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 Page 1


 
 .430/4/1 1 P.T.O. 
narjmWu H$moS >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð 
>na Adí` {bIo§ & 
Candidates must write the Code on the 
title page of the answer-book. 
  H$moS> Z§.  
   
 
 
Code No. 
amob Z§. 
Roll No. 
 
 
 
 
ZmoQ> 
 NOTE 
(I) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV 
n¥ð> 19 h¢ & 
(I) Please check that this question 
paper contains 19 printed pages. 
(II) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE H$moS 
>Zå~a H$mo N>mÌ CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
(II) Code number given on the right 
hand side of the question paper 
should be written on the title page of 
the answer-book by the candidate. 
(III) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _|  
>40 àíZ h¢ & 
(III) Please check that this question 
paper contains 40 questions. 
(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| & 
(IV) 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 & 
(V) 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 
 
430/4/1
 
Page 2


 
 .430/4/1 1 P.T.O. 
narjmWu H$moS >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð 
>na Adí` {bIo§ & 
Candidates must write the Code on the 
title page of the answer-book. 
  H$moS> Z§.  
   
 
 
Code No. 
amob Z§. 
Roll No. 
 
 
 
 
ZmoQ> 
 NOTE 
(I) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV 
n¥ð> 19 h¢ & 
(I) Please check that this question 
paper contains 19 printed pages. 
(II) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE H$moS 
>Zå~a H$mo N>mÌ CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
(II) Code number given on the right 
hand side of the question paper 
should be written on the title page of 
the answer-book by the candidate. 
(III) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _|  
>40 àíZ h¢ & 
(III) Please check that this question 
paper contains 40 questions. 
(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| & 
(IV) 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 & 
(V) 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 
 
430/4/1
 
 
 .430/4/1 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$s{OE : 
(i) àíZ-nÌ Mma IÊS>m| _| {d^m{OV {H$`m J`m h¡ – H$, I, J Ed§ K & Bg àíZ-nÌ _|  
40 àíZ h¢ & g^r àíZ A{Zdm`© h¢ &  
(ii) IÊS> H$ _| àíZ g§»`m 1 go 20 VH$ 20 àíZ h¢ Ed§ àË`oH$ àíZ EH$ A§H$ H$m h¡ &  
(iii) IÊS> I _| àíZ g§»`m 21 go 26 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Xmo A§H$m| H$m h¡ &  
(iv) IÊS> J _| àíZ g§»`m 27 go 34 VH$ 8 àíZ h¢ Ed§ àË`oH$ àíZ VrZ A§H$m| H$m h¡ & 
(v) IÊS> K _| àíZ g§»`m 35 go 40 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Mma A§H$m| H$m h¡ & 
(vi) àíZ-nÌ _| g_J« na H$moB© {dH$ën Zht h¡ & VWm{n EH$-EH$ A§H$ dmbo Xmo àíZm| _|, Xmo-Xmo 
A§H$m| dmbo Xmo àíZm| _|, VrZ-VrZ A§H$m| dmbo VrZ àíZm| _|, Mma-Mma A§H$m| dmbo VrZ àíZm| 
_| Am§V[aH$ {dH$ën {XE JE h¢ & Eogo àíZm| _| Ho$db EH$ hr {dH$ën H$m CÎma {b{IE &  
(vii) BgHo$ A{V[aº$, Amdí`H$VmZwgma, àË`oH$ IÊS> Am¡a àíZ Ho$ gmW `Wmo{MV {ZX}e {XE JE 
h¢ & 
(viii) H¡$bHw$boQ>a Ho$ à`moJ H$s AZw_{V Zht h¡ & 
IÊS> H$ 
àíZ g§»`m 1 go 20 VH$ àË`oH$ àíZ 1 A§H$ H$m h¡ & 
àíZ g§»`m 1 go 10 _| ghr {dH$ën Mw{ZE &  
1. {X`m J`m h¡ HCF (156, 78) = 78 h¡, Vmo LCM (156, 78) H$m _mZ h¡ 
(A) 156 
(B) 78 
(C) 156 ? 78 
(D) 156 ? 2 
2. Xmo g_ê$n {Ì^wOm| H$s ^wOmAm| H$m AZwnmV 4 : 9 h¡ & BZ {Ì^wOm| Ho$ joÌ\$bm| H$m AZwnmV h¡  
(A) 4 : 9 
(B) 2 : 3 
(C) 81 : 16 
(D) 16 : 81 
Page 3


 
 .430/4/1 1 P.T.O. 
narjmWu H$moS >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð 
>na Adí` {bIo§ & 
Candidates must write the Code on the 
title page of the answer-book. 
  H$moS> Z§.  
   
