Class 10 Mathematics (Basic): Question Paper for 2024 | Mathematics (Maths) Class 10 PDF Download

 Page 1


 
14-430/4/3  Page 1 P.T.O.   
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$ 
_wI-n¥ð >na Adí` {bIo§ & 
Candidates must write the Q.P. Code on 
the title page of the answer-book. 
  Series 
C 4 A B D/4
 SET~3 
     àíZ-nÌ H$moS>   
   
 
amob Z§. 
Q.P. Code  
Roll No. 
 
 
 
 
 ZmoQ> / NOTE : 
(i) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 23 h¢ & 
 Please check that this question paper contains 23 printed pages. 
(ii) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ & 
 Please check that this question paper contains 38 questions. 
(iii) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
 Q.P. Code given on the right hand side of the question paper should be written 
on the title page of the answer-book by the candidate.  
(iv) 
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ Adí` 
{bI| & 
 Please write down the serial number of the question in the 
answer-book before attempting it. 
(v) 
Bg  àíZ-nÌ  H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m g_` {X`m J`m h¡ &  àíZ-nÌ H$m {dVaU nydm©• _| 
10.15 ~Oo {H$`m OmEJm & 10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg 
Ad{Y Ho$ Xm¡amZ do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo & 
 15 minute time has been allotted to read this question paper. The question 
paper  will  be  distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the 
students will read the question paper only and will not write any answer on the 
answer-book during this period. 
 J{UV (~w{Z`mXr) 
MATHEMATICS (BASIC)  
{ZYm©[aV g_` : 3 KÊQ>o  A{YH$V_ A§H$ : 80 
Time allowed : 3 hours Maximum Marks : 80 
4 3 0 / 4 / 3
Page 2


 
14-430/4/3  Page 1 P.T.O.   
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$ 
_wI-n¥ð >na Adí` {bIo§ & 
Candidates must write the Q.P. Code on 
the title page of the answer-book. 
  Series 
C 4 A B D/4
 SET~3 
     àíZ-nÌ H$moS>   
   
 
amob Z§. 
Q.P. Code  
Roll No. 
 
 
 
 
 ZmoQ> / NOTE : 
(i) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 23 h¢ & 
 Please check that this question paper contains 23 printed pages. 
(ii) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ & 
 Please check that this question paper contains 38 questions. 
(iii) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
 Q.P. Code given on the right hand side of the question paper should be written 
on the title page of the answer-book by the candidate.  
(iv) 
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ Adí` 
{bI| & 
 Please write down the serial number of the question in the 
answer-book before attempting it. 
(v) 
Bg  àíZ-nÌ  H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m g_` {X`m J`m h¡ &  àíZ-nÌ H$m {dVaU nydm©• _| 
10.15 ~Oo {H$`m OmEJm & 10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg 
Ad{Y Ho$ Xm¡amZ do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo & 
 15 minute time has been allotted to read this question paper. The question 
paper  will  be  distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the 
students will read the question paper only and will not write any answer on the 
answer-book during this period. 
 J{UV (~w{Z`mXr) 
MATHEMATICS (BASIC)  
{ZYm©[aV g_` : 3 KÊQ>o  A{YH$V_ A§H$ : 80 
Time allowed : 3 hours Maximum Marks : 80 
4 3 0 / 4 / 3
 
