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2025
MODEL
PAPERS
JAC BOARD JHARKHAND
EXAM ACADEMIC
COUNCIL MODEL
PREPARATION QUESTION
PAPER 2025
JHARKHAND ACADEMIC COUNCIL
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झारखण्ड शैक्षिक अनुसंधान एवं प्रक्षशिण पररषद,् रााँची
Model Question Paper (प्रक्षिदशश प्रश्न पत्र)
(2024 - 2025)
MCQ BASED QUESTIONS
(बहु विकल्प-आधारित प्रश्न)
Class – 08 Subject – Mathematics F. M. – 50 Time 1 Hour
(पूिाांक – 50)
(कक्षा – 08) (विषय – गवित) (समय – 1 घंटा)
INSTRUCTIONS/विर्देश :
There are 50 Multiple Choice Questions.
कु ल 50 बहु विकल्प-आधारित प्रश्न हैं ।
All Questions are compulsory. Each question carries 1 mark.
सभी प्रश्नों के उत्ति अवििार्य है। प्रत्र्ेक प्रश्न के वलए एक अंक विधायरित है।
Four options are given for each question, choose one of the correct option.
प्रत्र्ेक प्रश्न के चाि विकल्प दिए गए हैं, इिमे से एक सही विकल्प का चर्ि किें।
There is no negative marking for any wrong answer.
गलत उत्ति के वलए कोई अंक िहीं काटे जाएंगे।
1- 5 dk xq.kkRed izfrykse ¼O;qRØe½ gksxk&
The multiplicative inverse of 5 will be-
−1
(a) −5 (b)
5
5 1
(c) (d)
−1 5
7
2- xq.kuQy 1 izkIr djus ds fy, dks fdlls xq.kk djuk gksxk\
23
7
What should be multiplied by to get the product 1 ?
23
−7 −23
(a) (b)
23 7
23 7
(c) (d)
7 −23
3- fuEufyf[kr esa ls dkSu oxZ la[;k ugha gS\
Which of the following is not a square number?
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(a) 12 (b) 121
(c) 12321 (d) 1234321
4- 441 ,oa 484 ds chp fdruh iw.kZ oxZ la[;k gSa\
How many perfect square numbers are there between 441 and 484?
(a) ‘kwU; (0) (b) ,d (1)
(c) nks (2) (d) rhu (3)
5- ,d oxkZdkj Q’kZ ftldh ,d fdukjk 5 eh0 gSA rks mlds Q’kZ dk {ks=Qy ------------ gksxkA
A square floor whose one side is 5 m. Then the area of its floor will be..........
(a) 5 eh0 (b) 25 eh0
(c) 25 oxZ eh0 (d) 25 oXkZ bdkbZ
6- ¼&7½3 dk eku D;k gksxk\
What will be the value of (-7)3 ?
(a) −243 (b) 343
(c) 143 (d) −343
7- 2× 2 ×2×3×3×3×4×4×4 dk ?kuewy D;k gksxk\
What will be the cube root of 2× 2 ×2×3×3×3×4×4×4 ?
(a) 2 (b) 3
(c) 4 (d) 24
a am ds fy, m dgykrk gS%&
8- ,d iw.kkZd
For an integer am , m is called:-
(a) vk/kkj (base) (b) vpj (constant)
(c) pj (variable) (d) ?kkrkad (Exponent)
2
9- dk xq.ku O;RØe gS%&
3
2
The multiplicative inverse of is :-
3
−2 2
(a) (b)
3 3
3 −3
(c) (d)
2 3
m m
10- a × b ds cjkcj gksxk%&
am × bm will be equal to:-
(a) (a+b)m (b) (a+b)2m
(c) (ab)2m (d) (ab)m
11- ;fn 4A + B3 = 55 rks A vkSj B ds eku Øe’k% gS%a &
If 4A + B3 = 55 then the values of A and B are respectively:-
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(a) A = 2, B = 3 (b) A = 2, B = 1
(c) A = 1, B = 2 (d) A = 3, B = 2
12- ;fn 234x la[;k 6 ls foHkkT; gks] rks x dk eku gksxk%&
If the number 234x is divisible by 6, then the value of x will be:-
(a) 3 (b) 6
(c) 9 (d) 5
4
13- x2 dk la[;kRed xq.kkad gSA
7
4 2
The numerical coefficient of x is
7
(a) 4 (b) 7
4
(c) (d) 4x2
7
14- (a+b) (a+b) dk eku gksxk%&
The value of (a+b) (a+b) will be:-
(a) a2-b2 (b) a2+b2
(c) (a+b)2 (d) (a-b)2
15- (a+2)2 dk eku gksxk%&
Expanssion of (a+2)2 are:-
(a) a2+4 (b) a2-4
(c) a2+ 2ab + 4 (d) a2+4a+4
16- 5a2b dk lkoZ xq.ku[kaM gS%&
All factors of 5a2b are:-
(a) 5x a2x b (b) 5xaxaxb
(c) 5xaxb2 (d) 5xaxaxa
17- ………… dk xq.ku[kaM (x+a (x+b) gS%&
The factor of (x+a) (x+b) is:-
(a) x2+(a+b)x+ab (b) x2-(a-b)(x-ab)
(c) x2-(a+b)x+ab (d) x2+(a-b)x+ab
18- ,d jSf[kd lehdj.k ds fdrus gy gks ldrs gS\
How many solutions can a linear equation have?
