HBSE Class 10 Question Paper 2024 Mathematics Standard

Haryana Board

QUESTIONPDF

PAPERS
2024

HBSE PYQP

CLASS : 10th (Secondary) Code No. 1103
Series : Sec/Annual Exam.-2024
Roll No. SET : A

xf.kr ¼ekud½
MATHEMATICS (Standard)
(Academic/Open)
[ fgUnh ,oa vaxzsth ek/;e ]
[ Hindi and English Medium ]
(Only for Fresh/Re-appear/Improvement/Additional Candidates)

le; : 3 ?k.Vs ] [ iw.kk±d : 80
Time allowed : 3 hours ] [ Maximum Marks : 80

• Ñi;k tk¡p dj ysa fd bl iz'u&i= esa eqfnzr i`"B 24 rFkk iz'u 38 gSaA
Please make sure that the printed pages in this question paper are 24 in number
and it contains 38 questions.

• iz'u&i= esa nkfgus gkFk dh vksj fn;s x;s dksM uEcj rFkk lsV dks Nk= mÙkj&iqfLrdk ds eq[;&i`"B ij
fy[ksaA
The Code No. and Set on the right side of the question paper should be written by
the candidate on the front page of the answer-book.

• Ñi;k iz'u dk mÙkj fy[kuk 'kq: djus ls igys] iz'u dk Øekad vo'; fy[ksaA
Before beginning to answer a question, its Serial Number must be written.

1103/(Set : A) P. T. O.

(2) 1103/(Set : A)
• mÙkj&iqfLrdk ds chp esa [kkyh iUuk@iUus u NksMas+A
Don’t leave blank page/pages in your answer-book.
• mÙkj&iqfLrdk ds vfrfjDr dksbZ vU; 'khV ugha feysxhA vr% vko';drkuqlkj gh fy[ksa vkSj fy[kk mÙkj u
dkVsaA
Except answer-book, no extra sheet will be given. Write to the point and do not
strike the written answer.
• ijh{kkFkhZ viuk jksy ua0 iz'u&i= ij vo'; fy[ksaA jksy ua0 ds vfrfjDr iz'u&i= ij vU; dqN Hkh u
fy[ksa vkSj oSdfYid iz'uksa ds mÙkjksa ij fdlh izdkj dk fu'kku u yxk,¡A
Candidates must write their Roll No. on the question paper. Except Roll No. do not
write anything on question paper and don't make any mark on answers of objective
type questions.
• d`i;k iz'uksa ds mÙkj nsus lss iwoZ ;g lqfuf'pr dj ysa fd iz'u&i= iw.kZ o lgh gS] ijh{kk ds mijkUr bl
lEcU/k
lEcU/k esa dksbZ Hkh nkok Lohdkj ugha fd;k tk;sxkA
Before answering the questions, ensure that you have been supplied the correct and
complete question paper, no claim in this regard, will be entertained after
examination.

lkekU; funsZ'k %
General Instructions :

(i) bl ç'u-i= esa 5 [k.M % d] [k] x] ?k vkSj ³ gSaA
There are 5 Sections : A, B, C, D and E in this question paper.

(ii) [k.M – d esa 1 ls 20 rd 1-1 vad ds ç'u gSaA 1 ls 18 rd cgqfodYih; (MCQs), ,d
'kCn mÙkjh;] fjDr LFkku iwfrZ] lR;/vlR; ç'u rFkk ç'u la[;k 19 vkSj 20 vfHkdFku-dkj.k
vk/kkfjr ç'u gSaA
Section–A consists of 1 mark questions from 1 to 20. 1 to 18 are Multiple
Choice Questions (MCQs), one word answer, fill in the blank, True/False and
question numbers 19 and 20 are Assertion-Reason based questions.

1103/(Set : A)

(3) 1103/(Set : A)
(iii) [k.M – [k esa 21 ls 25 rd vfr y?kq mÙkjh; (VSA) çdkj ds 2-2 vadksa ds ç'u gSaA
Section – B consists of Very Short Answer (VSA) type questions of 2 marks
each from 21 to 25.

(iv) [k.M – x esa 26 ls 31 rd y?kq mÙkjh; (SA) çdkj ds 3-3 vadksa ds ç'u gSasA
Section – C consists of Short Answer (SA) type questions of 3 marks each
from 26 to 31.