14-430/4/3 Page 2 
gm_mÝ` {ZX}e : 
{ZåZ{b{IV {ZX}em| H$mo ~hþV gmdYmZr go n{‹T>E Am¡a CZH$m g™Vr go nmbZ H$s{OE : 
(i) Bg àíZ-nÌ _| 38 àíZ h¢ & g^r àíZ A{Zdm`© h¢ & 
(ii) `h àíZ-nÌ nm±M IÊS>m| _| {d^m{OV h¡ – H$, I, J, K Ed§ L> &  
(iii) IÊS> H$ _| àíZ g§»`m 1 go 18 VH$ ~hþ{dH$ënr` (MCQ) VWm àíZ g§»`m 19 Ed§ 20 
A{^H$WZ Ed§ VH©$ AmYm[aV 1 A§H$ Ho$ àíZ h¢ &  
(iv) IÊS> I _| àíZ g§»`m 21 go 25 VH$ A{V bKw-CÎmar` (VSA) àH$ma Ho$ 2 A§H$m| Ho$ àíZ h¢ &  
(v) IÊS> J _| àíZ g§»`m 26 go 31 VH$ bKw-CÎmar` (SA) àH$ma Ho$ 3 A§H$m| Ho$ àíZ h¢ &  
(vi) IÊS> K _| àíZ g§»`m 32 go 35 VH$ XrK©-CÎmar` (LA) àH$ma Ho$ 5 A§H$m| Ho$ àíZ h¢ &   
(vii) IÊS> L> _| àíZ g§»`m 36 go 38 VH$ àH$aU AÜ``Z AmYm[aV 4 A§H$m| Ho$ àíZ h¢ & àË`oH$ 
àH$aU AÜ``Z _| Am§V[aH$ {dH$ën 2 A§H$m| Ho$ àíZ _| {X`m J`m h¡ & 
(viii) àíZ-nÌ _| g_J« {dH$ën Zht {X`m J`m h¡ & `Ú{n, IÊS> I Ho$ 2 àíZm| _|, IÊS> J Ho$ 2 àíZm| 
_|, IÊS> K Ho$ 2 àíZm| _| VWm IÊS> L> Ho$ 3 àíZm| _| Am§V[aH$ {dH$ën H$m àmdYmZ {X`m J`m  
h¡ &  
(ix) Ohm± Amdí`H$ hmo ñdÀN> AmH¥${V`m± ~ZmBE & Ohm± Amdí`H$ hmo p = 
7
22
 br{OE, `{X AÝ`Wm 
Z {X`m J`m hmo &  
(x) H¡$ëHw$boQ>a H$m Cn`moJ d{O©V h¡ & 
 
IÊS> H$ 
 
Bg IÊS> _| ~hþ{dH$ënr` àíZ (MCQ) h¢, {OZ_| àË`oH$ àíZ 1 A§H$ H$m h¡ & 20 ´1=20 
1. 9 m D±$Mo {~Obr Ho$ I§^o H$s µO_rZ na 3 3 m bå~r N>m`m h¡ & Cg g_` na gy`© H$m 
CÞVm§e h¡ :   
(A) 60
°
   (B) 90
°  
(C) 45
°
   (D) 30
° 
2. d¥Îm H$s EH$ Ordm Am¡a Xmo Mmnm| _| go {H$gr EH$ Ho$ ~rM H$m àË`oH$ joÌ H$hbmVm h¡ :    
(A) EH$ Mmn (B) EH$ {ÌÁ`I§S>   
(C) EH$ d¥ÎmI§S> (D) EH$ AY©d¥Îm  
Page 3


 
14-430/4/3  Page 1 P.T.O.   
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$ 
_wI-n¥ð >na Adí` {bIo§ & 
Candidates must write the Q.P. Code on 
the title page of the answer-book. 
  Series 
C 4 A B D/4
 SET~3 
     àíZ-nÌ H$moS>   
   
 
amob Z§. 
Q.P. Code  
Roll No. 
 
 
 
 
 ZmoQ> / NOTE : 
(i) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 23 h¢ & 
 Please check that this question paper contains 23 printed pages. 
(ii) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ & 
 Please check that this question paper contains 38 questions. 
(iii) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
 Q.P. Code given on the right hand side of the question paper should be written 
on the title page of the answer-book by the candidate.  
(iv) 
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ Adí` 
{bI| & 
 Please write down the serial number of the question in the 
answer-book before attempting it. 
(v) 
Bg  àíZ-nÌ  H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m g_` {X`m J`m h¡ &  àíZ-nÌ H$m {dVaU nydm©• _| 
10.15 ~Oo {H$`m OmEJm & 10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg 
Ad{Y Ho$ Xm¡amZ do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo & 
 15 minute time has been allotted to read this question paper. The question 
paper  will  be  distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the 
students will read the question paper only and will not write any answer on the 
answer-book during this period. 
 J{UV (~w{Z`mXr) 
MATHEMATICS (BASIC)  
{ZYm©[aV g_` : 3 KÊQ>o  A{YH$V_ A§H$ : 80 
Time allowed : 3 hours Maximum Marks : 80 
4 3 0 / 4 / 3
 