 
 
Code No. 
amob Z§. 
Roll No. 
 
 
 
 
ZmoQ> 
 NOTE 
(I) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV 
n¥ð> 19 h¢ & 
(I) Please check that this question 
paper contains 19 printed pages. 
(II) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE H$moS 
>Zå~a H$mo N>mÌ CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
(II) Code number given on the right 
hand side of the question paper 
should be written on the title page of 
the answer-book by the candidate. 
(III) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _|  
>40 àíZ h¢ & 
(III) Please check that this question 
paper contains 40 questions. 
(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| & 
(IV) 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 & 
(V) 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 
 
430/4/1
 
 
 .430/4/1 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$s{OE : 
(i) àíZ-nÌ Mma IÊS>m| _| {d^m{OV {H$`m J`m h¡ – H$, I, J Ed§ K & Bg àíZ-nÌ _|  
40 àíZ h¢ & g^r àíZ A{Zdm`© h¢ &  
(ii) IÊS> H$ _| àíZ g§»`m 1 go 20 VH$ 20 àíZ h¢ Ed§ àË`oH$ àíZ EH$ A§H$ H$m h¡ &  
(iii) IÊS> I _| àíZ g§»`m 21 go 26 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Xmo A§H$m| H$m h¡ &  
(iv) IÊS> J _| àíZ g§»`m 27 go 34 VH$ 8 àíZ h¢ Ed§ àË`oH$ àíZ VrZ A§H$m| H$m h¡ & 
(v) IÊS> K _| àíZ g§»`m 35 go 40 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Mma A§H$m| H$m h¡ & 
(vi) àíZ-nÌ _| g_J« na H$moB© {dH$ën Zht h¡ & VWm{n EH$-EH$ A§H$ dmbo Xmo àíZm| _|, Xmo-Xmo 
A§H$m| dmbo Xmo àíZm| _|, VrZ-VrZ A§H$m| dmbo VrZ àíZm| _|, Mma-Mma A§H$m| dmbo VrZ àíZm| 
_| Am§V[aH$ {dH$ën {XE JE h¢ & Eogo àíZm| _| Ho$db EH$ hr {dH$ën H$m CÎma {b{IE &  
(vii) BgHo$ A{V[aº$, Amdí`H$VmZwgma, àË`oH$ IÊS> Am¡a àíZ Ho$ gmW `Wmo{MV {ZX}e {XE JE 
h¢ & 
(viii) H¡$bHw$boQ>a Ho$ à`moJ H$s AZw_{V Zht h¡ & 
IÊS> H$ 
àíZ g§»`m 1 go 20 VH$ àË`oH$ àíZ 1 A§H$ H$m h¡ & 
àíZ g§»`m 1 go 10 _| ghr {dH$ën Mw{ZE &  
1. {X`m J`m h¡ HCF (156, 78) = 78 h¡, Vmo LCM (156, 78) H$m _mZ h¡ 
(A) 156 
(B) 78 
(C) 156 ? 78 
(D) 156 ? 2 
2. Xmo g_ê$n {Ì^wOm| H$s ^wOmAm| H$m AZwnmV 4 : 9 h¡ & BZ {Ì^wOm| Ho$ joÌ\$bm| H$m AZwnmV h¡  
(A) 4 : 9 
(B) 2 : 3 
(C) 81 : 16 
(D) 16 : 81 
 
