SAMPLE PAPER - Patna Best IIT JEE, AIEEE, PMT ... SAMPLE PAPER 5. If a b c 0, then a b b c2 2 ab bc...

2

SAMPLE PAPER

1. If 2 2

2 2

b ab b abx ,b ab b ab

then the value of

2ax 2bx is:(A) b (B) – a(C) a (D) none of these

2. If ABCD is a parallelogram, CS and BS are thebisectors of C and B respectively, then themeasure of S will be:

D

A

S

B

C

(A) 85 (B) 90°(C) 60° (D) 45°

3. If a bicycle wheel has 48 spokes the anglebetween the adjacent pair spokes is :

(A)162

(B)172

(C)173

(D)263

4. If 5 2 /3 x 12 2 2 2 ,

then the

value of x is :

(A)23 (B)

113

(C)143 (D)

153

MATHEMATICS

1. ; fn 2 2

2 2

b ab b abx ,b ab b ab

rks 2ax 2bx dk

eku gksxk%(A) b (B) – a(C) a (D) buesa l s dksbZ ugh

2. ; fn ABCD , d l ekarj prqHkqZt gS] CSvkSj BS Øe' k%C vkSj B ds l ef}Hkkt d gSa] rks S dk eki gksxk

D

A

S

B

C

(A) 85 (B) 90°(C) 60° (D) 45°

3. ; fn , d l kbfdy ds i fj; s esa 48 rkj gks] rks ml ds vkl Uu rkjksads eè; dks.k gksxk%

(A)162

(B)172

(C)173

(D)263

4. ; fn 5 2 /3 x 12 2 2 2 ,

rks x dk eku

gksxk%

(A)23 (B)

113

(C)143 (D)

153

Space for Rough Work

3

SAMPLE PAPER

5. If a b c 0, then

2 2a b b cab bc

+ 2c a

ca

is equal to

(A) 3 (B) 3abc

(C) 3 a b c (D)1 1 13a b c

6. The sides of an 8 8 square are cut by certainpoints into pieces of length 1 and 7, 2 and 6,3and 5 and 4 and 4 as shown in figure. The area ofthe quadrilateral determined by these four pointsare:

712

635

4

4

(A) 28 (B) 36(C) 48 (D) 8

7. The value of k for which x k is a factor of3 2x kx 2x k 4 is :

(A) 5 (B) 2

(C)43

(D)67

5. ; fn a b c 0 rks

2 2a b b cab bc

+ 2c a

ca

dk eku gksxk%

(A) 3 (B) 3abc

(C) 3 a b c (D)1 1 13a b c

6. , d 8 8 Hkqt k okys oxZ dks fp=kkuql kj fuf' pr fcUnqvks l s1 o 7] 2 o 6] 3 o 5 rFkk 4 o 4 yEckbZ; ksa ds VqdM+ks esa dkVkt krk gSA bu pkj fcUnqvks }kjk cus prqHkqZt dk {ks=ki Qy gksxkA

712

635

4

4

(A) 28 (B) 36

(C) 48 (D) 8

7. 'k ' ds fdl eku ds fy; 3 2x kx 2x k 4 dk, d xq.ku[ k.M x k gksxk

(A) 5 (B) 2

(C)43

(D)67


4

SAMPLE PAPER

8. If the mean of x and 1/ x is M, then the mean of2x and 21/ x is -

(A) 2M (B)2M

4(C) 22M 1 (D) 22M 1

9. n 11, 2,3, 4,5, 6,......n 1 consider the se-quence. What is the average of the first 300 termsof the sequence -(A) 1 (B) 0.5(C) 0 (D) 0.5

10. Two circles of radii a and b a b touch eachother externally. ST is a common tangent touch-ing the circles at S and T respectively, then 2STis equal to -

a

ST

b

(A) a b (B) ab(C) 2ab (D) 4ab

11. Let cx Q, y Q , which of the following state-ment is always WRONG ?

(A) cxy Q

(B) y / x Q , whenever defined

(C) 2x y Q

(D) cx / y Q , whenever defined

8. ; fn x rFkk 1/ x dk ekè; M gks rks 2x rFkk 21/ x dkekè; gksxk &

(A) 2M (B)2M

4

(C) 22M 1 (D) 22M 1

9. v uqØe n 11, 2,3, 4,5, 6,......n 1 ds i zFke300 i nks dk vkSl r D; k gksxk &

(A) 1 (B) 0.5(C) 0 (D) 0.5

10. nks oÙk ft udh f=kT; k, sa Øe' k% a,b gS ( t gkW a b ) i jLi jckgkz Li ' kZ djrs gSA bu orksa dh mHk; fu"B t hok ST gS] t ksbUgsa Øe' k S rFkk T fcUnqvksa i j Li ' kZ djrh gS] rks 2STfuEu esa l s fdl ds cjkdcj gksxk &

a

ST

b

(A) a b (B) ab(C) 2ab (D) 4ab

11. ekukfd cx Q, y Q dkSul k dFku l nSo xyr gSa ?

(A) cxy Q

(B) y / x Q , t c Hkh i fjHkkf"kr gS

(C) 2x y Q

(D) cx / y Q , t c Hkh i fjHkkf"kr gS


5

SAMPLE PAPER

12. If the numbers a,b,c,d,e from an A.P. then thevalue of a 4b 6c 4d e is :

(A) 1 (B) 2(C) 0 (D) None of these

13. 1/ q r ;1/ r p ,1/ p q are in A.P., then

(A) p,q,r are in A.P

(B) 2 2 2p ,q , r are in A.P

(C) 1/ p,1/ q,1/ r are in A.P

(D) None

14. If the ratio of sum of n terms of two A.P.’s is 3n 8 ;

7n 15 , then the ratio of th12 terms is

(A) 16 : 7 (B) 7 :16(C) 7 :12 (D) 12 : 5

15. If one root of a quadratic equation with rational

coefficient is 3 5

10 20 40 5 80

then quadratic equation is :

