ACME (10th Pass) Select the correct alternative. Only one is correct. There is NEGATIVE marking. For each wrong answer 0.5 mark will be deducted. Q.1
A rectan rectangle gle with sides sides of of length length x and y is a golde golden n (y x)
rectangle if
y
=
y x
(A) 1 3
(B)
(C) 2 2 1
Q.2
. In this case
(D)
y x
2
2
3
es a
2 1 5 2
2
2
2
sin x cosec x cos x sec x (tan x cot x )
wherever defined equals (A)
1
(B)
2
3 2
Q.3
If 4 (A)
Q.4
(C) (D) Q.5
256
3
x
and 3 =
(B) – 1
2
ca b
(C) 1
(D)
y x
gks] rks bl n'kk
cjkcj gksxk xk
(A) 1 3
(B)
(C) 2 2 1
(D)
3 2 1 5 2
O;atd td
sin 2 x cosec2 x cos 2 x sec 2 x (tan 2 x cot 2 x )
3
1 27
, then y is equal to
(C)
3 4
(D)
(A)
Q.3
2
1
(B)
2
3 2
;fn 4 y 256 rFkk 3x = (A)
3
Q.4
c( a b )
(C)
b c( a b )
(D)
b
(B) 3 2 2
(C) 6 2 2
(D) 3 2
(B) – 1
2
1 27
(C)
(D)
3
gks] rks y cjkcj gksxk xk
3
(D)
4
2 3
fn;s x;s fp=kuqlkj] fuEu es a ls fdl dh yEckbZ x [k.M ds cjkcj gksxh xh ? (B)
(A) 6 2
3
(C) 1
(A) ca – 1
1
The differen difference ce of two two positiv positivee number numberss is 2, and and the product of these two numbers is 17. Then their sum is
CODE : A
x
y
=
tgk¡ ij ifjHkkf"kr gS] cjkcj gks xk xk
Which Which one one of of the following following is equa equall to the length length of the segment x as per the given figure? (A) ca – 1 (B)
Q.2
y
(y x)
x
x y
,d vk;r ftldh Hkq tkvks tkvks a dh yEckbZ x vkSj y gS] lq ugjk ugjk vk;r dgykrk gS] ;fn
equals
The The val value ue of the expr expres essi sion on 2
Q.1
[90 ×2 = 180]
Q.5
ca b
1
c( a b ) b c(a b) b
nks fHkUu /kukRed la[;kvks [;kvks a dk vUrj 2 gS rFkk bUgh la[;kvks [;kvks a dk xq.kuQy 17 gks] rks budk ;ksxQy xQy gksxk xk (A) 6 2
(B) 3 2 2
(C) 6 2 2
(D) 3 2 PAGE NO.# 1
Q.6
The averag averagee of two numb numbers ers is x. If you you multip multiply ly one of the two numbers numb ers by 18, the average of the two new number (one of which whi ch is unchanged) is 2x. The ratio of the smaller original number to the larger original number, is (A)
Q.7
Q.8
Q.9
1
(B)
4
1
(C)
6
1
(D)
8
Q.6
(A)
1 16
Let Let A be the the area area of a triang triangle le with with sides sides 5, 5 and 8 and let B denote the area of a triangle with wi th sides 5, 5 and 6. Which of the following statements is true? t rue? (A) A < B < 12 (B) B < A < 12 (C) A = B (D) 12 < A < B
Q.7
The area area of the squar squaree inscri inscribed bed in a semicirc semicircle le is to to the area of the square inscribed in the entire circle are (A) 1 : 2 (B) 2 : 3 (C) 2 : 5 (D) 3 : 4
Q.8
If x, y and z satisf satisfy y yz = 1 ; zx = 2 ; xy = 3, then then the value value of (x2 + y2 + z2), is
Q.9
(A)
17 2
(B)
25
(C)
3
33
(D)
4
nks la[;kvks [;kvks a dk vkS lr x gSA ;fn fdlh ,d la[;k [;k dks 18 ls xq.kk fd;k tk;s] rks u;h la[;kvks [;kvks a dk vkSlr (ftues a ls ,d vifjofrZ r gS ) 2x gSA rks ewy NksVh Vh la[;k [;k vkS j ew y cM+ h la[;k [;k dk vuqikr gksxk xk
49 6
1
(B)
4
1
(C)
6
1
(D)
8
1 16
,d f=Hkqt ftldh Hkqtk,a 5, 5, 8 gS]a mldk {ks =Qy A gS rFkk nw l jk f=Hkq t ftldh Hkq t k,a 5, 5, 6 gS a mldk {ks =Qy B gSA fuEu es a ls dkSu lk dFku lR; gS ? (A) A < B < 12 (C) A = B
(B) B < A < 12 (D) 12 < A < B
v)Zo`Ùk es a cus gq, oxZ vkSj lEiw .kZ .kZ o`Ùk es a cus gq, oxZ dk vuqikr gksxk xk (A) 1 : 2
(B) 2 : 3
(C) 2 : 5
(D) 3 : 4
;fn x, y vks j z lehdj.k yz = 1 ; zx = 2 ; xy = 3 dks la rq"V djrs gS]a rks (x2 + y2 + z2) dk eku gksxk xk (A)
17
(B)
2
25
(C)
3
33
(D)
4
49 6
Q.10 Ram and Rama Rama live live on the same same street street and often often walk towards each other's home. If they both leave their homes at 8:00 a.m., then they will meet at 8.04 a.m. If Rama leaves her home at 8:00 a.m. but Ram does not leave his home until 8:03 a.m., then they will meet at 8: 05 a.m. Number of minutes does it take for Ram to walk all the t he way to Rama's home is (Assume that each person walks at his or her own constant rate.) (A) 8 (B) 9 (C) 10 (D) 12
u aks vDlj Q.10 jke vkSj jek nks uks a ,d gh xyh es a jgrs ga SA nks uks
Q.11 Q.11 The differen difference ce between between the the larger larger root and the
Q.11 lehdj.k x
smaller root of x (A) 0
2
(B) 1
–
px +
(p 2 1) 4 (C) 2
= 0, is
(C) CODE : A
1 2 1 2
(A) 8
(B) 9
2
–
px +
(C) 10 (p 2 1) 4
(D) 12
y = 0 dh lcls cM+ s ewy
vkSj lcls NksVsVs ewy dk vUrj gks xk xk (A) 0
(B) 1
(C) 2
(D) p
(D) p
Q.12 Let the bisecto bisectors rs of the exterior exterior angles angles at B and C of triangle ABC meet at D. If all measurements are in degrees then angle BDC equals (A)
,d nw ljs ds ?kj dh rjQ pyrs gSA ;fn nksuks u aks vius ?kj ls 8:00 a.m. ij fudyrs gS] rks ;s nksuks u aks 8.04 a.m ,d nw ljs ls feyrs gSA ;fn jek ?kj ls 8:00 a.m. ij fudyrh gS ijUrq jke 8:03 a.m. rd rd Hkh ?kj ls ugha fudyrk gS] rks ;s 8: 05 a.m. ij feyrs gS aA rks fdrus feuV es a jke] jek ds ?kj igq¡psxk xk ? (ekuk nksuks u aks ,d gh pky ls pyrs gSA)
.k B ,oa C ds ckg~; dks.k .k f}Hkktd Q.12 f=Hkqt ABC ds dks.k fcUnq D ij feyrs gSAa ;fn lkjs eki fMxzh es a gks] rks dks.k .k xk BDC cjkcj gksxk
(90 A )
(B) 90 – A
(A)
(180 A)
(D) 180 – A
(C)
1 2 1 2
(90 A )
(B) 90 – A
(180 A )
(D) 180 – A PAGE NO.# 2
Q.13 If the radius of a circle is increased increased by 1 unit, the ratio of the new circumference circumference to the t he new diameter is (A) + 2
(B)
2 1 2
(C)
(D) (D)
2 1
Q.13 ;fn o`Ùk dh f=T;k dks 1 bdkbZ c<+ k;k tk;s rks u;h
ifjf/k o u;s O;kl dk vuqikr gks xk xk (A) + 2
(B )
2 1 2
(C)
(D) (D)
2 1 2
2
Q.14 If the polynomi polynomial al P(x) = x1000 + ax + 9 divisible by (x + 1), then 'a' equals (A) 9 (B) 10 10 (C) – 10 (D) None
Q.14 ;fn cgqin P(x) = x 1000 + ax + 9, (x + 1) ls foHkkftr gks] rks a cjkcj gksxk xk (A) 9 (B) 10 bZ ugha (C) – 10 10 (D) dksbZ
Q.15 Q.15 In quadrilateral quadrilateral ABCD, ABCD, diagonal diagonal BD is perpendicular to sides AD and BC. The length of BD is 8. The length of side AB is 17 and the length of side CD is 10. What is the area of ABCD? (A) 80 (B) 84 (C) 125 (D) 144
Q.15 prqHkZqt ABCD es a, fod.kZ BD Hkqtkvks a AD ,oa BC ds yEcor~ gSA BD dh yEckbZ 8 bdkbZ gS rFkk Hkqtk AB dh yEckbZ 17 bdkbZ gS vkSj Hkqtk CD dh yEckbZ 10 bZdkbZ gS] rks ABCD dks {ks =Qy gksxk gks xk (A) 80 (B) 84 (C) 125 (D) 144
Q.16 The The equ equat atio ion n x2 – x = a2 + a has exactly one solution. The number a must be
Q.16 lehdj.k x2 – x = a2 + a dk ds oy ,d gh gy gks ] rks la[;k [;k a gksxh xh
(A)
1
(B)
2
1 4
(C) 0
(D)
1 2
Q.17 The value of c for which the system system of equations equations solut ion, is 3x – 4y = 7 and x + cy = 13 have no solution, (A) – 4
(B)
4 3
(C)
3
(D)
4
4
(A)
1
(B)
2
(A) x (C) x
CODE : A
b a
a b
(B) x
b
(D) x
c
a a
4
(C) 0
(D)
1 2
gksxk (A) – 4
Q.19 Q.19 If x = – 1 is one solution of ax 2 + bx + c = 0, what is the other solutions?