 .430/4/1 3 P.T.O. 
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper comprises four sections – A, B, C and D. This question 
paper carries 40 questions. All questions are compulsory. 
(ii) Section A : Question Numbers 1 to 20 comprises of 20 questions of one mark 
each. 
(iii) Section B : Question Numbers 21 to 26 comprises of 6 questions of two marks 
each. 
(iv) Section C : Question Numbers 27 to 34 comprises of 8 questions of three marks 
each. 
(v) Section D : Question Numbers 35 to 40 comprises of 6 questions of four marks 
each. 
(vi) There is no overall choice in the question paper. However, an internal choice 
has been provided in 2 questions of one mark, 2 questions of two marks,  
3 questions of three marks and 3 questions of four marks. You have to attempt 
only one of the choices in such questions.  
(vii) In addition to this, separate instructions are given with each section and 
question, wherever necessary. 
(viii) Use of calculators is not permitted. 
SECTION A 
Question numbers 1 to 20 carry 1 mark each.  
Choose the correct option in question numbers 1 to 10.   
1. Given that HCF (156, 78) = 78, LCM (156, 78) is 
(A) 156 
(B) 78 
(C) 156 ? 78 
(D) 156 ? 2 
2. Sides of two similar triangles are in the ratio 4 : 9. Areas of these 
triangles are in the ratio 
(A) 4 : 9 
(B) 2 : 3 
(C) 81 : 16 
(D) 16 : 81 
Page 4


 
 .430/4/1 1 P.T.O. 
narjmWu H$moS >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð 
>na Adí` {bIo§ & 
Candidates must write the Code on the 
title page of the answer-book. 
  H$moS> Z§.  
   
 
 
Code No. 
amob Z§. 
Roll No. 
 
 
 
 
ZmoQ> 
 NOTE 
(I) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV 
n¥ð> 19 h¢ & 
(I) Please check that this question 
paper contains 19 printed pages. 
(II) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE H$moS 
>Zå~a H$mo N>mÌ CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
(II) Code number given on the right 
hand side of the question paper 
should be written on the title page of 
the answer-book by the candidate. 
(III) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _|  
>40 àíZ h¢ & 
(III) Please check that this question 
paper contains 40 questions. 
(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| & 
(IV) 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 & 
(V) 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 
 
430/4/1
 
 
 .430/4/1 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$s{OE : 
(i) àíZ-nÌ Mma IÊS>m| _| {d^m{OV {H$`m J`m h¡ – H$, I, J Ed§ K & Bg àíZ-nÌ _|  
40 àíZ h¢ & g^r àíZ A{Zdm`© h¢ &  
(ii) IÊS> H$ _| àíZ g§»`m 1 go 20 VH$ 20 àíZ h¢ Ed§ àË`oH$ àíZ EH$ A§H$ H$m h¡ &  
(iii) IÊS> I _| àíZ g§»`m 21 go 26 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Xmo A§H$m| H$m h¡ &  
(iv) IÊS> J _| àíZ g§»`m 27 go 34 VH$ 8 àíZ h¢ Ed§ àË`oH$ àíZ VrZ A§H$m| H$m h¡ & 
(v) IÊS> K _| àíZ g§»`m 35 go 40 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Mma A§H$m| H$m h¡ & 
(vi) àíZ-nÌ _| g_J« na H$moB© {dH$ën Zht h¡ & VWm{n EH$-EH$ A§H$ dmbo Xmo àíZm| _|, Xmo-Xmo 
A§H$m| dmbo Xmo àíZm| _|, VrZ-VrZ A§H$m| dmbo VrZ àíZm| _|, Mma-Mma A§H$m| dmbo VrZ àíZm| 
_| Am§V[aH$ {dH$ën {XE JE h¢ & Eogo àíZm| _| Ho$db EH$ hr {dH$ën H$m CÎma {b{IE &  
(vii) BgHo$ A{V[aº$, Amdí`H$VmZwgma, àË`oH$ IÊS> Am¡a àíZ Ho$ gmW `Wmo{MV {ZX}e {XE JE 
h¢ & 
(viii) H¡$bHw$boQ>a Ho$ à`moJ H$s AZw_{V Zht h¡ & 
IÊS> H$ 
àíZ g§»`m 1 go 20 VH$ àË`oH$ àíZ 1 A§H$ H$m h¡ & 
àíZ g§»`m 1 go 10 _| ghr {dH$ën Mw{ZE &  
1. {X`m J`m h¡ HCF (156, 78) = 78 h¡, Vmo LCM (156, 78) H$m _mZ h¡ 
(A) 156 
(B) 78 
(C) 156 ? 78 
(D) 156 ? 2 
2. Xmo g_ê$n {Ì^wOm| H$s ^wOmAm| H$m AZwnmV 4 : 9 h¡ & BZ {Ì^wOm| Ho$ joÌ\$bm| H$m AZwnmV h¡  
(A) 4 : 9 
(B) 2 : 3 
(C) 81 : 16 
(D) 16 : 81 
 