(A) 2x 2x 1 0 (B) 2x 2x 1 0

(C) 2x 2 2 1 0 (D) 2x 2x 3 0

16. The value of 8 2 8 2 8 2 8 ........ is :

(A) 10 (B) 6(C) 8 (D) 4

12. ; fn l a[ ; kW, s a,b,c,d,e l ekUr j Js<+h esa gks r ksa 4b 6c 4d e gS %

(A) 1 (B) 2(C) 0 (D) buesa l s dksbZ ugh

13. 1/ q r ;1/ r p ,1/ p q l a Js esa gks rks %

(A) p,q,r l a Js es gksaxs

(B) 2 2 2p ,q , r l a Js es gksaxs

(C) 1/ p,1/ q,1/ r l a Js es gksaxs

(D) dksbZ ugh

14. ; fn l ekarj Js.kh; ksa ds i nksa ds n ; ksxksa dk vuqi kr 3n 8 ;

7n 15 gks] muds 12osa i nksa dk vuqi kr gksxk A

(A) 16 : 7 (B) 7 :16(C) 7 :12 (D) 12 : 5

15. ; fn i fje; xq.kkadksa okyh f}?kkr l ehdj.k dk , d ewy

3 510 20 40 5 80

gks rks f}?kkr

l ehdj.k gksxh A

A) 2x 2x 1 0 (B) 2x 2x 1 0

(C) 2x 2 2 1 0 (D) 2x 2x 3 0

16. 8 2 8 2 8 2 8 ........ dk eku gS%

(A) 10 (B) 6(C) 8 (D) 4


6

SAMPLE PAPER

17. If but 2 25 3, 5 3 , then the

equation having the roots and

is :

(A) 23x 19x 3 0 (B) 23x 19x 3 0 (C) 23x 19x 3 0

(D) 2x 16x 1 0 18. The three circles in the figure centred at A, B and

C are tangent to one another and have radii 7, 21and 6 respectively The area of the triangle ABC,is

BC

A

(A) 54 (B) 64(C) 74 (D) 84

19. In the diagram ABC is right angled at C. AlsoM, N and P are the mid points of sides BC, ACand AB, respectively. If the area of APN is2 sq. cm, then the area of ABC , in sq. cm is:

N

M

P

B

A

C

(A) 8 (B) 12(C) 16 (D) 4

17. ; fn ysfdu 2 25 3, 5 3 gks] rks

og l ehdj.k Kkr dhft , ft l ds ewy , oa

gksA

(A) 23x 19x 3 0 (B) 23x 19x 3 0 (C) 23x 19x 3 0 (D) 2x 16x 1 0

18. rhu oÙk ft uds dsUnz Øe' k% A, B rFkk C gSa , d nwl js dksLi ' kZ djrs gSA ; fn budh f=kT; k, ¡ Øe' k% 7,21 rFkk 6 gks rks]f=kHkqt ABC dk {ks=ki Qy gksxk A

BC

A

(A) 54 (B) 64(C) 74 (D) 84

19. fn; s x; s fp=k esa ABC , d l edks.k f=kHkqt gSA Hkqt kvksaBC, AC rFkk AB ds eè; fcUnq Øe' k% M, N , oa P gSaA; fn APN dk {ks=ki Qy 2 oxZ l s eh gks rks ABC dk{ks=ki Qy gksxkA (oxZ l seh esa)

N

M

P

B

A

C(A) 8 (B) 12(C) 16 (D) 4


7

SAMPLE PAPER

20. ABC is an isosceles right triangle with area P..The radius of the circle that passes through thepoint A, B and C is

(A) P (B)P2

(C)P

2(D) 2P

21. In this figure, AOB is a quarter circle of radius 10cm and PQRO is a rectangle of perimeter 26cm.The perimeter of the shaded region is:

Q

AO P

R

B

(A) 13 5 (B) 17 5 (C) 7 10 (D) 7 5

22. A sphere is inscribed in a cone of radius . 3 3and slant height 6 3 . The radius of the sphere is

6 3

3 3

(A) 3 (B) 3 3

(C) 6 3 (D)3 3

2

20. ABC , d l ef}ckgq l edks.k f=kHkqt gS ft l ds {ks=ki Qy PgSA fcUnq A, B rFkk C l s xqt jus okys oÙk dh f=kT; k gksxhA

(A) P (B)P2

(C)P

2(D) 2P

21. fn; s x, fp=k esa AOB pkSFkkbZ oÙk gS ft l dh f=kT; k 10 l seh-rFkk PQRO , d vk; r gS ft l dk i fjeki 26 l seh- gSANk; kafdr Hkkx dk i fjeki gksxk %

Q

AO P

R

B

(A) 13 5 (B) 17 5 (C) 7 10 (D) 7 5

22. , d xksyk 3 3 f=kT; k o 6 3 fr jNh mpkbZ okys ' kadq dsvUnj fLFkr gSA xksys dh f=kT; k gksxh%

6 3

3 3

(A) 3 (B) 3 3

(C) 6 3 (D)3 3

2


8

SAMPLE PAPER

23. As shown in the fig. PA and PB are tangents to acircle with centre at ‘O’. If R is the radius of thecircle and L is the length of the tangent then thearea of the PAB is equal to

R

B

AL

PO

(A)3

2 2

LRR L

(B)3

2 2

RLR L

(C)2 2

2 2

R LR L

(D)2

2 2

2RLR L

24. If two chords of lengths 2a each, of a circle ofradius R, intersect each other at right angles thenthe distance of their point of intersection from thecentre of the circle is

(A) 2 22 R a (B) 2 22 R a

(C) 2 24 R a (D) 2 22 R a

25. In right triangle ABC have lengths AB 3 andBC 2 . If C then the value of sin is :

(A)37

(B)47

(C)35

(D)3

7

23. fp=k esa n' kkZ; s vuql kj PA rFkk PB dsUnz 'O' okys oÙk dhLi ' kZ js[ kk, ¡ gSA ; fn oÙk dh f=kT; k R gks rFkk Li ' kZ dh yEckbZL gks rks PAB dk {ks=ki Qy gksxk A

