19
CODE : A PAGE NO. # 1 Q.1 The sum of all the values of y, for the real ordered pair solutions (x, y) of the system of equations 1 y x 4 xy 2 8 4 and y = x + 1, is (A) 5 (B) 6 (C) 7 (D) 8 Q.2 If sin and cos are the roots of the quadratic equation ax 2 + bx + c = 0, then (A) b 2 = a 2 + 2ac (B) a 2 = b 2 + 2ab (C) b 2 = a 2 + 2ab (D) a 2 = b 2 + 2ac Q.3 Let x 4 = y 4 + 24, x 2 + y 2 = 6 and x + y = 3. The value of (x y), is (A) 3 2 (B) 3 4 (C) 3 8 (D) None Q.4 Let a, b and c are unequal positive real numbers such that 2b = a + c, then the roots of ax 2 + 2bx + c = 0 are (A) Real and equal (B) Real and distinct (C) Imaginary (D) Nothing definite can be said. Q.5 When the expresssions x 5 , x 1 x and 3 x 3 x 2 1 are multiplied, the product is a polynomial of degree (A) 2 (B) 3 (C) 6 (D) 7 Q.6 The expression 5 3 2 6 2 when simplified, reduces to (A) 5 3 2 (B) 3 2 4 (C) 5 6 3 2 (D) 3 5 2 2 1 BULL'S EYE (10 th Pass) 2010 Select the correct alternative. Only one is correct. [902 = 180] There is NEGATIVE marking. For each wrong answer 0.5 mark will be deducted. Q.1 y ds lHkh lEHkkfor gy (x, y) dk ;ks x crkvks a tks fd lehdj.kks ds fudk; 1 y x 4 xy 2 8 4 rFkk y = x + 1, dks la rq"V djrk gS& (A) 5 (B) 6 (C) 7 (D) 8 Q.2 ;fn f}?kkrh; lehdj.k ax 2 + bx + c = 0 ds ew y sin rFkk cos gS] rks & (A) b 2 = a 2 + 2ac (B) a 2 = b 2 + 2ab (C) b 2 = a 2 + 2ab (D) a 2 = b 2 + 2ac Q.3 ;fn x 4 = y 4 + 24, x 2 + y 2 = 6 rFkk x + y = 3 gS] rks (x y) dk eku gks xk& (A) 3 2 (B) 3 4 (C) 3 8 (D) dks bZ ugha Q.4 ;fn a, b rFkk c vleku /kukRed okLrfod la [;k,s bl izdkj ls gS fd 2b = a + c rks lehdj.k ax 2 + 2bx + c = 0 ds ew y& (A) okLrfod ,oa leku (B) okLrfor ,oa fHkUu (C) dkYifud (D) dqN fuf’pr ugh dgk tk ldrk Q.5 tc O;a td x 5 , x 1 x rFkk 3 x 3 x 2 1 dks xq.kk fd;k tkrk gS rks cgqinh; Qyu fdrus ?kkr dk gks xk& (A) 2 (B) 3 (C) 6 (D) 7 Q.6 O;a td 5 3 2 6 2 ljy djus ij fo?kfVr gks xk& (A) 5 3 2 (B) 3 2 4 (C) 5 6 3 2 (D) 3 5 2 2 1

Bansal Bulls Eye Test Paper

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Page 1: Bansal Bulls Eye Test Paper

CODE : A PAGE NO. # 1

Q.1 The sum of all the values of y, for the realordered pair solutions (x, y) of the system ofequations

1yx4xy 284

and y = x + 1, is

(A) 5 (B) 6 (C) 7 (D) 8

Q.2 If sin and cos are the roots of the quadraticequation ax2 + bx + c = 0, then(A) b2 = a2 + 2ac (B) a2 = b2 + 2ab(C) b2 = a2 + 2ab (D) a2 = b2 + 2ac

Q.3 Let x4 = y4 + 24, x2 + y2 = 6 and x + y = 3.The value of (x � y), is

(A) 3

2(B)

3

4

(C) 3

8(D) None

Q.4 Let a, b and c are unequal positive real numberssuch that 2b = a + c, then the roots ofax2 + 2bx + c = 0 are(A) Real and equal(B) Real and distinct(C) Imaginary(D) Nothing definite can be said.

Q.5 When the expresssions x5, x

1x and

3x

3

x

21 are multiplied, the product is a

polynomial of degree(A) 2 (B) 3 (C) 6 (D) 7

Q.6 The expression 532

62

when

simplified, reduces to

(A) 532

(B) 324

(C) 5632

(D) 3522

1

BULL'S EYE (10th Pass) 2010Select the correct alternative. Only one is correct. [90×2 = 180]

There is NEGATIVE marking. For each wrong answer 0.5 mark will be deducted.

Q.1 y ds lHkh lEHkkfor gy (x, y) dk ;ksx crkvksa tks fd

lehdj.kks ds fudk; 1yx4xy 284

rFkk

y = x + 1, dks larq"V djrk gS&

(A) 5 (B) 6 (C) 7 (D) 8

Q.2 ;fn f}?kkrh; lehdj.k ax2 + bx + c = 0 ds ewy

sin rFkk cos gS] rks&(A) b2 = a2 + 2ac (B) a2 = b2 + 2ab(C) b2 = a2 + 2ab (D) a2 = b2 + 2ac

Q.3 ;fn x4 = y4 + 24, x2 + y2 = 6 rFkk x + y = 3 gS]rks (x � y) dk eku gksxk&

(A) 3

2(B)

3

4

(C) 3

8(D) dksbZ ugha

Q.4 ;fn a, b rFkk c vleku /kukRed okLrfod la[;k,s

bl izdkj ls gS fd 2b = a + c rks lehdj.k

ax2 + 2bx + c = 0 ds ewy&

(A) okLrfod ,oa leku

(B) okLrfor ,oa fHkUu(C) dkYifud

(D) dqN fuf'pr ugh dgk tk ldrk

Q.5 tc O;atd x5, x

1x rFkk 3x

3

x

21 dks xq.kk

fd;k tkrk gS rks cgqinh; Qyu fdrus ?kkr dk

gksxk&

(A) 2 (B) 3 (C) 6 (D) 7

Q.6 O;atd

532

62

ljy djus ij fo?kfVr

gksxk&

(A) 532

(B) 324

(C) 5632

(D) 3522

1

Page 2: Bansal Bulls Eye Test Paper

PAGE NO. # 2 CODE : A

Q.7 The measure of the central angle (in radians)that cuts from a given circle both an arc of lengthof 14 metres and a corresponding sector of

area 168 m2, is

(A) 12

7(B)

7

12

(C) 5

14(D)

14

5

Q.8 Country A has c% of the world's population andowns d% of the world's wealth. Country B hase% of the word's population and f% of itswealth. Assume that the citizens of A share thewealth of A equally, and assume that those of Bshare the wealth of B equally. The ratio of thewealth of a citizen A to the wealth of a citizen B,is equal to

(A) ef

cd(B)

df

ce

(C) de

cf(D)

cf

de

Q.9 In the diagram shown, AB and AC are the equalsides of an isosceles triangle ABC. Theequilateral triangle DEF is inscribed. If angleADF be , angle BED be and angle CFE be, then then correct relation is

(A) 2

(B) 2

(C) 2

(D) 2

Q.10 If a > 0, the value of the expression

20103

aa a3

aloglog

, equals

(A) 0 (B) 1(C) a (D) loga3

Q.7 ,d o`Ùk ls ,d [k.M (sector) dkVdj vyx fd;k

t kr k gS ft l d s pki d h y EckbZ 14 rFkk [k.M dk

{ks=Qy 168 m2 rks ml [k.M dk o`Ùk ds dsUnz ij

varfjr dks.k fdruk gksxkA

(A) 12

7(B)

7

12

(C) 5

14(D)