(a) ,d (1) (b) nks (2)
(c) ‘kwU; (0) (d) rhu (3)
19- 5x+7=2x+8 lehdj.k dk gy D;k gS\
What is the solution of the equation 5x+7=2x+8 ?
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1 −1
(a) 𝑥= (b) 𝑥=
3 3
(c) 𝑥=3 (d) 𝑥=1
20- 50 vkeksa ds lewg esa 40% vke ids gq, gS]a ids gq, vkeksa dh la[;k fuEufyf[kr esa
gksxh%&
In a group of 50 mangoes, 40 % mangoes are ripe, the number of ripe mangoes will be
among the following:-
(a) 40 (b) 50
(c) 30 (d) 20
21- cV~Vk izfr’kr oLrq ds ------------------- ij ifjdfyr fd;k tkrk gSA
(a) foØ; ewY; (b) Ø; ewY;
(c) vafdr ewY; (d) vfrfjDr O;;
Discount percentage is calculated on the ........ of the item.
(a) selling price (b) cost price
(c) face value (d) additional expenditure
𝑥
22- = 𝑘 es k dks dgrs gS%&
𝑦
(a) xq.kkad (b) HkkxQy
(c) fLFkjkad (d) buesa ls dksbZ ugha
𝑥
= 𝑘 where k is called-
𝑦
(a) coefficient (b) quotient
(c) constant (d) None of these
23- ;fn x vkSj y nksuksa izfrykse vuqikr esa gks] rks %&
If x and y both are in inverse proportion, then :-
𝑦
(a) 𝑥 = 𝑘𝑦 (b) 𝑥=
𝑘
𝑥
(c) 𝑥𝑦 = 𝑘 (d) =k
𝑦
24- ;fn fdlh prqHkqt
Z ds rhu dks.kksa es ls izR;sd dks.k 90° ds cjkcj gS] rks pkSFkk dks.k gS%&
If each of the three angles of a quadrilateral is equal to 90°, then the fourth one is
(a) 180° (b) 135°
(c) 45° (d) 90°
25- fuEu esa ls fdl prqHkqt
Z ds fy, fod.kZ cjkcj gksrs gSa\
(a) leyac (b) leprqHkqZt
(c) lekarj prqHkqZt (d) vk;r
For which of the following quadrilateral the diagonals are equal ?
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(a) trapezium (b) rhombus
(c) Parallelogram (d) rectangle
26- fdlh “kM~Hkqt ds dks.kksa dk ;ksx fdruk gksrk gS\
What is the sum of the angles of a hexagon ?
(a) 180° (b) 360°
(c) 540° (d) 720°
27- fuEu esa ls fdl ls ,d cgqQydh ugha cusxk\
(a) 3f=Hkqt (b) 2f=Hkqt vkSj rhu lekarj prqHkqt
Z
(c) 8f=Hkqt (d) 1iapHkqt vkSj 5f=Hkqt
Which of the following will not form a polyhedron?
(a) 3 triangles (b) 2 triangles and three parallelograms
(c) 8 triangles (d) 1 pentagon and 5 triangles
28- fdl f=foeh; vkdkj esa ‘kh”kZ ugha gksrk gS\
(a) fijkfeM (b) fizTe
(c) ‘kadq (d) xksyk
Which three dimensional shape does not have a vertex?
(a) Pyramid (b) Prism
(c) Cone (d) Sphere
29- vk;r dk {ks=Qy =\
1
(a) 4 x Hkqtk (b) x vk/kkj x ÅapkbZ
2
(c) yackbZ x pkSMk+ bZ (d) 2 x ¼yackbZ $ pkSM+kbZ½
Area of rectangle = ?
1
(a) 4 x side (b) x base x height
2
(c) length x width (d) 2x (length + breadth)
30- oxZ dh ,d Hkqtk dh yackbZ 25 lse
a h gS] rks bldk ifjeki D;k gksxk\
If the length of one side of a square is 25 cm, then what will be its perimeter?
(a) 625 oxZlseh (b) 100 oxZlseh
(c) 5 lseh (d) 100 lseh
31- oSlh vkd`fr ftldh rhu foek,¡ gksrh gS] dSlh vkd`fr dgykrh gSa \
(a) f}foeh; (b) f=foeh;
(c) mi;qZDr nksuks (d) buesa ls dksbZ ugh
What kind of shape is that which has three dimensions called?