1
Q.17 c dk eku ftlds fy, lehdj.k rU= bZ gy ugha gks] 3x – 4y = 7 and x + cy = 13 dks dksbZ
3
Q.18 Four points points A, B, C and D on a given given circle circle are chosen. If the diagonals of quadrilateral ABCD intersect at the centre of the t he circle, then ABCD must be a (A) Trapezium (B) Square (C) Rectangle (D) Kite
(B)
4 3
(C)
3
(D)
4
4 3
Q.18 fn;s x;s o`Ùk ij pkj fcUnq A, B, C ,oa D pqus tkrs gSAa ;fn prq HkqH Zkqt t ABCD ds fod.kZ ,d nw ljs dks o`Ùk Ùk ds dsUnz Unz ij çfrPNsfnr fnr djrs gks] rks prqHkZt ABCD fuf'pr gh (A) leyEc prq HkZt gksxk xk (B) oxZ gksxk xk (C) vk;r gksxk xk (D) irax gksxk xk Q.19 ;fn x = – 1 lehdj.k ax2 + bx + c = 0 dk ,d gy gks]
rks nw ljk gy gks xk xk (A) x (C) x
b a
a b
(B) x
b
(D) x
c
a a
PAGE NO.# 3
Q.20 Ram solves solves the equat equation ion ax ax – b = c, and Shyam solves bx – c = a. If they get the same correct answer for x, and a, b and c are distinct and nonzero. The true statement, is (A) a + b + c = 0 (B) a + b + c = 1 (C) a + b = c (D) b = a + c
Q.20 jke lehdj.k ax – b = c dks gy djrk gS vkSj ';ke bx u aks ds x ds fy, leku mÙkj vkrs gSa – c = a dksA ;fn nks uks rFkk a, b ,oa c ds vyx vkSj 'kw U; U; ls cM+ s mÙkj vkrs gS]a rks fuEu es a ls dkSu lk dFku lgha gksxk xk ? (A) a + b + c = 0 (B) a + b + c = 1 (C) a + b = c (D) b = a + c
Q.21 Q.21 If x2 + 4x + 7 is an even number, which of the following must be an odd number? (A) 3x2 – 5x – 33 + 9x – 2x2 (B) x2 + x + 60 + 3x – 9 (C) 6x2 – 2x – 80 + 6x – 5x2 (D) x2 – 10x – 17 + 14x + 46
Q.21 ;fn x2 + 4x + 7 ,d le la[;k [;k gks] rks fuEu es a ls dkSulh la[;k [;k t:j fo"ke gh gks xh xh ? 2 2 (A) 3x – 5x – 33 + 9x – 2x (B) x2 + x + 60 + 3x – 9 (C) 6x2 – 2x – 80 + 6x – 5x2 (D) x2 – 10x – 17 + 14x + 46
Q.22 For how many many intege integers rs x in the set {1, 2, 2, 3, ......, ......, 99, 100} is (x 3 – x2) the square of an integer? (A) 7 (B) 8 (C) 9 (D) 10
g {1, 2, 3, ......, 99, 100} es a fdrus iw.kk± . kk±d gSa Q.22 lewg ftudk oxZ (x3 – x2) gksxk xk ? (A) 7 (B) 8 (C) 9 (D) 10
Q.23 Given Given P (x) = 12x 12x2 + 8x – 9 and Q(x) = – 9x2 + 14x + 29. Let the sum of the roots of P(x) = 0 and Q(x) = 0 are a and b, respectively respecti vely.. The sum of the roots of 2 R(x) = ax + bx + ab, is
Q.23 ekuk fd P(x) = 12x2 + 8x – 9 vkSj Q(x) = – 9x2 + 14x + 29 gSaA ekuk P(x) = 0 ,oa Q(x) = 0 ds ew yks y aks dk ;ksx Øe'k% a 2 vkSj b gS] R(x) = ax + bx + ab ds ew yks y aks dk ;ksx gksxk xk
(A)
3
(B)
4
4
7
(C)
7
Q.24 Q.24 Supp Suppos osee sin sin + cos =
1 5
(D)
3
7 6
37 125
(B)
1
.
(C)
125
91
(D)
125
(B)
(C)
(D) CODE : A
B
1
47 125
(A)
2
E
1
A
(A)
(B) D
C
(C)
2 3 3
4
4
7
(C)
7
1 5
(D)
3
7 6
gSA sin3 + cos3dk eku
37 125
(B)
1
(C)
125
91
(D)
125
47 125
t ABC ,d lef}ckgq f=Hkqt gS tks Q.25 fn;s x;s fp= es a f=Hkqt .kh; gSA f=Hkqt ADB vkSj CDB nksuks u aks dk C ij ledks.kh; 2 {ks =Qy 1 cm gSA Hkqtk DE Hkqtk AB ds yEcor gSA (ls- eh- es a) gksxh xh DE dh yEckbZ ls
3 2
(B)
gksxk
Q.25 Q.2 5 In the picture picture below below,, the triangle triangle ABC ABC is an isosceles isosceles triangle with a right angle at C. The triangles ADB and CDB both have area 1 cm 2. The segment DE is perpendicular to AB. The length (in cms) of DE, is (A)
3
Q.24 ekuk sin + cos =
The value of sin 3 + cos3, is (A)
(A)
(D)
B
1 3 E
2 2
A
D
C
1 2 3 3 PAGE NO.# 4
Q.26 A group of friends went for a dinner dinner. The bill amounted to Rs. 120. Two of them ate and left without paying. The rest of o f the group have to cover for them. The group calculated that if everyone everyone gave an extra amount of Rs. 2, it would cover the bill. Number of persons in the original group that went to dinner, dinner, lies is the interval. (A) 6 to 9 (B) 10 to 13 (C) 14 to 17 (D) None
Q.27 Q.27 Suppose
x
1
x
x > 0 and
1
3.
x
Then
equals.