14

5

Q.8 ,d ns'k A dh dqy tula[;k rFkk /ku fo'o dh dqy

tual[;k rFkk /ku dk c% ,oa d% gS bl izdkj ns'k

B dh dqy tula[;k rFkk /ku fo'o dh dqy tula[;k

rFkk /ku dk e% ,oa f% gS ekuk fd A rFkk B ns'k ds

fuoklh vius vius ns'k ds /ku ds cjkcj&cjkcj

fgLlk bLrseky djs rks ns'k A ds fdl O;fDr dk /ku

rFkk ns'k B ds fdlh O;fDr ds /ku dk vuqikr gksxkA

(A) ef

cd(B)

df

ce

(C) de

cf(D)

cf

de

Q.9 f=Hkqt ABC ,d lef}ckgq f=Hkqt gS tgk¡ AB = AC,d leckgq f=Hkqt DEF fp=kuqlkj f=Hkqt ABC ds

Hkhrj [khapk tkrk gS rks , , esa lEcU/k crkvksaA

(A) 2

(B) 2

(C) 2

(D) 2

Q.10 ;fn a > 0 rks O;atd

20103

aa a3

aloglog

dk

eku gksxk&

(A) 0 (B) 1(C) a (D) loga3

Page 3: Bansal Bulls Eye Test Paper

CODE : A PAGE NO. # 3

Q.11 The roots of the equation 5x2x2 21

can be found by solving the quadratic equation(A) 16x2 � 92x + 1 = 0

(B) 4x2 � 25x + 4 = 0

(C) 4x2 � 17x + 4 = 0

(D) 2x2 � 21x + 2 = 0

Q.12 The radius of a circle circumscribed about atriangle with sides of length 15, 36 and 39, is(A) 15 (B) 18(C) 19.5 (D) 37.5

Q.13 Each side of triangle ABC is 20 units. D is thefoot of the perpendicular dropped from A onBC, and E is the midpoint of AD. The length ofBE, in the same units, is(A) 10

(B) 65

(C) 75(D) 5

Q.14 A side of one equilateral triangle is congruent toan altitude of another equilateral triangle. Theratio of the areas of the triangles, is

(A) 4

3(B)

4

3

(C) 3

2(D)

2

3

Q.15 If sin x = cos2x, then cos2x(1 + cos2x) is alwaysequal to(A) 1 (B) 2

(C) 2

1(D)

2

1

Q.16 If the height of a cylinder is increased by 9

1,

and the radius of the cylinder is decreased by

10

1, then new volume of the cylinder, is

(A) same as the volume of the original cylinder

(B) increases by 10

1

(C) decreases by 9

1(D) decreases by

10

1

Q.11 lehdj.k 5x2x2 21

ds ewy buesa ls fdl

f}?kkrh; lehdj.k ds gy ds cjkcj gksxk&

(A) 16x2 � 92x + 1 = 0

(B) 4x2 � 25x + 4 = 0

(C) 4x2 � 17x + 4 = 0

(D) 2x2 � 21x + 2 = 0

Q.12 Hkqtkvksa 15, 36 rFkk 39 okys oÙk dh ifjf=T;k gksxh&

(A) 15 (B) 18(C) 19.5 (D) 37.5

Q.13 ABC ,d leckgq f=Hkqt gS ftldh izR;sd Hkqtk 20gS A ls BC ij yEc AD Mkyk x;k rFkk AD dk e/

; fcUnq E gS rks BE dh yEckbZ gksxh&

(A) 10

(B) 65

(C) 75(D) 5

Q.14 ,d leckgq f=Hkqt dh Hkqtk ,d nwljh leckgq f=Hkqt

dh ÅWpkbZ (altitude) ds cjkcj gS] rks nksuksa f=Hkqt ds

{ks=Qy dk vuqikr gksxkA

(A) 4

3(B)

4

3

(C) 3

2(D)

2

3

Q.15 ;fn sin x = cos2x, rks cos2x(1 + cos2x) dk eku

gksxk&

(A) 1 (B) 2

(C) 2

1(D)

2

1

Q.16 ,d csyu dh ÅWpkbZ dks 9

1 xquk c<+k fn;k tk; rFkk

f=T;k dks 10

1 xquk ?kVk fn;k tk; rks csyu dk

vk;ru gksxk&

(A) iqjkus csyu ds cjkcj

(B) 10

1xquk c<+sxk

(C) 9

1xquk ?kVsxk (D)

10

1xquk ?kVsxk

Page 4: Bansal Bulls Eye Test Paper

PAGE NO. # 4 CODE : A

Q.17 In the figure TREND is regular pentagon.PEA is a regular triangle and OPEN is a square.The size of the angle EAR, is(A) 39

(B) 53

AP

ER

T

D

N

O

(C) 49(D) 37

Q.18 If the roots of the equation (x � a)(x � b) = f

are c and d, then the roots of the equation(x � c) (x � d) + f = 0 are

(A) a and b (B) f

b,

f

a

(C) b

f,

a

f(D)

f

d,

f

c

Q.19 Let D be any point on the base of an isoscelestriangle ABC. Extend AC to E so thatCD = CE. Extend ED to meet AB at F. If angleCED is 10 degrees, then the angle AFD indegree, is(A) 20(B) 30(C) 40 (D) 45

Q.20 The value of the product P = tan 5° tan 15° tan

25° tan35° tan 45° tan 55° tan 65° tan 75° tan

85° reduces to

(A) an irrational(B) a rational which is not an integer.(C) either a prime or a composite(D) neither a prime nor a composite.

Q.21 Number of natural solution(s) of the equation

110x15x4)1x5x4(2

2

, is(A) 1 (B) 2 (C) 3 (D) 4

Q.22 The remainder when the polynomialP(x) = 13x10 � 6x7 + 12x3 � 3x � 5 is divided

by (x + 1) is equal to(A) 3 (B) 5 (C) 7 (D) 9

Q.17 fn[kk,s x;s fp= esa TREND ,d leiapHkqt gS tgk¡

PEA ,d leckgq f=Hkqt rFkk OPEN ,d oxZ gS rks

dks.k EAR dk eku gksxk&

(A) 39

(B) 53

AP

ER

T

D

N

O

(C) 49(D) 37

Q.18 ;fn lehdj.k (x � a)(x � b) = f ds ewy c rFkk d gS]rks lehdj.k (x � c) (x � d) + f = 0 dk ewy gksxk&

(A) a rFkk b (B) f

b,

f

a

(C) b

f,

a

f(D)

f

d,

f

c

Q.19 lef}ckgq f=Hkqt ABC ds vk/kkj BC ij D ,d fcUnq

gSA AC dks E rd bl izdkj ls c<+k;k tkrk gS fd

CD = CE. ED dks c<+k;k tkrk gS fd og AB dks Fij feyrh gS rks ;fn CED =10º rks AFD dk

eku gksxk&

(A) 20(B) 30(C) 40 (D) 45

Q.20 P = tan 5° tan 15° tan 25° tan35° tan 45° tan

55° tan 65° tan 75° tan 85° ljy djus ij fo?kfVr

gksxk&

(A) ,d vifjes; la[;k esa

(B) ,d ifjes; la[;k tks fd iw.kkZad gS

(C) ;k rks vHkkT; ;k fefJr la[;k

(D) u rks vHkkT; u gh fefJr la[;k

Q.21 lehdj.k 110x15x4)1x5x4(2

2

ds dqy

gy dh ala[;k] tks fd izkd`frd la[;k gS] gksxh&

(A) 1 (B) 2 (C) 3 (D) 4

Q.22 ;fn cgqinh; Qyu P(x) = 13x10 � 6x7 + 12x3 �3x � 5 dks (x + 1) ls Hkkx fn;k tk; rks 'ks"kQy

gksxk&

(A) 3 (B) 5 (C) 7 (D) 9

Page 5: Bansal Bulls Eye Test Paper

CODE : A PAGE NO. # 5

Q.23 The quadrilateral pictured (not necessarily drawnto scale) contains one right angle, two acuteangles, and one obtuse angle. The area, in squareunits, of the given shape, is

(A) 3014

(B) 30 + 51025

712

14(C) 8281

2

130

(D) 131430

Q.24 If the roots of x2 � ax + b = 0 differ by unit,

then(A) b2 = 1 + 4a (B) a2 = 1 + 4b(C) b2 + 4a = 1 (D) a2 + 4b = 1

Q.25 There exists some positive real number, M suchthat if you add five M's together, you get thesame result as if you were to multiply five M'stogether. Which of the following is true aboutM?I. M15 is rationalII. M12 is rationalIII. M30 is rational(A) I only (B) II only(C) III only (D) II and III