14-430/4/3 Page 2 
gm_mÝ` {ZX}e : 
{ZåZ{b{IV {ZX}em| H$mo ~hþV gmdYmZr go n{‹T>E Am¡a CZH$m g™Vr go nmbZ H$s{OE : 
(i) Bg àíZ-nÌ _| 38 àíZ h¢ & g^r àíZ A{Zdm`© h¢ & 
(ii) `h àíZ-nÌ nm±M IÊS>m| _| {d^m{OV h¡ – H$, I, J, K Ed§ L> &  
(iii) IÊS> H$ _| àíZ g§»`m 1 go 18 VH$ ~hþ{dH$ënr` (MCQ) VWm àíZ g§»`m 19 Ed§ 20 
A{^H$WZ Ed§ VH©$ AmYm[aV 1 A§H$ Ho$ àíZ h¢ &  
(iv) IÊS> I _| àíZ g§»`m 21 go 25 VH$ A{V bKw-CÎmar` (VSA) àH$ma Ho$ 2 A§H$m| Ho$ àíZ h¢ &  
(v) IÊS> J _| àíZ g§»`m 26 go 31 VH$ bKw-CÎmar` (SA) àH$ma Ho$ 3 A§H$m| Ho$ àíZ h¢ &  
(vi) IÊS> K _| àíZ g§»`m 32 go 35 VH$ XrK©-CÎmar` (LA) àH$ma Ho$ 5 A§H$m| Ho$ àíZ h¢ &   
(vii) IÊS> L> _| àíZ g§»`m 36 go 38 VH$ àH$aU AÜ``Z AmYm[aV 4 A§H$m| Ho$ àíZ h¢ & àË`oH$ 
àH$aU AÜ``Z _| Am§V[aH$ {dH$ën 2 A§H$m| Ho$ àíZ _| {X`m J`m h¡ & 
(viii) àíZ-nÌ _| g_J« {dH$ën Zht {X`m J`m h¡ & `Ú{n, IÊS> I Ho$ 2 àíZm| _|, IÊS> J Ho$ 2 àíZm| 
_|, IÊS> K Ho$ 2 àíZm| _| VWm IÊS> L> Ho$ 3 àíZm| _| Am§V[aH$ {dH$ën H$m àmdYmZ {X`m J`m  
h¡ &  
(ix) Ohm± Amdí`H$ hmo ñdÀN> AmH¥${V`m± ~ZmBE & Ohm± Amdí`H$ hmo p = 
7
22
 br{OE, `{X AÝ`Wm 
Z {X`m J`m hmo &  
(x) H¡$ëHw$boQ>a H$m Cn`moJ d{O©V h¡ & 
 
IÊS> H$ 
 
Bg IÊS> _| ~hþ{dH$ënr` àíZ (MCQ) h¢, {OZ_| àË`oH$ àíZ 1 A§H$ H$m h¡ & 20 ´1=20 
1. 9 m D±$Mo {~Obr Ho$ I§^o H$s µO_rZ na 3 3 m bå~r N>m`m h¡ & Cg g_` na gy`© H$m 
CÞVm§e h¡ :   
(A) 60
°
   (B) 90
°  
(C) 45
°
   (D) 30
° 
2. d¥Îm H$s EH$ Ordm Am¡a Xmo Mmnm| _| go {H$gr EH$ Ho$ ~rM H$m àË`oH$ joÌ H$hbmVm h¡ :    
(A) EH$ Mmn (B) EH$ {ÌÁ`I§S>   
(C) EH$ d¥ÎmI§S> (D) EH$ AY©d¥Îm  
 