R

B

AL

PO

(A)3

2 2

LRR L

(B)3

2 2

RLR L

(C)2 2

2 2

R LR L

(D)2

2 2

2RLR L

24. ; fn R f=kT; k okys oÙk dh nks cjkcj t hokvksa dh yEckbZ 2agks rFkk os , d nwl js dks l edks.k i j i zfrNsn djrh gSa rks mudsi zfrNsnu fcUnq dh oÙk ds dsUnz l s nqjh gksxh A

A) 2 22 R a (B) 2 22 R a

(C) 2 24 R a (D) 2 22 R a

25. l edks.k f=kHkqt ABC esa AB 3 rFkk BC 2 gSA; fn C gks rks sin dk eku gksxk%

(A)37

(B)47

(C)35

(D)3

7


9

SAMPLE PAPER

26. If tan and sec are the roots of the quadraticequation 2ax bx c 0 , then.

(A) 4 2 2a b b 4ac

(B) 4 2 2b a b 4ac

(C) 4 2 2a b b 4ac

(D) 4 2 2b a b 4ac

27. The value of tan 1 tan 2 and 3 ..... tan 89 is(A) 1 (B) 0

(C) (D)12

28. Both roots of the quadratic equation2x 63x k 0 are prime numbers. The num-

ber of possible values of k is(A) 0 (B) 1(C) 2 (D) 3

29. The diagonals of a rhombus are 12 cm and 24cm.The radius of the circle inscribed in the rhombus, is

(A)12 cm

5

(B)6 cm5

(C) 6 5cm(D) not possible as a circle in a rhombus can not

be inscribed30. If a c2 4 and b a3 9 and a,b,c all positive, then

(A) c a b (B) b c a

(C) c b a (D) a b c

26. ; fn f}?kkr l ehdj.k 2ax bx c 0 ds ewy tan, oa sec gksa rc

(A) 4 2 2a b b 4ac

(B) 4 2 2b a b 4ac

(C) 4 2 2a b b 4ac

(D) 4 2 2b a b 4ac

27. tan 1 tan 2 and 3 ..... tan 89 dk eku gS &(A) 1 (B) 0

(C) (D)12

28. ; fn l ehdj.k 2x 63x k 0 ds nksuksa ewy vHkkT;l a[ ; k, gks rks k ds fdrus eku l EHko gSA(A) 0 (B) 1(C) 2 (D) 3

29. l eprqHkZt ds fod.kZ 12 l seh- rFkk 24 l seh- gSaA l eprqHkZt dsvUr% oÙk dh f=kT; k gksxhA

(A)12

5 l seh-

(B)65 l seh-

(C) 6 5 l seh-(D) l eprqHkZt ds vUnj bl i zdkj dk oÙk cukuk l EHko

ughs gS

30. ; fn a c2 4 rFkk b a3 9 vkSj a,b,c l Hkh / ukRed gSrks %

(A) c a b (B) b c a

(C) c b a (D) a b c


10

SAMPLE PAPER

31. The linear magnification for a mirror is the ratio ofthe size of the image to the size of the object, andis denoted by m. Then m is equal to (symbolshave their usual meanings):

(A)uf

u f (B)uf

u f

(C)f

u f (D) none of these

32. The focal length of a concave mirror is ‘f’ and thedistance from the object to the principal focus is‘p’. The ratio of the size of the image to the size ofthe object is :

(A)fp (B)

2

2

fp

(C)fp (D)

pf

33. A radiation X is focused by a proper device on thebulb of a thermometer mercury in the thermometershows a rapid increase. The radiation X is :

(A) infrared radiation

(B) visible light

(C) ultraviolet radiation

(D) X - rays

31. , d ni Z.k dh js[ kh; vko/ Zu {kerk (m), fdl h oLrq dsi zfrfcEc dh m¡pkbZ rFkk ml oLrq dh m¡pkbZ dk vuqi kr gksrhgS] fuEu esa l s m dk eku gksxk ( t gk¡ l Hkh l adsrksa dk l kEkkU;vFkZ gS)%

(A)uf

u f (B)uf

u f

(C)f

u f (D) buesa l s dksbZ ugha

32. , d voÙky ni Z.k dh i Qksdy nwjh ‘f’ gS] dksbZ oLrq eq[ ;i Qksdl l s ‘p’ nwjh i j j[ kh gS] i zfrfcEc dh m¡pkbZ rFkk oLrqdh m¡pkbZ dk vuqi kr gksxk%

(A)fp (B)

2

2

fp

(C)fp (D)

pf

33. fdl h ; Fkksfpr ; qfDr }kjk fofdj.k X dks rki eki h ds cYc i jdsfUnzr fd; k t kus i j i kjs dk Lrj rst of} i znf' kZr djrk gSAfofdj.k X gks l drk gS%

(A) vojDr fofdj.k

(B) n' ; i zkdk' k

(C) i jkcSaxuh fofdj.k

(D) X - fdj.ksa

SCIENCE


11

SAMPLE PAPER

34. In the spectrum of sun light by a prism, the colourat the extreme end opposite to the base of prism is(A) violet (B) yellow(C) red (D) blue

35. A 1 kg mass has a kinetic energy of 1 joule whenits speed is -

(A) 11ms (B) 14.4ms

(C) 11.4ms (D) 10.45ms

36. When a bulb is connected to 30 V battery, 0.5A cur-rent flows through it. The resistance of the bulb is :(A) 60 (B) 15(C) 150 (D) 30

37. A piece of iron has dimensions 3cm 1.5cm6cm. If its mass is 205.2 gms, its density is :

(A) 35.6gm cm (B) 38.4gm cm

(C) 37.6gm cm (D) 376gm cm

38. Which of the following graphs best represents thetotal energy (T) of a freely falling body and itsheight (h) above the ground ?