(a) Two dimensional (b) three dimensional
(c) Both of the above (d) None of these
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32- x Hkqtk okys ?ku dk i`”Bh; {ks=Qy gksxk%&
The surface area of a cube of side x will be:-
(a) 4x2 (b) 6x2
(c) x2 (d) 61
33- vk¡dM+s 9]8]4]3]2]1]6]4]8]10]12]15]4]3 dk ifjlj gS%&
The range of the data 9,8,4,3,2,1,6,4,8,10,12,15,4,3 is:-
(a) 15 (b) 14
(c) 12 (d) 10
34- x- v{k ls 3 bdkbZ dh nwjh ij rFkk y- v{k ls 6 bdkbZ dh nwjh ij fLFkr fcUnq ds
funsZ’kkad gS%&
Find the coordinate of the point located at a distance of 3 units from the x-axis
and 6 units from the y -axis
(a) (0,3) (b) (6,0)
(c) (3,6) (d) (6,3)
35- 0-0081 dk oxZewy gksxk\
Find the square root of 0.0081.
(a) 9-0 (b) 0-9
(c) 0-09 (d) lHkh
36- nks Øekxr oxZ la[;k ds chp fdruh iw.kZ oxZ la[;k gksrh gS\
How many perfect square numbers are there between two consecutive square
numbers?
(a) 0 (b) 1
(c) 2 (d) vufxur
37- fdl fodYi esa 2@3] 11@15] 5@12 dks vojksgh Øe esa j[kk x;k gS \
In which option 2/3, 11/15, 5/12 are placed in descending order?
(a) 2@3] 5@12] 11@15 (b) 5@12] 2@3] 11@15
(c) 11@15] 2@3] 5@12 (d) 11@15] 5@12] 2@3
38- 5@9 $ ¼&8@9½ dk eku fuEufyf[kr esa D;k gksxk\
What will be the value of 5/9 + (-8/9) in the following?
(a) 13@9 (b) &1@3
(c) 1@3 (d) 3@9
39- ;fn a = -1 vkSj b = 2 gS rks ab x ba dk eku D;k gksxk\
If a = -1 and b = 2 then what will be the value of ab x ba ?
(a) 1@2 (b) 2
(c) &3@2 (d) &1@2
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40- 120° ds dks.k dks dgrs gSa%&
(a) U;wu dks.k (b) ledks.k
(c) vf/kd dks.k (d) iwjd dks.k
An angle of 120° is called: -
(a) acute angle (b) right angle
(c) obtuse angle (d) Complementary angle
41- ^^jkekuqt** dkSu gSa\
(a) oSKkfud (b) thofoKkuh
(c) jlk;ufoKkuh (d) xf.krK
Who is "Ramanuja"?
(a) Scientist (b) Biologist
(c) Chemist (d) Mathematician
42- la[;k abc ds fy, dkSu lgh gS\
Which is correct for the number abc ?
(a) a+b+c (b) a+10b+100c
(c) axbxc (d) 100a+10b+c
43- fuEufyf[kr esa ls dkSu f}inh chth; O;atd gS%&
Which of the following is a binomial algebraic expression:-
(a) x2- 1 (b) 2xy
(c) xy (d) 2x2y
44- ?ku dk dqy i`”Bh; {ks=Qy dk lw= gS%&
The formula for the total surface area of a cube is:-
(a) 2 ℼ rh (b) 2 ℼ r(h+r)
(c) 4l2 (d) 6l2
45- fuEufyf[kr esa /kukRed ifjes; la[;k gS %&
Among the following, a positive rational number is:-
−1
(a) -5 (b)
2
−3 4
(c) (d)
−2 5
46- 32-768 dk ?kuewy D;k gksxk %&
What will be the cube root of 32.768 :-
(a) 3-2 (b) 3-3
(c) 3-5 (d) 3-6
11 −11
47- ÷ (… … . ) = esa fjDr LFkku esa D;k gksxk\
25 25
11 −11
÷ (… … . ) = What will fill in the blank space ?
25 25
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−3 3
(a) (b)
4 4
5 −5
(c) (d)
8 8
48- 0-25 dk oxZey
w gksxk%&
The square root of 0.25 will be :
(a) 5 (b) 5-0
(c) 0-5 (d) 0-25
49- ;fn 2x+3 = 2 gS] rks x dk eku gksxk%&
If 2x+3 = 2, then the value of x will be:-
(a) 4 (b) 8
(c) 3 (d) -2
50- fuEu esa dkSu 3D vkd`fr dk mnkgj.k gS%&
(a) xksyk (b) oxZ
(c) vk;r (d) f=Hkqt
Which of the following is an example of a 3D figure:-
(a) sphere (b) class
(c) rectangle (d) triangle
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Answer Key
Q. Q. Q. Q.
Q. No. Ans Ans Ans Ans Ans
No. No. No. No.
1 d 11 b 21 c 31 b 41 d
2 c 12 b 22 c 32 b 42 d
3 a 13 c 23 c 33 b 43 a
4 a 14 c 24 d 34 d 44 d
5 c 15 d 25 d 35 c 45 d
6 d 16 b 26 d 36 a 46 a
7 d 17 a 27 a 37 c 47 d
8 d 18 a 28 d 38 b 48 c
9 c 19 a 29 c 39 a 49 d
10 d 20 d 30 d 40 c 50 a
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