Q.26 Considering the positive root everywhere, theexpression

841755597336237

simplifies to(A) an irrational(B) a rational which is not natural(C) a composite(D) a prime

Q.27 If a and b are two real numbers which satisfythe relation a + b � ab = 1 and a is not an

integer, then b(A) is never an integer(B) must be some positive integer(C) must be some negative integer(D) may either be an integer or a non-integer

Q.23 fn[kk;s x;s fp=kuqlkj ,d prqHkZqt esa ,d ledks.k] 2U;wudks.k rFkk ,d vf/kd dks.k gS rks prqHkqZt dk

{ks=Qy gksxk&

(A) 3014

(B) 30 + 51025

712

14(C) 8281

2

130

(D) 131430

Q.24 ;fn lehdj.k x2 � ax + b = 0 ds ewyks ds chp dk

vUrj 1 gS] rks&(A) b2 = 1 + 4a (B) a2 = 1 + 4b(C) b2 + 4a = 1 (D) a2 + 4b = 1

Q.25 dqN /kukRed okLrfod la[;k M ,slh Hkh gS fd ;fn

ge 5 ckj M ds tksM+s rks ogh gy izkIr gksx tks 5 ckjM dks xq.kk djus ij izkIr gksrk rks M ds ckjs esa

dkSulk fodYi lR; gS \

I. M15 ,d ifjes; la[;k gS

II. M12 ,d ifjes; la[;k gS

III. M30 ,d ifjes; la[;k gS

(A) dsoy I (B) dsoy II(C) dsoy III (D) II rFkk III

Q.26 ;fn dsoy /kukRed ewy ij gh fopkj fd;k tk;s rks

O;atd

841755597336237 ljy

djus ij fo?kfVr gksxk&

(A) ,d vifjes; esa

(B) ,d ifjes; la[;k esa tks fd izkd`frd ugh gS

(C) ,d fefJr la[;k

(D) vHkkT; la[;k esa

Q.27 ;fn a, b R rFkk a + b � ab = 1 gS tgk¡ a ,diw.kkZad ugh gS rks b gksxk&(A) ,d iw.kkZad dHkh ugha

(B) vo'; gh ,d /kukRed iw.kkZad

(C) vo'; gh ,d _.kkRed iw.kkZad

(D) iw.kkZad gks Hkh ldrk gS vkSj ugh Hkh

Page 6: Bansal Bulls Eye Test Paper

PAGE NO. # 6 CODE : A

Q.28 In the figure, each segment is 1 cm and eachangle is a right angle. The area inside the figure(in cm2) equals(A) 20(B) 22(C) 32(D) 40

Q.29 Let a and b be two different real numbers.The equation (x � a) (x � b � 1) + (x � a) (x � b

+ 1) = 0(A) has three roots, one of which is x = b(B) has three roots, one of which is x = a(C) has three roots, one of which is x = b + 1(D) has two roots, one of which is x = b

Q.30 In the diagram, ABC is right-angled. Side ABis extended in each direction to point D and Gsuch that DA = AB = BG. Similarly, BC isextended to points F and K so that FB = BC =CK, and AC is extended to points E and H sothat EA = AC = CH. The ratio of the area of thehexagon DEFGHK to the area of ABC is

F

G H

E D

B

A

C K

(A) 4 : 1 (B) 6 : 1(C) 9 : 1 (D) 13 : 1

Q.31 In the figure, AC is 39 units, AD is x units, DB is9 units, DE is 13 units, BE is x units andBDE = BCA. The value of x is(A) 2.5(B) 3(C) 4 (D) 4.5

Q.32 Let be an acute angle such thatsec2 + tan2 = 2. The value of cosec2 + cot2,is(A) 5 (B) 4 (C) 3 (D) 9

Q.28 fn[kk;s x;s fp=kuqlkj izR;sd [k.M dh yEckbZ 1 cmrFkk izR;sd dks.k 90º rks oØ ds Hkhrj dk {ks=Qy

gksxk&

(A) 20(B) 22(C) 32(D) 40

Q.29 ;fn a ,oa b nks okLrfod ,oa fHkUu la[;k,sa gS rks

lehdj.k (x � a) (x � b � 1) + (x � a) (x � b + 1)

= 0 dk&

(A) rhu ewy gksxk ftlesa ,d ewy x = b gS(B) rhu ewy gksxk ftlesa ,d ewy x = a gS(C) rhu ewy gksxk ftlesa ,d ewy x = b + 1 gS(D) nks ewy gksxk ftlesa ,d ewy x = b gS

Q.30 fn[kk;s x;s fp=kuqlkj ABC ,d ledks.kh; f=Hkqt

gSA Hkqtk AB dks nksuksa D ,oa G rd rjQ bl izdkj

ls c<+k;k x;k gS fd DA = AB = BG. blh izdkj

BC ds nksuksa rjQ F ,oa K rd bl izdkj ls c<+k;k

x;k gS fd FB = BC = CK rFkk AC dks E ,oa Hij bl izdkj ls c<+k;k x;k gS fd EA = AC = CHrks "kVHkqt DEFGHK rFkk ABC ds {ks=Qy dk

vuqikr gksxkA

F

G H

E D

B

A

C K

(A) 4 : 1 (B) 6 : 1(C) 9 : 1 (D) 13 : 1

Q.31 fn[kk;s x;s fp= esa Hkqtk dh yEckbZ fn[kk;h x;h gS

rFkk BDE = BCA rks x dk eku gksxk&

(A) 2.5(B) 3(C) 4 (D) 4.5

Q.32 ;fn U;wudks.k lehdj.k

sec2 + tan2 = 2 dks larq"V dj jgk gS rks

cosec2 + cot2dk eku gksxk&

(A) 5 (B) 4 (C) 3 (D) 9

Page 7: Bansal Bulls Eye Test Paper

CODE : A PAGE NO. # 7

Q.33 Let C be a cube where the length (in cms) of itsbody diagonal is numerically same as its volume(in cu. cm). The length (in cms) of each side, is(A) 21/4 (B) 31/2

(C) 21/3 (D) 31/4

Q.34 Let S be a square pizza of side 's' and C be acircular pizza of radius 'r'. The pizzas S and Chave the same perimeter. Let AS be the area ofS, and let AC be the area of C, then the ratio

C

S

A

A is equal to

(A) 4

2

(B) 2

4

(C)

4(D)

4

Q.35 In a triangle ABC, cos(2A � B) = 1 and sin(A

+ B) = 1. The value of (cosec A + sec B + cotC) is equal to (where none of the angles of A, Band C are greater than 90°)

(A) 4 (B) 34

(C) 24 (D) undefined

Q.36 Three circles of radius 1 are mutually tangent asshown. The shaded area of the gap as shown isequal to

(A) 2

3

(B) 6

1

(C) 3

1

(D) 62

3

Q.37 As shown in the diagram, two circles with radii8 and 18 are tangent and two lines are tangentto both circles. The distance from the intersectionof these lines to the centre of the circle with radius8 is

(A) 16.2 (B) 18.5(C) 20.8 (D) 12.8

Q.33 ekuk fd C ,d ,sls ?ku gS ftlds fod.kZ dk la[;kRed

eku blds vk;ru ds cjkcj gS rks ?ku dh Hkqtk dh

yEckbZ gksxhA

(A) 21/4 (B) 31/2

(C) 21/3 (D) 31/4

Q.34 S ,oa C Øe'k% oxkZdkj rFkk o`Ùkkdkj fiTtk gS

ftldh Hkqtk 's' gS rFkk f=T;k r gS ;fn nksuksa fiTtk

ds ifjeki cjkcj gS ;fn AS rFkk AC nksuks fiTtk ds

{ks=Qy gS rks

C

S

A

A dk eku gksxk&

(A) 4

2

(B) 2

4

(C)

4(D)