 .430/4/1 3 P.T.O. 
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper comprises four sections – A, B, C and D. This question 
paper carries 40 questions. All questions are compulsory. 
(ii) Section A : Question Numbers 1 to 20 comprises of 20 questions of one mark 
each. 
(iii) Section B : Question Numbers 21 to 26 comprises of 6 questions of two marks 
each. 
(iv) Section C : Question Numbers 27 to 34 comprises of 8 questions of three marks 
each. 
(v) Section D : Question Numbers 35 to 40 comprises of 6 questions of four marks 
each. 
(vi) There is no overall choice in the question paper. However, an internal choice 
has been provided in 2 questions of one mark, 2 questions of two marks,  
3 questions of three marks and 3 questions of four marks. You have to attempt 
only one of the choices in such questions.  
(vii) In addition to this, separate instructions are given with each section and 
question, wherever necessary. 
(viii) Use of calculators is not permitted. 
SECTION A 
Question numbers 1 to 20 carry 1 mark each.  
Choose the correct option in question numbers 1 to 10.   
1. Given that HCF (156, 78) = 78, LCM (156, 78) is 
(A) 156 
(B) 78 
(C) 156 ? 78 
(D) 156 ? 2 
2. Sides of two similar triangles are in the ratio 4 : 9. Areas of these 
triangles are in the ratio 
(A) 4 : 9 
(B) 2 : 3 
(C) 81 : 16 
(D) 16 : 81 
 
 .430/4/1 4 
3. q~XþAm| (– 1, – 3) VWm (5, – 2) Ho$ ~rM H$s Xÿar h¡ 
(A) 61 BH$mB© 
(B) 37 BH$mB© 
(C) 5 BH$mB© 
(D) 17 BH$mB© 
4. {ÛKmV g_rH$aU 2x
2
 – 4x + 3 = 0 H$m {d{dº$H$a (discriminant) h¡ 
(A) – 8 
(B) 10 
(C) 8 
(D) 2 2 
 AWdm 
{ÛKmV g_rH$aU 2x
2
 – 4x + 3 = 0 Ho$ _yb h¢  
(A) dmñV{dH$ VWm ~am~a  
(B) dmñV{dH$ VWm {^Þ  
(C) dmñV{dH$ Zht  
(D) dmñV{dH$  
5. {XImB© JB© AmH¥${V-1 Ho$ AZwgma, ~hþnX p(x) Ho$ eyÝ`H$m| H$s g§»`m h¡ 
  
        AmH¥${V-1 
(A) 3 
(B) 2 
(C) 1 
(D) 0 
Page 5


 
 .430/4/1 1 P.T.O. 
narjmWu H$moS >H$mo CÎma-nwpñVH$m Ho$ _wI-n¥ð 
>na Adí` {bIo§ & 
Candidates must write the Code on the 
title page of the answer-book. 
  H$moS> Z§.  
   
 
 
Code No. 
amob Z§. 
Roll No. 
 
