List of top B.Ed. Mathematics Questions asked in CUET (PG)

Match List-I with List-II. Suppose \(A, B, C\) are three non-empty sets.

List-I:

A. De-Morgan's Law,
B. Associative Law,
C. Distributive Law,
D. Difference of sets Law.

Match List-I with List-II. Suppose \(\vec{a}\) and \(\vec{b}\) are vectors.

List-I:

A. \(\vec{a}\) and \(\vec{b}\) are perpendicular if,
B. If angle between \(\vec{a}\) and \(\vec{b}\) is \(0\), then,
C. If angle between \(\vec{a}\) and \(\vec{b}\) is \(\pi\), then,
D. If \(\vec{a}\) and \(\vec{b}\) are unit vectors, then.

List-II:

I. \(\vec{a}\cdot\vec{b} = |\vec{a}||\vec{b}|\)
II. \(\vec{a}\cdot\vec{b} = -|\vec{a}||\vec{b}|\)
III. \(\vec{a}\cdot\vec{b} = \cos\theta\)
IV. \(\vec{a}\cdot\vec{b} = 0\)

Arrange the following differential equations in increasing order on the basis of their order:

Code	Differential Equation
A.	\(\dfrac{d^4y}{dx^4}+\sin\!\left(y'''\right)=0\)
B.	\(\left(\dfrac{d^5s}{dt^5}\right)^4+3s\dfrac{d^2s}{dt^2}=0\)
C.	\(y'''+2y''+y'=0\)
D.	\(y''+y=e^x\)

Match List-I with List-II:

List-I		List-II
(A)	Domain of \(f(x)=\dfrac{1}{\sqrt{x^2-1}}\)	(II)	\((-\infty,-1)\cup(1,\infty)\)
(B)	Range of \(f(x)=\dfrac{1}{\sqrt{x^2-1}}\)	(III)	\((0,\infty)\)
(C)	Domain of \(f(x)=\sqrt{x-2}\)	(I)	\([2,\infty)\)
(D)	Range of \(f(x)=\sqrt{x-2}\)	(IV)	\([0,\infty)\)

Match List-I with List-II:

List-I		List-II
(A)	Complement Operation	(III)	Universal Set
(B)	Power Set Operation	(I)	Collection of Subsets
(C)	Cartesian Product	(II)	Ordered Tuples
(D)	Union and Intersection	(IV)	Symmetric Difference

Match List-I with List-II. A data contains the following eight values:
\[ 4,3,0,5,2,9,4,5 \]

List-I		List-II
(A)	Range of data minus \(4\)	(II)	\(5\)
(B)	Mean Deviation	(IV)	\(1.75\)
(C)	Variance	(III)	\(6\)
(D)	Median	(I)	\(4\)

Match List-I with List-II:

List-I		List-II
(A)	If \(n=5,\ p=0.2,\ P(X=2)\)	(II)	\(0.2048\)
(B)	If \(n=7,\ p=0.6,\ P(X=3)\)	(III)	\(0.1935\)
(C)	If \(n=10,\ p=0.6,\ P(X\leq 3)\)	(IV)	\(0.0548\)
(D)	If \(n=12,\ p=0.45,\ P(4\leq X\leq 7)\)	(I)	\(0.7538\)

Match List-I (Sample Statistics) with List-II (Population Parameters):

List-I (Sample Statistics)	List-II (Population Parameters)
A. Sample Mean (\(\bar{x}\))	I. Population Mean (\(\mu\))
B. Sample Variance (\(s^2\))	II. Population Variance (\(\sigma^2\))
C. Sample Standard Deviation (\(s\))	III. Population Standard Deviation (\(\sigma\))
D. Sample Proportion (\(\hat{p}\))	IV. Population Proportion (\(p\))

Match List-I with List-II:

List-I		List-II
(A)	Fail to reject the null hypothesis when it is true	(I)	Correct Decision
(B)	Fail to reject the null hypothesis when it is false	(II)	Type II Error (β Error)
(C)	Reject the null hypothesis when it is true	(III)	Type I Error (α Error)
(D)	Reject the null hypothesis when it is false	(IV)	Correct Decision (Power of Test)