14-430/4/3  Page 3 P.T.O.   
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper contains 38 questions. All questions are compulsory.  
(ii) This question paper is divided into five Sections – A, B, C, D and E.  
(iii) In Section A, Questions no. 1 to 18 are Multiple Choice Questions (MCQs) and 
questions number 19 and 20 are Assertion-Reason based questions of 1 mark 
each.  
(iv) In Section B, Questions no. 21 to 25 are Very Short Answer (VSA) type 
questions, carrying 2 marks each.  
(v) In Section C, Questions no. 26 to 31 are Short Answer (SA) type questions, 
carrying 3 marks each. 
(vi) In Section D, Questions no. 32 to 35 are Long Answer (LA) type questions 
carrying 5 marks each.  
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying  
4 marks each. Internal choice is provided in 2 marks questions in each  
case study. 
(viii) There is no overall choice. However, an internal choice has been provided in  
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and 
3 questions in Section E. 
(ix) Draw neat diagrams wherever required. Take p = 
7
22
 wherever required, if not 
stated.   
(x) Use of calculator is not allowed.   
SECTION A 
This section comprises Multiple Choice Questions (MCQs) of 1 mark each.  20 ´1=20 
1. A lamp post 9 m high casts a shadow 3 3 m long on the ground. The 
Sun’s elevation at this moment is :   
(A) 60
°
   (B) 90
°  
(C) 45
°
   (D) 30
° 
2. The region between a chord and either of the two arcs of a circle is called :  
(A) an arc (B) a sector 
(C) a segment  (D) a semicircle   
Page 4


 
14-430/4/3  Page 1 P.T.O.   
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$ 
_wI-n¥ð >na Adí` {bIo§ & 
Candidates must write the Q.P. Code on 
the title page of the answer-book. 
  Series 
C 4 A B D/4
 SET~3 
     àíZ-nÌ H$moS>   
   
 
amob Z§. 
Q.P. Code  
Roll No. 
 
 
 
 
 ZmoQ> / NOTE : 
(i) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 23 h¢ & 
 Please check that this question paper contains 23 printed pages. 
(ii) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ & 
 Please check that this question paper contains 38 questions. 
(iii) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
 Q.P. Code given on the right hand side of the question paper should be written 
on the title page of the answer-book by the candidate.  
(iv) 
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ Adí` 
{bI| & 
 Please write down the serial number of the question in the 
answer-book before attempting it. 
(v) 
Bg  àíZ-nÌ  H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m g_` {X`m J`m h¡ &  àíZ-nÌ H$m {dVaU nydm©• _| 
10.15 ~Oo {H$`m OmEJm & 10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg 
Ad{Y Ho$ Xm¡amZ do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo & 
 15 minute time has been allotted to read this question paper. The question 
paper  will  be  distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the 
students will read the question paper only and will not write any answer on the 
answer-book during this period. 
 J{UV (~w{Z`mXr) 
MATHEMATICS (BASIC)  
{ZYm©[aV g_` : 3 KÊQ>o  A{YH$V_ A§H$ : 80 
Time allowed : 3 hours Maximum Marks : 80 
4 3 0 / 4 / 3
 
14-430/4/3 Page 2 
gm_mÝ` {ZX}e : 
{ZåZ{b{IV {ZX}em| H$mo ~hþV gmdYmZr go n{‹T>E Am¡a CZH$m g™Vr go nmbZ H$s{OE : 
(i) Bg àíZ-nÌ _| 38 àíZ h¢ & g^r àíZ A{Zdm`© h¢ & 
(ii) `h àíZ-nÌ nm±M IÊS>m| _| {d^m{OV h¡ – H$, I, J, K Ed§ L> &  
(iii) IÊS> H$ _| àíZ g§»`m 1 go 18 VH$ ~hþ{dH$ënr` (MCQ) VWm àíZ g§»`m 19 Ed§ 20 
A{^H$WZ Ed§ VH©$ AmYm[aV 1 A§H$ Ho$ àíZ h¢ &  
(iv) IÊS> I _| àíZ g§»`m 21 go 25 VH$ A{V bKw-CÎmar` (VSA) àH$ma Ho$ 2 A§H$m| Ho$ àíZ h¢ &  
(v) IÊS> J _| àíZ g§»`m 26 go 31 VH$ bKw-CÎmar` (SA) àH$ma Ho$ 3 A§H$m| Ho$ àíZ h¢ &  
(vi) IÊS> K _| àíZ g§»`m 32 go 35 VH$ XrK©-CÎmar` (LA) àH$ma Ho$ 5 A§H$m| Ho$ àíZ h¢ &   
(vii) IÊS> L> _| àíZ g§»`m 36 go 38 VH$ àH$aU AÜ``Z AmYm[aV 4 A§H$m| Ho$ àíZ h¢ & àË`oH$ 
àH$aU AÜ``Z _| Am§V[aH$ {dH$ën 2 A§H$m| Ho$ àíZ _| {X`m J`m h¡ & 
(viii) àíZ-nÌ _| g_J« {dH$ën Zht {X`m J`m h¡ & `Ú{n, IÊS> I Ho$ 2 àíZm| _|, IÊS> J Ho$ 2 àíZm| 
_|, IÊS> K Ho$ 2 àíZm| _| VWm IÊS> L> Ho$ 3 àíZm| _| Am§V[aH$ {dH$ën H$m àmdYmZ {X`m J`m  
h¡ &  
(ix) Ohm± Amdí`H$ hmo ñdÀN> AmH¥${V`m± ~ZmBE & Ohm± Amdí`H$ hmo p = 
7
22
 br{OE, `{X AÝ`Wm 
Z {X`m J`m hmo &  
(x) H¡$ëHw$boQ>a H$m Cn`moJ d{O©V h¡ & 
 