4

Q.35 U;wudks.kh; f=Hkqt ABC esa, cos(2A � B) = 1 rFkk

sin(A + B) = 1. rks (cosec A + sec B + cot C) dk

eku gksxkA

(A) 4 (B) 34

(C) 24 (D) undefined

Q.36 bdkbZ f=T;k okys rhu o`Ùk fp=kuqlkj fn[kk;s x;s gS

rks jaxs gq;s {ks= dk {ks=Qy gksxkA

(A) 2

3

(B) 6

1

(C) 3

1

(D) 62

3

Q.37 fp=kuqlkj 8 ,oa 18 f=T;k okys nks oÙk dh mHk;fu"B

Li'kZ js[kk fn[kkbZ x;h gS rks bu nksuksa js[kkvksa dk

izfrPNsn fcUnq ds NksVs o`Ùk ds dsUnz ls nwjh gksxh&

(A) 16.2 (B) 18.5(C) 20.8 (D) 12.8

Page 8: Bansal Bulls Eye Test Paper

PAGE NO. # 8 CODE : A

Q.38 Let the radii of the three semicircles all be R,their centers A, B, C are in a common line, andthe circle with center D has only one point incommon with the given semicircles respectively.Suppose the radius of the circle with center D isr, then R : r equals(A) 15 : 4(B) 11 : 3

A B C

D

(C) 4 : 1(D) 3 : 1

Q.39 If xy = a, xz = b and yz = c, and none of thesequantities is zero, then (x2 + y2 + z2) equals

(A) abc

bcacab

(B) abc

cba 222

(C) abc

)bcacab( 2

(D) abc

)bc()ac()ab( 222

Q.40 In ABC with right angle at C, altitude CH

and median CM trisect the right angle. If the

area of CHM is K, then the area of ABC is

(A) 6K (B) K34

(C) K33 (D) 4K

Q.41 If the sum of the roots of the equationax2 + bx + c = 0 is equal to the sum of the squares

of their reiprocals, then 2

2

a

bc

ac

b is equal to

(A) 1 (B) � 1(C) 2 (D) � 2

Q.42 If n is divided by 90, the remainder is 1. If(n + 179) and (n + 182) are divided by 90, thenthe remainders are respectively(A) 89 and 3 (B) 0 and 3(C) 0 and 2 (D) 2 and 3

Q.38 fn[kk;s x;s rhu v)Zo`Ùk dh f=T;k R gS rFkk muds

dsUnz A, B, C ,d js[kk esa gS ,d D dsUnz okyk o`Ùk

ckdh rhuksa cM+ks oÙkks dks Li'kZ dj jgk gS rFkk D dsUnz

okys o`Ùk dh f=T;k r gS rks R : r gksxk&

(A) 15 : 4(B) 11 : 3

A B C

D

(C) 4 : 1(D) 3 : 1

Q.39 ;fn xy = a, xz = b ,oa yz = c vkSj muesa ls dksbZ

'kwU; ugh gS rks (x2 + y2 + z2) dk eku gksxk&

(A) abc

bcacab

(B) abc

cba 222

(C) abc

)bcacab( 2

(D) abc

)bc()ac()ab( 222

Q.40 ABC dk dks.k C ledks.k gS] ÅWpkbZ CH rFkk

ekf/ed CM dks.k dk rhu cjkcj Hkkxksa esa ckVrs gS

;fn CHM dk {ks=Qy K gS rks ABC dk {ks=Qy

gksxk&

(A) 6K (B) K34

(C) K33 (D) 4K

Q.41 ;fn lehdj.k ax2 + bx + c = 0 ds ewyks dks ;ksx

muds O;qRØe ds oxksZ ds ;ksx ds cjkcj gS rks

2

2

a

bc

ac

b dk eku gksxk&

(A) 1 (B) � 1(C) 2 (D) � 2

Q.42 ;fn n dks 90 ls Hkkx nsus ij 'ks"kQy 1 vkrk gS rks

(n + 179) ,oa (n + 182) dks 90 ls Hkkx nsus ij

'ks"kQy gksxkA

(A) 89 vkSj 3 (B) 0 vkSj 3(C) 0 vkSj 2 (D) 2 vkSj 3

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CODE : A PAGE NO. # 9

Q.43 A bowl contains 100 pieces of colouredicecreams: 28 green, 20 red, 12 yellow, 10 blue,20 brown, and 10 orange. If you are blindfoldedas you pick and eat icecream from this bowl,then the minimum number of pieces, you musteat in order to guarantee that you have eaten atleast 15 of the same colour, is(A) 40 (B) 55(C) 75 (D) 74

Q.44 In the equilateral triangle, ABC, PM isperpendicular to BC, PN is perpendicular to ACand AB = a, then (CM + CN), equals(A) a

(B) a4

5

(C) a2

3

A

B C

N

P

M(D) 2a

Q.45 In the figure shown, the ratio of the area oftriangle ADE and the area of triangle ABC equals(A) sin2A(B) cos2A(C) tan2A

(D) cot2A

Q.43 ,d dVksjs esa 100 vkblØhe gS ftues 28 gjk] 20yky] 12 ihyk] 10 uhyk] 20 Hkwjk rFkk 10 ukjaxh gSAvki dh vka[k ij iV~Vh cka/k dj vkblØhe [kkus

fn;k tkrk gSA vki U;wure fdruh vkblØhe [kk;sxsa

tgk¡ fdlh ,d jax [kk;h gq;h dh vkblØhe dh

ek=k de ls de 15 gS&(A) 40 (B) 55(C) 75 (D) 74

Q.44 leckgq f=Hkqt ABC esa PM js[kk BC ij yEcor~ gS

rFkk PN js[kk AC ij yEcor~ gS rFkk AB = a rks(CM + CN) dk eku gksxk&

(A) a

(B) a4

5

(C) a2

3

A

B C

N

P

M(D) 2a

Q.45 fn[kk;s x;s fp=kuqlkj f=Hkqt ADE dk {ks=Qy rFkk

f=Hkqt ABC ds {ks=Qy dk vuqikr gksxk&

(A) sin2A(B) cos2A(C) tan2A

(D) cot2A

Page 10: Bansal Bulls Eye Test Paper

PAGE NO. # 10 CODE : A

Q.46 In a square shaped field of side 10 m, we movealong two adjacent sides starting from one cornerand ending at the opposite corner. What is ourdisplacement ?(A) 10 m (B) 20 m (C) 14 m (D) 6 m

Q.47 A boy is rotating a ball in a circular path byattaching it to a string. If he releases the string,ball moves.(A) along the same circle(B) along the tangent to the circle(C) towards the centre(D) along a spiralling path, gradually movingtowards the center.

Q.48 A point image I is formed corresponding to apoint object O as shown in the figure. We candefinitely shift this image through adistance �x� as shown at I' by :

x

I I� O

(A) shifting the lens away from O.(B) shifting the lens towards O.(C) inverting the lens so that the other side facesthe lens.(D) none of these

Q.49 In the circuit shown in figure reading of voltmeteris V

1 when only S

1 is closed, reading of voltmeter

is V2 when only S

2 is closed and reading of

voltmeter is V3 when both S

1 and S

2 are closed,

then(A) V

3 > V

2 > V

1

(B) V3 > V

1 > V

2

3R

E

6R R

S1

V

S2

(C) V2 > V

1 > V

3

(D) V1 > V

2 > V

3

Q.50 A 25 watt, 220 volt bulb and a 100 watt, 220volt bulb are connected in series across a 220volt line. Which bulb will glow more brightly(A) 25 watt bulb(B) 100 watt bulb(C) both will have same brightness(D) first 25 watt then 100 watt