 
 
 
ZmoQ> 
 NOTE 
(I) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _o§ _w{ÐV 
n¥ð> 19 h¢ & 
(I) Please check that this question 
paper contains 19 printed pages. 
(II) 
àíZ-nÌ _| Xm{hZo hmW H$s Amoa {XE JE H$moS 
>Zå~a H$mo N>mÌ CÎma-nwpñVH$m Ho$ _wI-n¥ð> na 
{bI| & 
(II) Code number given on the right 
hand side of the question paper 
should be written on the title page of 
the answer-book by the candidate. 
(III) 
H¥$n`m Om±M H$a b| {H$ Bg àíZ-nÌ _|  
>40 àíZ h¢ & 
(III) Please check that this question 
paper contains 40 questions. 
(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| & 
(IV) 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 & 
(V) 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 
 
430/4/1
 
 
 .430/4/1 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$s{OE : 
(i) àíZ-nÌ Mma IÊS>m| _| {d^m{OV {H$`m J`m h¡ – H$, I, J Ed§ K & Bg àíZ-nÌ _|  
40 àíZ h¢ & g^r àíZ A{Zdm`© h¢ &  
(ii) IÊS> H$ _| àíZ g§»`m 1 go 20 VH$ 20 àíZ h¢ Ed§ àË`oH$ àíZ EH$ A§H$ H$m h¡ &  
(iii) IÊS> I _| àíZ g§»`m 21 go 26 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Xmo A§H$m| H$m h¡ &  
(iv) IÊS> J _| àíZ g§»`m 27 go 34 VH$ 8 àíZ h¢ Ed§ àË`oH$ àíZ VrZ A§H$m| H$m h¡ & 
(v) IÊS> K _| àíZ g§»`m 35 go 40 VH$ 6 àíZ h¢ Ed§ àË`oH$ àíZ Mma A§H$m| H$m h¡ & 
(vi) àíZ-nÌ _| g_J« na H$moB© {dH$ën Zht h¡ & VWm{n EH$-EH$ A§H$ dmbo Xmo àíZm| _|, Xmo-Xmo 
A§H$m| dmbo Xmo àíZm| _|, VrZ-VrZ A§H$m| dmbo VrZ àíZm| _|, Mma-Mma A§H$m| dmbo VrZ àíZm| 
_| Am§V[aH$ {dH$ën {XE JE h¢ & Eogo àíZm| _| Ho$db EH$ hr {dH$ën H$m CÎma {b{IE &  
(vii) BgHo$ A{V[aº$, Amdí`H$VmZwgma, àË`oH$ IÊS> Am¡a àíZ Ho$ gmW `Wmo{MV {ZX}e {XE JE 
h¢ & 
(viii) H¡$bHw$boQ>a Ho$ à`moJ H$s AZw_{V Zht h¡ & 
IÊS> H$ 
àíZ g§»`m 1 go 20 VH$ àË`oH$ àíZ 1 A§H$ H$m h¡ & 
àíZ g§»`m 1 go 10 _| ghr {dH$ën Mw{ZE &  
1. {X`m J`m h¡ HCF (156, 78) = 78 h¡, Vmo LCM (156, 78) H$m _mZ h¡ 
(A) 156 
(B) 78 
(C) 156 ? 78 
(D) 156 ? 2 
2. Xmo g_ê$n {Ì^wOm| H$s ^wOmAm| H$m AZwnmV 4 : 9 h¡ & BZ {Ì^wOm| Ho$ joÌ\$bm| H$m AZwnmV h¡  
(A) 4 : 9 
(B) 2 : 3 
(C) 81 : 16 
(D) 16 : 81 
 
 .430/4/1 3 P.T.O. 
General Instructions : 
Read the following instructions very carefully and strictly follow them : 
(i) This question paper comprises four sections – A, B, C and D. This question 
paper carries 40 questions. All questions are compulsory. 
(ii) Section A : Question Numbers 1 to 20 comprises of 20 questions of one mark 
each. 
(iii) Section B : Question Numbers 21 to 26 comprises of 6 questions of two marks 
each. 
(iv) Section C : Question Numbers 27 to 34 comprises of 8 questions of three marks 
each. 
(v) Section D : Question Numbers 35 to 40 comprises of 6 questions of four marks 
each. 
(vi) There is no overall choice in the question paper. However, an internal choice 
has been provided in 2 questions of one mark, 2 questions of two marks,  
3 questions of three marks and 3 questions of four marks. You have to attempt 
only one of the choices in such questions.  
(vii) In addition to this, separate instructions are given with each section and 
question, wherever necessary. 
(viii) Use of calculators is not permitted. 
SECTION A 
Question numbers 1 to 20 carry 1 mark each.  
Choose the correct option in question numbers 1 to 10.   
1. Given that HCF (156, 78) = 78, LCM (156, 78) is 
(A) 156 
(B) 78 
(C) 156 ? 78 
(D) 156 ? 2 
2. Sides of two similar triangles are in the ratio 4 : 9. Areas of these 
triangles are in the ratio 
(A) 4 : 9 
(B) 2 : 3 
(C) 81 : 16 
(D) 16 : 81 
 
