ALL INDIA TEST SERIES

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1 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/5 FIITJEE tudets Frm All Prgrams have agged 3 i Tp, 66 i Tp ad 7 i Tp 5 All Idia Raks. FIITJEE Perfrmace i JEE (Advaced), : 5 FIITJEE tudets frm assrm / Itegrated chl Prgrams & 3579 FIITJEE tudets frm All Prgrams have qualified i JEE (Advaced),. ALL INDIA TET ERIE FIITJEE ANWER, HINT & LUTIN FULL TET V (Paper-) Q. N. PHYI HEMITRY MATHEMATI. A B B B, JEE(Advaced)-5 A A D B B A D A B B A A B A D A, B, A, A, D B, A, D A, B,, D A, A, B, D A, B,, D D B A A B D D A D A A B B FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

2 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/5 Physics PART I ETIN A. mv mv VM m / s m m At maximum extesi th lcks will mve i same directi with V M w use eergy y cservati. M F N F N = Ma N = Ma M N Accelerati f hige = a a N x = F/ a = 5F/M ad = 9F/M. ˆ F a a i ˆ i M N F a N a 3. y y si kxcs t ad 9 L d KA T T equati f heat flw thrugh the x. dt L. 5. Just after cllisi. a v e ucs m v ucs a m a L v u si 6. L cstat 7. Usig M; vcs = u si v si ad e ta ucs ta < ta < / ta 8. Pwer factr = V RM RM cs v u v FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

3 3 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/5 9. p p Fr maxima y fr miima y d d. y y A sit kx A cs t kx t. Vmedium. Isthermal PV cs ta t adiaatic 3-. h ev r PV cstat E mc V f V f ETIN. 3 km/hr. The cetre f mass f system will t mve hriztally. 3. F URel dm dt. I steady state the curret i rach ctaiig capacitr will ecme zer. 5. F qe V B FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

4 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/5 hemistry PART II.. ETIN A 3 3 NH H H N NH H 3H P P Has 3 p - d P d Has 3 P = ds Has 3 tetrahedral uits f P Has 6 P P likages. P P 3. KI KM H KI3 KH M ( f = 6) ( f = 3) Mles f KI 6 = Mles f KI = -3 = milli mle = x N I H HN I H T prduce -3 mles I, 3 Mles f N 6 3 Mles N.6 mles 6. H 3 H H H H3H Tautmerises H 5 6 H H 6 H 5 H H A NH / H H 5 6 H H eatimeric pairs pssile fr (D). D FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

5 5 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/5 5. KN N K Buff clured N KN K N 6 6. Half cell Reacti E L.H.. H H e E. V R.H.. Z e Z Net z H Z H, E.76 V cell H.59 K lg K Z.59 Ecell Ecell lg K.59lg H H.6 M H H a x Ered 3 3. M H.6 6. K 7.3 pk a = H V 7. MeH Me H P 3 Me MeNH Me NHMe NMe 8. hrtest f Lyma series 9. () fr H-atm RH RH B H NaH NaB 3 Na B H H ca e made t prceed frward y addig cis-dil t stailizati y chelati. (3) The sluti turig milky passig H thrugh grup II sluti idicates the presece f xidizig aget where H is xidised t 8.. (A) The heat f frmati fr N is calculated as 5 kj ml -. (B) Fr reacti N N, H 3 kj / mle. i.e. it is exthermic. () N N, H 55 kj / ml (D) N N, H kj / ml, it is exthermic. FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

6 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/5 6. (A) N H-dig ca ccur i chlrezee, s +I effect icreases acidic stregth. (B) Due t th steric ad plar effect has rth effect is served i case f -Me 6 H NH. Me 6 H 5 NH. p-me 6 H NH > -Me 6 H NH > m-me 6 H NH pk a = 5. (pk a =.5) (pk a =.) () N > NH > N pk a = 5.5 pk a =.63 pk a =.3 N (D) NH > (H 3 H ) NH Pyrrlidie (pka =.7) (pka =.98) V. (A) is crrect, sys R, V > V. V ve sys (B) PV = cstat, as is high, slpe is higher. (D) At ilig pit, the prcess is at equilirium G.. x = 6, y = 3, z = luti fr the Q. N. 3 &. 5 I 6H I 3H H 6 H5I6 I 5 6 H 5 H I HI I. 7. V. D. = 8.75 D d.6 d N N At equilirium :.6. PN. P. N. If mles f N escapig ut is x, the fr N it is ( x) x. 6 x.88 x. 9 X.88, X.8 N escapig ut N escapig ut. P N.6 8. KP. P. N.6 K P des t chage. FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

