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Recent questions in Mathematics
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JEEMAIN and NEET
>>
Mathematics
Mathematics
Limit, Continuity and Differentiability
Class11
Trigonometry
Class12
Sets, Relations and Functions
If a, b and c are in H.P, then a/(b+c), b/(c+a), c/(a+b) are in
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q83
asked
Jan 17, 2014
by
yamini.v
1
answer
If arithmetic, geometric and harmonic means between two positive real numbers is A, G and H respectively, then, which of the following is true?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q82
asked
Jan 17, 2014
by
yamini.v
1
answer
If Shelly does not like John, what is the truth value of the statement "Shelly likes Mike and she likes John."?
jeemain
math
mathematical-reasoning
class11
ch14
easy
logical-operations-(and-or)
q8
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which of the following is the converse of the statement:
"
I
f
x
>
4
, then
x
+
2
>
5
"
?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q7
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which of the following statements is true?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q6
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
In which of the following statements is the
"
or
"
inclusive?
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q5
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
What is the negation of the statement - All triangles are not Equilateral triangles.
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q4
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
What is the negation of the statement- “Chennai is the capital of Tamil Nadu”.
jeemain
math
mathematical-reasoning
class11
ch14
easy
statements
q3
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
The sum of n terms of the infinite series
1.3
2
+
2.5
2
+
3.7
2
+-------
∞
is given by
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q81
asked
Jan 17, 2014
by
yamini.v
1
answer
Which of the following sentences is a statement?
jeemain
math
class11
mathematical-reasoning
ch14
easy
statements
q2
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
Which of the following sentences is a statement ?
jeemain
math
class11
mathematical-reasoning
ch14
easy
statements
q1
asked
Jan 17, 2014
by
thanvigandhi_1
1
answer
In a binomial distribution the mean is 15 and variance is 10, then parameter
n
is
jeemain
math
cbse
class12
probability
ch13
bionomial-distribution
difficult
q25
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
Probability of getting positive integral roots of the equation
x
2
−
n
=
0
for the integer
n
1
≤
n
≤
40
is
jeemain
math
cbse
class12
ch13
probability
events
easy
q50
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
Twelve tickets are numbered from 1 to 12. One tickets is drawn at random, then the probability of the number to be divisible by 2 or 3 is
jeemain
math
cbse
class12
probability
events
difficult
q24
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
If X is a Poisson variate such that
P
(
X
=
1
)
=
P
(
x
=
2
)
the
P
(
x
=
4
)
is equal to
jeemain
math
cbse
class12
probability
easy
poisson-variance
q49
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
A fair die is tossed eight times. The probability that a third six is observed on the eight throw is
jeemain
math
cbse
class12
probability
easy
q48
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
The mean and standard deviation of a binomial variate X are 4 and
√
3
respectively. The
P
(
X
≥
1
)
is equal to
jeemain
math
cbse
class12
probability
medium
q25
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
If X is a binomial variate with the range { 0,1,2,3,4,5,6 } and P(X = 2)=4P (x=4) then the parameter P of X is
jeemain
math
cbse
class12
probability
difficult
q23
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
If
P
(
A
)
=
P
(
B
)
=
x
a
n
d
P
(
A
∩
B
)
=
P
(
A
′
∩
B
′
)
=
1
3
then x is equal to
jeemain
math
cbse
class12
probability
difficult
q22
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
If
P
(
A
)
=
1
12
P
(
B
)
=
5
12
a
n
d
P
(
B
/
A
)
=
1
15
then
P
(
A
∪
B
)
is equal to
jeemain
math
cbse
class12
probability
difficult
q21
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
A random variable X follows binomial distribution with mean
α
and variance
β
Then
jeemain
math
cbse
class12
probability
difficult
q20
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
The chances to fail in Physics are 20% and the chances to fail in Mathematics are 10%. What are the chances to fail in at least one subject ?
jeemain
math
cbse
class12
probability
difficult
q19
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
A bag contains 3 black, 3 white and 2 red balls. One by one three balls are drawn without replacement. The probability that the third ball is red is equal to
jeemain
math
cbse
class12
probability
medium
q24
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
A person has two children. If one of them is boy, then the probability that other is also a boy is
jeemain
math
cbse
class12
probability
medium
q23
asked
Jan 16, 2014
by
thanvigandhi_1
1
answer
Four dice are rolled. The number of possible outcomes in which at least one dice shown 2 is
jeemain
math
cbse
class12
probability
easy
q47
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
An integer is chosen at random from first two hundred numbers. Then the probability that the integer chosen is divisible by 6 or 8 is
jeemain
math
cbse
class12
probability
difficult
q18
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
The probability that the same number appear on throwing three dice simultaneously is
jeemain
math
cbse
class12
probability
easy
q46
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
From a pack of 52 cards, two cards are drawn at random. Then the probability that one is a king and the other is a queen is
jeemain
math
cbse
class12
probability
easy
q45
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
A pair of dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
jeemain
math
cbse
class12
probability
medium
q22
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is 6. The probability that it is actually a 6 is
jeemain
math
cbse
class12
probability
medium
q21
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. The probability that
x
=
3
equals
jeemain
math
cbse
class12
probability
medium
q20
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
Let
w
be a complex cube root of unity with
W
≠
1
. A fair die is thrown three times. If
r
1
,
r
2
a
n
d
r
3
are the numbers obtained on the die, then the probability that
W
r
1
+
W
r
2
+
W
r
3
=
0
is
jeemain
math
cbse
class12
probability
medium
q20
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
The value of K for which function
f
(
x
)
=
{
k
e
−
3
x
x
>0
0
elsewhere
is a Probability Distribution Function.
