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MT1
1.
2.
3.
4.
5.
6.
7.
8.
A = {x: x is a natural number less then
1} is the set of:
(a) Empty
(b) Void
(c) Hull
(d) All of the above
If a  A  a  B then:
(a) A  B
(b) A  B
(c) A  B
(d) A  B
If cardinal number of set A is 5 then
number of proper subset of A is:
(a) 32
(b) 31
(c) 36
(d) 64
If set of elements that belongs to A but
not B is:
(a) B–A
(b) A–B
(c) A  B
(d) A  B
If A  A = A, refers to the law of:
(a) Associative
(b) Commulative
(c) Idempotent
(d) None of the above
(A  B)’ = A’  B’ refers:
(a) Additional rule
(b) Bay’s rule
(c) De’morgan’s rule
(d) None of the above
The representation of set in geometrical
is called _______ diagram:
(a) Hasse
(b) Venn
(c) Organd
(d) None of the above
Intersection of  with A is:
(a) A
(b) 
(c) 
(d) None of the above
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9.
10.
11.
12.
13.
14.
15.
16.
{(p, q): p  p, q  q} belongs to:
(a) P  Q
(b) P  Q
(c) P – Q
(d) P × Q
If order pairs (x+2, 4) = 4, y–2) then
value of x, y is respectively:
(a) 2, 4
(b) 2, 2
(c) 2, 6
(d) 6, 2
The set of all second elements in a
relation R from a set A to B is called the
_______ of R.
(a) Domain
(b) Range
(c) Codomain
(d) None of the above
If R = {(4, 2), (6, 3) (8, 4)} then range is:
(a) {4, 6, 8}
(b) {2, 3, 4}
(c) {2, 2, 2}
(d) None of the above
A relation R in a set A is called
_______ relation  a  A.
(a) Symmetric
(b) Transitive
(c) Reflective
(d) None of the above
If f is a function of A to B and (a, b)  f
then:
(a) f (b) = 0
(b) f (a) = a
(c) f (b) = b
(d) f (a) = b
If f (x) = x2, g (x) = x then (f + g) x is:
(a) x2  x
(b) x + x2
(c) x2/x
(d) None of the above
If f: x  y if f (x1) = f (x2)  x1 = x2
then function is:
(a) One-one
(b) Injective
(c) Both (a) and (b)
(d) None of the above
(1)
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17. A function f : x  y s said to be
18.
19.
20.
21.
22.
23.
24.
_______ if it is both one-one and onto:
(a) One-one
(b) Onto
(c) Bijective
(d) Many one
h (x) = 2x – 5is a function that is (h :
R  R):
(a) Injunctive
(b) Not injunctive
(c) Bijective
(d) All of the above
If f : R  R, f (x) = x5 + 4 then f is:
(a) One-one
(b) Onto
(c) Both (A, and B)
(d) None of the above
The range of Signum function is:
(a) R = {R}
(b) R = {– 1, 1}
(c) R = {– 1, 0, 1}
(d) {– 1, 0}
The greatest integer value of 35 is [3 
5]
(a) 4
(b) 3
(c) 7
(d) 1
If f (x) and g (x) is polynomial of x then
f (x)/ g (x) is _______ function:
(a) Polynomial
(b) Modulus
(c) Rational
(d) Signum
A function is invertible if and only if f is
_______
(a) Injunctive
(b) Surjunctive
(c) Bijective
(d) None of the above
If a * b = e = b* a then, a, b are
_______ of each other:
(a) Identify
(b) Inverse
(c) Commulative
(d) None of the above
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25. If the value of  radian is:
(a) 90o
(b) 2 
(c) 180o
(d) 45o
26. The circular measure of 112o 30 is
_______ radian:

8
5π
(b)
8
3
(c)
(a)
8
7
(d)
8
27. The ratio of hypotenuse to base is
called:
(a) Cos 
(b) Sec 
(c) Cosec 
(d) Sin 
28. The ratio of sin  to cos  is called:
(a) Cot 
(b) Tan 
(c) Sec 
(d) Cosec 
29. The periodicity of tan x is:
(a) 
(b) /2
(c) 2 
(d) 3 /4
30. If sin x = 5/13 then tan x is:
(a) 15/5
(b) 5/12
(c) 
12
5
(d) None of the above
31. The value of cos 72o is equal to:
(a)
(b)
(c)
5 1
4
5 1
4
52
4
(d) None of the above
(2)
32. 3 cos  + sin  is equal to:
(a) 2
(b) –2
(c) 1
(d) None of the above
33. Sin–1 (sin x) is equal to:
(a) x
(b) –x
(c) 1/x
(d) None of the above
34. Sin+1 x + cos–1 x is equal to:
(a) 
(b) /2
(c) 2 
(d) 3/2
35. Domain of sin–1 x is:
(a) [– 1, 1]
(b) (1, –1)
(c) (1, 0)
(d) (0, 1)
36. tan–1 x + cot–1 x =
(a) 
(b) 2
(c) /2
(d) /3
37. cos–1 (–x) is equal to:
(a) 
(b) – cos–1 x
(c)  + cos–1 x
(d)  – sin–1 x
38. If cosec  + cot  = 2  3 then sin  is:
(a) 1/3
(b) 2/3
(c) (c)
3/2
(d) None of the above
39. The value of tan 15o is:
(a) 2  3
2
(b)
2
3 2
(c) 2  3
(d) None of the above
40. Cos–1 (cos 7/6) is equal to:
(a) 7 /6
(b) 5 /6
(c) Both A and B
(d) None of the above
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41. What