(A)h

T (B)h

T

(C)

h

T (D)h

T

34. fi zTe l s i zkIr l w; Z i zdk' k ds Li sDVªe esa fi zTe ds vk/ kj dsl Eeq[ k vk[ kjh Nksj i j fuEu jax gksxk%(A) cSaxuh (B) i hyk(C) yky (D) uhyk

35. 1 kg nzO; eku dh xfrt Åt kZ 1 t wy gksxh] t c bl dh pkygks&

(A) 11ms (B) 14.4ms

(C) 11.4ms (D) 10.45ms

36. t c , d cYc dks 30 oksYV dh cSVjh l s t ksM+rs gsS rks bl esa 0.5, fEi ; j / kjk i zokfgr gksrh gSA cYc dk i zfr jks/ gksxk%

(A) 60 (B) 15(C) 150 (D) 30

37. , d yksgs ds VqdM+s dk vkdkj 3cm 1.5cm 6cm. gSA; fn bl dk nzO; eku 205.2 xzke gS] rks bl dk ?kuRo fdrukgksxk \(A) 5.6 xzke × l seh–3 (B) 8.4 xzke × l seh–3

(C) 7.6 xzke × l seh–3 (D) 76 xzke × l seh–3

38. fuEu esa l s dkSul k xzki Q Lora=k : i l s fxjrh gqbZ oLrq dh dwyÅt kZ (T) o bl dh / jkry l s ÅpkbZ ds eè; oØ i znf' kZrdjrk gS%

(A)h

T (B)h

T

(C)h

T (D)h

T


12

SAMPLE PAPER

39. What is the current in the circuit shown (Figure).

2V

2 22

(A) 1.5A (B) 0.5A(C) 2.5A (D) None of these

40. Specific heat capacity of lead is 1 1120Jkg K

when 7200J of heat is supplied to 5kg of lead,the rise in temperature is:(A) 8 C (B) 10 C(C) 12°C (D) 14°C

41. A convex mirror has a focal length of 10cm. Areal object is placed at a distance of 10cm frompole produces an image at :(A) infinity (B) 20cm(C) 10 cm (D) 5 cm

42. Compute the value of battery current in the circuitshown below :

12V

(A) 6A (B) 8A(C) 3A (D) 10A

39. fuEu i fj i Fk esa / kjk dk eku gksxk%

2V

2 22

(A) 1.5A (B) 0.5A(C) 2.5A (D) buesa l s dksbZ ugha

40. i kjs dh fof' k"V Å"ek 120 t wy@fdyks dSykSjh gS 5 fdxzk- i kjsdks 7200 t wy Å"ek nsus i j rki of¼ gksxh%

(A) 8 C (B) 10 C(C) 12°C (D) 14°C

41. , d mÙky ni Z.k dh i Qksdl nwjh 10 l seh- gSA , d okLrfodfcEc bl l s] 10 l seh- nwjh i j j[ kk gSA i zfrfcEc dh fLFkfr gksxh%(A) v uUr (B) 20 l seh-(C) 10 l seh- (D) 5 l seh-

42. i znf' kZr i fj i Fk essa cSVjh l s i zkzIr / kjk dk eku Kkr dhft ; s%

12V

(A) 6A (B) 8A(C) 3A (D) 10A


13

SAMPLE PAPER

43. In goldleaf electroscope, if a conducting wire isconnected between disc and case as shown, thedivergence of leaves -

charge rod

(A) increases (B) decreases(C) remains same (D) none of the above

44. Two heater wires of same length and material butof different thickness are connected in seriesacross a power supply. Then power dissipated:(A) Will be same in both(B) Will be more in thinner wire(C) Will be more in thicker wire(D) Cannot be predicted

45. Lenz’s law is a consequence of the law of con-servation of :(A) energy (B) momentum(C) angular momentum(D) charge and mass

46. When the current through a solenoid increases ata constant rate, the induced current:(A) is a constant and in the direction of inducing

current(B) is a constant and is opposite to the direction

of inducing current(C) increases with time and is in the direction of

inducing current(D) increases with time and is opposite to the

direction of inducing current

43. Lo.kZi =k bysDVªksLdksi esa ] fp=kkuql kj ; fn , d pkyd rkj l spdrh vksj i k=k dks t ksM+ fn; k t k; s rks i fÙk; ksa ds chp dh nwjh

charge rod

(A) c<+ t k; sxh (B) ?kV t k; sxh(C) v i zHkkfor jgsxh (D) bues l s dksbZ ugh

44. l eku yEckbZ o i nkFkZ rFkk fHkUu eksVkbZ ds nks ghVj ds rkjksa dksJs.khØe ess fdl h ' kfÙk L=kksr ds l kFkk t ksM+k t k; s rks mi Hkksx dhxbZ ' kfDr %(A) nksuksa essa l eku gksxh(B) i rys rkj esa T; knk gksxh(C) eksVs rkj esa T; knk gksxh(D) dqN dgk ugha t k l drk gS

45. ySUt dk fu; e fuEu esa l s fdl ds l aj{k.k ds fu; e dksi zfr i kfnr djrk gS%(A) mt kZ (B) l aosx(C) dks.kh; l aosx (D) vkos' k vkSj nzO; eku

46. t c , d i fjukfydk l s i zokfgr / kjs dks fu; r nj l s c<+k; kt krk gS rks i zsfjr / kjk%(A) fu; r rFkk i zsfjr djus okyh / kjk dh fn' k essa gksxh(B) u; r rFkk i zsfjr djus okyh / kjk dh foi jhr fn' kk esa gksxh(C) l e; ds l kFk c<+sxh rFkk i zsfjr djus okyh / kjk dh fn' kk

esa gksxh(D) l e; ds l kFk c<+sxh rFkk i zsfjr djus okyh / kjk dh

foi jhr fn' kk esa gksxh


14

SAMPLE PAPER

47. In the figure shown a circular current carryingconductor lies in y z plane and its center is at pointO. IF AB and BB are the magnetic field intensi-ties at point A and B respectively then:

I

A Bx

z

y

O

(A) A BB B (B) A BB B

(C) A BB B (D) none of these

48. An electron is moving with velocity 410 m / s in amagnetic field of 5 tesla. The maximum force onelectron is:

(A) 158 10 N (B) 410 N

(C) 191.6 10 N (D) 45 10 N

49. Fission is splitting of the nucleus into two nuclei.The fission products have:(A) the same atomic number(B) the same atomic mass(C) lower atomic number(D) higher atomic mass

