Organisation : IIT Delhi
Exam : Joint Admission Test – JAM
Document Type : Model Question Paper
Category or Subject : Mathematics
Year : 2016
Website : http://jam.iitd.ac.in/
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Download Question Paper 2016 : https://www.pdfquestion.in/uploads/9718-MAQP2016.pdf
Mathematics Model Question Paper :
Q. 1 – Q.10 carry one mark each.
Q.1 The sequence {sn} of real numbers given by
(A) a divergent sequence
(B) an oscillatory sequence
(C) not a Cauchy sequence
(D) a Cauchy sequence
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Q.2 Let P be the vector space (over R of all polynomials of degree <3 with real coefficients. Consider the linear transformation T:p->P defined by
Then the matrix representation M of T with respect to the ordered basis (1,x,x2,x3) satisfies
(A) M2+I4 = 0
(B) M2-I4 = 0
(C) M-I4 = 0
(D) M+I4 = 0
Q.4 Let d be an element of the permutation group s5. Then the maximum possible order of d is
(A) 5
(B) 6
(C) 10
(D) 15
Q.5 Let S be a closed subset of R.T compact subset of R such that SnT = 0. Then SnT is
(A) closed but not compact
(B) not closed
(C) compact
(D) neither closed nor compact
Q. 11 – Q. 30 carry two marks each.
Q.11 Let ?? be the series and T be the series of real numbers. Then which one of the following is TRUE?
(A) Both the series x and yare convergent
(B) x is convergent and y is divergent
(C) a is divergent and bis convergent
(D) Both the series a and b are divergent
12.Let S be a closed subset of R, T a compact subset of SUT such that n Then SUT n is
(A) closed but not compact
(B) not closed
(C) compact
(D) neither closed nor compact
Chemistry Model Question Paper :
Q. 1 – Q.10 carry one mark each.
Q.1 T he correct order of pKa for the following compounds is
(A) II > I > III > IV
(B) II > I > IV > III
(C) III > IV > I > II
(D) IV > II > I > III
Q.2 T he major product formed in the following reaction is
(A) Eriochrome black T
(B) Methyl orange
(C) Phenolphthalein
(D) Methylene blue
Q.3 T he mechanism of the following transformation involves
(A) Aldol reaction and Cannizzaro reaction
(B) Aldol reaction and Claisen-Schmidt reaction
(C) Knoevenagel condensation and Cannizzaro reaction
(D) Stobbe condensation and Cannizzaro reaction
Q.4 T he most basic amino acid among the following is
(A) tyrosine
(B) methionine
(C) arginine
(D) glutamine
Q.5 T he crystal field stabilization energy (CFSE) in [Mn(H2O)6]2+ is
(A) 0 ?O
(B) 2.0 ?O – 2P
(C) 0.4 ?O – 2P
(D) 2.0 ?O
Q.6 I ndicator used in redox titration is
(A) Eriochrome black T
(B) Methyl orange
(C) Phenolphthalein
(D) Methylene blue
Q.7 A mong the following, the compound that has the lowest degree of ionic character is
(A) NaCl
(B) MgCl2
(C) AlCl3
(D) CaCl2
Q.8 T he correct order of entropy for various states of CO2 is
(A) CO2(s) > CO2(l) > CO2(g)
(B) CO2(l) > CO2(s) > CO2(g)
(C) CO2(g) > CO2(l) > CO2(s)
(D) CO2(g) > CO2(s) > CO2(l)
Q.9 T he coordination numbers of Cs+ and Cl– ions in the CsCl structure, respectively, are
(A) 4,4
(B) 4,8
(C) 6,6
(D) 8,8
Q.10 Determinant of a square matrix is always
(A) a square matrix
(B) a column matrix
(C) a row matrix
(D) a number
Q. 11 – Q. 30 carry two marks each.
Q.11 T he correct order of 1H NMR chemical shift (?) values for the labeled methyl groups in the following compound is
(A) Me1 < Me2 < Me3 < Me4
(B) Me3 < Me4 < Me1 < Me2
(C) Me3 < Me1 < Me4 < Me2
(D) Me2 < Me4 < Me3 < Me1
Q.12 Among the following, the most stable conformation of meso-2,3-dibromobutane is
Q.13 T he major products X and Y in the following reaction sequence are
Q.14 T he major product formed in the reaction of butanenitrile with phenylmagnesium bromide followed by acidification.