Q.46 10 m Hkqtk ds oxkZdkj {kS= esa] ,d dksus ls izkjEHk

gksdj ge nks Øekuqxr Hkqtk ds vuqfn'k xfr djrs gSA

gekjk foLFkkiu gksxk

(A) 10 m (B) 20 m (C) 14 m (D) 6 m

Q.47 ,d yM+dk ,d xsan dks jLlh ls ck¡/kdj bls o`Ùkkdkj

iFk esa ?kqek jgk gSA ;fn ;g jLlh dks NksM+ ns rks xsan

xfr djsaxhA

(A) leku o`r vuqfn'k

(B) o`r dh Li'kZjs[kk ds vuqfn'k

(C) dsUnz dh vksj

(D) dsUnz dh vksj xfr dj jgs lfiZykdkj iFk esa

Q.48 fcUnq O dh fcUnq izfrfcEc fp=kuqlkj curk gSA ge

bl izfrfcEc dks fuf'pr :i esa �x� nwjh ij I' ijfp=kuqlkj foLFkkfir dj ldrs gS ;fn :

x

I I� O

(A) ySal dks O ls nwj foLFkkfir fd;k tk,

(B) ySal dks O dh vksj foLFkkfir fd;k tk,

(C) ySal dks bl izdkj mYVk dj fn;k tk, fd

bldh nwljh Qyd fcEc dh vksj gks tk,A

(D) buesa ls dksbZ ugha

Q.49 n'kkZ, x, ifjiFk esa tc dsoy S1 can gS rks foHkoekih

dk ikB~;kad V1 gS ,oa tc dsoy S

2 can gS rks foHkoekih

dk ikB~;kad V2 gS ,oa tc nksuksa S

1 ,oa S

2 can gS rks

foHkoekih dk ikB~;kad V3 gS rc

(A) V3 > V

2 > V

1

(B) V3 > V

1 > V

2

3R

E

6R R

S1

V

S2

(C) V2 > V

1 > V

3

(D) V1 > V

2 > V

3

Q.50 25 okWV, 220 oksYV ,oa 100 okWV, 220 oksYV ds cYc

220 oksYV dh foHko js[kk ij Js.khØe esa tksM+s tkrs

gSA dkSulk cYc T;knk pedsxkA

(A) 25 okWV cYc(B) 100 okWV cYc(C) nksuksa leku :i ls pedsxsaA

(D) igys 25 okWV dk fQj 100 okWV dk

Page 11: Bansal Bulls Eye Test Paper

CODE : A PAGE NO. # 11

Q.51 200 MeV of energy may be obtained per fissionof U235. A reactor is generating 1000kW ofpower. The rate of nuclear fission in the reactoris(A) 1000 fissions per second(B) 2 × 108 fissions per second(C) 3.125 ×1016 fissions per second(D) 931 fissions per second

Q.52 The sky would appear red instead of blue if(A) atmospheric particles scatter blue light morethan red light(B) atmospheric particles scatter all coloursequally(C) atmospheric particles scatter red light morethan the blue light(D) the sun was much hotter.

Q.53 The requirement for producing biogas is(A) air but not water(B) water but not air(C) air and water(D) neither air not water

Q.54 Which of the following correctly depictsreflections in case of two plane mirrors inclinedat 40° to each other?

(A)

50°

90°

40°(B)

80°

40° 40°

(C)

30°70°

40°

(D) 40°

85° 45°

Q.55 Figure (a), (b) & (c) respectively, indicatecorrect ray diagram in case of

(a)

Near point of normal eye

(b)

Q.51 U235 ds izR;sd fo?kVu esa 200 MeV dh ÅtkZ izkIr

gks ldrh gSA ,d la;= 1000kW 'kfDr mRiUu dj

jgk gSA la;= esa ukfHkdh; fo?kVu dh nj gksxhA

(A) 1000 fo?kVu izfr lSd.M

(B) 2 × 108 fo?kVu izfr lSd.M

(C) 3.125 ×1016 fo?kVu izfr lSd.M

(D) 931 fo?kVu izfr lSd.M

Q.52 vkdk'k uhys dh txg yky izfrr gksxk ;fn

(A) okrkoj.kh; d.k yky izdk'k ls uhys izdk'k dks

T;knk foofrZr djsaA

(B) okrkoj.kh; d.k lHkh jaxksa dks leku :i ls

foofrZr djsaA

(C) okrkoj.kh; d.k uhys izdk'k ls yky izdk'k dks

T;knk foofrZr djsaA

(D) ;fn lw;Z T;knk xeZ gksA

Q.53 ck;ksxSl mRiUu djus dh vko';drk gSA

(A) gok ijUrq ikuh ugha(B) ikuh ijUrq gok ugha(C) gok ,oa ikuh(D) u gok u ikuh

Q.54 ,d nwljs ls 40° ds dks.k ij fLFkr nks lery niZ.kksa

ls ijkorZu dks lgh :i ls iznf'kZr djrs gSA

(A)

50°

90°

40°(B)

80°

40° 40°

(C)

30°70°

40°

(D) 40°

85° 45°

Q.55 fp= (a), (b) & (c) Øe'k% fdl voLFkk dk fdj.k

fp= iznf'kZr djrs gSA

(a)

Near point of normal eye

(b)

Page 12: Bansal Bulls Eye Test Paper

PAGE NO. # 12 CODE : A

(c)(A) the normal eye, the hypermetropic eye andmyopic eye(B) the hypermetropic eye, the myopic eye andthe normal eye(C) the normal eye, the myopic eye and thehypermetropic eye(D) the myopic eye, the normal eye and thehypermetropic eye

Q.56 A light ray takes 2 sec in traveling a distance inair. The time taken by the ray to travel the samedistance in water (n = 1.5) is(A) 1 sec (B) 2 sec(C) 3 sec (D) none of these

Q.57 When a fruit falls from a tree(A) only the earth attracts the fruit(B) both the earth and the fruit attract each other(C) only fruit attracts the earth(D) they repel each other

Q.58 When we go from poles to the equator(A) the mass of the objects changes but theirweight remains the same.(B) the mass of the objects remains the samebut their weight changes.(C) the mass of the objects as well as theirweight changes.(D) the mass of the objects as well as theirweight remains the same.

Q.59 You are left on a frictionless horizontal surfaceby your enemies. You cannot exert any horizontalforce by pushing against the surface. How canyou get off?(A) by jumping(B) by spitting or sneezing(C) by rolling your body on the surface(D) by running on the plane

Q.60 A compass needle placed just above a wire inwhich electrons are moving towards west, willpoint(A) East (B) North(C) West (D) South

(c)(A) lkekU; vk¡[k] nwj n`f"V nks"k dh vkW[k ,oa fudV

n`f"V nks"k dh vkW[k

(B) nwj nf"V nks"k dh vkW[k] fudV nf"V nks"k dh vkW[k

,oa lkekU; vkW[k

(C) lkekU; vkW[k] fudV n`f"V nks"k dh vkW[k ,oa nwj

n`f"V nks'k dh vkW[k

(D) fudV n`f"V nks"k dh vkW[k] lkekU; vkW[k ,oa nwj

n`f"V nks"k dh vkW[k

Q.56 ,d izdk'k fdj.k gok esa ,d nwjh 2 sec esa r; djrk

gSA fdj.k leku nwjh ty (n = 1.5) esa fdrusa le; esa

r; djsxkA

(A) 1 sec (B) 2 sec(C) 3 sec (D) buesa ls dksbZ ugha

Q.57 tc isM+ ls Qy fxjsxk

(A) dsoy i`Foh Qy dks vkdf"kZr djsxhA

(B) Qy ,oa i`Foh nksuksa ,d nwljs dks vkdf"kZr djsaxs

(C) dsoy Qy i`Foh dks vkdf"kZr djsxkA

(D) nksuksa ,d nwljs dks izfrdf"kZr djsaxsA

Q.58 tc ge /kzqo ls Hkwe/; dh vksj tkrsgS

(A) oLrqvksa dk nzO;eku ifjofrZr gksxk ijUrq mudk

Hkkj leku jgsxkA

(B) oLrqvksa dk nzO;eku leku jgsxk ijUrq mudk Hkkj

ifjofrZr gksxkA

(C) oLrqvksa dk nzO;eku ,oa Hkkj nksuksa ifjofrZr gksxsaA

(D) oLrqvksa dk nzO;eku ,oa Hkkj nksuksa leku jgsaxsA

Q.59 rqEgsa rqEgkjsa nq'euksa }kjk ?k"kZ.k jfgr {kSfrt lrg ij

NksM+ fn;k x;k gSA rqe lrg dks /kdsy dj dksbZ

{kSfrt cy vkjksfir ugha dj ldrsA rqe dSls ckgj

fudyksxsaA

(A) dwn dj

(B) Fkwddj ;k Nhad dj

(C) lrg ij vius 'kjhj dks yq<+dkdj

(D) ry ij nkSM+ dj

Q.60 ,d rkj ftlesa bysDVªkWu if'pe dh vksj xfr dj jgs

gS] ds Bhd Åij j[kh (compass) lqbZ fpfUgr djsxhA

(A) iwoZ (B) mÙkj(C) if'pe (D) nf{k.k

Page 13: Bansal Bulls Eye Test Paper

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Q.61 A ball is thrown vertically up. On the ball,(A) As the ball rises, work done by gravity isnegative and as it descends, the work done bygravity is positive.(B) As the ball rises, work done by gravity ispositive and as it descends, the work done bygravity is positive.(C) As the ball rises, work done by gravity isnegative and as it descends, the work done bygravity is negative.(D) As the ball rises, work done by gravity ispositive and as it descends, the work done bygravity is negative.

