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Mathematics
List of top Mathematics Questions
The average marks of students in a group of 6 students is 119. The individual marks of five of them are 115, 109, 129, 117, 114. The marks of sixth student is
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
Consider the runs scored by two batsmen in their last ten matches as follows:
Batsman A: 30, 91, 0, 64, 42, 80, 30, 5, 117, 71
Batsman B: 53, 46, 48, 50, 53, 53, 58, 60, 57, 52
The Median of the runs scored by Batsman A and Batsman B respectively
CUET (PG) - 2023
CUET (PG)
Mathematics
Probability
The integral
\(∫_{-1}^2|x^3-x|dx\)
equals to
CUET (PG) - 2023
CUET (PG)
Mathematics
integral
Any square matrix A can be expressed as:
1. The product of a symmetric and a skew-symmetric matrices.
2. The division of a symmetric matrix by a skew-symmetric matrix.
3. The sum of a symmetric and a skew-symmetric matrices.
4. The subtraction of a symmetric from a skew-symmetric matrix.
CUET (PG) - 2023
CUET (PG)
Mathematics
Matrix
If X is a square matrix of order NxN, then for any constant c, |cX| is equal to,
CUET (PG) - 2023
CUET (PG)
Mathematics
Matrix
If X and Y are invertible matrices of same order then
CUET (PG) - 2023
CUET (PG)
Mathematics
Matrix
Simplify 0.9 [2.3-3.2(7.3-5.4-3.7)]-
CUET (PG) - 2023
CUET (PG)
Mathematics
Simplifying the Dividend
The standard deviation for the following distribution:
Class
30-40
40-50
50-60
60-70
70-80
80-90
90-100
Frequency
3
7
12
15
8
3
2
CUET (PG) - 2023
CUET (PG)
Mathematics
Variance and Standard Deviation
The Mean deviation about the Mean for the following data 6,7,10,12,13,4,8,12.
CUET (PG) - 2023
CUET (PG)
Mathematics
Variance and Standard Deviation
If
\(∫^{0.15}_{-0.15 }|100x^2-1|dx=\frac{k}{3000,}\)
then k is equal to____.
JEE Main - 2023
JEE Main
Mathematics
types of differential equations
Two circles in the first quadrant of radii r
1
and r
2
touch the coordinate axes. Each of them cuts off an intercept of 2 units with the line x + y = 2. Then
\(r^2_1+r_2^2– r_1r_2\)
is equal to_____.
JEE Main - 2023
JEE Main
Mathematics
Circle
Let the digits a, b, c be in A.P. Nine-digit numbers are to be formed using each of these three digits thrice such that three consecutive digits are in A.P. at least once. How many such numbers can be formed?
JEE Main - 2023
JEE Main
Mathematics
types of differential equations
(S1): (p⇒q)∧(p∧((~q)) is a contradiction and
(S2): (p∧q)v((~q)v((~p)∧ q)v (p∧(~q))v((~p)∧ (~q)) is a tautology
JEE Main - 2023
JEE Main
Mathematics
types of differential equations
Match List I with List II
List I
List II
A
Spring constant
I
[T
-1
]
B
Angular speed
II
[MT
-2
]
C
Angular momentum
III
[ML
2
]
D
Moment of Inertia
IV
[ML
2
T
-1
]
Choose the correct answer from the options given below:
JEE Main - 2023
JEE Main
Mathematics
types of differential equations
If the point
\((α ,\frac{7√3}{3} )\)
lies on the curve traced by the mid-points of the line segments of the lines x cosθ + y sinθ=7,θ∈(
\(0,\frac{π}{2}\)
) between the coordinates axes, then α is equal to
JEE Main - 2023
JEE Main
Mathematics
types of differential equations
Let P
\((\frac{2√3}{√7},\frac{6}{√7} )\)
, Q,R and S be four points on the ellipse 9x
2
+ 4y
2
= 36. Let PQ and RS be mutually perpendicular and pass through the origin. If
\(\frac{1}{ ( P Q )^2} +\frac{ 1}{ ( R S ) ^2} =\frac{ P }{q}\)
, where p and q are coprime, then p + q is equal to
JEE Main - 2023
JEE Main
Mathematics
Ellipse
Let a, b, c be three distinct real numbers, none equal to one. If the vectors
\(a\hat{i}+\hat{j}+\hat{k},\hat{i}+b\hat{j}+\hat{k}\)
and
\(\hat{i}+\hat{j}+c\hat{k}\)
are coplanar, then
\(\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}\)
is equal to
JEE Main - 2023
JEE Main
Mathematics
Vectors
The area of the region enclosed by the curve y = x
3
and its tangent at the point (-1, -1) is
JEE Main - 2023
JEE Main
Mathematics
Tangents and Normals
If the local maximum value of the function f( x )=
\((\frac{√3e}{2 sin x} )^{ sin^2x}\)
,
\( x ∈ ( 0,\frac{π}{2} )\)
, is
\(\frac{k}{e}\)
, then
\((\frac{k}{e})^8+\frac{k^8}{e^5}+k^8 \)
is equal to
JEE Main - 2023
JEE Main
Mathematics
types of functions
Let A=
\(\begin{bmatrix} 1 & \frac{1}{51} \\ 0 & 1\end{bmatrix}\)
. If B=
\(\begin{bmatrix} 1 & 2 \\ -1 & -1\end{bmatrix}\)
A
\(\begin{bmatrix} -1 & -2 \\ 1 & 1\end{bmatrix}\)
, then the sum of all the elements of the matrix
\(\sum^{50}_{n=1}B^n\)
is equal to
JEE Main - 2023
JEE Main
Mathematics
Transpose of a Matrix
Find the value of
16÷4×4−3+2
CUET (PG) - 2023
CUET (PG)
Mathematics
Simplification
A fruit vendor bought apples for 6,000. He sold 40% stock with 25% profit, another 40% stock with 15% profit and the rest with 10% profit. Find his profit percentage.
CUET (PG) - 2023
CUET (PG)
Mathematics
Profit and Loss
Out of the three numbers, first number is twice of the second number and thrice of the third number. The average of their reciprocals is 1/6. The numbers are:
CUET (PG) - 2023
CUET (PG)
Mathematics
Average
A cardboard box of dimensions 80 cm x 60 cm x 75 cm is to be constructed. Find the cardboard required (in m^2) for the box.
CUET (PG) - 2023
CUET (PG)
Mathematics
Area
How much time will it take for an amount of Rs.450 to yield Rs.81 as interest at 4.5% per annum of simple interest?
CUET (PG) - 2023
CUET (PG)
Mathematics
SI & CI
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