(v) [k.M – ?k esa 32 ls 35 rd nh?kZ mÙkjh; (LA) çdkj ds 5-5 vadksa ds ç'u gSaA
Section – D consists of Long Answer (LA) type questions of 5 marks each
from 32 to 35.

(vi) [k.M – ³ esa ç'u la[;k 36 ls 38 rd çdj.k v/;;u vk/kkfjr 4-4 vadksa ds ç'u gSaA çR;sd
çdj.k esa vkarfjd fodYi 2-2 vadksa ds ç'u esa fn;k x;k gSA

Question Numbers 36 to 38 in Section – E are case study based questions
of 4 marks each. Internal choice is given in each case study question of 2
marks each.

(vii) lHkh ç'u vfuok;Z gSaA gk¡ykfd [k.M – [k ds 2 ç'uksa esa] [k.M – x ds 2 ç'uksa esa] [k.M – ?k ds
2 ç'uksa esa rFkk [k.M – ³ ds 3 ç'uksa esa vkarfjd fodYi dk çko/kku fn;k x;k gSA muesa ls
vkidks ,d ç'u dks pquuk gSA
All questions are compulsory. However, provision of internal choice has
been made in 2 questions of Section–B, 2 questions of Section–C, 2
questions of Section–D, 3 questions of Section–E. You have to choose one
question of them.

1103/(Set : A) P. T. O.

(4) 1103/(Set : A)
[k.M – d
SECTION – A

1. 6, 72 rFkk 120 dk L.C.M. gS % 1

(A) 120 (B) 6
(C) 360 (D) 240
L. C. M. of 6, 72 and 120 is :
(A) 120 (B) 6
(C) 360 (D) 240

2. fuEufyf[kr esa ls dkSu-lh la[;k ifjes; gS \ 1

(A) 7+ 2 (B) 5− 3

(C) 2+ 9 (D) 5 − 2

Which of the following is a rational number ?

(A) 7+ 2 (B) 5− 3

(C) 2+ 9 (D) 5 − 2

3. ,d f}?kkr cgqin ftlds 'kwU;dksa ds ;ksx rFkk xq.kuQy Øe'k% 4 vkSj 1 gSa] gS % 1

(A) x 2 − 4x − 1 (B) x 2 − 4x + 1

(C) x 2 + 4x − 1 (D) x 2 + 4x + 1
The quadratic polynomial, the sum and product of whose zeroes are 4 and 1, is :

(A) x 2 − 4x − 1 (B) x 2 − 4x + 1

(C) x 2 + 4x − 1 (D) x 2 + 4x + 1

1103/(Set : A)

(5) 1103/(Set : A)
4. 10, 7, 4, ……. dk dkSu-lk in −62 gS \ 1
(A) 15ok¡ (B) 25ok¡
(C) 27ok¡ (D) 30ok¡
Which term of A. P. 10, 7, 4, ……. is −62 ?
(A) 15th (B) 25th
(C) 27th (D) 30th

5. k dk eku ftlds fy, f}?kkr lehdj.k kx 2 − 2kx + 6 = 0 ds ewy cjkcj gSa % 1
(A) 6 (B) −6
(C) 8 (D) −8
Value of k for which the quadratic equation kx 2 − 2kx + 6 = 0 has equal roots is :
(A) 6 (B) −6
(C) 8 (D) −8

6. fcUnqvksa (−5, 7) vkSj (−1, 3) ds chp dh nwjh gS % 1

(A) 2 2 (B) 4 2

(C) 5 2 (D) 6 2
The distance between the points (−5, 7) and (−1, 3) is :

(A) 2 2 (B) 4 2

(C) 5 2 (D) 6 2

7. f=Hkqt ABC vkSj DEF esa] ∠B = ∠E, ∠C = ∠F vkSj AB = DE gS] rc nks f=Hkqt gSa % 1

(A) le:i vkSj lok±xle (B) lok±xle ysfdu le:i ugha
(C) le:i ysfdu lok±xle ugha (D) u lok±xle vkSj u le:i
1103/(Set : A) P. T. O.