47. i znf' kZr fp=k esa , d orkdkj / kjk okgj pkyd y z ry dsvuqfn' k j[ kk gS rFkk bl dk dsUnz fcUnq O i j gSA ; fn AB vkSj

BB Øe' k% fcUnq A vkSj B i j pqEcdh; {ks=k dh rhozrk dksi znf' kZr djrs gS rks%

I

A Bx

z

y

O

(A) A BB B (B) A BB B

(C) A BB B (D) bues l s dksbZ ugha

48. , d bysDVªkWu 5 Vsl yk ds pqEcdh; {ks=k esa 104 eh-@l s- ds osxl s xfreku gS rks bl i j yxus okyk v f/ dre~ cy gksxk%

(A) 158 10 U; wVu (B) 410 U; wVu

(C) 191.6 10 U; wVu (D) 45 10 U; wVu

49. , d ukfHkd dk nks ukfHkdksa esa VwVus dh i zfØ; k fo[ .Mudgykrh gSA fo[ k.Mu mRi kn gksrs gS%(A) l eku i jek.kq l a[ ; k okys(B) l eku i jek.kq Hkkj okys(C) fuEuÙkj i jek.kq l a[ ; k okys(D) mPpÙkj i jek.kq Hkkj okys


15

SAMPLE PAPER

50. When a beta particle is given out, the atomic num-ber of the after reaction atom:(A) Increases by unity(B) Decreases by unity(C) Remains the same(D) is halved

51. A sample of 3CaCO has Ca 40% , C 12%and O = 48%. If the law of constant proportion istrue then the weight of Ca in 16 g of 3CaCO madefrom different processes will be -(A) 64g (B) 0.64 g(C) 6.4g (D) 4.6 g

52. Law of reciprocal proportion is not obeyed by

(A) 2 3 3 2P O ,PH , H O

(B) 3 2 2SO ,SO ,O

(C) 2 2KCl,Cl O,K O

(D) 2 2 2H S,SO ,H O53. Symbol of ferric ion is -

(A) Fe (B) Fe

(C) Fe (D) F

54. Which is the correct order of decreasing reactiv-ity of metals ?(A) K Na Cu Au (B) Na Au Cu K (C) Cu Na K Au (D) Au Cu Na K

50. t c , d chVk d.k mRl ft Zr gksrk gS rks v fHkfØ; k ds ckni jek.kq dh i jek.kq l a[ ; k%(A) , d bdkbZ c<+ t krh gS(B) , d bdkbZ de gks t krh gS(C) i gys ds l eku jgrh gS(D) vk/ h gks t krh gS

51. 3CaCO d s uewus esa Ca 40% , C 12%o O = 48% gSA ; fn fLFkj vuqi kr dk fu; e l R; gS rksfofHkUu rjhds l s cuk; s x; s 16 xzke 3CaCO esa dSfY' k; e dhek=kk gksxh&(A) 64g (B) 0.64 g(C) 6.4g (D) 4.6 g

52. O; qRØe vuqi kr ds fu; e dk fuEufyf[ kr ds }kjk i kyu ughafd; k t krk gSA&

(A) 2 3 3 2P O ,PH , H O

(B) 3 2 2SO ,SO ,O

(C) 2 2KCl,Cl O,K O

(D) 2 2 2H S,SO ,H O53. i QSfjd vk; u dk i zrhd gS&

(A) Fe (B) Fe

(C) Fe (D) F

54. fuEu esa l s dkSul h / krqvksa dh fØ; k' khyrk ds ?kVrs gq, Øedh l gh O; oLFkk gS\(A) K Na Cu Au (B) Na Au Cu K

(C) Cu Na K Au

(D) Au Cu Na K


16

SAMPLE PAPER

55. Which of the following substances is used in re-fining of petroleum ?(A) NaCl (B) NaOH

(C) 2 3Na CO (D) 3NaHCO

56. One mole of any substance contains 236.023 10particles. It was determined by -(A) Berzilius (B) Avogadro(C) Dalton (D) Perin

57. Number of 2Ca and Cl ions in anhydrous 111g1g

2CaCl are :

(A) AN ,2NA (B) A A2N , N

(C) A AN , N (D) None of these

58. Biogas is a mixture of :

(A) 2 4CO H CH

(B) 2CO H

(C) 2 4 2 2CO CH H H S

(D) 2 2CO N

59. Choose the correct option(A) If the final rays are converging, we have a

real image(B) If the incident rays are converging, we have

a real image(C) If the image is virtual, the corresponding

object is called a virtual object(D) The image of a virtual object is called a

virtual image

55. fuEu esa l s fdl i nkFkZ dk i z; ksx i zVªksfy; e ds ' kqf¼dj.k esagksrk gS\(A) NaCl (B) NaOH

(C) 2 3Na CO (D) 3NaHCO

56. fdl h i nkFkZ ds , d eksy esa d.kksa dh l a[ ; k 236.023 10gksrh gS] ; g fu/ kZfjr fd; k Fkk &(A) ct hZfy; l us (B) vkokxknzks us(C) MkYVu us (D) i sfju us

57. Number of 2Ca and Cl ions in anhydrous 111g1g

2CaCl are :

(A) AN ,2NA (B) A A2N , N

(C) A AN , N (D) None of these

58. t So xSl fuEu dk feJ.k gS%

(A) 2 4CO H CH

(B) 2CO H

(C) 2 4 2 2CO CH H H S

(D) 2 2CO N

59. fuEu es l s l gh fodYi pqfu; s%(A) ; fn i fj.keh fdj.ksa v fHkl kfjr gksrh gS rks , d okLrfod

i zfrfcEc feyrk gS(B) ; fn vki frr fdj.ksa vfHkl kfjr gksrh gS rks , d okLrfod

i zfrfcEc feyrk gS(C) ; fn fdl h oLrq dk i zfrfcEc dkYi fud gS rks og

dkYi fud oLrq dgykrh gS(D) dkYi fud oLrq dk i zfrfcEc dkYi fud dgykrk gS


17

SAMPLE PAPER

60. An element belongs to groups 17. Its is present inthird period and its atomic number is 17. What isthe atomic number of the element belonging tosame group and present in fifth period ?(A) 85 (B) 17(C) 35 (D) 53

61. If aufabu rule in not followed, Ca will be placed in........ block and period respectively(A) s,4 (B) d,4(C) d,3 (D) d,5

62. Valency and oxidation number are different for anelement. Valency of carbon is generally 4, however,the oxidation state may be 4, 2,0, 2, 1 . etc.

