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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
sec x tan x
cos
2
x
sin
2
x
sec
2
x
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Question # 2
The perimeter of a sector of a central angle of measure 1 radian out off an are of length 35cm is
Choose an answer
35 cm
70 cm
140 cm
105 cm
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Question # 3
If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2
Choose an answer
36 +(-32)i
-36+32i
6+(-11)i
0, +(-12)i
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Question # 4
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Question # 5
Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if
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c = 0
c = 0,b≠ 0
b = 0,c = 0
b = 0,c≠ 0
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Question # 6
General solution of tan 5
θ
= cot 2
θ
is
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Question # 7
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Question # 8
The sample space for tossing a coin twice is
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{H, T}
{HH, HT, TH, TT}
{H, T, HH}
{HH, HT, TT}
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Question # 9
∛8.6 is approximately equal to
Choose an answer
2.488
2.48
2.0488
2.05
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Question # 10
The measure of the angle subtended at the centre of the circle by an arc, whose length is equal to the radius of the circle is
Choose an answer
1
0
1'
1"
1 rad
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Question # 11
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0
1
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Question # 12
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-8
8
8i
32
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Question # 13
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 14
If (1+x-2x
3
)
6
= 1+a
1
x + a
2
x
2
+ a
3
x
3
+ ..... the the value of a
2
+ a
4
+ a
6
+ .....+a
12
will be
Choose an answer
32
31
64
1024
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Question # 15
Circle x
2
+ y
2
- 2y -y = 0 and x
2
+ y
2
- 8y -4 =0:
Choose an answer
Interesect
touch externally
touch internally
do not touch
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Question # 16
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Question # 17
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K/6
2K
3K
6K
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Question # 18
The transpose of a row matrix is a ______
Choose an answer
Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 19
The additive inverse of 1 is
Choose an answer
1
-1
0
Does not exist
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Question # 20
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Question # 21
The equation of the circle with centre (5, -2) and radius 4 is
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(x-5)
2
+ (y+2)
2
= 16
(x-5)
2
+ (y+2)
2
= 4
(x-5)
2
+ (y-2)
2
= 16
(x-5)
2
+ (y-2)
2
= 4
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Question # 22
i =
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Question # 23
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 24
For any set B, BUB' is
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Is set B
Set B'
Universal set
None of these
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Question # 25
Choose an answer
none of these
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Question # 26
If #n = (n-5)
2
+ 5, then find #3 x #4.
Choose an answer
54
12
4
9
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Question # 27
If distance of (a,b) from x-axis is 2 then
Choose an answer
a = 2
b = 2
a = b
b = 4
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Question # 28
If sin
θ
and cos
θ
are the roots of the equation ax
2
- bx + c = 0, then a, b, c satisfy the relation
Choose an answer
b
2
- a
2
= 2ac
A
2
- b
2
= 2ac
A
2
+ b
2
= c
2
B
2
+ a
2
= 2ac
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Question # 29
sin
α=
Choose an answer
2 sin
α
cos
α
2 sin
α
cos
β
2 sin
α
/2 cos
α
/2
1+ tan
2
α
/2
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Question # 30
If S
r
denotes the sum of the first r terms of a G.P., then S
n
, S
2n
- S
n
, S
3n
- S
2n
are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 31
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