG∈3.gh=(6)

(b) Let A be the group of all rational numbers under addition, B be the group of all non-zero rational numbers under multiplication and the group of all positive rational numbers under multiplication. Show that no two of the groupsC,and ABC are isomorphic.


(a) Let A be a nonempty bounded subset of Show that . {}|for all xxaaA∈≥∈ is a closed subset of . (6) (b) Let {}nxbe a sequence in such that 121|| for all .nnxxnn+−< ∈ Show that the sequence {}nxis convergent.

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