IÊS> H$ 
 
Bg IÊS> _| ~hþ{dH$ënr` àíZ (MCQ) h¢, {OZ_| àË`oH$ àíZ 1 A§H$ H$m h¡ & 20 ´1=20 
1. 9 m D±$Mo {~Obr Ho$ I§^o H$s µO_rZ na 3 3 m bå~r N>m`m h¡ & Cg g_` na gy`© H$m 
CÞVm§e h¡ :   
(A) 60
°
   (B) 90
°  
(C) 45
°
   (D) 30
° 
2. d¥Îm H$s EH$ Ordm Am¡a Xmo Mmnm| _| go {H$gr EH$ Ho$ ~rM H$m àË`oH$ joÌ H$hbmVm h¡ :    
(A) EH$ Mmn (B) EH$ {ÌÁ`I§S>   
(C) EH$ d¥ÎmI§S> (D) EH$ AY©d¥Îm  
 
14-430/4/3  Page 3 P.T.O.   
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper contains 38 questions. All questions are compulsory.  
(ii) This question paper is divided into five Sections – A, B, C, D and E.  
(iii) In Section A, Questions no. 1 to 18 are Multiple Choice Questions (MCQs) and 
questions number 19 and 20 are Assertion-Reason based questions of 1 mark 
each.  
(iv) In Section B, Questions no. 21 to 25 are Very Short Answer (VSA) type 
questions, carrying 2 marks each.  
(v) In Section C, Questions no. 26 to 31 are Short Answer (SA) type questions, 
carrying 3 marks each. 
(vi) In Section D, Questions no. 32 to 35 are Long Answer (LA) type questions 
carrying 5 marks each.  
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying  
4 marks each. Internal choice is provided in 2 marks questions in each  
case study. 
(viii) There is no overall choice. However, an internal choice has been provided in  
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and 
3 questions in Section E. 
(ix) Draw neat diagrams wherever required. Take p = 
7
22
 wherever required, if not 
stated.   
(x) Use of calculator is not allowed.   
SECTION A 
This section comprises Multiple Choice Questions (MCQs) of 1 mark each.  20 ´1=20 
1. A lamp post 9 m high casts a shadow 3 3 m long on the ground. The 
Sun’s elevation at this moment is :   
(A) 60
°
   (B) 90
°  
(C) 45
°
   (D) 30
° 
2. The region between a chord and either of the two arcs of a circle is called :  
(A) an arc (B) a sector 
(C) a segment  (D) a semicircle   
 
14-430/4/3 Page 4 
3. 6 cm {ÌÁ`m dmbo EH$ d¥Îm Ho$ {ÌÁ`I§S>, Omo d¥Îm Ho$ Ho$ÝÐ na 60° H$m H$moU A§V[aV H$aVm 
h¡, H$m joÌ\$b h¡ :     
(A) 
7
142
 cm
2
  (B) 
7
152
 cm
2
 