7 7 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/5 ETIN. As As. Ar H r3 5H5N B H llis reaget Ar H N N 3. H H H H H H cplymerisati H H H H H H FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

8 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/5 8 Mathematics PART III ETIN A. If [x 3 + x + x + ] = [x 3 + x + ] + x, the x is iteger lg [x] = [x] has same slutis as lg x = x, x is iteger N itegral sluti. Each elemet has 5 chices, as it may e i ay e f A, A, A 3, A r may t e i ay e The required umer f ways = ( + x) = + x + x... x x 3 x x x x x x x x x Put x =, we get It is give that z = z = cs + i si (let), (, ) Nw, z z gives cs = z z cs, 5 7 5,,,,,,, i.e. 8 values As ct ta = ct ta = ct ct ta ta ct ct 6. Latus rectum, a a Vertex =, Axis = x y = As rigi lies utside the parala Fcus = (, ), Directrix = x + y = FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

9 9 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/5 x y Equati f parala is x y x + y xy x y + = 7. Taget at (, ) will e same (3 + si B)x + ( cs )y = ad cs x + cy = are same cs c 3 si c max = where si = ad = 8. sider g(x) = xf(x) g is ctiuus [, ] ad differetiale (, ) f() = g() = = g() By Rlles Therem g(c) = sme fr c (, ) cf(c) + f(c) = 9. At x =, RHD = 5 + x = 5 + = 6 whereas LHD = 5. Let the crdiates f pit A are (ct, c/t), the slpe f rmal at A will e t. Ad rmal will e parallel t B., t will e c =.. a must e egative ad x a = x shuld have sluti Nw, D < + a < a y=x 3. AB PQR a AB a a a am. lpe f P ad Q will e am ad respectively If PQ = tha ta = a m m a m m a a m m m m Nw, area f sectr PQ f circle x + y = a = a a Area f sectr AB = a a a where = ta a m m a mm FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

10 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/ LM = 9º ad L = M LM = ML = Let AB = 3 LA = ad LB = By sie Rule i AB a + 3 = R si si a + = R si cs = R Let AD = AB = BM = AD = A B L M D BA = AD B = D k k k k We wat t have a = k if k k k k is a iteger, this is equivalet t 8 8 k k k k k k k k Hece, a = = 7. Nw, a =, = 3, c = 5 Let A = umer f umers which are divisile y B = umer f umers which are divisile y 3 = umer f umers which are divisile y 5 Required umer = A + B + A B B A + A B = a =, = 3, c = 5, d = 7 Hece, the give umer is is dd umer therefre the factr will t ccur i divisr. 3 ad 7 are f + 3 frm, dd pwers f 3 ad 7 will e f + 3 frm ad eve pwers will e + frm 5 is + frm ad ay pwer f 5 will e f + frm Numer f divisrs f + type = umer f terms i the prduct ( )( )( + 7 ) + umer f terms i the prduct ( )( )( ) = 8 FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

11 AIT-FT-V-(Paper-) PM(l)-JEE(Advaced)/5 ETIN. As g(x) is iverse f f(x) Dmai f g(x) is rage f f(x) a = 3, =. Required umer f ways = c-efficiet f x 3 i (x + x 3 + x + x 5 + x 6 + x 7 + x 8 ) x x = c-efficiet f x 3 i x = c-efficiet f x i ( x 7 ) 5 ( x) 5 = = 86 A = 8, B =, = 6 A + B = x x 3 = 3 3 x x 3 Fr x [, ] f(x) = f x dx 3 x 3. rthcetre is ft f perpedicular draw frm rigi the plae FIITJEE Ltd., FIITJEE Huse, 9-A, Kalu arai, arvapriya Vihar, New Delhi -6, Ph 66, , Fax 6539

ALL INDIA TEST SERIES

ALL INDIA TEST SERIES Frm Classrm/Integrated Schl Prgrams 7 in Tp, in Tp, 5 in Tp, 6 in Tp 5 ll India Ranks & Students frm Classrm /Integrated Schl Prgrams & 7 Students frm ll Prgrams have been warded a Rank in JEE (dvanced),