(6) 1103/(Set : A)
In triangles ABC and DEF, ∠B = ∠E, ∠C = ∠F and AB = DE, then the two
triangles are :
(A) Similar as well as congruent (B) Congruent but not similar
(C) Similar but not congruent (D) Neither congruent nor similar

8. ;fn ,d fcUnq P ls O dsUæ okys fdlh o`Ùk ij PA, PB Li'kZ js[kk,¡ ijLij 80° ds dks.k ij >qdh gksa]
rks ∠POA cjkcj gS % 1
(A) 50° (B) 60°
(C) 70° (D) 80°
If tangents PA and PB from a point P to a circle with centre O are inclined to
each other at angle 80°, then ∠POA is equal to :
(A) 50° (B) 60°
(C) 70° (D) 80°

9. 5 lseh f=T;k okys ,d o`Ùk ds fcUnq P ij Li'kZ js[kk PQ dsUæ O ls tkus okyh ,d js[kk ls fcUnq Q ij

bl çdkj feyrh gS fd OQ = 12 lseh] PQ dh yackbZ gS % 1

(A) 12 lseh (B) 13 lseh

(C) 8 lseh (D) 119 lseh

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the
centre O at a point Q so that OQ = 12 cm, length PQ is :

(A) 12 cm (B) 13 cm

(C) 8 cm (D) 119 cm

1103/(Set : A)

(7) 1103/(Set : A)
10. sin 60 cos 30 + sin 30 cos 60 dk eku D;k gS \ 1

(A) −1 (B) 1
(C) 0 (D) 2
What is the value of sin 60 cos 30 + sin 30 cos 60 ?
(A) −1 (B) 1
(C) 0 (D) 2

11. ;fn sin A = 3 , rks tan A dk eku D;k gS \ 1
4
3 4
(A) (B)
7 7
3 4
(C) (D)
5 5

3
If sin A = , then what is the value of tan A ?
4
3 4
(A) (B)
7 7
3 4
(C) (D)
5 5

12. 9 sec2 A − 9 tan2 A cjkcj gS % 1
(A) 1 (B) 9
(C) 8 (D) 0

9 sec2 A − 9 tan2 A is equal to :
(A) 1 (B) 9
(C) 8 (D) 0

1103/(Set : A) P. T. O.

(8) 1103/(Set : A)
13. f=T;k R okys o`Ùk ds ml f=T;[k.M dk {ks=Qy ftldk dks.k P° gS % 1

P P
(A) × 2πR (B) × πR 2
180 180

P P
(C) × 2πR (D) × 2πR 2
360 720

Area of a sector of angle P (in degree) of a circle with radius R is :

P P
(A) × 2πR (B) × πR 2
180 180

P P
(C) × 2πR (D) × 2πR 2
360 720

14. 6 lseh f=T;k okys ,d o`Ùk ds f=T;[k.M dk {ks=Qy] ftldk dks.k 60° gS % 1

132 264
(A) lseh2 (B) lseh2
7 7

64
(C) 132 lseh2 (D) lseh2
7

The area of a sector of a circle with radius 6 cm, if angle of the sector is 60°, is :

132 2 264 2
(A) cm (B) cm
7 7

2 64 2
(C) 132 cm (D) cm
7

1103/(Set : A)

(9) 1103/(Set : A)
15. f=T;k 2.1 lseh okys /kkrq ds xksys dk i`"Bh; {ks=Qy gS % 1
(A) 88.7 lseh (B) 194.5 lseh
2 2

(C) 55.44 lseh (D) 39.04 lseh
2 2

Surface area of a metallic sphere having radius 2.1 cm is :
2 2
(A) 88.7 cm (B) 194.5 cm
2 2
(C) 55.44 cm (D) 39.04 cm

16. ;fn fdUgha vk¡dM+ksa dk ek/;d vkSj cgqyd Øe'k% 11 vkSj 17 gSa] rks mudk ek/; gS % 1
(A) 7 (B) 8
(C) 9 (D) 10
If the Median and the Mode of a data are 11 and 17 respectively, then its Mean
is :
(A) 7 (B) 8
(C) 9 (D) 10

17. fuEufyf[kr forj.k ds fy, ek/;d oxZ vkSj cgqyd oxZ dh fupyh lhekvksa dk ;ksx gS % 1

oxZ vUrjky 0-5 5-10 10-15 15-20 20-25
ckjackjrk 10 15 12 20 9
(A) 15 (B) 25
(C) 30 (D) 35
For the following distribution, the sum of lower limits of the median class and
modal class is :

Class Interval 0-5 5-10 10-15 15-20 20-25
Frequency 10 15 12 20 9
(A) 15 (B) 25
(C) 30 (D) 35

1103/(Set : A) P. T. O.

