APTITUDE TEST PREPARATION
TEST 01
MATHEMATICS
Q# 1 Let A be the set of prime numbers greater
than 40 and B is the set of positive real numbers A intersectionB = ?
a) A b)
{41, 43, 45, 47…….} c) { 23, 29, 31, 37 } d) R+.
Q# 3 The
-------- of set A and set B is the set of elements which belong to A but do not
belong to B
a)
Intersection b)
Union c) Difference d) Complement.
Q# 4 In
coordinate geometry, the
universal set contains all the points in the-----------
a) Space b) Plane c) Universe d) None
Q# 5 Members of the Power set of the set A = { a, b, c
} are
a)
4 b) 10 c) 8 d) 16.
Q# 6 ( i104
+ i17 + i30 )32 = ?
a) 1 b) i c) - 1 d) –i.
Q# 7 ( 1 + i )8 = ?
a) 64 b) -128 c) 128i d) None.
Q# 8 Roots of the equation x2 + 16 = 0 are
a)
4, - 4 b) 4i, -4i c) 4i, 4 d) None.
Q# 10 For what value of p and q the roots of the equation
x2 + (p – 4) x = -q + 5 may vanish?
a) p
= 4, q = -5 b) p = -4, q =-5 c) p = 4, q = 5 d) p = - 4, q = 5.
Q# 11 The roots of ax2 + bx + c = 0 are
rational and unequal if b2-
4ac is
a) > 0 and not a perfect square b) < 0
c) = 0
d) > 0 and a perfect square.
Q# 12 The equation whose roots are double the roots of
x2 – qx + c = 0 is
a) x2
– 2qx – 4c = 0
b) x2 – 2qx + 4c = 0
c) x2
+ 4qx + 4c = 0
d) x2 – 4qx + 4c = 0.
Q# 13 The equation ax2 + bx + c = 0 has one
root negative and other positive iff
a) b
> 0, c > 0 b) b < 0, c
> 0 c) c < 0 d) b < 0.
Q# 14 The sum of complex cube roots of
unity is
a)
0 b) 4 c)
-1 d) 1.
Q# 16 the sum of two numbers is 32 and sum of their
squares is 904, find greater number.
a)
20 b) 30 c) 40 d) 45.
Q# 17 (ω51+ ω110 )71
= ?
a) ω
b) – ω c) – ω2 d)
1- ω.
Q# 18 If α, β are the roots of the equation x2
- px + 7 = 0, and α2 + β2 =22 find the value of “p”
a)
±2radical 2 b) ± 6 c) – 6 d) None.
Q# 19 If x1, x2 are the roots of
the equation 2x2 - kx – 3 = 0, and x1 + x2
= 1 then k= ?
a) 3 b) 2 c) – 1 d) – 2.
Q# 20 Six
consecutive integers are given. The sum of the first three is 270 find the sum
of the last three.
a)290 b) 300 c) 278 d) 279
Q. 21 The
nature of the roots of the equation x2 + 7x – 8 = 0 is
(a) real,
irrational and unequal (b)
real, rational and equal
(c) real, rational
and unequal (c) complex.
Q. 22If α and β are the complex cube
rootsof unity, then (α4 + β4) +1/αβ= ?
(a) 0 (b) 2 (c) 1 (d)1/2
Q. 23If (x – 1) is a factor of the
equation x2 + ax – 4 = 0, then value of a is
(a) 2 (b) 4 (c) 10 (d) 3.
Q. 24 Find the value of m if one root
of 2x2 - mx + 3 = 0 is double the other.
(a) ± 3 (b) ± radical 3 (c) ± 3radical 3 (d) None.
Q. 25 If the equation x2 + (7 +a) x + 7a
+ 1 = 0 has equal roots then the value of a is
(a) -3 (b) 5 (c) 10 (d) None.
Answer Key
QUESTION#
|
ANSWERS
|
1
|
A
|
3
|
C
|
4
|
B
|
5
|
C
|
6
|
A
|
7
|
D
|
8
|
B
|
10
|
C
|
11
|
D
|
12
|
B
|
13
|
C
|
14
|
C
|
15
|
C
|
16
|
B
|
17
|
C
|
18
|
B
|
19
|
B
|
20
|
D
|
21
|
C
|
22
|
A
|
23
|
D
|
24
|
C
|
25
|
B
|
No comments: