# blog. viewanswer: b answer: c [ci`(h2o)4c1(no2)]ci coon hooc-ch2\n_cch~_ch___n/h ml ` | ` \' ' ch2...

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ANSWER: B

ANSWER: C

[CI`(H2O)4C1(NO2)]CI

COON

HOOC-CH2\N_CCH~_CH___N/H

D) Ml ` | ` \' ' CH2 CH2 -COOH

HOOC'

HOOC`.."CHZ CH2"COOH

\ I

C) /N-CH2-CH2-N\

HOOC""CH2 CH2-COOH

[SECTION -I](Single Correct Choice Type)This Section contains 8 multiple choice questions. Each question has four choicesA), B), C) and D) out of which ONLY ONE is correct.

1. The correct structure of ethylenedialninetetraacetic acid (EDTA) is

is

C) [CI`O)4C1(ONO)]CI

3 .

of

B) BrCH~CH2CH3 mld CH3CCII2C -=CH

D ) BrCH2CH2C H2CH3 and CH3C fI2C @ CH

ANSWER: D

ANSWER: A

4) The correct statement about the following disaccharide is

o H cHzOH O H

/CI|20 OH fB)

D) OH and CH3Br

ANSWER: D

ANSWER: C

ANSWER: A

7. The species which by definition has ZERO standard mo enpy of formationat 298 K is

6. Plots showing the variation of the rate constant Ck) with temperature CT) areen below. e plot that follows Arrhenius equation is

A)C)

1k

1k

D)

A} Br!2 (gJ

B} C(7 (g) C) H2O lg) D) CH4 (gJ

ANSWER: B

8. The bond energy (In kea1 mol-IJ of a C-C slngle bond Is approtely

A) 1 B) 10 C) 100 D) 1000

ANSWER: A and B

C) C2H5 d H D) CH3 mld CH3

ANSWER: B and D

12) Among the following, the intensive property is (properties are)

A) molar conductivity B) electromotive force

C) resistance D) heat capacity

ANSWER: B

9. The reagent(s) used for softening the tempor hardness of water is(are)

A) Ca3(PO4)2 B) Ca(OH)2 C) Na2CO3 D) NaOCI

11. In the Newman projection for 2.2-dimethv.Ibutane

X and Y can respectively be

A) H and H B) H and C2H5

SECTION II- PARAGRAPH TYPE

ANSWER: D

13. Aqueous solutions of HNO3 , KOH. C H3 C O O H, and C H3C O ONa of identicalconcentrations are provided. The pair(s) of solutions which form a buffer upon g is(are)

A) HNO3 and CH3COOH B) KOH and CH3COONa

B) HNO3 and CH3COONa D) CHsCOOH and CH3COONa

ANSWER: C and D

14. Partial roasting of chalcopyrite produces

B) CuQ{O and FeO

ANSWER: A

15. Iron is removed from chalcopyrite

A) FeO B) FeS

B) Fe2O3

C) FeSiO3

ANSWER: C

16. In self-reduction, the reducing species is

A )S B)O 2-

Paragraph for guestions 17 to 18

The concentration of potassium ions inside a biological cell is at least twenty timeshigher than the outside. The resulting potential difference across the cell is importantin several processes such as transmission of nerve impulses and maintaining the ionbalance. A simple model for such a concentration cell involving a metal M is:

M(s) |M+ aq: 0.05 molar) ||M- aq: 1 molar) IM(s)

For the above electrolytic cell the magnitude of the cell potential IE ] = 70 mV.

17. FOl` file above cell

A) E < 0: D G > 0 B) E > 0: DG < 0

B) E < 0: D Go > 0 D) E > 0: DGo < 0

ANSWER: B

18. If the 0.05 molar solution of M+ is replaced by a 0.0025 molar M+ solution. thenthe tude of the cell potential would be

A) 35 mV B) 70 mV

B) 140 mV D) 700 mV

ANSWER: C

SECTION- IV(INTEGER TYPE)

ANSWER: 4

ANSWER: 5

ANSWER: 2

19.20.

ANSWER: 1

22. Amongst the following the total number of compounds soluble in aqueous NaOH is

[RI (molm`)

23. Amongst the following, the total number of compounds whose aqueous solutlonturns red litmus paper blue is

24) Based on VSEPR theoly. the number of 90 degree F-Br-F anes in BrF5 is

ANSWER: either 0 or 8

25. The value of n in the molecular formula Be 3Si6Ol3 Is

ANSWER: 3

26. A student performs a titration with different burettes and finds titre values of25.2 Inf. 25.25 and 25.0 inf. e number of ant figures in the etitre value is

27 . The concentration of R In the reaction R P was measured as a function of

time and the following data is obtained:

1 .O

O. 7 5

0.40

0.10

t(n.)

