KENDRIYA VIDYALAYA NO.1, BALASORE
CLASS- XI PERIODIC TEST -1 SUB- MATHEMATICS
F.M.-50 TIME- 90 MINS
GENERAL INSTRUCTIONS:
(i) All questions are compulsory
(ii) This question paper contains 32 questions
(iii) Question 1-20 in section A are very short-answer type questions carrying 1 mark
each and the correct option is to be selected as per instruction given in the
question.
(iv) Question 21-30 from Section B are short- answer type questions carrying 2 marks
each.
(v) Question 31-32 in Section C are long answer type questions carrying 5 marks
each.
Q. NO. SECTION A Marks
1 Let S= {x|x is a positive multiple of 3 less than 100} 1
P={ x|x is a prime number less than 20}.
Then |S| + |P| =
a)34 b)31 c)33 d)30
2 If A and B are two sets then A∩ (𝐴 ∪ 𝐵) = 1
a) A b)B c)∅ d) None of these
3 A survey shows that 63% of people watch a news channel whereas 76%
watch another channel. If x% of people watch both channel then
1
a) x=35 b) x=63 c)39≤ 𝑥 ≤ 63 d)x=39
4 In a class of 60 students 25 students play cricket and 20 students play tennis, 1
10 students play both . Then no of students who play neither is
a) 0 b)25 c)35 d) 45
5 If A= ∅ then the number of elements in P(A) is 1
a)0 b) 1 c)2 d) None of these
6 Power set of A = { 1,2} is 1
a)0 b) {1} , {2} c){1,2} d){∅, {1}, { 2}, {1,2}}
, 7 Let R be the set of points inside a rectangle of sides a and b (a,b > 1)with 2 1
sides along the direction of X – axis and Y- axis. Then
a) R= {(x,y)|0≤x≤a, 0≤y≤b}
b) R= {(x,y)|0≤x<a, 0≤y≤b}
c) R= {(x,y)|0≤x≤a, 0<y<b}
d) R= {(x,y)|0<x<a, 0<y<b}
8 Let |A| = m and |B| = n . Then the total number of non-empty relations that 1
can be defined from A to B is
a)mn b) nm – 1 c)mn-1 d)2mn - 1
9 If f(x)= ax+b where a and b are integers , f(-1)= -5 and f(3)=3 then the values 1
of a and b are
a)a=-3,b= - 1 b)a=2, b= -3 c) a=0, b=2 d) a=2, b=3
10 Domain of f(x)= √𝑎2 − 𝑥 2 (a>0) is 1
a) (-a, a) b) [-a,a] c)[0,a] d)(-a,0]
4−𝑥
11 The domain and range of the real function f defined by f(x)= 𝑥−4 is 1
a)Domain=R, Range= {-1,1}
b)Domain= R – {1}, Range = R
c) Domain= R – {4}, Range = {-1}
d) Domain= R – {-4}, Range = {-1,1}
12 If R = {(x,y) | x and y are integers and x2 + y2 =64 } is a relation then R is 1
a){(0,8), (0,-8)}
b){(8,0), (-8,0)}
c){(0,8), (0,-8),(8,0),(-8,0)
d) None of these
13 If f and g are real functions defined by f(x) = x2 + 7 and g(x) =3x + 5, 1
find the value of f(3) + g (-5) =
a) 16 b)6 c)-10 d)10
CLASS- XI PERIODIC TEST -1 SUB- MATHEMATICS
F.M.-50 TIME- 90 MINS
GENERAL INSTRUCTIONS:
(i) All questions are compulsory
(ii) This question paper contains 32 questions
(iii) Question 1-20 in section A are very short-answer type questions carrying 1 mark
each and the correct option is to be selected as per instruction given in the
question.
(iv) Question 21-30 from Section B are short- answer type questions carrying 2 marks
each.
(v) Question 31-32 in Section C are long answer type questions carrying 5 marks
each.
Q. NO. SECTION A Marks
1 Let S= {x|x is a positive multiple of 3 less than 100} 1
P={ x|x is a prime number less than 20}.
Then |S| + |P| =
a)34 b)31 c)33 d)30
2 If A and B are two sets then A∩ (𝐴 ∪ 𝐵) = 1
a) A b)B c)∅ d) None of these
3 A survey shows that 63% of people watch a news channel whereas 76%
watch another channel. If x% of people watch both channel then
1
a) x=35 b) x=63 c)39≤ 𝑥 ≤ 63 d)x=39
4 In a class of 60 students 25 students play cricket and 20 students play tennis, 1
10 students play both . Then no of students who play neither is
a) 0 b)25 c)35 d) 45
5 If A= ∅ then the number of elements in P(A) is 1
a)0 b) 1 c)2 d) None of these
6 Power set of A = { 1,2} is 1
a)0 b) {1} , {2} c){1,2} d){∅, {1}, { 2}, {1,2}}
, 7 Let R be the set of points inside a rectangle of sides a and b (a,b > 1)with 2 1
sides along the direction of X – axis and Y- axis. Then
a) R= {(x,y)|0≤x≤a, 0≤y≤b}
b) R= {(x,y)|0≤x<a, 0≤y≤b}
c) R= {(x,y)|0≤x≤a, 0<y<b}
d) R= {(x,y)|0<x<a, 0<y<b}
8 Let |A| = m and |B| = n . Then the total number of non-empty relations that 1
can be defined from A to B is
a)mn b) nm – 1 c)mn-1 d)2mn - 1
9 If f(x)= ax+b where a and b are integers , f(-1)= -5 and f(3)=3 then the values 1
of a and b are
a)a=-3,b= - 1 b)a=2, b= -3 c) a=0, b=2 d) a=2, b=3
10 Domain of f(x)= √𝑎2 − 𝑥 2 (a>0) is 1
a) (-a, a) b) [-a,a] c)[0,a] d)(-a,0]
4−𝑥
11 The domain and range of the real function f defined by f(x)= 𝑥−4 is 1
a)Domain=R, Range= {-1,1}
b)Domain= R – {1}, Range = R
c) Domain= R – {4}, Range = {-1}
d) Domain= R – {-4}, Range = {-1,1}
12 If R = {(x,y) | x and y are integers and x2 + y2 =64 } is a relation then R is 1
a){(0,8), (0,-8)}
b){(8,0), (-8,0)}
c){(0,8), (0,-8),(8,0),(-8,0)
d) None of these
13 If f and g are real functions defined by f(x) = x2 + 7 and g(x) =3x + 5, 1
find the value of f(3) + g (-5) =
a) 16 b)6 c)-10 d)10