 .430/4/1 4 
3. q~XþAm| (– 1, – 3) VWm (5, – 2) Ho$ ~rM H$s Xÿar h¡ 
(A) 61 BH$mB© 
(B) 37 BH$mB© 
(C) 5 BH$mB© 
(D) 17 BH$mB© 
4. {ÛKmV g_rH$aU 2x
2
 – 4x + 3 = 0 H$m {d{dº$H$a (discriminant) h¡ 
(A) – 8 
(B) 10 
(C) 8 
(D) 2 2 
 AWdm 
{ÛKmV g_rH$aU 2x
2
 – 4x + 3 = 0 Ho$ _yb h¢  
(A) dmñV{dH$ VWm ~am~a  
(B) dmñV{dH$ VWm {^Þ  
(C) dmñV{dH$ Zht  
(D) dmñV{dH$  
5. {XImB© JB© AmH¥${V-1 Ho$ AZwgma, ~hþnX p(x) Ho$ eyÝ`H$m| H$s g§»`m h¡ 
  
        AmH¥${V-1 
(A) 3 
(B) 2 
(C) 1 
(D) 0 
 
 .430/4/1 5 P.T.O. 
3. The distance between the points (– 1, – 3) and (5, – 2) is 
(A) 61 units 
(B) 37 units 
(C) 5 units 
(D) 17 units 
4. The discriminant of the quadratic equation  2x
2
 – 4x + 3 = 0  is 
(A) – 8 
(B) 10 
(C) 8 
(D) 2 2 
    OR 
Roots of the quadratic equation  2x
2
 – 4x + 3 = 0  are 
(A) real and equal 
(B) real and distinct 
(C) not real 
(D) real 
5. Number of zeroes of the polynomial p(x) shown in Figure-1, are 
  
       Figure-1 
(A) 3 
(B) 2 
(C) 1 
(D) 0 
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FAQs on Class 10 Mathematics: Question Paper for 2020 - 2 - Mathematics (Maths) Class 10

1. How can I access the Class 10 Mathematics Question Paper for 2020?
Ans. The Class 10 Mathematics Question Paper for 2020 can be accessed through various sources. You can check with your school or educational board for official copies. Additionally, many websites and online platforms provide past year question papers, which can be downloaded or viewed online.
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Ans. The availability of the Class 10 Mathematics Question Paper for 2020 in regional languages may vary depending on your educational board. Some boards may provide question papers in regional languages, while others may only have them in the official language of instruction. It is best to check with your school or educational board for specific information regarding the availability of question papers in your regional language.
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Ans. Yes, many websites and educational platforms offer the Class 10 Mathematics Question Papers for 2020 in PDF format. PDF files are commonly used for distributing printable documents and can be easily downloaded or viewed on various devices. You can search for the question papers in PDF format on search engines or educational websites to find the desired file.
4. Are the Class 10 Mathematics Question Papers for 2020 available in solved format?
Ans. Yes, you can find solved versions of the Class 10 Mathematics Question Papers for 2020. Many educational websites and online platforms provide solutions or answer keys for the question papers. These solutions can be helpful for self-assessment and understanding the correct approach to solving the questions. You can search for the solved question papers on search engines or educational websites to find the desired resources.
5. How can I use the Class 10 Mathematics Question Papers for 2020 to prepare for my exams?
Ans. The Class 10 Mathematics Question Papers for 2020 can be a valuable resource for exam preparation. By solving these question papers, you can familiarize yourself with the exam pattern, time management, and the types of questions asked in the actual exam. It is recommended to solve the question papers under timed conditions to simulate the exam environment. Analyzing your performance and identifying areas of improvement based on the question papers can help you focus your study efforts effectively.
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