Q.62 Which of the following is the speed time graphfor the motion of a ball thrown vertically upwardswith an initial speed until it returns to the point ofthrowing.

(A)

t

v

O (B)

t

v

O

(C)

t

v

O

(D)

t

v

O

Q.63 When the momentum of a body increases by100%, its kinetic energy increases by(A) 20% (B) 40%(C) 100% (D) 300%

Q.64 A bucket full of water is placed on a springbalance. If we submerge a metal bob in waterwithout touching the bucket, how will the readingof the balance change?(A) It will remain unchanged.(B) It will decrease.(C) It will rise.(D) It is not possible to predict.

Q.65 The time period of a periodic wave is 0.02 s.At a particular position, there is crest at t = 0.A trough appears at this position at t =(A) 0.005 s (B) 0.01 s(C) 0.015 s (D) 0.02 s

Q.61 ,d xSan dks m/okZ/kj Åij QSadk tkrk gSA xSan ij

(A) tSls gh xsan mBsxh] xq:Ro }kjk fd;k dk;Z _.kkRed

,oa tc gh uhps fxjsxh xq:Ro cy }kjk fd;k x;k

dk;Z /kukRed gksxkA

(B) tSls gh xsan mBsxh] xq:Ro }kjk fd;k dk;Z /

kukRed ,oa tc gh uhps fxjsxh xq:Ro cy }kjk fd;k

x;k dk;Z /kukRed gksxkA

(C) tSls gh xsan mBsxh] xq:Ro }kjk fd;k dk;Z _.kkRed

,oa tc gh uhps fxjsxh xq:Ro cy }kjk fd;k x;k

dk;Z _.kkRed gksxkA

(D) tSls gh xsan mBsxh] xq:Ro }kjk fd;k dk;Z /

kukRed ,oa tc gh uhps fxjsxh xq:Ro cy }kjk fd;k

x;k dk;Z _.kkRed gksxkA

Q.62 dqN rkj izkjfEHkd pky ls m/okZ/kj Åij Qsadh x;h

xsan ds fy;s fuEu esa ls dkSulk pky leku oØ gksxk

tc rd fd ;g QSadus okys fcUnq rd ugha vk tkrhA

(A)

t

v

O (B)

t

v

O

(C)

t

v

O

(D)

t

v

O

Q.63 ,d oLrq dk laosx 100% c<+k;k tkrk gS rks bldh

xfrt ÅtkZ c<+sxhA

(A) 20% (B) 40%(C) 100% (D) 300%

Q.64 ikuh ls iw.kZ Hkjh ckYVh dks ,d fLizax larqyu ij j[kk

x;k gSA tc ckYVh dks Nq, fcuk ,d /kkfRod xksyd

(bob) dks ikuh esa Mqcks;k tkrk gS rks larqyu dk

ikB~;kad fdl izdkj ifjofrZr gksxk

(A) ;g vifjofrZr jgsxkA

(B) ;g ?kVsxk(C) ;g c<+sxk(D) irk yxkuk lEHko ugha gSA

Q.65 ,d vkorZ rjax dk vkorZdky 0.02 s gSA ,d fuf'pr

fLFkfr ij t = 0 ij Jax gSA fdrus le; t ij blfLFkfr ij xrZ vk;sxkA

(A) 0.005 s (B) 0.01 s(C) 0.015 s (D) 0.02 s

Page 14: Bansal Bulls Eye Test Paper

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Q.66 Time

Wav

e di

stur

banc

e

Time

Wav

e di

stur

banc

e

Figure-(a) Figure-(b)

(A) The sound on left has higher pitch and thesound on right is louder.(B) The sound on left has higher pitch and islouder.(C) The sound on right has higher pitch and islouder.(D) The sound on right has higher pitch and thesound on left is louder.

Q.67 Which of the following statements is NOT true?(A) The magnetic field produced by a givencurrent in the conductor decreases as thedistance from it increases.(B) The pattern of the magnetic field lines arounda current carrying solenoid is different than thatof a bar magnet.(C) Right hand rule gives the direction of themagnetic field.(D) A solenoid is used to produce anelectromagnet.

Q.68 Ravindran got an electric shock when he touchedthe heating coil of an electric heater, althoughthe switch was in 'off ' position. What could havebeen the reason?(A) Excess current was flowing in the circuit.(B) The fuse of the house had blown off.(C) The coil was connected to the neutral wire.(D) The coil was connected to the live wire.

Q.69 An object of height 7cm is placed 27cm in frontof a concave mirror of focal length 18cm. Tickthe correct statement about the nature of image.(A) erect of size 10.5 cm(B) inverted of size 14 cm(C) inverted of size 3.5 cm(D) erect of size 3.5 cm

Q.66le;

fo{kksHk rjax

fp=-(a) fp=-(b)

fo{kksHk rjax

le;

(A) cka;h vksj dh /ofu esa rkjRo (pitch) vf/kd ,oa

nk;h vksj dh /ofu esa izcyrk (loudness) T;knk gSA(B) ck;h vksj dh /ofu esa rkjRo ,oa izcyrk T;knk

gSA

(C) nk;h vksj dh /ofu esa rkjRo ,oa izcyrk T;knk

gSA

(D) nk;h vksj dh /ofu esa rkjRo vf/kd ,oa ck;h vksj

dh /ofu esa izcyrk vf/kd gSA

Q.67 fuEu esa ls dkSulk dFku lR; ugha gS ?(A) fdlh pky esa izokfgr /kkjk ls mRiUu pqEcdh;

{ks= ?kVrk gS tc blls nwjh c<+rh gSA

(B) /kkjkokgh ifjufydk ds pkjks vksj pqEcdh; cy

js[kkvksa dk izk:i NM+ pqEcd ls fHkUu gksrk gSA

(C) nk,a gkFk dk fu;e pqEcdh; {ks= dh fn'kk n'kkZrk

gSA

(D) ifjukfydk fo|qrpqEcd cukus ds mi;ksx gksrh

gSA

Q.68 jfoUnz dks ,d fo|qr ghVj dh xeZ dq.Myh dks ?kwus ij

>Vdk yxrk gS tcfd fLop (switch) can fLFkfr esagSA D;k dkj.k gks ldrk gSA

(A) ifjiFk esa T;knk /kkjk izokfgr gks jgh FkhA(B) ?kj dk ¶;wt ty pqdk FkkA

(C) dq.Myh fu"Øh; rkj ls tqM+h FkhA

(D) dq.Myh thfor lEifdZr rkj ls tqM+h FkhA

Q.69 18 cm Qksdl nwjh ds vory niZ.k ds lkeus 27cmnwjh ij 7cm ÅapkbZ dh fcEc j[kk gSA izfrfcEc dh

izd`fr ds fy;s lgh dFku dk p;u djksaA

(A) 10.5 cm vkdkj dk lh/kk

(B) 14 cm vkdkj dk mYVk

(C) 3.5 cm vkdkj dk mYVk

(D) 3.5 cm vkdkj dk lh/kk

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Q.70 Choose the correct statement(A) during solar eclipse moon covers the sunexactly because the angle they subtend onearth is same(B) during solar eclipse moon covers the sunpartially because the angle subtended by moonon earth is smaller than the angle subtended bysun.(C) during solar eclipse moon overlaps the sunbecause the angle subtended by moon on earthis smaller than the angle subtended by sun.(D) during solar eclipse moon overlaps the sunbecause the angle subtended by moon is largerthan the angle subtended by sun.