2
(B)
5
5 or
5
tan2 x – sec2 y =
3
,
5 6
a – 3, the values of 'a' are
3 2
(C)
1
x
x
3 gks] rks
x
1
x
dk
2
(B)
5
5 or
5
(D) 2 5
5
I. x 7 II. (A) I < III < II (C) III < II < I –
8
–
x
1 4
(B) 3
?
III. x 9 (B) I < II < III (D) III < I < II –
Q.30 If x is positive, positive, the least least value value of x (C) 4
[;k,s a x vkSj y tks lehdj.kks a Q.28 ;fn nks okLrfod la[;k,s –
sec2 x + tan2 y = a2 ,oa tan2 x – sec2 y =
9
, is
x (D) 6
Q.31 The area area of an annular annular region region bounded bounded by two concentric circles is 5 square centimeters. The difference between between the radii of the circles is one centimeter. centimeter. What is the radius of the smaller circle, in centimeters? (A) 2 (B) 3 (C) 4 (D) 6
5 6
a – 3,
dks la rq"V djrh gSa ] rks a dk eku gksxk xk
(C)
(D) Not real
Q.29 Which Which of the follow following ing is is true true if x
CODE : A
Q.27 ;fn x > 0 ,oa
(A)
2 3 (B) , 3 2
2 3 (C) , 3 2
(A) 2
(B) 10 to 13 bZ ugha (D) dksbZ
(D) 2 5
Q.28 For two real real numbers numbers x and y which which satisfy satisfy the the equations – sec2 x + tan2 y = a2 and
(A)
(A) 6 to 9 (C) 14 to 17
(A) 2 5 or
5
2
Hkqxrku fd;s pys tkrs gSA cps gq, nks Lrks dks muds fgLls ds Hkqxrku dks vkil es a ck¡Vuk Vuk iM+ rk gSA os x.kuk djrs gS fd ;fn çR;s d O;fDr 2 :i;s vfrfjDr ns rks fcy dh jkf'k iw jh gks tkrh gSA lew g es a O;fDr;ks a dh okLrfod la[;k [;k tks nkor ds fy, vk;s Fks] fdl vUrjky es a gksxh xh
eku cjkcj gksxk xk
(A) 2 5 or (C)
x
Q.26 nks Lrks a dk ,d lew g nkor ds fy, tkrk gSA nkor dk [kpkZ 120 :i;s vkrk gSA mues a ls nks [kkuk [kkdj cxSj
2 3
,
3
(B)
2
2 3 , 3 2
Q.29 ;fn x
2 3 , 3 2
(D) okLrfod ugha
1 4
gks] rks fuEu es a ls dkSu lk lR; gksxk xk
I. x 7 II. (A) I < III < II (C) III < II < I –
8
–
x
Q.30 ;fn x /kukRed gks] rks x (A) 2
(B) 3
III. x 9 (B) I < II < III (D) III < I < II –
9
dk U;w ure ure eku gksxk xk
x (C) 4
(D) 6
Unzh; o`Ùkks Ùkks a ls lhfer NYysnkj nkj {ks = dh {ks =Qy 5 Q.31 nks ldsUnz oxZ lsUVhehVj UVhehVj gSA o`Ùkks a dh f=T;kvks a dh chp es a ,d lsUVhehVj UVhehVj dk vUrj gS A NksVsVs o`Ùk dh f=T;k lsUVhehVj UVhehVj es a gksxh (A) 2
(B) 3
(C) 4
(D) 6
PAGE NO.# 5
Q.32 Q.3 2 Area of of a square square inscribed inscribed in an an equilateral equilateral triangle, triangle, with one edge of the square on an edge of the triangle,
if the side of the equilateral triangle is 2 3
Q.32 ,d leckgq f=Hkqt ,d oxZ bl çdkj cuk;k tkrk gS fd
mldh ,d Hkqtk f=Hkqt dh ij fLFkr gS ] ;fn leckgq f=Hkqt dh Hkqtk 2 3 gks] rks oxZ dk {ks =Qy gks xk xk
equals (A) 3
(C)
(B)
(A) 3
2 33 2
(C)
3 3 3
3 3 3
(D) 2 3
4
(B)
2 33 2
(D) 2 3
4
real numbers numbers and are roots of Q.33 Two di ff erent rea the quadratic equation ax 2 + c = 0 with a, c 0. Consider the following statements +=0 (i) 2 + 2 = 0 (ii) (iii) 3 + 3 = 0 (iv) = 0 Number of statement which can be true, is (A) 0 (B) 1 (C) 2 (D) 3
[;k,s a vkSj f}?kkrh lehdj.k Q.33 nks fHkUu okLrfod la[;k,s ga SA fuEu dFkuks a dks i<+ sA ax2 + c = 0 (a, c 0) ds ewy (i) +=0 (ii) 2 + 2 = 0 (iii) 3 + 3 = 0 (iv) = 0
Q.34 Which expression expression is a factor factor of x 2 – xz + yz – y2? (A) x + y (B) y – z (C) x + y + z (D) x + y – z
Q.34 fuEu es a ls dkSu lk x2 – xz + yz – y2 dk xq.kd gksxk xk ? (A) x + y (B) y – z (C) x + y + z (D) x + y – z
Q.35 A circle circle with with center center A and radius radius 7 is tangent tangent to the sides of angle of 60°. 60°. A larger circle with wit h center B is tangent to the side of the angle and to the first circle. The radius of the larger circle is
Ùk ftldk dsUnz Unz A rFkk f=T;k 7 gS] 60° .k Q.35 ,d o`Ùk 60° dk dks.k
fn;s x;s mijksDr Dr dFkuks a es a ls lR; dFkuks a dh la[;k [;k gksxh xh (A) 0
(B) 1
(C) 2
(D) 3
cukus okyh nks js[kkvks [kkvks a dks Li'kZ djrk gSA ,d cM+ k o`Ùk ftldk dsUnz Unz B gS tks nksuks u aks js[kkvks [kkvks ,oa igys okys o`Ùk Ùk dks Li'kZ djrk gS A cM+ s okys o`Ùk dh f=T;k gksxh xh
(A) 30 3 (B) 21
(A) 30 3 (B) 21
(C) 20 3 (D) 30
(C) 20 3 (D) 30
Q.36 The value value when when the number number N = (31003 + 31002) is divided by (31001 – 31000), is (A) 18 (B) 27 (C) 65 (D) 82
[;k N = (31003 + 31002) dks (31001 – 31000) ls Q.36 la[;k
Q.37 A cone has a circular circular base with with a radius of 4cm. A slice is made parallel to the t he base of the cone so that the new cone formed has half the volume of the original cone. The radius in centimeters of the t he base of the new cone, is
Q.37 ,d 'kadq dq vk/kkj o`Ùkkdkj gS ftldh f=T;k 4 lseh eh gSA ,d
(A) 23 4
(B) 23 2
(C) 2 2
(D) 2
Q.38 If r, s are are the the roots roots of the the equation equation x2 + x + 3 = 0, then equation (A) x2 – 3x + 1 = 0 (C) 6x2 – x + 3 = 0 CODE : A
1 1 , are the roots of the r s
(B) x2 + 3x – 1 = 0 (D) 3x2 + x + 1 = 0
foHkkftr djus ij eku gksxk xk (A) 18
(B) 27
(C) 65
(D) 82
Qk¡d 'kadq dq ds vk/kkj ds lekUrj bl rjg cukbZ tkrh gS fd cus gq, u;s 'kadq dq dk vk;ru ew y 'kadq dq ds vk;ru dk vk/kk gks rk gSA u;s 'kadq dq ds vk/kkj dh f=T;k ls (lsUVhehVj UVhehVj ) es a gksxh xh (A) 23 4
(B) 23 2
(C) 2 2
(D) 2
gks a] rks Q.38 ;fn r, s lehdj.k x2 + x + 3 = 0 ds ewy
1 1 , r s
lehdj.k ds ewy gksxs x as (A) x2 – 3x + 1 = 0 (C) 6x2 – x + 3 = 0
(B) x2 + 3x – 1 = 0 (D) 3x2 + x + 1 = 0 PAGE NO.# 6
Q.39 Suppose Suppose ABC is a triangle triangle with area area 24 and that that there is a point P inside ABC which is distance 2 from each of the sides of ABC. The perimeter of ABC, is (A) 12 (B) 24 (C) 36 (D) 48
gS ftldk {ks =Qy 24 bdkbZ gS Q.39 ekuk ABC ,d f=Hkqt rFkk f=Hkqt ABC ds vUnj P fcUnq fLFkr gS ftldh f=Hkqt dh çR;sd Hkqtkvks a ls nw jh 2 bZdkbZ dkbZ gS] rks f=Hkqt xk ABC dk ifjeki gksxk (A) 12 (B) 24 (C) 36 (D) 48
Q.40 In the figure, figure, AD is a diameter diameter of the circle circle with centre O and AO = 5. The length of arc BCD, is (A) (B) 3
Q.40 fn;s x;s fp= es a] AD o`Ùk dk O;kl gS ftldk ds Unz O gS vkSj AO = 5 gSA pki BCD dh yEckbZ gksxh xh (A) (B) 3
(C) (D)
3
(C)
2 7
(D)
2
Q.41 Q.41 Cons Consid ider er S =
a
c
1
. If 0 < a < b < c < d < e
b d e in the equation, then the greatest increase in S would result from adding 1 to the value of which variable? (A) a (B) b (C) c (D) e
Q.42 If m and p are positive positive integer integer and (m + p)m is even, which of the following must be true? (A) If m is odd, then p is odd. (B) If m is odd, then p is even. (C) If m is even, then p is even. (D) If m is even, then p is odd.