( 10 ) 1103/(Set : A)
18. ,d ikls dks ,d ckj Qsadk tkrk gSA fo"ke la[;k çkIr djus dh çkf;drk gS % 1

1 1
(A) (B)
3 2

1 1
(C) (D)
4 5

A die is thrown once. The probability of getting an odd number is :

1 1
(A) (B)
3 2

1 1
(C) (D)
4 5

19. vfHkdFku (A) : 3 ,d vifjes; la[;k dk mnkgj.k gSA 1

dkj.k (R) : lHkh /kukRed iw.kk±dksa ds oxZewy vifjes; la[;k gksrh gSaA
(A) vfHkdFku (A) vkSj dkj.k (R) nksuksa lgh gSa vkSj dkj.k (R), vfHkdFku (A) dh lgh O;k[;k djrk
gSA
(B) vfHkdFku (A) vkSj dkj.k (R) nksuksa lgh gSa] ysfdu dkj.k (R), vfHkdFku (A) dh lgh O;k[;k ugha
gSA
(C) vfHkdFku (A) lgh gS] ysfdu dkj.k (R) xyr gSA

(D) vfHkdFku (A) xyr gS] ysfdu dkj.k (R) lgh gSA

1103/(Set : A)

( 11 ) 1103/(Set : A)
Assertion (A) : 3 is an example of irrational number.

Reason (R) : The square roots of all positive integers are irrational numbers.

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct
explanation of Assertion (A).

(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is the correct
explanation of Assertion (A).

(C) Assertion (A) is true, but Reason (R) is false.

(D) Assertion (A) is false, but Reason (R) is true.

20. vfHkdFku (A) : fcUnq (0, 5) y-v{k ij fLFkr gSA 1

dkj.k (R) : y-v{k ij fdlh Hkh fcanq dk x-funsZ'kkad 'kwU; gksrk gSA

(A) vfHkdFku (A) vkSj dkj.k (R) nksuksa lgh gSa vkSj dkj.k (R), vfHkdFku (A) dh lgh O;k[;k djrk
gSA

(B) vfHkdFku (A) vkSj dkj.k (R) nksuksa lgh gSa] ysfdu dkj.k (R), vfHkdFku (A) dh lgh O;k[;k ugha
gSA

(C) vfHkdFku (A) lgh gS] ysfdu dkj.k (R) xyr gSA

(D) vfHkdFku (A) xyr gS] ysfdu dkj.k (R) lgh gSA
1103/(Set : A) P. T. O.

( 12 ) 1103/(Set : A)
Assertion (A) : The point (0, 5) lies on y-axis.
Reason (R) : The x-coordinate on the point on y-axis is zero.
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct
explanation of Assertion (A).
(B) Both Assertion (A) and Reason (R) are true, but Reason (R) is the correct
explanation of Assertion (A).
(C) Assertion (A) is true, but Reason (R) is false.
(D) Assertion (A) is false, but Reason (R) is true.

[k.M – [k
SECTION – B

21. fuEufyf[kr jSf[kd lehdj.kksa ds ;qXe dks gy djsa % 2
2x + 3y = 13
5x − 4y = −2

Solve the following pair of linear equations :

2x + 3y = 13

5x − 4y = −2

22. /kjrh ij ,d ehukj Å/okZ/kj [kM+h gSA /kjrh ds ,d fcanq ls] tks ehukj ds ikn fcanq ls 15 m nwj gS]
ehukj ds f'k[kj dk mUu;u dks.k 60° gSA ehukj dh Å¡pkbZ Kkr dhft,A 2

A tower stands vertically on the ground. From a point on the ground which is
15 m away from the foot of the tower, the angle of elevation of the top of the
tower is found to be 60°. Find the height of the tower.

