ULTIMATE MATHEMATICS QUESIOTN PAPER
CLASS–XI MAX. MARKS–80
SUB.-MATHEMATICS TIME–03/Hours
General Instructions:
1. Thisquestionpapercontains-fivesectionsA,B,C,DandE.Eachsection iscompulsory.However,there are
internal choices in some questions.
2. SectionAhas18MCQ’sand02Assertion–Reason basedquestionsof1markeach.
3. SectionBhas5VeryShortAnswer(VSA)-typequestionsof2marks each.
4. SectionChas6ShortAnswer(SA)-typequestionsof3marks each.
5. SectionDhas6LongAnswer(LA)-typequestionsof5markseach.
6. Section Ehas3sourcebased/casebased/passagebased/integratedunitofassessment (4markseach) with
sub parts.
Sr. SECTION-A Marks
No. (MultipleChoiceQuestions)
1. Thenumberofsubsetsofasetcontaining ‘n’elementsis128.Thevalueofn is
(A)5 (B)6 (C)7 (D)8 1
2. Thesetofintegers𝑍={…,−3,−2,−1,0,1,2,3,…}
IfX={x∶xisapositiveintegerand0≤x≤2}, thenXequalsto
(A)[0,2] (B)(0,2) (C){0,1,2} (D){1,2} 1
2𝜋
3. Thevalue of tan is 1
3
1 1
(A)− √3 (B)√3 (C) − (D)
√3 √3
4. Acommitteeof8personsisformedtolookafterthecleanlinessofschool.Forthispurpose, a 1
chairman and a vice chairman are to be chosen among them. The number of ways in which
this can be done assuming one person cannot hold more than one position is
(A)56 (B) 28 (C)112 (D)14
5. Thevalueofsin(450+𝜃)–cos(450-𝜃)is 1
(A)√2𝑐𝑜𝑠𝜃 (B)√2𝑠𝑖𝑛𝜃 (C)1 (D)0
6. IfA𝑎𝑛𝑑𝐵aretwosetsthenA∩(𝐴∪𝐵)equalsto 1
(A)𝐴 ∪𝐵 (B)𝐴∩𝐵 (C)A (D)B
1
7. Theperpendicular distancefromthepoint(0,)ontheline9𝑥+ 40𝑦+103=0is (in
2
1
units)
(A)5 (B)3 (C)2 (D)6
8. Let A={a, b,c,d},B={-1,0,1}Thenthenumberofelementsin A×Bis 1
(A)16 (B)12 (C)64 (D) 212
, 9. TwoeventsAandBaresaidtobemutuallyexclusiveif𝐴∩ 𝐵=∅
2 3 1
IfP(A)= , P(B)= andA,BaremutuallyexclusiveeventsthenP(AorB)equalsto
5 7
19 35 29 35
(A) 35 (B) 19
(C) 35
(D) 29
CLASS–XI MAX. MARKS–80
SUB.-MATHEMATICS TIME–03/Hours
General Instructions:
1. Thisquestionpapercontains-fivesectionsA,B,C,DandE.Eachsection iscompulsory.However,there are
internal choices in some questions.
2. SectionAhas18MCQ’sand02Assertion–Reason basedquestionsof1markeach.
3. SectionBhas5VeryShortAnswer(VSA)-typequestionsof2marks each.
4. SectionChas6ShortAnswer(SA)-typequestionsof3marks each.
5. SectionDhas6LongAnswer(LA)-typequestionsof5markseach.
6. Section Ehas3sourcebased/casebased/passagebased/integratedunitofassessment (4markseach) with
sub parts.
Sr. SECTION-A Marks
No. (MultipleChoiceQuestions)
1. Thenumberofsubsetsofasetcontaining ‘n’elementsis128.Thevalueofn is
(A)5 (B)6 (C)7 (D)8 1
2. Thesetofintegers𝑍={…,−3,−2,−1,0,1,2,3,…}
IfX={x∶xisapositiveintegerand0≤x≤2}, thenXequalsto
(A)[0,2] (B)(0,2) (C){0,1,2} (D){1,2} 1
2𝜋
3. Thevalue of tan is 1
3
1 1
(A)− √3 (B)√3 (C) − (D)
√3 √3
4. Acommitteeof8personsisformedtolookafterthecleanlinessofschool.Forthispurpose, a 1
chairman and a vice chairman are to be chosen among them. The number of ways in which
this can be done assuming one person cannot hold more than one position is
(A)56 (B) 28 (C)112 (D)14
5. Thevalueofsin(450+𝜃)–cos(450-𝜃)is 1
(A)√2𝑐𝑜𝑠𝜃 (B)√2𝑠𝑖𝑛𝜃 (C)1 (D)0
6. IfA𝑎𝑛𝑑𝐵aretwosetsthenA∩(𝐴∪𝐵)equalsto 1
(A)𝐴 ∪𝐵 (B)𝐴∩𝐵 (C)A (D)B
1
7. Theperpendicular distancefromthepoint(0,)ontheline9𝑥+ 40𝑦+103=0is (in
2
1
units)
(A)5 (B)3 (C)2 (D)6
8. Let A={a, b,c,d},B={-1,0,1}Thenthenumberofelementsin A×Bis 1
(A)16 (B)12 (C)64 (D) 212
, 9. TwoeventsAandBaresaidtobemutuallyexclusiveif𝐴∩ 𝐵=∅
2 3 1
IfP(A)= , P(B)= andA,BaremutuallyexclusiveeventsthenP(AorB)equalsto
5 7
19 35 29 35
(A) 35 (B) 19
(C) 35
(D) 29