(C) 
7
132
 cm
2
 (D) 
7
122
 cm
2 
4. {ÛKmV g_rH$aU x
2
 – 4 = 0 H$m/Ho$ _yb h¡/h¢ : 
(A) Ho$db 2   (B) – 2, 2  
(C) Ho$db 4   (D) – 4, 4  
5. Xr JB© AmH¥${V _|, `{X  D ABC ~ D QPR h¡, Vmo x H$m _mZ h¡ :  
  
(A) 5·3 cm   (B) 4·6 cm 
(C) 2·3 cm   (D) 4 cm 
6. EH$ Ý`mæ` nmgm EH$ ~ma \|$H$m OmVm h¡ & 5 go H$_ ^mÁ` g§»`m àmßV hmoZo H$s àm{`H$Vm h¡ :  
(A) 
3
1
 (B) 
3
2
 
(C) 0 (D) 
6
1
 
7. ~hþnX x
2
 – 5x + 4 _| Š`m Omo‹S>m OmE {Oggo n[aUm_r ~hþnX H$m EH$ eyÝ`H$ 3 hmo ?    
(A) 1   (B) 2  
(C) 4   (D) 5  
8. {H$gr d¥Îm H$s ñne©-aoIm dh aoIm hmoVr h¡ Omo d¥Îm H$mo ñne© H$aVr h¡ :    
(A) Ho$db EH$ hr {~ÝXþ na   (B) Xmo {~ÝXþAm| na     
(C) VrZ {~ÝXþAm| na   (D) AZ§V {~ÝXþAm| na  
Page 5


 
14-430/4/3  Page 1 P.T.O.   
narjmWu àíZ-nÌ H$moS> >H$mo CÎma-nwpñVH$m Ho$ 
_wI-n¥ð >na Adí` {bIo§ & 
Candidates must write the Q.P. Code on 
the title page of the answer-book. 
  Series 
C 4 A B D/4
 SET~3 
     àíZ-nÌ H$moS>   
   
 
amob Z§. 
Q.P. Code  
Roll No. 
 
 
 
 
 ZmoQ> / NOTE : 
(i) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV n¥ð> 23 h¢ & 
 Please check that this question paper contains 23 printed pages. 
(ii) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _| >38 àíZ h¢ & 
 Please check that this question paper contains 38 questions. 
(iii) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE àíZ-nÌ H$moS H$mo narjmWu CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
 Q.P. Code given on the right hand side of the question paper should be written 
on the title page of the answer-book by the candidate.  
(iv) 
H¥$n`m àíZ H$m CÎma {bIZm ewê$ H$aZo go nhbo, CÎma-nwpñVH$m _| àíZ H$m H«$_m§H$ Adí` 
{bI| & 
 Please write down the serial number of the question in the 
answer-book before attempting it. 
(v) 
Bg  àíZ-nÌ  H$mo n‹T>Zo Ho$ {bE 15 {_ZQ >H$m g_` {X`m J`m h¡ &  àíZ-nÌ H$m {dVaU nydm©• _| 
10.15 ~Oo {H$`m OmEJm & 10.15 ~Oo go 10.30 ~Oo VH$ N>mÌ Ho$db àíZ-nÌ H$mo n‹T>|Jo Am¡a Bg 
Ad{Y Ho$ Xm¡amZ do CÎma-nwpñVH$m na H$moB© CÎma Zht {bI|Jo & 
 15 minute time has been allotted to read this question paper. The question 
paper  will  be  distributed at 10.15 a.m. From 10.15 a.m. to 10.30 a.m., the 
students will read the question paper only and will not write any answer on the 
answer-book during this period. 
 J{UV (~w{Z`mXr) 
MATHEMATICS (BASIC)  
{ZYm©[aV g_` : 3 KÊQ>o  A{YH$V_ A§H$ : 80 
Time allowed : 3 hours Maximum Marks : 80 
4 3 0 / 4 / 3
 