1103/(Set : A)

( 13 ) 1103/(Set : A)
vFkok

OR

vkÑfr esa PS = PT gS rFkk ∠PST = ∠PRQ gSA fl) dhft, fd ∆PQR ,d lef}ckgq f=Hkqt gSA
SQ TR
P

S T

Q R

PS PT
In the fig. = and ∠PST = ∠PRQ. Prove that ∆PQR is an isosceles triangle.
SQ TR
P

S T

Q R
23. ,d fcanq A ls tks o`Ùk ds dsUæ ls 5 cm dh nwjh ij gS] o`Ùk ij Li'kZjs[kk dh yEckbZ 4 cm gSA o`Ùk dh
f=T;k Kkr dhft,A 2
The length of a tangent from a point A at distance 5 cm from the centre of circle
is 4 cm. Find the radius of circle.

1103/(Set : A) P. T. O.

( 14 ) 1103/(Set : A)
24. fuEufyf[kr dk eku Kkr dhft, % 2

2 tan2 45° + cos2 30° − sin2 60°

Evaluate the following :

2 tan2 45° + cos2 30° − sin2 60°

25. f=T;k 4 cm okys ,d o`Ùk ds f=T;[k.M dk {ks=Qy Kkr dhft,] ftldk dks.k 30° gSA 2

Find the area of the sector of a circle with radius 4 cm and of angle 30°.

vFkok

OR

,d o`Ùk ds prqFkk±'k dk {ks=Qy Kkr dhft,] ftldh ifjf/k 22 lseh gSA

Find the area of a quadrant of a circle, whose circumference is 22 cm.

[k.M – x
SECTION – C

26. fl) dhft, 5 ,d vifjes; la[;k gSA 3

Prove that 5 is irrational number.

1103/(Set : A)

( 15 ) 1103/(Set : A)
2
27. f}?kkr cgqin x + 7x + 10 ds 'kwU;d Kkr dhft, vkSj 'kwU;dksa rFkk xq.kkadksa ds chp ds laca/k dh

lR;rk dh tk¡p dhft,A 3

Find the zeroes of the quadratic polynomial x 2 + 7x + 10 and verify the
relationship between the zeroes and coefficients.

28. nks O;fDr;ksa dh vk; dk vuqikr 9 : 7 gS vkSj muds [kpks± dk vuqikr 4 : 3 gSA ;fn çR;sd O;fDr çfr
eghus 2,000 #i;k cpk ysrk gS] rks mudh ekfld vk; Kkr dhft,A 3

The ratio of incomes of two persons is 9 : 7 and the ratio of their expenditure is
4 : 3. If each of them manage to save Rs. 2,000 per month. Find their monthly
income.

vFkok
OR

nks laiwjd dks.kksa esa cM+k dks.k NksVs dks.k ls 18° vf/kd gSA mUgsa Kkr dhft,A
The larger of two supplementary angles exceeds the smaller by 18 degrees. Find
them.

29. fl) dhft, fd nks ladsUæh; o`Ùkksa esa cM+s o`Ùk dh thok tks NksVs o`Ùk dks Li'kZ djrh gS] Li'kZ fcanq ij
lef}Hkkftr gksrh gSA 3

Prove that in two concentric circles the chord of the larger circle, which touches
the smaller circle, is bisected at the point of contact.

1103/(Set : A) P. T. O.

( 16 ) 1103/(Set : A)
30. fl) dhft, % 3

1 + sin A
= sec A + tan A
1 − sin A
Prove that :
1 + sin A
= sec A + tan A
1 − sin A

vFkok
OR

fl) dhft, %
sec A(1 − sin A) (sec A + tan A) = 1

Prove that :

sec A(1 − sin A) (sec A + tan A) = 1

31. ,d ikls dks ,d ckj Qsadk tkrk gSA fuEufyf[kr dks çkIr djus dh çkf;drk Kkr dhft, % 3

(i) ,d vHkkT; la[;k
(ii) 2 vkSj 6 ds chp fLFkr dksbZ la[;k

(iii) ,d fo"ke la[;k
A die is thrown once, find the probability of getting :

(i) a prime number

(ii) a number lying between 2 and 6

(iii) an odd number

1103/(Set : A)

( 17 ) 1103/(Set : A)
[k.M – ?k
SECTION – D

32. nks Øekxr /kukRed iw.kk±d Kkr dhft,] ftuds oxks± dk ;ksx 365 gSA 5

Find two consecutive positive integer, sum of whose squares is 365.

vFkok

OR

lehdj.k 3x 2 − 2x + 1 = 0 dk fofoDrdj Kkr dhft, vkSj fQj ewyksa dh çÑfr Kkr dhft,A ;fn os
3

okLrfod gSa] rks mUgsa Kkr dhft,A

1
Find the discriminant of the equation 3x 2 − 2x + = 0 and hence find the
3
nature of its roots. Find them, if they are real.