Q.43
8 2
w
3 a 3
3 2 7 2
Q.41 ekuk S =
a b
c
1
d
e
.
;fn lehdj.k es a
0 < a < b < c < d < e gks a] rks S es a vf/kdre o`f) fdl pj es a 1 tksM+ Musu+ s ij gksxh xh ? (A) a (B) b (C) c (D) e
.kk±d gSa rFkk (m + p)m le gS ] Q.42 ;fn m vkSj p /kukRed iw .kk± rks fuEu es a ls dkSulk lnS o lR; gks xk xk ? xkA (A) ;fn m fo"ke gS] rks p fo"ke gksxkA xkA (B) ;fn m fo"ke gS] rks p le gks xkA xA (C) ;fn m le gS] rks p le gks xA xkA (D) ;fn m le gS ] rks p fo"ke gksxkA Q.43
8 2
w
3 a 3
In the incomplete table above, the sum of three integer in each row, column and diagonal is the same. If the numerical values in four of the t he blocks are as shown, the value of w, is (A) – 6 (B) – 5 (C) 2 (D) 5
mijksDr Dr v/kw jh lkj.kh es a] çR;sd drkj] LrEHk ,oa fod.kZ dk iw .kk± .kk±d aks dk ;ksx cjkcj gSA ;fn pkj [k.Mks a es a la[;k [;k nh x;h gSa] rks w dk eku gksxk xk
Q.44 If n is an odd intege integer, r, which one of the following following must be an odd integer? (A) n – 1 (B) n + 1 (C) 3n + 1 (D) 4n + 1
.kk±d gS] rks fuEu es a ls dkSu lk fo"ke Q.44 ;fn n fo"ke iw .kk± iw.kk± . kk±d gksxk xk ? (A) n – 1 (B) n + 1 (C) 3n + 1 (D) 4n + 1
Q.45 If xy xy = 2 and and xy2 = 8, the value of x, is equal to
xk Q.45 ;fn xy = 2 ,oa xy2 = 8 gks] rks x dk eku cjkcj gksxk
(A)
CODE : A
1 2
(B) 2
(C) 4
(D) 8
(A) – 6
(A)
1 2
(B) – 5
(B) 2
(C) 2
(C) 4
(D) 5
(D) 8
PAGE NO.# 7
Q.46 Rate of evaporation evaporation of of water from a body of water does not depend on (A) Surface area of the water body. (B) Humidity Humidit y of the air (C) The speed of wind (D) The depth of water
Q.46 fdlh ikuh ds oLrq es a ikuh ds ok"ihdj.k (evaporation)
Q.47 Which Which of the following following was thomso thomson n’s model of an atom. (A) Atom is a negatively charged sphere in which positively charged particles are uniformly distributed. (B) Atom is a positively charged sphere in which negatively charged particles are uniformly distributed. (C) The entire mass of atom is concentrated at the centre in the form of negative charge and positive charge is revolving around it. (D) The entire mass of atom is concentrated concentrat ed at the centre in the form of positive charge and negative charge is revolving around it.
Q.47 fuEu es a dkSu lk FkkWelu ds v.kq ekWMy ls lEcfU/kr gSA f'kr xksyk yk gS ftles a /kukos'k 'k ,d (A) v.kq ,d _.k vkosf'kr
Q.48 Q.48 The Vav
formula
for
initial velocity
average
velocity,, velocity
final velocity 2
is true in which case? (A) When the velocity is changing at uniform rate. (B) When the acceleration is changing changi ng at a uniform rate. (C) When the object is moving in a circle. (D) This formula is true in all the cases.
dh nj fuEu es a fdu ij fuHkZj ugha djrk gSA (A) i`"B {ks =Qy (B) ok;q dh vknz rk (C) ok;q dk os x x (D) ikuh dh xgjkbZ
leku :i ls fc[kjk gqvk gSA f'kr xksyk yk gS ftles a _.k vkos'k 'k (B) v.kq ,d /ku vkos f'kr ,d leku :i ls fc[kjk gSA nzO;eku O;eku mlds dsUnz Unz es a mlds _.k vkos'k 'k (C) v.kq ds dqy dh :i es a gS vkS j /ku vkos 'k mlds pkjks a rjQ ?kw e jgk gSA Unz es a vkos'k 'k dh :i es a (D) v.kq ds dqy nzO;eku mlds dsUnz gS vkSj _.k vkos 'k 'k mlds pkjks rjQ ?kw e jgk gSA
iz kjafHkd fHkd osx x $ vafre fre osx x 2 fuEu es a fdl fLFkfr es a lgh gSA (A) tc osx ifjorZu dh nj fLFkj gks A (B) tc Roj.k ifjorZu dh nj fLFkj gks A (C) tc oLrq o`fÙk; iFk ij ?kw e jgk gksA lgh gSA (D) gj fLFkfr es a lw =
x vkSlr osx Q.48 lw =
bZ cl pkyd }kjk Q.49 ,d cl 72 km/hr dh pky ls pyrh gq bZ Q.49 A bus driver driver puts puts brakes brakes while while the bus is travellin travelling g at a speed of 72 km/hr. The bus comes to a stop in 10sec. what is the distance travelled by the bus till then? (A) 100m (B) 200m (C) 50m (D) 150m Q.50 A ball of mass mass 50gm 50gm moving with a velocity velocity of 6 m/s strikes another ball of mass 25 gm moving in the opposite direction di rection with a speed of 2 m/s. After the collision, the 50 gm ball moves with a velocity of 3 m/s in the same direction. What is the velocity of 25 gm ball. (A) 5 m/s (B) 3 m/s (C) 4 m/s (D) 2 m/s
CODE : A
czd s yxkus ij ,d leku :i ls efUnr gks rk gqvk d.M es a :d tkrk gSA bl nkS jku cl us fdruh nw jh 10 lsd.M r; dhA (A) 100m (C) 50m
(B) 200m (D) 150m
Q.50 ,d 50gm dk xs an n 6 m/s ls pyrk gq vk vk foijhr fn'kk ls 2 m/s vkus okys 25 gm ds xs an ls Vdjkrk gSA Vdjkus ds ckn 50 gm xs an dk osx x 3 m/s gS fn'kk ugha cnyrhA 25 gm xs an dk osx fdruk gksxk xk \ (A) 5 m/s (B) 3 m/s (C) 4 m/s (D) 2 m/s
PAGE NO.# 8
Q.51 We can get get a triangular triangular shadow on a wall due to which of the following objects (A) A new unsharpened unsharpene d camlin flora fl ora HB pencil (B) Square base pyramid (C) A typical typical Suitcase Su itcase (D) A typical iron bucket whose base is i s smaller than its mouth (frustum).