O . O

0.05

0.12

0.18

ANSWER: 4

ANSWER: o

ANSWER: 3

ANSWER: 3

28. The number of neutrons emitted when 2U undergoes controlled nuclear fission

ANSWER: C

x y"Z

30. Bquation of the plane containing the straight line == and perpendicular to

xVz xyzthe plane containing the straight lines =-=-2 and ==-3 is

A) x + 2y ~- 2z=0 B) 3x+ 2y 2z=o C) x - + z=0 D) 5X+ 2y - 4z=0

1Al

/3B)

| SECTION -I| (Single Correct Choice Type)

29. If the angles A, B and C of a triangle are in an arithmetic progression and if a. band c denote the lengths of the sides opposite to A, B and C 1`espectively, then

a cthe value of the expression a/c sin2C+ c/a sin2A is

c a

C)1

ANSWER: D

31. Let wbe a complex cube root of uni~ with w=l. A fan` die is tllrowll three tilnes.If rl , r2 and r3 are the numbers obtained on the die. then the probabih mat

1Al I

IB)

2C)

ANSWER: C

ID)

A) parallelogram, which Is neither a rhombus nor a rectangle

B) square

C) rectangle, but not a square

DJ rhombus, but not a square

ANSWER: A

ANSWER: D

ANSWER: B

35. Let p and q be real numbers such that p = 0 p 3 # q and p 3 # - q . If a and b are

nonzero complex number sans a + b = - p and a3 + b3 = q , then a quadratic

a equation ha-b and as Its roots is

A) (p3 + q) x 2 - (p 3 + 2q)x + (p3 + q) = 0 B) (p3 + q) x 2 - (p 3 - 2q)x + (p3 + q) = 0

B) (p 3 - q ) x2 - (5p 3 - 2q) x + (p 3 - q) = 0 D) (p 3 - q) x 2 - (5p 3 + 2q) x + (p 3 - q) = 0

1

B) --' 12

ANSWER: B

I

D) --' 64

1

C) '24

33. The number of 3x3 matrices A entries are either O or 1 and for the

Ix| II|

A|y|=|o| has exactlv two distinct solutions, isIzl IO|

A)0

B) 28 ` 1 C) 168 D) 2

ANSWER: A

A) 0

36. Let f, g and 11 be real-valued functions deflned on the Interval lo, ll byf (x) = ex2 + e-x2 , g(x) = Xex2 + e-x2 and h(x) = X2ex2 + e-x2 . If a. b and c denote.respe ely. the absolute um of f, g and h on IO, 11, then

ANSWER: A and C and D

ANSWER: B

ANSWER: C and D

38. Let ABC be a triangle such that ACE= and let a, b and c denote the lengths of< 6

the sides opposite to A. B and C respe . e s) of x for ch

a = x2 + x + 1. b = X2 - 1 and c = 2x + 1 is (are)

1 1

A) - - B) -1. r

| SECTION - II | Multiple Correct Choice Type)

37. let A and B be o distinct points on the parabola y2 - 4x. If the axis of theparabola touches a circle of radl'us r ha AB as its diameter, then the slope ofthe line joining A and B can be

2

C)-r

2

DJ -1

39. Let 21 and Z2 be tw"o mstmct complex numbers and let z = (1 - t) 21 + tZ2 for somereal number t th O < t < 1. If Arg(w) denotes the principal argument of anonzero complex number w. then

A) |z ` Ell + |z - 22| = |21 - 22|

C} Z ` 21 Z - z = OZ 2 ` zl 22 ` 21

Bl Arg (z - zl) =Arg (z ~- 22)

D) Arg (z ~- zl) - Arg(22 - Zl)

ANSWER: A

ANSWER: C

ANSWER: D

AJ f _(x) exists for all xe (O . )

B) f '(x) exists for an xe (O ) and f' is continuous on (O.). but notdifferentiable on (O. )

C) dlere exlsts a > 1 such that /f' (x)I o such that If(xJ/+If'(x)/ b for aH x CO )

ANSWER: B and C

40. Let f be a real-valued function defined on the interval (0. ) by

x

f(x) = In x+ "l t dt , Then which of the renewing statement(s) is (are) true ?

C)O

Paragraph for Questions 42 to 44

prime ntmlber and Tp be the foHowing set of 2x2 matrices~ A~ ~ : a,b,c E lo. L 2. ,...p-1}}

p be

odd

42. The number of A in Tp such that A is either symmetric or skew-symmetric orboth. and det (A) dl Bible by p is

A) (p ~- 1)2 8) 2 (p - 1) C) (p - IJ2 + 1 DJ 2p - 1

43. The number of A HI Tp such that the trace of A is not divisible by p but det (A) isdivisible by p is

(Note : The trace of a matrix is the sum of its dl Dual entries.)

A) (p - 1) (p2 - p + 1) B) p3 - (p - 1)2 C) (p - 1)2 D) (p - 1) (p2 - 2)

ANSWER: 3

ANSWER: A

ANSWER: C

2 2X v

circle X2 + y2 - ax = O and hyperbola -- - = I intersect at the points A and B.

w` ^ 9 4 ^

~tion of a coroman ~ ent wl'tll positive slope to the circle as wen as to thehyperbola is

A) 2x-y-20 = O B) 2x-y + 4 = O

44) The number of A in Tp such that det CA) is not divisible by p is

A) 2p2 B) p3 5p C) p3 - 3p D) p3 - p2

ANSWER: D

Paragraph for questions 45 to 46

e45.

46. Equation of the circle with AB as its diameter is

A) x2 + y2 - l2x + 24 = O B) x3 + y2 + l2x + 24 = O

ANSWER: 4