33. 90 cm dh yackbZ okyh ,d yM+dh cYc yxs ,d [kaHks ds vk/kkj ls ijs 1.2 m/s dh pky ls py jgh

gSA ;fn cYc Hkwfe ls 3.6 m dh Å¡pkbZ ij gS] rks 4 lsd.M ckn ml yM+dh dh Nk;k dh yackbZ Kkr
dhft,A 5

A girl of height 90 cm is walking away from the base of a lamp post at the speed
of 1.2 m/s. If the lamp is 3.6 m above the ground. Find the length of her shadow
after 4 second.

1103/(Set : A) P. T. O.

( 18 ) 1103/(Set : A)
34. 'kkark fdlh 'ksM (shed) esa ,d m|ksx pykrh gSA ;g 'ksM ,d ?kukHk ds vkdkj dk gS ftl ij ,d v/kZ-

csyu vkjksfir gSA ;fn bl 'ksM ds vk/kkj dh foek,¡ 7 m × 15 m gS] rks ?kukHkkdkj Hkkx dh Å¡pkbZ
8 m gS] rks 'ksM esa lekosf'kr gks ldus okyh gok dk vk;ru Kkr dhft,A iqu% ;fn eku ysa fd 'ksM esa

j[kh e'khujh 300 m3 LFkku ?ksjrh gS vkSj 'ksM ds vUnj 20 Jfed gSa ftuesa ls çR;sd 0.08 m3 ds

vkSlr ls LFkku ?ksjrk gS] rc 'ksM esa fdruh gok gksxh \ ¼ π = 22 yhft,½ 5
7

15 m
7m

8m

Shanta runs an industry in a shed which is in the shape of a cuboid
surmounted by a half cylinder. If the base of the shed is of dimension 7 m × 15 m
and the height of the cuboidal portion is 8 m. Find the volume of air that shed
can hold. Further suppose the machinery in the shed occupies a total space of

300 m3 and there are 20 workers, each of whom occupy about 0.08 m3 space
22
on an average. Then how much air is in the shed ? ¼Take π = ½
7

15 m
7m

8m

1103/(Set : A)

( 19 ) 1103/(Set : A)
vFkok
OR
vkÑfr esa n'kkZ;k x;k ltkoV ds fy, ç;ksx gksus okys CykWd nks Bkslksa ls feydj cuk gSA blesa ls ,d
?ku gS nwljk v/kZxksyk gSA bl CykWd dk vk/kkj 5 cm dksj ;k fdukjs okyk ,d ?ku gS vkSj Åijh yxs
gq, v/kZxksys dk O;kl 4.2 cm gSA bl CykWd dk laiw.kZ i`"Bh; {ks=Qy Kkr dhft,A ¼ π = 22 yhft,½
7
4.2 cm

5 cm

5 cm

5 cm

The decorative block shown in fig. is made of two solids − a cube and a
hemisphere. The base of the block is a cube with edge 5 cm and the hemisphere
fixed on the top has a diameter of 4.2 cm. Find the total surface area of the
22
block. ¼Take π = ½ 4.2 cm
7

5 cm

5 cm

5 cm

1103/(Set : A) P. T. O.

( 20 ) 1103/(Set : A)
35. fuEufyf[kr ckjackjrk caVu fdlh eksgYys ds 68 miHkksDrkvksa dh fctyh dh ekfld [kir n'kkZrk gSA bu
vk¡dM+ksa ds fy, cgqyd Kkr dhft, % 5

ekfld [kir ¼bdkbZ;ksa esa½ miHkksDrkvksa dh la[;k
65-85 4

85-105 5

105-125 13

125-145 20

145-165 14

165-185 8

185-205 4

The following frequency distribution gives the monthly consumption of electricity
of 68 consumers of a locality. Find the mode of data :

Monthly Consumption No. of Consumers
(in Units)

65-85 4

85-105 5

105-125 13

125-145 20

145-165 14

165-185 8

185-205 4

1103/(Set : A)