Q.51 fuEu es a ls fdl oLrq dh fnokj ij cuus okyh Nk;k
Q.52 Q.52 If we express express the size of a typical typical bed as -b a × 10 sq Km where a is a number between bet ween 1 and 10 then b is (A) 6 (B) 5 (C) 8 (D) 9
Q.52 ;fn fdlh fcNkou dk vkdkj a × 10-b oxZ fdyks ehVj ehVj gS tgk¡ 1 < a < 10 rd b gksxkA xkA (A) 6 (B) 5 (C) 8 (D) 9
Q.53 The diagram diagram shows a horizon horizontal tal beam beam of electrons electrons entering a region between two charged plates.
DVªkWu che dks nks vkosf'kr f'kr IysV ds chp vkrk Q.53 fp= es a bysDVª
+
+
+
+
+
+
+
f=Hkqtkdkj gksxkA xkA bZ dseyhu eyhu ¶yks jk HB isfUly fUly (A) ,d ubZ fcuk fNyh gq bZ (B) oxkZdkj vk/kkj dh fijkfeM Vds l (C) ,d lk/kkj.k lw Vds gs dh ckYVh ftldk vk/kkj mlds eq[k ls (D) ,d yksgs NksVk Vk gSA
fn[kk;k x;k gSA
Electric field line
Electron beam
+
+
+
+
+
+
+
–
–
–
–
–
–
–
Electric field line
Electron beam
–
–
–
–
–
–
–
In which direction is the electron beam deflected? (A) upwards (B) downward (C) into the page (D) out of the page
bysDVª DVª kWu fdl fn'kk es a eqM sxkA +xkA (A) Åij (B) uhps a Hkhrj (C) ist es (D) ist ls ckgj
Q.54 The approxima approximate te force force of gravitation gravitational al attraction attraction between you and your neighbor sitting 1m away is 11 (A) 10 11 N (B) 10 7 N (C) 10 3 N (D) 1 N
Q.54 vki vkSj vkids 1m nw j cSBs fe= ds chp yxus okys
Q.55 Which Which of the following following is an incorr incorrect ect statemen statement. t. (A) The weight of a body depends on its distance from earth. (B) The mass of a body depends on its distance from earth. (C) The weight of a body depends on mass of earth. (D) The weight of a body depends on its it s own mass.
ulk dFku lgh ugha gSA Q.55 fuEu es a dkSulk ij fuHkZj gSA (A) oLrq dk Hkkj mlds i`Foh ls nw jh ij fuHkZj gSA (B) oLrq dk nzO;eku mlds i`Foh ls nw jh (C) oLrq dk Hkkj i`Foh ds nzO;eku ij fuHkZj gSA (D) oLrq dk Hkkj mlds nzO;eku ij fuHkZj gSA
–
–
–
CODE : A
xq:Rokd"kZ.k cy dk eku yxHkx fdruk gks xk\ xk\ 11 11
–
(A) 10 (C) 10
3
–
N N
(B) 10 7 N (D) 1 N –
PAGE NO.# 9
Q.56 On which which of the faces faces does does the liquid not not exert a force.
Q.56 fdl i`"B ij nzo cy ugha yxk jgkA K
K F
A
F
A
G
G
H H E
I E
D
C
(A) DCJI (C) AFGK
D J
J B
I
(B) DIHE (D) ABCDEF
B
C
(A) DCJI (C) AFGK
(B) DIHE (D) ABCDEF
Q.57 Which Which of the followin following g instrumen instruments ts is not based based on the Archimedes principle ? (A) Lactameter (B) Submarine (C) Hydrometer (D) Barometer
Q.57 fuEu es a dkSulk midj.k vkdZesMhl Mhl ds fl)kUr ij
Q.58 Q.5 8 What is the work work to be done to increase increase the velocity of a car from 30km/hr to 60 km/hr. The mass of the car is 1500 kg (A) 143225 J (B) 156250 J (C) 187625 J (D) None of these
Q.58 ,d dkj dh pky dks 30km/hr ls 60 km/hr djus es a fdruk dk;Z djuk gksxk xk \ dkj dk nzO;eku O;eku 1500 kg gSA (A) 143225 J (B) 156250 J bZ ugha (C) 187625 J (D) bues a ls dksbZ
Q.59 A boy of mass 50 50 kg runs runs up a staircase staircase of 45 steps steps in 9 sec. If the height of each step is 15 cm, find power. Take Take g = 10 m/s 2. (A) (A) 425 425 W (B) (B) 375 375 W (C) (C) 22 225 W (D) 525 525 W Q.60 The pressure pressure variation due to a propagating propagating sound wave is plotted plott ed in graph below. p
A
D
Q.60 /ofu ds izxeu es a nkckUrj vkSj le; dk xzkQ uhps fn;k
x;k gSA A
t
C
(A) A & C are compression and B & D are rarefractions. (B) A is compression compressio n and C is rarefaction. rarefacti on. (C) A is rarefaction rarefacti on and C is compression compr ession (D) A & C are rarefactions and B & D are compression. Q.61 Q.6 1 Which of the following following rays rays always always retraces retraces its path after reflection from a spherical mirror (A) Ray passing through focus (B) Ray passing through centre of curvature (C) A ray parallel to principal axis (D) A ray incident at the t he pole
(B) iuMqCch ehVj (D) cSjksehVj
dk 45 dne okyh lh<+ h ij 9 lsd.M d.M es a p<+ rk gS A Q.59 ,d yM+dk izR;sd dne dh Å¡pkbZ 15 cm gS rks mldh 'kfDr D;k gksxhA xhA g = 10 m/s2 ekuks aA (A) (A) 42 425 W (B) (B) 375 375 W (C) (C) 225 225 W (D) 525 525 W
p
B
CODE : A
vk/kkfjr ugha gSA DVk feVj (A) ysDVk es hVj (C) gkbMªkehVj
D
B
t
C
ihMu rFkk B & D fojyu gSA (A) A & C laihMu ihMu vkSj C fojyu gSA (B) A laihMu ihMu gSA (C) A fojyu vkSj C laihMu ihMu gSA (D) A & C fojyu vkSj B & D laihMu ykdkj niZ.k .k ls ijkofrZr gksdj dj Q.61 fuEu es a dkSuls fdj.k xksykdkj vius iqjkus iFk ij okil ykSV vk,xkA dl ls tkus okyh fdj.k (A) Qksdl (B) oØrk ds Unz ls xqtjus okyh fdj.k (C) eq[; v{k ds lekukUrj fdj.k (D) /kzqo ij vkus okyh fdj.k PAGE NO.# 10
Q.62 An object object of height height 4 cm cm is placed placed in front front of a concave mirror of focal length 15.0 cm at a distance dist ance of 25 cm from it. At what distance from the mirror should we keep a screen so that a sharp image is obtained on the screen. (A) 42.5 cm (B) 28.5 cm (C) 37.5 cm (D) 25 cm
eh Å¡ph oLrq ,d vory niZ.k ftldk Qksdl dl Q.62 ,d 4 lseh nw jh 15.0 cm gS] ds lkeus 25 cm ij j[kk x;k gSA niZ.k
Q.63 The velo velocity city of the ligh lightt rays rays in 1st medium is v1 and and the velocity of light rays in second medium is v 2. Then
dk'k fdj.k dh Øe'k% izFke vkSj f}rh; Q.63 ;fn v1 vkSj v2 izdk'k
ls fdruh nw jh ij inkZ j[kk tk, ftlls izfrfcEc ml ij ik;k tk ldsA (A) 42.5 cm (C) 37.5 cm
(B) 28.5 cm (D) 25 cm
ek/;e es a osx gS rks
i i
v1
v1 r
(A) v1 sin i = v2 sin r (C) v1 cos i = v2 cos r
(B) v2 sin i = v1 sin r (D) v2 cos i = v 1 cos r
v2
r
v2
(A) v1 sin i = v2 sin r (C) v1 cos i = v 2 cos r
(B) v2 sin i = v1 sin r (D) v2 cos i = v1 cos r
Q.64 One half half of the lens is painted painted black. black. The image is is (A) reduced in size (B) increased in size (C) reduced in brightness (D) increased in brightness
a dks dkys jax es a jax fn;k tk, rks izfrcEc Q.64 ;fn vk/kh yS l (A) vk/kh gks tk,xhA (B) cM+ h gks tk,xhA (C) ped de gks tk,xhA (D) ped c<+ tk,xhA
Q.65 Q.6 5 The diagram diagram shows shows a straight wire carrying carrying current current i in a uniform magnetic field. The magnetic force on the wire is indicated indi cated by an arrow but the magnetic field is not shown. Of the following possibilities, the direction of the magnetic field is :
Q.65 ,d /kkjk okyh rkj pqEcdh; {ks = es a xqtjrk gqvk fp= es a fn[kk;k x;k gSA rkj ij yxus okyk pq Ecdh; Ecdh; cy (F) dh
fn'kk fp= es a gS rks pqEcdh; E cdh; {ks = dh la Hko Hko fn'kk gksxhA xhA i
i
F
F
(A) opposite the direction of the current (B) opposite the direction of F (C) in the direction of F (D) out of the page
Q.66 Select Select the correct correct state statement ment : (A) For a myopic eye, the near point comes closer to the eye than normal eye. (B) For a myopic eye, the near point goes farther f arther than the normal eye. (C) For a myopic eye, the far point comes closer than the normal eye. (D) For a myopic eye, the far point goes farther than the normal eye.