In which of the following compounds, the valencyof carbon is two ?(A) Carbenes (B) Alkadiyne(C) Alkenes (D) ButenyneEthylene glycol is used in automobile radiators asan antifreeze because it lowers the freezing pointof the coolant. Ethylene glycol has low vapourpressure. We can also use glycerol as antifreeze.In order for boiling point elevation to occur, thesolute must be non - volatile, but no such restric-tion applies to freezing point depression. For ex-ample, methanol 3CH OH a fairly volatile liq-uid that boils only at 65°C is sometimes used asantifreeze in automobile radiators.Answer the following questions:

60. , d rRo oxZ 17 esa gS A bl dk vkoZr ua 3 rFkk i jek.kq Øekad17 gSA ml rRo dk i jek.kq Øekad D; k gksxk t ks i gys rRo dsl eku oxZ esa rFkk i k¡pos vkoZr esa mi fLFkr gSA(A) 85 (B) 17(C) 35 (D) 53

61. ; fn vki QckÅ fu; e ykxw ugha gksrk rc Ca fuEu CykWd rFkkvkoZr esa Øe' k% gksxk &(A) s,4 (B) d,4(C) d,3 (D) d,5

62. l a; kst drk rFkk vkWDl hdj.k uEcj , d rRo ds fy, vyx&vyx gksrs gSA dkcZu dh l a; kst drk l kekU; r% 4 rFkkvkWDl hdj.k l a[ ; k 4, 2,0, 2, 1 vkfn gks l drh gSA

uhps fy[ kh Li h' kht esa l s fdl esa dkcZu dh l a; kst drk 2 gksrhgS&(A) dkchZu (B) , YdkMkbZvkbu(C) , Ydhu (D) C; wVhukbu, Fkhfyu XykbdkWy dk mi ; ksx ' khr i zfr jks/ d ds : i esavkVkseksckby jsfM; sVZl esa fd; k t krk gSA D; ksafd ; g ' khryddk t ekofcanq de dj nsrk gS , Fkhyhu XykbdkWy dk ok"i nkcde gksrk gSA ge fXyl jkWy dk mi ; ksx Hkh ' khri zfrjks/ d ds : iesa dj l drs gSA DoFkukad esa mUu; u ds fy, foys; vok"i ' khygksus pkfg, ysfdu fgekad esa voueu ds fy, , sl h dksbZ ' krZugha gSA mnkgj.k ds fy, esFksukWy , d i w.kZ ok"i ' khy nzo gS ; gdsoy 65°C i j gh mcyrk gS dHkh & dHkh bl dk mi ; ksx Hkh' khr i zfr jks/ d ds : i esa vkVkseksckby jsfM; VZl esa fd; k t krkgSAfups fy[ ks i z' u dk mÙkr nhft , &


18

SAMPLE PAPER

63. 124g each of the two reagents glycol and glyc-erol are added in 5 kg water of the radiators inthe two cars. Which of the following statements iswrong ?(A) both will act as antifreeze(B) glycol will be better(C) glycerol is better because its molar mass isgreater than glycol(D) glycol is more volatile than glycerol

64. The phenomenon in which white transparent crys-tals changes into white powder is called:(A) Deliquescence (B) Efflorescence(C) Allotropy (D) Sublimation

65. A gas 'X' is passed through water to form a satu-rated solution. The aqueous solution on treatementwith the 3AgNO gives a white precipitate. Thesaturated aqueous solution also dissolves magne-sium ribbon with evolution of a colourless gas 'Y'.Identify 'X' and 'Y'.(A) 2 2X CO ,Y Cl

(B) 2 2X Cl ,Y CO

(C) 2 2X Cl ,Y H

(D) 2 2X H ,Y Cl

66. In a reaction vessel 100g 2H and 100 g 2Cl aremixed and suitable conditions are provided forthe following reaction:

?2 2H g Cl g 2HCl g

Select the correct statement (s) for the above reaction(A) presence of light is required for this reaction(B) It is a chain reaction(C) catalyst is required(D) (A) and (B) both

67. What is the degree of ionisation of one litre watercontaining 710 moles H ions ?(A) 71.8 10 % (B) 718 10 %(C) 1.8 × 10–6% (D) 1.8 × 10–5%

68. A hydocarbon isolated from petroleum has amolecular formula of 7 14C H . Which of the fol-lowing statements is necessarily true?(A) The substance is an alkene(B) The substance has a branched chain structure(C) The substance is either an alkene or a

monocylic alkane(D) The substance is a linear chain alkane

63. nks dkjks ds jsfM, VZl esa 5 kg i kuh es XykndkWy rFkk fXyl jkWyi zR; sd ds 124 xzke dks feyk; s t krk gSAfUkEu esa l s dkSul k dFku l gh ugha gS&(A) nksuks ' khr i zfr jks/ d ds : i esa dk; Z djrs gS(B) XykbdkWy T; knk csgrj gSA(C) fXyl jkWy csgrj gS D; ksafd bl dk eksyj nzO; eku XykbdkWy]l s T; knk gSA(D) XykbdkWy] fXyl jkWy l s T; knk ok"i ' khy gSA

64. og ?kVuk ft l esa l i Qsn i kjn' kZd fØLVy l i Qsn i kmMj esai fjofrZr gks t krk gSA dgykrh gS&(A) r jyrk (B) i Qwyuk(C) v i j: i rk (D) mèokZi kru

