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BIT
CSIT
MOCKTEST
02:00:00
Math
Physics
Chemistry
English
Computer
1. Limit x tends to 2 (|x-2|)/x-2
0
1
infinity
doesn't exist
2. If
f
(
x
)
=
x
+
2
f(x) = x + 2
f
(
x
)
=
x
+
2
, then what is the value of
(
f
−
1
∘
f
)
(
x
)
(f^{-1} \circ f)(x)
(
f
−
1
∘
f
)
(
x
)
at
x
=
4
x=4
x
=
4
?
5
3
4
7
3. ∫ cosecx dx
lnsinx c
ln(cosecx -cotx) c
lncosx c
ln(cosecx -cotx) c
4. The maximum value of
(
1
x
)
x
\left(\frac{1}{x}\right)^x
(
x
1
)
x
is?
e
e
1
/
e
e^{1/e}
e
1/
e
e
e
e^e
e
e
(
1
e
)
e
\left(\frac{1}{e}\right)^e
(
e
1
)
e
5. The area between the curve y = sechx and x-axis is
pi/2
pi
2pi
pi/4
6. If
(
3
+
4
i
)
(
x
+
i
y
)
=
1
+
i
(3 + 4i)(x + iy) = 1 + i
(
3
+
4
i
)
(
x
+
i
y
)
=
1
+
i
, then what is the value of
x
2
+
y
2
x^2 + y^2
x
2
+
y
2
?
13/3
1/2
2/5
2/25
7. If the roots of the quadratic equation
x
2
+
p
x
+
q
=
0
x^2 + px + q = 0
x
2
+
p
x
+
q
=
0
are
tan
(
30
∘
)
\tan(30^\circ)
tan
(
3
0
∘
)
and
tan
(
15
∘
)
\tan(15^\circ)
tan
(
1
5
∘
)
respectively, then what is the value of
(
q
−
p
)
(q-p)
(
q
−
p
)
?
1
2
0
3
8. If the sum of series 54 51 48 ... is 513 , then the number of terms are
18
20
17
None
9. In a skew symmetric matrix , the diagonal elements are all
Different from each other
zero
one
equal
10. If
A
A
A
and
B
B
B
are square matrices of order
n
n
n
and
A
=
K
B
A = KB
A
=
K
B
where
K
K
K
is a scalar, then what is the determinant of
A
A
A
, denoted as
∣
A
∣
|A|
∣
A
∣
?
|B|
K|B|
K
n
∣
B
∣
K^n|B|
K
n
∣
B
∣
n|B|
11. Equation x+y=2 and 2x+2y=3 will have
only one solution
two solutions
infinite solutions
no solution
12. If A and B are two sets with n(A)=8, n(B)=5 , A union B is equal to 10 then A intersection B is equal to
6
3
9
4
13. A function
f
(
x
)
=
x
2
+
c
o
s
x
+
1
f(x)=x^2+cosx+1
f
(
x
)
=
x
2
+
cos
x
+
1
is
an even function
an odd function
neither odd nor even function
a constant function
14. log(ab)-log(b) equals
logb
loga
-loga
log(a/b)
15. If the sum of the coefficients in the expansions of
(
x
+
y
)
n
(x+y)^n
(
x
+
y
)
n
is 4096 then the greatest coefficient in the expansion is
512
20
1024
924
16. e is
a complex number
a rational number
an irrational number
a whole number
17. The number of straight lines that can be formed by joining 8 points of which 4 points are collinear is
14
23
32
58
18. Direction of zero vector
doesn' exists
is towards origin
is indeterminate
none
19. The vertices of a triangle are (0,3), (-3,0), and (3,0). Then , the orthocenter of the triangle is
(0,0)
(0,3)
(3,0)
(-3,0)
20. If the sum of the distance of a point from two perpendicular lines in aplane is 1, then the locus of the point is
circle
st.line
parabola
square
21. In Triangle ABC, sinA:sinB:sinC=1:2:3. if b=4 then the perimeter of the triangle is
16
12
8
20
22. if x+y+z=xyz then
t
a
n
−
1
x
+
t
a
n
−
1
y
+
t
a
n
−
1
z
=
π
tan^{-1}x + tan^{-1}y + tan^{-1}z = \pi
t
a
n
−
1
x
+
t
a
n
−
1
y
+
t
a
n
−
1
z
=
π
=
pi
pi/2
pi/3
pi/4
23. The minimum value of |sinx| and |secx| are
1,1
-1,1
0,1
2,1
24. if tanA = 1/2 and tanB=1/3 then tan(2A-2B)=
1
2
7/24
4
25. if 3sinθ+4cosθ=5 thne the value of 4sinθ-3cosθ is
0
5
1
2
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