Q.71 A current carrying coil lies in vertical planecontaining North-South direction. A personlooking from west sees anticlockwise current init. Choose the diagram that represents givensituation. (g represents acceleration due togravity)

(A) g

N S

(B) g

N S

(C) g

N S

(D) g

N S

Note : Implies in to the plane of paper,

implies out of the plane of paper

Q.72 What is the height of a typical 7 story Building(A) 112 m (B) 70 m(C) 40 m (D) 21 m

Q.70 lR; dFku dk p;u djsaA

(A) lw;Z xzg.k ds nkSjku pUnzek lw;Z dks iw.kZ :i ls

<d nsrk gSA D;ksafd os iFoh ij leku dks.k cukrs gSA

(B) lw;Z xzg.k ds nkSjku pUnzek lw;Z dks vkaf'kd :i

ls ?kVrk gSA D;ksafd pUnzek }kjk i`Foh ij cuk;k x;k

dks.k lw;Z }kjk cuk, x;s dks.k ls de gksrk gSA

(C) lw;Z xzg.k ds nkSjku pUnzek lw;Z dks vkPNkfnr

(overlap) dj nsrk gSA D;ksafd pUnzek }kjk i`Foh ij

cuk;k x;k dks.k lw;Z }kjk cuk, x;s dks.k ls de gSA

(D) lw;Z xzg.k ds nkSjku pUnzek lw;Z dks vkPNkfnr

(overlap) dj nsrk gSA D;ksafd pUnzek }kjk i`Foh ij

cuk;k x;k dks.k lw;Z }kjk cuk, x;s dks.k ls T;knk

gSA

Q.71 ,d /kkjkokgh dq.Myh m/okZ/kj ry esa mÙkj&nf{k.k

fn'kk esa j[kh gSA if'pe ls ns[krk ,d vkneh blesa

okekorZ /kkjk ns[krk gSA nh x;h fLFkfr dk lgh fp=

gksxkA (g xq:Roh; Roj.k dks iznf'kZr djrk gS)

(A) g

N S

(B) g

N S

(C) g

N S

(D) g

N S

/;ku nsa : dkxt ds ry esa vUnj n'kkZrk gS,

dkxt ds ry esa ckgj n'kkZrk gSA

Q.72 ,d 7 eaftyk bZekjr dh ÅapkbZ yxHkx gksxhA

(A) 112 m (B) 70 m(C) 40 m (D) 21 m

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Q.73 The number of moles of O2 gas at a pressure760 cm of Hg in a container of volume 24.63 at 27°C is

(A) 1 (B) 760 (C) 76 (D) 10

Q.74 2 of 1 M NaOH solution is mixed with 2 of1 M H2SO4 solution. To this solution , blue litmussolution is added then(A) solution is still blue(B) solution becomes red(C) solution becomes colourless(D) solution becomes intense blue

Q.75 Atomic mass of 'Ca' is 40, then select thecorrect option(A) Mass of single atom of 'Ca' is 40 gm(B) Mass of 1 mol atom of 'Ca' is 40 kg(C) Mass of 1 mol atom of 'Ca' is 40 gm(D) Mass of 1 mol atom of 'Ca' is 40 × NA gm,(where NA is Avogadro's number)

Q.76 Which of the following can show structuralisomerism?(A) Compound with general formula CnH2n + 2with n = 4.(B) Chloroform(C) CH4(D) CH3�CH2�CH3

Q.77 The amount of water required to prepare 500gm of 2.5% (by weight) solution of glucose is(A) 497.5 gm(B) 487.5 gm(C) 448.75 gm(D) can not be predicted data insufficient.

Q.78 Number of - bond in a C�60 Buckminster

fullerene molecule.(A) 90 (B) 180(C) 60 (D) 120

Q.79 Penicillin�N is an antibacterial agent that contains

8.8 % sulphur by mass. Minimum molar massof penicillin�N could be

(A) 181.181 gm mol�1

(B) 363.63 gm mol�1

(C) 181.18 kg mol�1

(D) 363.63 kg mol�1

Q.73 760 cm Hg nkc ij] 24.63 vk;ru 27°C rki ij

O2 xSl ds eksyksa dh la[;k D;k gS\

(A) 1 (B) 760 (C) 76 (D) 10

Q.74 2 1 M NaOH foy;u dks 2 1 M H2SO4

foy;u feyk;k tkrk gSA bl foy;u esa uhyk fyVel

foy;u dks feykus ij

(A) foy;u vc Hkh uhyk jgrk gS

(B) foy;u yky gks tkrk gS

(C) foy;u jaxghu gks tkrk gS

(D) foy;u xgjk uhyk gks tkrk gS

Q.75 'Ca' dk ijek.kq Hkkj 40 gS, rks lgh fodYi Nk¡fV;sa

(A) 'Ca' dk ,d ijek.kq dk Hkkj 40 gm gS(B) 'Ca' ds 1 eksy ijek.kq dk nzO;eku 40 kg gS(C) 'Ca' ds 1 eksy ijek.kq dk Hkkj 40 gm gS(D) 'Ca' ds 1 ek sy ijek.k q dk nz O;eku

40 × NA gm gS (tgk¡ NA,sokxzknks la[;k gS)

Q.76 fuEufyf[kr esa ls dkSulk lajpukRed leko;ork

iznf'kZr djrk gS?(A) ;kSfxd ftldk lw= CnH2n + 2 gS] tgk¡

n = 4 gS(B) DyksjksQkeZ

(C) CH4(D) CH3�CH2�CH3

Q.77 2.5% (nzO;eku) 500 gm Xywdksl foy;u dks cukus

ds fy;s ty dh ek=k vko';d gSA

(A) 497.5 gm(B) 487.5 gm(C) 448.75 gm(D) crk;k ugha tk ldrk D;ksafd rF; vi;kZIr gS

Q.78 C�60 cDlehuh,Vl Qqyjhul (Buckminsterfullerene) v.kq esa - cU/k dh la[;k gksxhA

(A) 90 (B) 180(C) 60 (D) 120

Q.79 isfuflyhu �N ,d ,UVh cSDVhfj;y ,tsUV gS ftlesa

(sulphur) S dh nzO;eku % 8.8 % gSA isfuflyhu �

N dk U;wure v.kq Hkkj gksxk\

(A) 181.181 gm mol�1

(B) 363.63 gm mol�1

(C) 181.18 kg mol�1

(D) 363.63 kg mol�1

Page 17: Bansal Bulls Eye Test Paper

CODE : A PAGE NO. # 17

Q.80 In which of following process, breaking ofH-bonds take place(A) Melting of ice(B) Melting of dry ice(C) Vaporisation of Benzene(D) Melting of sodium hydride

Q.81 CH3COOH + CH3�CH2OH H

A + H2OFor the above reaction. Select the incorrectstatement.(A) Ethanoic acid reacts with Na2CO3 to givesodium salt.(B) Ethene can be produced by heating ethanolin presence of excess of concentrated H2SO4(C) The above reaction is known assaponification reaction(D) In presence of an acid or a base product 'A'give back the alcohol & carboxylic acid.