65. , d xSl X' t y esa l ar Ir foy; u cukus es fy, i zokfgr dht krh gSA t yh; foy; u 3AgNO ds l kFk fØ; k djds l i Qsnvo{ksi nsrk gSA l ar~Ir foy; u eSXuhf' k; e fjcu dks Hkh ?kksyysrk gS rFkk xSl Y fudyrh gSA X rFkk Y gksxh

A) 2 2X CO ,Y Cl

(B) 2 2X Cl ,Y CO

(C) 2 2X Cl ,Y H

(D) 2 2X H ,Y Cl

66. , d v fHkfØ; k i k=k esa 100 xzke H2 rFkk 100 xzke Cl2 dksfeyk; k t krk gSA rFkk fuEu v fHkfØ; k gksus ds fy, mi ; qZDri fjfLFkfr; k¡ nh t krh gSA

?2 2H (g) Cl (g) 2HC(g)

Åi j fy[ kh gqbZ v fHkfØ; k ds fy, l gh dFku gSµ(A) bl v fHkfØ; k ds fy, i zdk' k dh t : jr gS(B) ; g , d Üka[ kyk v fHkfØ; k gSA(C) bl esa mRi zsjd dh vko' ; drk gSA(D) (A) rFkk (B) nksuksa

67. , d yhVj i kuh ft l esa H+ vk; u 10–7 eksy gS bl esa vk; uudh ek=kk D; k gksxh\(A) 1.8 × 10–7% (B) 18 × 10–7%(C) 1.8 × 10–6% (D) 1.8 × 10–5%

68. , d gkbMªksdkcZu t ks fd i sVªksfy; e l s fudkyk x; k gS bl dkv .kql w=k C7H14 bl ds fy, fuEu esa l s dkSu&l k dFku vko' ; d: i l s l gh gS(A) i nkFkZ , d , Ydhu gS(B) i nkFkZ dh l ajpuk ' kkf[ ky gS(C) i nkFkZ ; k rks , Ydhu gS ; k , d pØh; , Ydsu gS(D) i nkFkZ dh l ajpuk js[ kh; , sYdsu gS

19

SAMPLE PAPER

69. The IUPAC name of the following compound is2 5 3 3

3 2 2 2 2 2 3

3 3

3

C H CH CH| ||

CH CH CH C CH CH CH CH CH CH|

CH C CH|

CH

(A) 4 - (2 - methyl propyl) - 3 - ethyl - 4,7- dimethyl decane

(B) 4 - (1,1 - Dimethyl ethyl) -3 - ethyl -4,7- dimethyl decane

(C) 7 - (2 - methyl propyl) - 8- ethyl - 4,7 - dimethyl decane

(D) None of these70. Leaves respire with the help of

(A) lenticles (B) stomata(C) plasmodesmata (D) cuticle

71. Why are honeybees so important ?(A) They are excellent pollinators(B) They show a high degree of social life(C) They have a stinger(D) They produce bee wax

72. In the process of budding, when bud forms out-side it is called as(A) exogenous budding(B) endogenous budding(C) uncertain budding(D) none of these

73. The wavelength of light used in photosynthesis ?(A) 300 - 400 nm (B) 390 - 780 nm(C) 800 - 1000 nm (D) all of the above

74. Term 'Hormone' was coined by(A) Karl landsteiner(B) Bayliss and starling(C) Louis Pasteur (D) F.W. Went

75. Which of the following is an excretory organ ofcockroach(A) Liver (B) Nephron(C) Flame cell (D) Malpighian tubules

76. Nucleic acid is fragmented by which enzyme -(A) Ligases (B) Proteases(C) Nucleases (D) Polymerases

77. Which non - toxic, fast growing cyanobacterium iscultivated in tanks as a protein - rich animal food ?(A) Scytonema (B) Spirulina(C) Nostoc (D) Oscillatoria

78. Which one of the following does not produce anydigestive enzyme?(A) Pancreas (B) Liver(C) Salivary gland (D) Gastric gland

79. The gland which is exocrine and endocrine(A) Adrenal (B) Pituitary(C) Pancreas (D) Liver

69. fuEu ; kSfxd dk IUPAC uke gksxk2 5 3 3

3 2 2 2 2 2 3

3 3

3

C H CH CH| ||

CH CH CH C CH CH CH CH CH CH|

CH C CH|

CH

(A) 4 – (2 – esfFky i zksfi y) – 3 – , fFky – 4,7 – MkbZesfFky Msdsu

(B) 4 – (1,1 – MkbZesfFky , fFky) – 3 – , fFky – 4,7 – MkbZesfFky Msdsu

(C) 7 – (2 – esfFkyy i zksfi y) – 8 – , fFky – 4,7 – , fFky

(D) buesa l s dksbZ ugha70. i fÙk; ksa esa ' ol u gksrk gSµ

(A) okrjaèkzksa l s (B) jaèkzksa l s(C) Iykt +eksMsLesVk l s (D) D; wfVdy l s

71. fe/ qeD[ kh mi ; ksxh gS] D; ksafd(A) i kSfyusVj gSA(B) ; s cgqr gh l ekt hd t ho gSA(C) muesa fLVx gksrs gSA(D) ; s oSDl i znku djrs gSA

72. eqdqyu dh og i zfØ; k ft l esa ckâ; dfydk fufeZr gksrh gSD; k dgykrh gS(A) ckà; eqdqyu(B) vkarfjd eqdqyu(C) v fuf' pr eqdqyu(D) mi jksDr esa l s dksbZ ugha

73. i zdk' k l a' ys"k.k esa dke vkus okyh i zdk' k r jax nSè; Z gSA(A) 300 – 400 nm (B) 390 – 780 nm(C) 800 – 1000 nm(D) mi jksDr l Hkh

74. i n gkeksZu fdl us fn; k Fkk\(A) dkyZ ySaMLVhuj (B) ck; fyl o LVjfyax(C) yqbZl i k' pj (D) F.W. osUV

