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CUET (UG)
List of top Questions asked in CUET (UG)
The value of
\(\int\limits_{-3}^2x^2 |2x| dx\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Definite Integral
The integrating factor of differential equation
\(\frac{dy}{dx}+y=\frac{1+y}{x}\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Differential Equations
Match List I with List II
LIST I
LIST II
A
.
The common region determined by all the constraints of LPP is called
I
.
objective function
B
.
Minimize z = C₁x1+C2x2+.....+Cnxn is
II
.
convex set
C
.
A solution that also satisfies the non-negative restrictions of a LPP is called
III
.
feasible region
D
.
The set of all feasible solutions of a LPP is a
IV
.
feasible solution
Choose the correct answer from the options given below:
CUET (UG) - 2023
CUET (UG)
Mathematics
Linear Programmig Problem
A random variable X has the following probability distribution
X
0
1
2
3
4
5
6
7
P(X)
0
k
2k
2k
3k
k
2
2k
2
7k
2
+k
then value of E(X) is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Probability Distribution
The simple interest of Rs 6500 for
\(1\frac{1}{2}\)
years at 10% is
CUET (UG) - 2023
CUET (UG)
Mathematics
Simple Interest
The cost price 15 articles is equal to the selling price of 20 articles. Find the loss percentage.
CUET (UG) - 2023
CUET (UG)
Mathematics
Profit and Loss
The percent income of a year on 6% debentures of face value of ₹100 available in the market for ₹200 is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Percentage
Which of the following are propositions ?
(A) The sum of four angles of quadrilateral is 180°.
(B) A line segment has two end points.
(C) 7𝑥+3=14
(D) 3 X 9=21
CUET (UG) - 2023
CUET (UG)
Mathematics
Propositional Logic
If point
\(B(0, 1)\)
is equidistant from points
\( A(5, -3) \)
and
\(C(x, 6)\)
, then find the values of
\( x\)
CUET (UG) - 2023
CUET (UG)
Mathematics
Distance Formula
The integral
\(∫\frac{dx}{x^2(x^4+1)}^{\frac{3}{4}}\)
equals_____.
CUET (UG) - 2023
CUET (UG)
Mathematics
Integration
The heights of two right circular cones are in the ratio
\(1 : 2\)
and the circumferences of their bases are in the ratio
\(3: 4.\)
Find the ratio of their volumes.
CUET (UG) - 2023
CUET (UG)
Mathematics
Volume of a Right Circular Cone
If CE||DB, what is the value of x:
CUET (UG) - 2023
CUET (UG)
Mathematics
Angle Sum Property Of A Triangle
The point on the curve y²=16x for which the y-coordinate is changing 2 times as fast as the x-coordinate is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Parabola
The straight line
\( \frac{x+2}{3} = \frac{z-3}{ -2}, y-2 \)
is
CUET (UG) - 2023
CUET (UG)
Mathematics
Straight lines
Area lying in first quadrant and bounded by the circle
\(x^2+ y^2 = 9\)
and the lines x = 1 and x = 3 is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Area under Simple Curves
If
n
C
9
=
n
C
3
. what is n?
CUET (UG) - 2023
CUET (UG)
Mathematics
permutations and combinations
If Paasche's index number is 160 and Laspeyre's index number is 250, then Fisher's index number is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Statistics
Suppose that a 95% confidence interval states that population mean is greater than 100 and less than 300. Then the value of sample mean
\((\bar{x})\)
and margin of error (E) respectively are :
CUET (UG) - 2023
CUET (UG)
Mathematics
Statistics
First two words are related in a certain way in:
Transition: Change:: Immobility: ?
Identify the suitable word in place of? so that third and fourth words also become relatable the some manner.
CUET (UG) - 2023
CUET (UG)
Mathematics
Mensuration
In a partnership, A invests one-fourth of the capital for one-third of the time, B invests one-third of the capital for one-fourth of the time and C invests the rest of the capital for the whole time. Out of a profit of ₹3,500, A's share is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Partnership
The value of
\(\int_0^3 |2x-6|dx\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Definite Integral
The maximum value of Z= 2x + 3y subject to the constraints x≥0, y>0; x+y≤ 10, 3x+4y≤ 36 is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Linear Programmig Problem
If set A has 5 elements and set B has 7 elements than number of one-one and onto mapping from A to B is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Relations and Functions
If f(x) - 27x
3
and g(x) =
\((x)^{\frac{1}{3}}\)
, then gof(x) is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Relations and Functions
Match List I with List II
LIST I
LIST II
A
.
The solution set of the inequality
\(-5x > 3, x\in R\)
, is
I
.
\([\frac{20}{7},∞)\)
B
.
The solution set of the inequality is,
\(\frac{-7x}{4} ≤ -5, x\in R\)
is,
II
.
\([\frac{4}{7},∞)\)
C
.
The solution set of the inequality
\(7x-4≥0, x\in R\)
is,
III
.
\((-∞,\frac{7}{5})\)
D
.
The solution set of the inequality
\(9x-4 < 4x+3, x\in R\)
is,
IV
.
\((-∞,-\frac{3}{5})\)
Choose the correct answer from the options given below:
CUET (UG) - 2023
CUET (UG)
Mathematics
Linear Inequalities
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