14-430/4/3 Page 2 
gm_mÝ` {ZX}e : 
{ZåZ{b{IV {ZX}em| H$mo ~hþV gmdYmZr go n{‹T>E Am¡a CZH$m g™Vr go nmbZ H$s{OE : 
(i) Bg àíZ-nÌ _| 38 àíZ h¢ & g^r àíZ A{Zdm`© h¢ & 
(ii) `h àíZ-nÌ nm±M IÊS>m| _| {d^m{OV h¡ – H$, I, J, K Ed§ L> &  
(iii) IÊS> H$ _| àíZ g§»`m 1 go 18 VH$ ~hþ{dH$ënr` (MCQ) VWm àíZ g§»`m 19 Ed§ 20 
A{^H$WZ Ed§ VH©$ AmYm[aV 1 A§H$ Ho$ àíZ h¢ &  
(iv) IÊS> I _| àíZ g§»`m 21 go 25 VH$ A{V bKw-CÎmar` (VSA) àH$ma Ho$ 2 A§H$m| Ho$ àíZ h¢ &  
(v) IÊS> J _| àíZ g§»`m 26 go 31 VH$ bKw-CÎmar` (SA) àH$ma Ho$ 3 A§H$m| Ho$ àíZ h¢ &  
(vi) IÊS> K _| àíZ g§»`m 32 go 35 VH$ XrK©-CÎmar` (LA) àH$ma Ho$ 5 A§H$m| Ho$ àíZ h¢ &   
(vii) IÊS> L> _| àíZ g§»`m 36 go 38 VH$ àH$aU AÜ``Z AmYm[aV 4 A§H$m| Ho$ àíZ h¢ & àË`oH$ 
àH$aU AÜ``Z _| Am§V[aH$ {dH$ën 2 A§H$m| Ho$ àíZ _| {X`m J`m h¡ & 
(viii) àíZ-nÌ _| g_J« {dH$ën Zht {X`m J`m h¡ & `Ú{n, IÊS> I Ho$ 2 àíZm| _|, IÊS> J Ho$ 2 àíZm| 
_|, IÊS> K Ho$ 2 àíZm| _| VWm IÊS> L> Ho$ 3 àíZm| _| Am§V[aH$ {dH$ën H$m àmdYmZ {X`m J`m  
h¡ &  
(ix) Ohm± Amdí`H$ hmo ñdÀN> AmH¥${V`m± ~ZmBE & Ohm± Amdí`H$ hmo p = 
7
22
 br{OE, `{X AÝ`Wm 
Z {X`m J`m hmo &  
(x) H¡$ëHw$boQ>a H$m Cn`moJ d{O©V h¡ & 
 
IÊS> H$ 
 
Bg IÊS> _| ~hþ{dH$ënr` àíZ (MCQ) h¢, {OZ_| àË`oH$ àíZ 1 A§H$ H$m h¡ & 20 ´1=20 
1. 9 m D±$Mo {~Obr Ho$ I§^o H$s µO_rZ na 3 3 m bå~r N>m`m h¡ & Cg g_` na gy`© H$m 
CÞVm§e h¡ :   
(A) 60
°
   (B) 90
°  
(C) 45
°
   (D) 30
° 
2. d¥Îm H$s EH$ Ordm Am¡a Xmo Mmnm| _| go {H$gr EH$ Ho$ ~rM H$m àË`oH$ joÌ H$hbmVm h¡ :    
(A) EH$ Mmn (B) EH$ {ÌÁ`I§S>   
(C) EH$ d¥ÎmI§S> (D) EH$ AY©d¥Îm  
 