75. dkWdjksp esa i k; k t kus okyk mRl t Zu vax dkSul k gS&(A) ; dr (B) usi zQksu(C) Tokys dksf' kdk (D) eSYi h?kh ufydk, sa

76. fuEufyf[ kr esa l s dkSul k , Ut kbe U; wfDyd vEy dks VqdM+ksesa rksM+rk gS\(A) ykbxst (B) i zksfV, t(C) U; wfDy, t (D) i kWyhejst

77. t arqvksa ds fy, i zksVhu ds L=kksr ds : i esa VSadks es mxk; k t kus okykrhoz of¼ djus okyk gkfu jfgr l k; ukscSDVhfj; k dkSul k gS\(A) l k; Vksfuek (B) Li kb: fyuk(C) uksLVksd (D) vksfl ysVksfj; k

78. fuEufyf[ kr esa l s fdl ds }kjk fdl h Hkh i kpd , Ut kbe dkL=kko.k ugha gksrk gS\(A) vXuk' k; (B) ; dr(C) ykj xzfUFk (D) t Bj xzfUFk

79. fuEufyf[ kr esa l s dkSul h var%L=kkoh rFkk ckg~; L=kkoh nksuksi zdkj dh xzafFk gS&(A) , Mªhuy (B) i h; w"k(C) vXuk' k; (D) ; dr

20

SAMPLE PAPER

80. How many mitotic divisions should occur for asingle cell to form 256 cells ?(A) 8 (B) 16 (C) 32 (D) 64

81. Lichens indicate 2SO pollution because they(A) Show association between algae and fungi(B) grow faster than others(C) are sensitive to 2SO(D) flourish in 2SO rich environment

82. If the surface area for gaseous exchange in lungsis reduced due to excessive smoking, this condi-tion is called as(A) emphysema (B) tuberculosis(C) asthma (D) pneumonia

83. Which of the following statement is correct ?(A) Arteries supply blood to tissues(B) Veins supply blood to tissues(C) Arteries collect blood from tissues(D) None of the above

84. Loss of water from the tips of leaves in the formof water droplets is called -(A) guttation (B) transpiration(C) respiration (D) bleeding

85. Which muscle cell is spindle shaped ?(A) Smooth muscle cell(B) Striated muscle cell(C) Cardiac muscle cell(D) None of these are correct

86. RNA is absent is -(A) plasmalemma (B) cytoplasm(C) ribosomes (D) nucleolus

87. Caryopsis is(A) Fruit (B) Seed(C) Stem (D) Root

88. Match the disease with causative agent and markthe correct statement.(i) Rabies (1) Bacteria(ii) Malaria (2) Fungus(iii) Ring worm (3) Virus(vi) Tuberculosis (4) Plasmodium(A) i 1, ii 2,iii 3,iv 4 (B) i 3,ii 4,iii 2, iv 1 (C) i 2,ii 3,iii 4, iv 1 (D) i 4,ii 2, iii 1,iv 3

89. During a microscopic examination, presence ofNissl’s granule in a cell; help us identify that cell as a(A) nerve cell (B) muscle cell(C) blood cell (D) epithelial cell

80. , d ekr dksf' kdk l s 256 i q=kh dksf' kdkvksa ds fuekZ.k ds fy,fdrus l el w=kh foHkkt u vko' ; d gSa\(A) 8 (B) 16 (C) 32 (D) 64

81. ykbdsu 2SO i znw"k.k i znf' kZr djrh gSa D; ksafd &(A) os dod o ' kSoky ds eè; l a; kst u i znf' kZr djrs gSaA(B) vU; l s v f/ d rhozrk l s of¼ djrs gSA(C) 2SO ds i zfr l aosnh gksrs gSaA(D) 2SO vkf/ D; okys okrkoj.k esa of¼ djrs gSaA

82. vR; f/ d / wezi ku ds dkj.k ok; q dks"kksa dh nhokjksa dk {k; rFkki Qsi QM+ksa dh xSl h; vknku & i znku dh {kerk dk de gksuk D; kdgykrk gS\(A) , Ei Qkbl hek (B) {k; jksx(C) nek (D) fueksfu; k

83. fuEufyf[ kr esa l s dkSul k dFku l gh gSA(A) / efu; ka mÙkdksa dks jDr nsrh gSA(B) f' kjk, ¡ mÙkdksa dks jDr nsrh gSA(C) / efu; ka mÙkdksa l s jDr , df=kr djrh gSA(D) mi jksDr esa l s dksbZ ugh

84. i fÙk; ksa ds fdukjksa l s cwanksa ds : i esa t y dh gkfu dgykrh gS&(A) fcanqL=kko (B) ok"i ksRl t Zu(C) ' ol u (D) jDrL=kko

85. fuEu esa l s dkSul h i s' kh rdqZ vkdkj dh gksrh gSA(A) fpduh i s' kh(B) jsf[ kr i s' kh(C) Én; i s' kh(D) fuEu esa l s dksbZ ugha

86. RNA fdl esa vuqi fLFkr gksrk gS\(A) IykTek f>Yyh esa (B) dksf' kdk nzO; esa a(C) jkbcksl kse esa (D) dsfUnzdk esa

87. dsfj; ksfIl l gS&(A) i Qy (B) cht(C) ruk (D) t M+

88. jksx o jksxdkjd dk feyku dhft , , oa l gh fodYi dksfpfUg~r djsa%(i) jscht (1) t hok.kq(ii) eysfj; k (2) dod(iii) fjax okWeZ (3) dod(vi) Vh- ch- (4) IykTeksfM; e(A) i 1, ii 2,iii 3,iv 4 (B) i 3,ii 4,iii 2, iv 1 (C) i 2,ii 3,iii 4, iv 1 (D) i 4,ii 2, iii 1,iv 3

90. BOD is a measure of :(A) Amount of oxygen needed by green plants

during night.(B) Amount of carbon dioxide combined with

heamoglobin.(C) Industrial wastes poured into water bodies.(D) Extent to which water is polluted with or

ganic compounds.

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