CODE : A
(A) /kkjk ds foijhr (B) cy F ds foijhr (C) cy F dh fn'kk es a (D) ist ls ckgj dh rjQ
"k okyh vk¡[k [k ds fy, lgh dFku gSA Q.66 fudV n`f"V nks"k {kk utnhd vk (A) fudV fcUnq lkekU; vk¡[k dh vis {kk tkrh gSA {kk nw j pyh tkrh (B) fudV fcUnq lkekU; vk¡[k dh vis {kk gSA fcUnq lkekU; vk¡[k dh vis{kk {kk utnhd vk (C) nw jLFk tkrh gSA fcUnq lkekU; vk¡[k dh vis {kk nw j pyh tkrh (D) nw jLFk gSA PAGE NO.# 11
Q.67 A glass glass prism prism can can be used to (A) disperse as well as deviate white light (B) disperse but not deviate white light (C) deviate but not disperse white light (D) Neither deviate nor disperse white light
Q.67 dk¡p dk fizTe dk'k ds mtyh fdj.k dks fopfyr vkS j o.kZ foHkkftr (A) izdk'k
Q.68 A 60-watt 60-watt light bulb carries a current current of 0.5A. 0.5A. The total charge passing through it in one hour is: (A) 120C (B) 3600C (C) 3000C (D) 1800C
Q.68 ,d 60 okWV okys cYc ls 0.5A dh fo|qr /kkjk izokfgr
Q.69 Five cylindri cylindrical cal wires wires are made of the same same material. Their lengths and radii are 1: length L, radius r 2: length L/4, radius r/2 3: length L/2, radius r/2 4: length L, radius r/2 5: length 5L, radius 2r Rank the wires according to their resistances, resist ances, least to greatest. (A) 1, 2, 3, 4, 5 (B) 5, 4, 3, 2, 1 (C) 1 and 2 tie, then 5, 3, 4 (D) 1, 3, 4, 2, 5
yukdkj rkj ,d inkFkZ ls cus gSA mudh yEckbZ;k¡ Q.69 ik¡p csyukdkj
Q.70 An ordinar ordinary y light light bulb is marked marked “60W, 120V”. Its resistance is: (A) 60 (B) 120 (C) 180 (D) 240
nksuks u aks dj ldrk gSA (B) o.kZ foHkkftr dj ldrk gS fopfyr ugha (C) fopfyr dj ldrk gS o.kZ foHkkftr ugha (D) uk fopfyr vkS j uk gh o.kZ foHkkftr dj ldrk gSA gks jgh gSA mlls ,d ?kaVsVs es a xqtjus okys vkos'k 'k dk eku gksxkA (A) 120C (C) 3000C
(B) 3600C (D) 1800C
vkSj f=T;k,s a Øe'k% gSa 1: yEckbZ L, f=T;k r 2: yEckbZ L/4, f=T;k r/2 3: yEckbZ L/2, f=T;k r/2 4: yEckbZ L, f=T;k r/2 5: yEckbZ 5L, f=T;k 2r rkjks a dks c<+ rs izfrjks/k/k ds Øe es a fy[kksA (A) 1, 2, 3, 4, 5 (B) 5, 4, 3, 2, 1 rc 5, 3, 4 (C) 1 vkSj 2 ,d leku , rc (D) 1, 3, 4, 2, 5 Q.70 ,d lk/kkj.k izdk'k cYc ij “60W, 120V ” fy[kk gSA
mldk izfrjks /k/k gksxkA xkA (A) 60 (C) 180
(B) 120 (D) 240
Q.71 A total total resist resistanc ancee of 3.0 is to be produced by combining an unknown resistor R with a 12 resistor. What What is the value of R and how is it to be connected to the 12 resistor? (A) 4.0 , parallel (B) 4.0 , series (C) 2.4 , parallel (D) 2.4 , series
y 3.0 dk ,d izfrjks frjks/k /k R dks dks 12 ds lkFk lek;ksftr ftr Q.71 dqy dj cuk;k tkrk gSA R dk eku vkS j lek;ks tu dk rjhdk
Q.72 An escalato escalatorr is used to move 20 20 people people (60 kg each) per minute from the first floor of a department store to the second floor, 5m above. Neglecting friction, the power required is approximately:
yVj Vs j ) dks nqdku d ku es a izFke Fke ry Q.72 ,d fo|q r pfyr lh<+ h (,Ldsys ls f}rh; ry tks fd 5m Åij gS] ds ry rd 60 kg Hkkj okys 20 O;fDr;ks a dks ,d feuV es a ys tkus ds
gksxk lekukUrj (A) 4.0 , lekukUrj lekukUrj (C) 2.4 , lekukUrj
fy, LFkkfir fd;k x;k gSA ;fn ?k"kZ .k .k dks vuqifLFkr eku ys rks bl dk;Z ds fy, vko';d 'kfDr gks xhA xhA
5m 30° 30°
(A) 100W (C) 1000W CODE : A
.kh (B) 4.0 , Js.kh .kh (D) 2.4 , Js.kh
5m 30° 30°
(B) 200W (D) 2000W
(A) 100W (C) 1000W
(B) 200W (D) 2000W
PAGE NO.# 12
Q.73
Q.74
Q.75
Q.76
A currenc currency y countin counting g machine machine counts counts 6 lakh lakh notes notes per day. A bank has as many notes as number of hydrogen atoms in 24.8 gm of Na 2S2O3. 5H2O. Number of days would be required to count these notes are (approx.) (A) 8 × 1017 (B) 7 × 1010 (C) 6 × 1023 (D) 1018
Sele Select ct the the corr correc ectt state stateme ment nt:: (A) Mixture never have uniform composition throughout. (B) Alloys Alloys are compound of two or more metals as these can not be separated into their components by physical methods. (C) The particles of a solution are smaller than 1 nm in diameter (D) The particles of a suspension do not scatter a beam of light passing through it.