is
the
11   23
(a)
 23
(b)
23

imaging
MT1
part of
(c) 11
(d) None of the above
42. What
is
 1  i 3 
the
additive
inverse
of
(a)  1  1i 3
(b) 1  i 3
(c)  1  i 3
(d) None of the above
43. If z1 = 3 2i + z2 = – 5 + 4 i then (z1 + z2)
is:
(a)
(b)
(c)
(d)
44.
2 – 6i
2 + 6i
–2 + 6i
None of the above
2  3i
1  3i
 a  ib then value of a is:
(–1) 42
(–1) 43
(–1) 4–1
None of the above
45. If z = a + i b then modulus of z is:
(a) (a)
ab
2
2 1/2
(b) (a +b )
(a)
(b)
(c)
(d)
a 1 / 2  b1 / 2
(c) (c)
(d) None of the above
46. If z = a + i b then polar form of
complex number:
(a) r (cos  i sin )
(b) r (cos  | i sin )
(c) r cos 
(d) i r sin 
47. The argument of z = a + i b = r (cos  +
sin ) is:
a
b
b
(b) tan 1  
a
(a) tan 1  
(c) tan–1 (a b)
(d) tan–1 (c)
(3)
MT1
48. The value of i4 is:
(a) –1
(b) 1
(c) 0
(d) None of the above
49. The value of npr is equal to:
(a)
Ln
Lr Ln  r
(c)
Ln
Ln r
50. Solution of 10P4 is:
(a) 1080
(b) 5040
(c) 5020
(d) None of the above
51. The numbers of arrangements of letters
56.
in the word ‘MATHEMATICS’
L11
2
2
57.
2
L L L
(b)
(c)
(d)
L12
L2 L2 L4
L13
L2 L2 L3
58.
L11
L2 L2 L2
52. The value of (nco + ncn) is:
(a) 1
(b) 0
(c) 0–1
(d) None of the above
53. A bag contains 2 red, 6 p mk, 7 green
and 5 black balls are drawn from the
bag. Find the numbers of way of
selecting 8 balls such that the selection
consists of 2 balls of each other.
(a) 1024
(b) 3150
(c) 3205
(d) 2025
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Ln
Lr Ln  r
(b)
Ln
Lr Ln  r
(c)
Ln
Ln  r
55. Arrangement made out of given number
L
Lr Ln
(d) None of the above
(a)
(a)
(d) None of the above
n
(b)
54. What is the value of nCr =
59.
60.
of then is:
(a) Combination
(b) Permutation
(c) Both A and B
(d) None of the above
Selection made out of given number of
things:
(a) Combination
(b) Permutation
(c) Both (a) and (b)
(d) None of the above
If nC10 = nC15 then value of 27Cn is:
(a) 350
(b) 351
(c) 352
(d) None of the above
How many words can be formed by
using all the letters of word
“Allahabad”.
(a) 7860
(b) 7560
(c) 6507
(d) None of the above
n (n – 1) (n–2) …. 3  2  1 is:
(a) npr
(b) ncr
(c) Ln
(d) None of the above
n
C0 + nC1 + nC2 + …. + nCn–1 + nCn
(a) 2n–1
(b) 2n
(c) 2n–2
(d) None of the above
(4)
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2
61. Find the coefficient of x

expansion of 1 / 2  x

in the
105
32
(c)
101
32
66. An arrangement of number in a definite
67.
(d) None of the above
62. The
coefficient of x
10
 2 1  is:
x  

6
in can of
x
640
230
210
None of the above
63. The binomial theorem discovered by:
(a) Einstein
(b) Bays
(c) Newton
(d) Galeleo
64. The sum of indices in the expansion (a
+ b)n, of a and b is:
(a) n
(b) n–1
(c) n+1
(d) None of the above
2n
65. In the expansion of  x  1  , the middle
(a)
(b)
(c)
(d)

term is:
(a) nth
(b) (n+2)th
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(c) (n+1)
(d) None of the above
10
32
(a)
105
(b)
th
x
68.
69.
70.
order following some rule is known as–
(a) Term
(b) Sequence
(c) Series
(d) None of the above
The 15th term of the sequence 3, –3, –9,
– 15, is
(a) 81
(b) –81
(c) 85
(d) –85
Find the sum of sequence 3 + 7 + 11 +
….. 79
(a) 830
(b) 850
(c) 820
(d) 720
If a, b, c are in A.P. then:
(a) 2b = a + c
(b) b = a+c/2
(c) Both (a) and (b)
(d) None of the above
The arithmetic mean of 18 and 16 is:
(a) 18
(b) 16
(c) 17
(d) 18
(5)