( 21 ) 1103/(Set : A)
[k.M – ³

SECTION – E

36. Vh0oh0 lsVksa dk fuekZrk rhljs o"kZ esa 600 Vh0oh0 rFkk 7osa o"kZ esa 700 Vh0 oh0 lsVksa dk mRiknu djrk
gSA ;g ekurs gq, fd çR;sd o"kZ mRiknu esa ,d leku :i ls fuf'pr la[;k esa o`f) gksrh gS] Kkr dhft, %

(i) çFke o"kZ esa mRiknu 1

(ii) 10osa o"kZ esa mRiknu 1

(iii) (a) çFke 7 o"kks± esa dqy mRiknu vFkok (b) 10 o"kks± esa dqy mRiknu 2

A manufacturer of TV sets produced 600 sets in third year and 700 sets in
seventh years. Assuming that the production increase uniformly by a fixed
number every year, find :

(i) the production in the 1st year

(ii) the production in 10th year

(iii) (a) the total production in first 7 years or (b) total production in 10 years

37. ,d lkslkbVh ds jsftMsaV osyQs;j ,lksfl,'ku (RWA) us ,d lkslkbVh ds ikdZ esa rhu fctyh ds [kaHks
A, B vkSj C yxk,A bu rhu [kaHkksa ds ckotwn] ikdZ ds dqN fgLlksa esa vHkh Hkh va/ksjk gS blfy, RWA

,d vkSj fctyh dk [kaHkk D yxkus dk QSlyk fd;kA

1103/(Set : A) P. T. O.

( 22 ) 1103/(Set : A)

mijksDr tkudkjh ds vk/kkj ij fuEufyf[kr ç'uksa ds mÙkj nsa %
(i) [kaHks C dh fLFkfr Kkr dhft,A 1
(ii) ikdZ ds dksus O ls [kaHks B dh nwjh Kkr dhft,A 1
(iii) (a) pkSFks [kaHks D dh fLFkfr Kkr dhft,] rkfd pkj fcanq A, B, C vkSj D ,d lekarj prqHkqZt cuk
ysaA vFkok (b) [kaHkksa A vkSj C ds chp dh nwjh Kkr dhft,A 2

Resident Welfare Association (RWA) of a society put up three electric poles A, B
and C in a society's park. Despite these three poles, some part of the park are
still in dark, so RWA decides to have one more electric pole D in the park.

1103/(Set : A)

( 23 ) 1103/(Set : A)
Based on the above information, answer the following questions :

(i) Find the position of the pole C.

(ii) Find the distance of the pole B from corner O of the park.

(iii) (a) Find the position of the fourth pole D so that four points A, B, C and D

form a parallelogram. or (b) Find the distance between poles A and C.

38. lM+d ds nksuksa vksj [kM+s leku Å¡pkbZ ds nks [kaHkksa ij nks gksfM±x yxk, tkrs gSaA lM+d ij muds chp ,d
fcanq ls [kaHkksa ds 'kh"kZ dk mUu;u dks.k Øe'k% 60° vkSj 30° gSA çR;sd [kaHks dh Å¡pkbZ 20 ehVj gSA
mijksDr tkudkjh ds vk/kkj ij fuEufyf[kr ç'uksa ds mÙkj nhft, %

vius 'kgj dks lkQ vkxs Ldwy gS /khjs-/khjs
lqFkjk j[ksa pysa
Q S

20 m

60° 30°
P R
O
(i) PO dh yackbZ Kkr dhft,A 1
(ii) RO dh yackbZ Kkr dhft,A 1
(iii) (a) lM+d dh pkSM+kbZ Kkr dhft,A vFkok (b) ;fn [kaHks PQ }kjk cuk;k x;k mUu;u dks.k 45° gS]
rks PO dh yackbZ Kkr dhft,A 2

1103/(Set : A) P. T. O.

( 24 ) 1103/(Set : A)
Two hoardings are put on two poles of equal heights standing on either side of
the road. From a point between them on the road the angle of elevation of the
top of poles are 60° and 30° respectively. Height of each of pole is 20 m. Basis of
above information, answer the following questions :

Keep your city There is School
clean ahead let's go slowly

Q S

20 m

60° 30°
P R
O

(i) Find the length of PO.

(ii) Find the length of RO.

(iii) (a) Find the width of the road. or (b) If the angle of elevation made by PQ is
45°, then find the length of PO.

S
1103/(Set : A)

Haryana Board
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Model Papers

Previous Year Question Papers

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Notes