Sele Select ct the the corr correc ectt state stateme ment nt:: (A) If dispersed phase is gas & dispersing medium is liquid then colloid is known as aerosol. (B) Face cream is example of emulsion (C) Particles Parti cles in steam have same energy as that of liquid water at same temperature. (D) During burning burning of a candle only physical change takes place.
Calculat Calculatee the the number number of oxy oxygen gen atoms atoms in in 6.84 6.84 gm Al2(SO4)3 (A) 12 × 10 2 (B) 12 NA (C) 0.12 NA (D) 0.24 NA
Q.73
(A) 8 × 1017 (C) 6 × 1023
Q.78
Ratio Ratio of of maxim maximum um numb number er of of elect electro rons ns pre prese sent nt in N shell to L shell. (A) 2 (B) 4 (C) 8 (D) 16 Heat 2FeSO4 (s)
Products of above reaction are (A) Fe2O3 (s) + SO2 (g) (B) Fe2O3(s) + SO2(g) + SO3 (g) (C) FeSO3 (s) + O2 (g) (D) FeO (s) + SO 2 (g) CODE : A
(B) 7 × 1010 (D) 1018
Q.74 lgh dFku pqfu,A (A) feJ.k d “ “ h Hkh lea kxh ugha gks rk gSA (B) feJ /kkrq,¡ nks ;k vf/kd /kkrqv aks dk ;kSfxd gS] tks
kSfrd fof/k;ks a ls muds okLrfod vo;oks es a i`Fkd ugha fd, tk ldrsA (C) fdlh foy;u ds d.kks a dk O;kl 1 us uks uks ehVj ls de gks rk gSA (D) fdlh LFkxud ds d.k mues a ls xqtjus okys çdk'k dks foLrj.k ugha djrs A “
Q.75 lgh dFku pqfu,A (A) ;fn foLrj.k voLFkk xS l vkS j foLrkfjr ek/;e nz o
gS] rc dksykbM ykbM voLFkk dks ,jks lkWy dgs axs xAs gjs ij yxkbZ tkus okyh Øhe beY'ku dk mnkgj.k (B) psgjs gSA (C) leku rkieku ij] ty ok"i es a mifLFkr d.kks a dh ÅtkZ ty (nzo ) es a mifLFkr d.kks a dh ÅtkZ ds leku gks rh gSA ecÙkh ds tyus ij ds oy “ kSfrd ifjorZu gks rk (D) eksecÙkh gSA Q.76
v aks dh l[a;k ;k 6.84 xz ke Al2(SO4)3 es a vkDlhtu ijek.kq vks gksxhA
(A) 12 × 10 2 (C) 0.12 NA –
–
Q.77
,d uksV fxuus okyh e'khu çfrfnu 6 yk[k uksV fxurh gSA ,d cSa d es a uksVks V aks dh la[;k] [;k] 24.8 xzke Na2S2O3. t s u ijek.kqv aks dh la[;k [;k ds cjkcj gSA 5H2O es a s gkbMªktu bu uksVks V aks dks fxuus es a yxus okys fnuks a dh yxHkx la[;k [;k gksxh xh –
Q.77
(B) 12 NA (D) 0.24 NA
DVªkuks a dh N d{k ,a o L d{k es a mifLFkr vf/kdre bysDVª la[;k [;k dk vuqikr gksxkA xkA (A) 2 (C) 8
Q.78
(B) 4 (D) 16
Å" ek 2FeSO4 (Bks l )
mijksDr Dr vf fØ;k es a mRikn gksxs x aAs “ fØ;k (A) Fe2O3 (Bks l ) + SO2 (xSl) (B) Fe2O3(Bks l ) + SO2(xSl) + SO3 (xSl) (C) FeSO3 (Bks l ) + O2 (xSl) (D) FeO (Bks l ) + SO2 (xSl) PAGE NO.# 13
Q.79
Q.80
Q.81
For For the give given n reacti reaction on ; select select corr correc ectt statem statemen ent. t. MnO2 + 4HCl (A) H2O is one of product of above reaction (B) HCl is reduced to Cl2 (C) MnO2 is oxidised to MnCl 2 (D) Two substances are produced from above reaction
Q.79
For For the the give given n rea react ctio ion, n, H2O + Cl2 + H2S H2SO4 + HCl The correct statement is (A) The mole ratio between Cl2 & H2S is 2 : 1 in balanced reaction (B) 1 mole of H2SO4 is produced from 2 moles of Cl2 (C) The mole ratio of H2O & H 2S is 4 : 1 in balanced reaction (D) 4 moles of H 2O are required to produce 4 moles of HCl
Q.80
For the given given reactio reaction; n; select select corre correct ct state statement ment..
Q.81
is A(aq) + Cl (g) + B(g) NaCl(aq) + H2O(l) electrolys 2
MnO2 + 4HCl Dr vf fØ;k es a H2O ,d mRikn gksxkA xkA (A) mijksDr “ fØ;k
xhA (B) HCl ds vip;u ls Cl2 xSl cusxhA dj MnCl2 nsxkA xkA (C) MnO2 vkDlhÑr gksdj Dr vf fØ;k es a nks inkFkZ mRikfnr gksxa x sAa (D) mijksDr “ fØ;k
Q.83
2 : 1 gSA (B) 1 eksy y H2SO4 ds mRiknu gs rq 2 eksy y Cl2 dh
vko';drk gSA f yr vf fØ;k es a eksy vuq ikr ikr (C) H2O ,a o H2S dk la rqfyr “ fØ;k 4 : 1 gSA y HCl ds mRiknu gs rq 4 eksy y H2O dh (D) 4 eksy vko';drk gSA nh xbZ vf fØ;k ds fy, lgh dFku gSA “ fØ;k
| r q vi?kVu A(aq) + Cl (g) + B(g) NaCl(aq) + H2O(l) fo 2
(A) dSFkksM ij Cl2 xSl ,a o ,uksM ij xSl 'B' dk
mRltZu gks rk gSA (B) mRikn 'A' ds foy;u es a ;fn uhyk fyVel foy;u Mkys a rks og yky gks tkrk gSA (C) xSl 'B' O2 xSl gSA (D) xSl 'B' ds ,d v.kq dk nzO;eku 2 'u' gSA
Selec Selectt the meta metall which which can can be be obtai obtaine ned d from from their their oxides by heating with carbon: (A) Na (B) Zn (C) Mg (D) Ca
Q.82
The consti constitue tuents nts metal-no metal-nonme nmetal tal atoms atoms ratio ratio in in Barium phosphate is (A) 2 : 15 (B) 2 : 3 (C) 3 : 10 (D) 15 : 2
Q.83
CODE : A
nh xbZ vf fØ;k ds fy, lgh dFku gSA “ fØ;k H2O + Cl2 + H2S H2SO4 + HCl The correct statement is (A) Cl2 ,a o H2S dk la rqfyr f yr vf “ fØ;k fØ;k es a eksy vuq ikr ikr
(A) Cl2 gas is released at cathode cat hode and gas 'B' is released at anode (B) If blue litmus solution is i s added to solution of product 'A', it turns red. (C) Gas 'B' is O2 gas (D) Mass of one molecule of gas 'B' is 2 'u'.