14-430/4/3  Page 3 P.T.O.   
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper contains 38 questions. All questions are compulsory.  
(ii) This question paper is divided into five Sections – A, B, C, D and E.  
(iii) In Section A, Questions no. 1 to 18 are Multiple Choice Questions (MCQs) and 
questions number 19 and 20 are Assertion-Reason based questions of 1 mark 
each.  
(iv) In Section B, Questions no. 21 to 25 are Very Short Answer (VSA) type 
questions, carrying 2 marks each.  
(v) In Section C, Questions no. 26 to 31 are Short Answer (SA) type questions, 
carrying 3 marks each. 
(vi) In Section D, Questions no. 32 to 35 are Long Answer (LA) type questions 
carrying 5 marks each.  
(vii) In Section E, Questions no. 36 to 38 are case study based questions carrying  
4 marks each. Internal choice is provided in 2 marks questions in each  
case study. 
(viii) There is no overall choice. However, an internal choice has been provided in  
2 questions in Section B, 2 questions in Section C, 2 questions in Section D and 
3 questions in Section E. 
(ix) Draw neat diagrams wherever required. Take p = 
7
22
 wherever required, if not 
stated.   
(x) Use of calculator is not allowed.   
SECTION A 
This section comprises Multiple Choice Questions (MCQs) of 1 mark each.  20 ´1=20 
1. A lamp post 9 m high casts a shadow 3 3 m long on the ground. The 
Sun’s elevation at this moment is :   
(A) 60
°
   (B) 90
°  
(C) 45
°
   (D) 30
° 
2. The region between a chord and either of the two arcs of a circle is called :  
(A) an arc (B) a sector 
(C) a segment  (D) a semicircle   
 
14-430/4/3 Page 4 
3. 6 cm {ÌÁ`m dmbo EH$ d¥Îm Ho$ {ÌÁ`I§S>, Omo d¥Îm Ho$ Ho$ÝÐ na 60° H$m H$moU A§V[aV H$aVm 
h¡, H$m joÌ\$b h¡ :     
(A) 
7
142
 cm
2
  (B) 
7
152
 cm
2
 
(C) 
7
132
 cm
2
 (D) 
7
122
 cm
2 
4. {ÛKmV g_rH$aU x
2
 – 4 = 0 H$m/Ho$ _yb h¡/h¢ : 
(A) Ho$db 2   (B) – 2, 2  
(C) Ho$db 4   (D) – 4, 4  
5. Xr JB© AmH¥${V _|, `{X  D ABC ~ D QPR h¡, Vmo x H$m _mZ h¡ :  
  
(A) 5·3 cm   (B) 4·6 cm 
(C) 2·3 cm   (D) 4 cm 
6. EH$ Ý`mæ` nmgm EH$ ~ma \|$H$m OmVm h¡ & 5 go H$_ ^mÁ` g§»`m àmßV hmoZo H$s àm{`H$Vm h¡ :  
(A) 
3
1
 (B) 
3
2
 
(C) 0 (D) 
6
1
 
7. ~hþnX x
2
 – 5x + 4 _| Š`m Omo‹S>m OmE {Oggo n[aUm_r ~hþnX H$m EH$ eyÝ`H$ 3 hmo ?    
(A) 1   (B) 2  
(C) 4   (D) 5  
8. {H$gr d¥Îm H$s ñne©-aoIm dh aoIm hmoVr h¡ Omo d¥Îm H$mo ñne© H$aVr h¡ :    
(A) Ho$db EH$ hr {~ÝXþ na   (B) Xmo {~ÝXþAm| na     
(C) VrZ {~ÝXþAm| na   (D) AZ§V {~ÝXþAm| na  
 
14-430/4/3  Page 5 P.T.O.   
3. The area of the sector of a circle with radius 6 cm which subtends an 
angle of  60° at the centre of the circle is :    
(A) 
7
142
 cm
2
  (B) 
7
152
 cm
2
 
(C) 
7
132
 cm
2
 (D) 
7
122
 cm
2 
4. The roots of the quadratic equation x
2
 – 4 = 0 is/are : 
(A) 2 only  (B) – 2, 2 
(C) 4 only  (D) – 4, 4 
5. In the given figure, if  D ABC ~ D QPR, then the value of x is : 
 
  
(A) 5·3 cm   (B) 4·6 cm 
(C) 2·3 cm   (D) 4 cm 
6. A fair die is thrown once. The probability of getting a composite number 
less than 5 is : 
(A) 
3
1
 (B) 
3
2
 
(C) 0 (D) 
6
1
 
7. What should be added to the polynomial x
2
 – 5x + 4, so that 3 is a zero of 
the resulting polynomial ? 
(A) 1   (B) 2  
(C) 4   (D) 5 
8. A tangent to a circle is a line that touches the circle at : 
(A) one point only  (B) two points 
(C) three points  (D) infinite number of points