jeemain
math
cbse
class12
probability
difficult
q17
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
The mean deviation for normal curve measured from mean value is
jeemain
math
cbse
class12
probability
difficult
q16
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
If X is a Poisson variate such that
P
(
2
)
=
9
P
(
4
)
+
90
P
(
6
)
. then mean of X is
jeemain
math
cbse
class12
probability
poisson's-distribution
difficult
q15
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
The probability for a razor blade to be defective is 0.002. The blades are in packet of 10. The number of packets containing no defective blades in a stock of 10,000 packet is
jeemain
math
cbse
class12
probability
poisson's-distribution
easy
q43
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
For normal distribution the third moment about the mean is
jeemain
math
cbse
class12
probability
easy
q42
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
Under a normal curve mean
±
3
σ
covers an area equal to
jeemain
math
cbse
class12
probability
easy
q41
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
The mean of Poisson's distribution with parameter m is
jeemain
math
cbse
class12
probability
easy
q40
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
In a probability distribution of a random variable X, the sum of probability is always
jeemain
math
cbse
class12
probability
easy
q39
asked
Jan 15, 2014
by
thanvigandhi_1
1
answer
The volume of a parallelopiped formed by
ˆ
i
+
a
ˆ
j
+
ˆ
k
,
ˆ
j
+
a
ˆ
k
a
n
d
a
ˆ
i
+
ˆ
k
is minimum if
a
=
?
jeemain
math
class12
ch10
vector-algebra
easy
vector-product
q122
asked
Jan 13, 2014
by
rvidyagovindarajan_1
1
answer
If
→
u
=
ˆ
i
+
ˆ
j
,
→
v
=
ˆ
i
−
ˆ
j
a
n
d
→
w
=
ˆ
i
+
2
ˆ
j
+
3
ˆ
k
and
→
n
is a unit vector such that
→
n
.
→
u
=
→
n
.
→
v
=
0
, then
|
→
n
.
→
w
|
=
?
jeemain
math
class12
ch10
vector-algebra
easy
vector-product
q121
asked
Jan 13, 2014
by
rvidyagovindarajan_1
1
answer
If
→
v
=
2
ˆ
i
+
ˆ
j
−
ˆ
k
a
n
d
→
w
=
ˆ
i
+
3
ˆ
k
and
→
u
is a unit vector,then the maximum value of
[
→
u
→
v
→
w
]
is ?
jeemain
math
class12
ch10
vector-algebra
medium
vector-product
q120
asked
Jan 13, 2014
by
rvidyagovindarajan_1
1
answer
If
A
(
4
,
7
,
8
)
,
B
(
2
,
3
,
4
)
,
C
(
2
,
5
,
7
)
are vertices of a triangle then the length of internal bisector of angle
A
is ?
jeemain
math
class11
ch12
3d-geometry
easy
distance-between-two-points
q98
mock
asked
Jan 12, 2014
by
rvidyagovindarajan_1
1
answer
Find the angle between any two diagonals of a cube.
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q97
asked
Jan 12, 2014
by
rvidyagovindarajan_1
1
answer
The cosine of angle between the medians drawn from vertices of isosceles rt. angled triangle is?
jeemain
math
class12
ch12
3d-geometry
direction cosines
easy
q96
asked
Jan 12, 2014
by
rvidyagovindarajan_1
1
answer
If from a point
P
(
a
,
b
,
c
)
perpendiculars
P
A
,
P
B
,
are drawn on
y
z
a
n
d
z
x
planes. then the equation of the plane
O
A
B
is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q95
asked
Jan 11, 2014
by
rvidyagovindarajan_1
1
answer
If the vertices of a triangle are
A
(
1
,
4
,
2
)
,
B
(
−
2
,
1
,
2
)
C
(
2
,
−
3
,
4
)
then the angle
B
= ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q94
asked
Jan 11, 2014
by
rvidyagovindarajan_1
1
answer
The projection of a line segment on
x
,
y
,
z
axes are
12
,
4
,
3
respectively, then the length of the line segment is ?
jeemain
math
class11
ch12
3d-geometry
distance-between-two-points
easy
q93
asked
Jan 11, 2014
by
rvidyagovindarajan_1
1
answer
The locus of a point
(
x
,
y
,
z
)
for which
z
=
k
is a ?
jeemain
math
class11
ch12
3d-geometry
coordinate-axes-and-planes
easy
q92
asked
Jan 11, 2014
by
rvidyagovindarajan_1
1
answer
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