Q.82
nh xbZ vf fØ;k ds fy,] lR; dFku dks pqfu,A “ fØ;k
dkcZu ds lkFk xeZ djus ij dkSu lh /kkrq mlds /kkrq vkDlkbM ls /kkrq :i es a çkIr dh tk ldrh gSA (A) Na (C) Mg
(B) Zn (D) Ca
csfj;e fj;e QkLQsV es a mifLFkr /kkrq – v/kkrq ijek.kqv aks dk vuqikr gSA (A) 2 : 15 (C) 3 : 10
(B) 2 : 3 (D) 15 : 2
PAGE NO.# 14
Q.84 Q.84
For a giv giveen equ equaation tion
Q.84
nh xbZ lehdj.k ds fy,]
an 2 P 2 (V nb) nRT [P is pressure in V
an 2 P 2 (V nb) nRT [P nkc gS V
atm’; V is volume in ‘litre’; n is ‘mol’; T is atm ‘temperature’ in ‘Kelvin’; R is gas constant in‘atm litre K 1 mol 1’] then the units for "a" and "b" respectively are (A) atm L2 mol 2 ; L mol 1 (B) atm L 2 mol2 ; L mol 1 (C) atm L2 mol 2; L 1 mol (D) None of these is correct
‘
‘
–
atm’ es a ; V vk;ru gS
‘ ’ gS ‘Kelvin’es T rki a ; R xS l fu;rka d gS ‘atm litre
–
–
es a ] "a" vkSj "b" ds fy, Øe'k% ek=d bdkbZ gksxhA xhA 1
–
mol
’
(A) atm L2 mol 2 ; L mol 1 (B) atm L 2 mol2 ; L mol 1 (C) atm L2 mol 2; L 1 mol –
–
–
1
–
K
–
–
–
–
–
–
–
–
bZ ughaA (D) fuEu es a ls dksbZ fuEu vf fØ;k ds lan n“ Z es a 12.25 xzke KClO3 dks xeZ “ fØ;k “ djus ij mlds “ kj es deh 0.32 xz ke gks ]
On bein being g hea heate ted d 12. 12.25 25 g of of KCl KClO O3 shows a weight loss of 0.32 g according to following reaction. KClO3 (s) KCl(s) + O2 (g) What percent of original KClO 3 h as decomposed? (A) 6.66 % (B) 7.66 % (C) 8.66 % (D) 5.66 %
Q.85
Q.86
Selec Selectt the the inco incorre rrect ct state stateme ment. nt. (A) The oxide of last element element of 2nd period in periodic table is called difluorine oxide (B) H2O2 is a liquid at room temperature. (C) Sodium metal dissolved in liquid ammonia give blue coloured solutions (D) The molecular formula of the third member of olefin series is C4H8.
Q.86
Q.87
Sele Select ct the the corr correc ectt stat statem emen ent. t. (A) The formula of lead sulphate is PbSO 4 and that of calcium phosphate is Ca3(PO4)2. Then the formula of lead phosphate is PbPO 4. (B) The given compound
Q.87 lgh dFku dks pqfu,A
Q.85
OH
KClO3 (s) KCl(s) + O2 (g)
rks fdrus çfr'kr KClO3 dk vi?kVu gqvk gS \ (A) 6.66 % (C) 8.66 %
(B) 7.66 % (D) 5.66 %
vlR; dFku gSA fre vo;o dk (A) vkorZ lkj.kh es a f}rh; vkorZ ds vafre vkDlkbM Mkb¶yks jhu vkDlkbM gSA (B) H2O2 dejs ds lkekU; rki ij ,d nzo gSA lksfM;e fM;e /kkrq ds nz oh; veks fu;k es a feyus ls foy;u (C) lks uhyk gks tkrk gSA [kyk ds rhljs lnL; dk vkf.od lw = (D) vkyhQhu Ja[kyk C4H8 gSA PbSO4 rFkk dfYl;QkLQs rFkk dfYl;QkLQsV V (A) ysM lYQsV dk lw = dk lw = Ca3(PO4)2] rc ysM QkLQsV dk lw = PbPO4 gks rk gSA (B) fn;k x;k ;kSfxd OH
CO
CO
is a sunburn HO
prevention agent. The functional group present in this is only – OH OH (C) Isotopes have identical chemical properties and the charges on ionised species were also exactly the same. (D) Lewis symbol for F, Cl, Br, I atoms are not identical. CODE : A
litre’ es a ; n‘mol’gS;
‘
çdk'kh; Toyu
HO
çfrck/kd dkjd gSA ;kSfxd es a ds oy – OH OH fØ;k lew g g mifLFkr gSA .k leku gks rs gS ,a o (C) leLFkkfudks a ds jklk;fud xq .k mudh vkos f'kr f'kr vk;fud la jpuvks a es a vkos'k 'k “ h fcYdqy ,d leku gks rs gSA fol çrhd (D) F, Cl, Br, I ds ijek.kqv aks ds fy, ysfol ,d tSls ugha gks rs gSA PAGE NO.# 15
Q.88
,d ;kSfxd ftldk] rRo "A" (iñ ekñ 10) 50% ds nzO;eku O;eku ,a o rRo "B" (iñ ekñ 20 ) 50% ds nzO;eku O;eku dk lkekU; lw = gksxkA xkA
The The simple simplest st formu formula la of of a compou compound nd con contai tainin ning g 50% by mass of element "A" "A" (at. wt. 10) and and 50% by mass of element "B" ( at. wt. 20 ) is (A) A2B (B) AB (C) A2B2 (D) A2B3
Q.88
Q.89
A bottl bottlee contai contains ns a colo coloure ured d compo compound und.. Ana Analy lysis sis of the contents shows the presence of 0.3 mol of Fe and 0.4 mol of oxygen atoms. Then select incorrect statement about the analysis. (A) The gms of compound in the bottle are 23.2 gm (B) The weight % of Fe is 72.4 in the compound. (C) The moles of compound in the bottle are 0.2 (D) None of these
Q.89
,d cks ry es a jaxhu xhu ;kSfxd fxd “ jk gS A mifLFkr vo;ok dh x.kuk n'kkZrh gS fd ;kSfxd es a 0.3 eksy y Fe ,a o 0.4 eksy y vkDlhtu ds ijek.kq gSaA bl x.kuk ds fy, fuEu es a ls vlR; dFku gksxkA xkA (A) cks ry es a mifLFkr ;kSfxd dk “ kj 23.2 xzke gSA (B) ;kSfxd es a Fe dk “ kj % 72.4 gSA (C) cks ry es a ;kSfxd ds 0.2 eksy mifLFkr gSA Dr es a dksbZbZ ughaA (D) mijksDr
Q.90
The The eleme elements nts in whic which h of the the foll followi owing ng have have the most nearly the same atomic radius. (A) Be, B, C, Na (B) O, F, N, P (C) Mg, Ca, Al, Si (D) Fe, Co, Cr, Mn
Q.90
fuEu rRoks a ds lew gks g aks es a fdl lew g es a rRoks a dh ijek.kq f=T;k,a fcYdqy ,d tSlh çrhr gks rh gSa A
CODE : A
(A) A2B (C) A2B2
(B) AB (D) A2B3
(A) Be, B, C, Na (B) O, F, N, P (C) Mg, Ca, Al, Si (D) Fe, Co, Cr, Mn
PAGE NO.# 16
ANSWER KEY
Q. 1 Q. 8 Q.15 Q.22 Q.29 Q.36 Q.43 Q.50 Q.57 Q.64 Q.71 Q.78 Q.85
D C B D D A C C D C A B A
CODE : A
Q. 2 Q. 9 Q.16 Q.23 Q.30 Q.37 Q.44 Q.51 Q.58 Q.65 Q.72 Q.79 Q.86
D D A C D A D B B D C A A
Q. 3 Q.10 Q.17 Q.24 Q.31 Q.38 Q.45 Q.52 .59 Q.66 Q.73 Q.80 Q.87
C D B A A D A A B C D C C
(ACME) 23-05-2010 Q. 4 C Q. 5 Q.11 B Q.12 Q.18 C Q.19 Q.25 C Q.26 Q.32 A Q.33 Q.39 B Q.40 Q.46 D Q.47 Q.53 A Q.54 Q.60 B Q.61 Q.67 A Q.68 Q.74 C Q.75 Q.81 D Q.82 Q.88 A Q.89
A C D B C B B B B D B B C
Q. 6 Q.13 Q.20 Q.27 Q.34 Q.41 Q.48 Q.55 Q.62 Q.69 Q.76 Q.83 Q.90
D C A B D A A B C C D C D
Q. 7 Q.14 Q.21 Q.28 Q.35 Q.42 Q.49 Q.56 Q.63 Q.70 Q.77 Q.84
C B C A B A A C B D B A
PAGE NO.# 17