Q.82 In which of the following solutions, the diameterof solute particles are smaller than 1 nm(I) Milk (II) Ink(III) Soda water (IV) Tincture of iodineSelect the correct option.(A) I, II & III (B) II, III & IV(C) I, III & IV (D) III & IV

Q.83 How many gms of ferric sulphide will contain atotal number of atoms equal to Avogadro'snumber.(A) 41.6 gm (B) 24 gm(C) 208 gm (D) 120 gm

Q.84 Which of the following pair shows "Diagonalrelationship".(A) Mg & B (B) Si & N(C) Na & Be (D) Be & Al

Q.85 Solid CO2 is known as dry ice because(A) It is dry in nature(B) It gets converted directly to gaseous state atatmospheric condition.(C) Its structure is similar to ice(D) All are correct

Q.80 fuEufyf[kr izØe esa ls H-cU/k VwVrs gSA(A) cQZ dk fi?kyuk

(B) lw[kh cQZ dk fi?kyuk

(C) csUthu dk ok"ihdj.k

(D) lksfM;e gkbMªkbM dk xyu

Q.81 CH3COOH + CH3�CH2OH H

A + H2Obl vfHkfØ;k ds lEcU/k esa dkSulk dFku xyr gS\

(A) ,Fkuksbd vEy Na2CO3 ls vfHkfØ;k djds

lksfM;e lkYV cukrs gSA

(B) ,Fkhu cu ldrh gS tc ,FksukWy dk lkUnz H2SO4

dh vf/kdrk esa xje fd;k tk;s

(C) mijksDr vfHkfØ;k lkcquhdj.k dh vfHkfØ;k gS

(D) mRikn 'A' vEy ;k {kkj dh mifLFkfr esa ,Ydksgy

rFkk dkcksZfyd vEy cukrk gS

Q.82 fuEufyf[kr foy;uksa esa ls dkSu ls foy;u esa foys;

ds d.kksa dk vkdkj 1 nm ls de gksxkA

(I) nw/k (II) L;kgh(III) lksMk okVj (IV) fVaUpj vk;ksMhu

lgh fodYi dk p;u dhft;sA

(A) I, II & III (B) II, III & IV(C) I, III & IV (D) III & IV

Q.83 fdrus xzke QSfjd lYQkbM (Fe2S3) esa ijek.kqvksa dh

dqy la[;k ,soksxzknks la[;k ds cjkcj gksxhA

(A) 41.6 gm (B) 24 gm(C) 208 gm (D) 120 gm

Q.84 fuEufyf[kr esa ls dkSulk ;qXe fod.kZ lEcU/k iznf'kZr

djrk gS

(A) Mg & B (B) Si & N(C) Na & Be (D) Be & Al

Q.85 Bksl CO2 dks 'kq"d cQZ Hkh dgrs gS d;kasfd

(A) ;g izd`fr esa 'kq"d gksrh gS

(B) ;g lkekU; okrkoj.k esa lh/kh xSlh; izkoLFkk esa

ifjofrZr gks tkrh gS

(C) bldh lajpuk cQZ ls feyrh gS

(D) lHkh fodYi lgh gSA

Page 18: Bansal Bulls Eye Test Paper

PAGE NO. # 18 CODE : A

Q.86 NaCl + H2O + CO2 + NH3 A + BProducts 'A' and 'B' are(A) Na2CO3 + NH4Cl(B) NH4OH + Na2CO3(C) NaHCO3 + NH4Cl(D) (NH4)2CO3 + NaOH

Q.87 Which of the following pair will not givedisplacement reactions:(A) Al2(SO4)3 solution and Mg metal(B) MgCl2 solution and Ca metal(C) Pb(NO3)2 solution and Cu metal(D) FeSO4 solution and Zn metal

Q.88 For the given relationCH4 + O2 + NH3 HCN + H2O

The correct statement is(A) 6 moles of O2 gas are required for 2 molesof NH3(B) The mole ratio between water and HCN is1 : 6.(C) When 6 moles of CH4, 6 moles of O2 and 6moles of NH3 are mixed then 12 moles of H2Oare produced.(D) 3 moles of HCN are produced from 2 molesof CH4.

Q.89 Select true statement.(A) Chromatography is a process of separationof those solutes which do not dissolve in the same solvent.(B) Carborundum, diamond, graphite andfullerene are all allotropes of same element.(C) 15 � 18 % solution of acetic acid in water is

called vinegar .(D) Lead nitrate (solid) on heating give twogaseous products.

Q.90 Select correct sequence of True(T) or False(F)for the following statements.I. Sodium, Iron, Copper and Silver are allsonorous metals.II. The basis of balanced chemical equationis the law of conservation of mass.III. The electron dot structure for sodium,oxygen, magnesium and chlorine will haverespectively 1, 4, 2 and 7 electron dots.

IV. A shiny white coloured transition metal onlong exposure to air becomes black in colour.(A) F T F T (B) T T F T(C) T T F F (D) T T T T

Q.86 NaCl + H2O + CO2 + NH3 A + BmRikn 'A' rFkk 'B' gS &(A) Na2CO3 + NH4Cl(B) NH4OH + Na2CO3(C) NaHCO3 + NH4Cl(D) (NH4)2CO3 + NaOH

Q.87 fuEufyf[kr esa dkSulk ;qXe foLFkkiu dh vfHkfØ;k

ugha nsrk gSA

(A) Al2(SO4)3 foy;u rFkk Mg /kkrq(B) MgCl2 foy;u rFkk Ca /kkrq(C) Pb(NO3)2 foy;u rFkk Cu /kkrq(D) FeSO4 foy;u rFkk Zn /kkrq

Q.88 fuEufyf[kr vfHkfØ;k ds fy;s dkSulk dFku lR; gSA

CH4 + O2 + NH3 HCN + H2O(A) 6 eksy vkWDlhtu ds fy;s 2 eksy veksfu;k

vko';d gSA

(B) ty rFkk HCN ds chp eksy vuqikr is 1 : 6 gSA(C) tc 6 eksy CH4, 6 eksy O2 rFkk 6 eksy NH3

ds feyk;s tkrs gS rks 12 eksy ty curk gSA

(D) 3 eksy HCN 2 eksy CH4 ds }kjk curs gSA

Q.89 lgh dFku Nk¡fV;s &

(A) ØkseksVksxzkQh (Chromatography) ,d ,slk izØe

gS ftlesa foys; mlh foyk;d esa foys; ugha gksrs gSA

(B) dkcksZfjMªe (Carborundum), Mkbe.M rFkk

xzsQkbV o Qwyjhul (fullerene) lHkh ,d rRo ds

vij:i gS

(C) 15 � 18 % ,flfVd vEy ds ty esa foy;u dks

fljdk dgrs gSA

(D) ySM+ ukbVªsV (Bksl) dks xje djus ij nks xSlh;

mRikn curs gSA

Q.90 fuEufyf[kr dFkuksa esa ls lR; (T) rFkk vlR; (F) dk

lgh Øe crkbZ;sA

I. Na, Fe, Cu rFkk Ag lHkh vu quknh

(sonorous) /kkrq gSAII. larqfyr vfHkfØ;k nzO;eku dh vfoukflrk ds

fl)kUr ij vk/kkfjr gSA

III. Na, O, Mg rFkk Cl ds bysDVªkWu vkSj lajpuk

esa Øe'k% 1, 4, 2 rFkk 7 bysDVªkWu tkj gSA

IV. ,d pedus okyh lQsn jax dk laØe.k /kkrq

ok;q ds lkFk yEcs le; rd j[kus ij dkyh gks tkrh

gSA

(A) F T F T (B) T T F T(C) T T F F (D) T T T T

Page 19: Bansal Bulls Eye Test Paper

CODE : A PAGE NO. # 19

ANSWER KEY(BULL'S EYE) 04-04-2010

Q.1 C Q.2 A Q.3 B Q.4 B Q.5 C Q.6 A Q.7 AQ.8 D Q.9 A Q.10 B Q.11 C Q.12 C Q.13 C Q.14 AQ.15 A Q.16 D Q.17 A Q.18 A Q.19 B Q.20 D Q.21 AQ.22 B Q.23 B Q.24 B Q.25 B Q.26 C Q.27 B Q.28 CQ.29 D Q.30 D Q.31 D Q.32 A Q.33 D Q.34 D Q.35 AQ.36 A Q.37 C Q.38 C Q.39 D Q.40 D Q.41 C Q.42 BQ.43 C Q.44 C Q.45 B Q.46 C Q.47 B Q.48 A Q.49 CQ.50 A Q.51 C Q.52 C Q.53 B Q.54 A Q.55 A Q.56 CQ.57 B Q.58 B Q.59 B Q.60 D Q.61 A Q.62 D Q.63 DQ.64 C Q.65 B Q.66 A Q.67 B Q.68 D Q.69 B Q.70 A

Q.71 D Q.72 D Q.73 D Q.74 B Q.75 C Q.76 A Q.77B

Q.78 A Q.79 B Q.80 A Q.81 C Q.82 D Q.83 A Q.84 DQ.85 B Q.86 C Q.87 C Q.88 C Q.89 D Q.90 A