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

In a small factory one supervisor and four labourers work. The labourers draw salary of \(\rupee 5000\) per month each while supervisor gets \(\rupee 15000\) per month. Which of the following are mean and mode of the salaries?

Which of the following statements are true? A. For any two vectors \(\vec{a}\) and \(\vec{b}\), \(|\vec{a}+\vec{b}|\leq |\vec{a}|+|\vec{b}|\).
B. Scalar product of two non-zero vectors might be zero.
C. For any two vectors \(\vec{a}\) and \(\vec{b}\), \(|\vec{a}\cdot \vec{b}|\leq |\vec{a}||\vec{b}|\).
D. Cross product of two vectors is not a vector.
E. Dot product of two vectors is a scalar.

Which of the following is the median of the heights in cm of the following 9 students? \[ 155,\ 160,\ 145,\ 149,\ 150,\ 147,\ 152,\ 144,\ 148 \]

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.

Which of the following is/are solution of the LPP? \[ \text{Min }Z=12x+9y \] Subject to \[ x+2y\leq 40,\quad 3x+y\geq 30,\quad 4x+3y\geq 60,\quad x,y\geq 0 \] A. \((15,0)\),
B. \((40,0)\),
C. \((4,18)\),
D. \((6,12)\),
E. \((10.5,6)\).

Given below are two statements:

Assertion (A):
The function \(f(x)=x|x|\) is continuous at \(x=0\) and derivative of \(f\) also exists at \(x=0\).
Reason (R):
It is necessary and sufficient that every continuous function is derivable at any point.

If one of the roots of equation \(ax^4+bx^3+cx^2+dx+e=0\) is \(\sqrt{2}+\sqrt{-3}\), then arrange the following in non-decreasing order \((a\neq 0)\). A. \(a\),
B. \(b\),
C. \(c\),
D. \(d\),
E. \(e\).

Arrange the following in ascending order based on their values:
A. \(\displaystyle \int_0^{\frac{\pi}{2}}\frac{1}{1+\sin x}\,dx\),
B. \(\displaystyle \int_1^2 x^2\,dx\),
C. \(\displaystyle \int_0^{\frac{\pi}{2}}\sin x\,dx\),
D. \(\displaystyle \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\sin^3x\,dx\).

Given below are two statements:

Assertion (A):
The angle between the pair of lines \[ \frac{x+3}{3}=\frac{y-1}{5}=\frac{z+3}{4} \quad \text{and} \quad \frac{x+1}{1}=\frac{y-4}{1}=\frac{z-5}{2} \] is \(\cos^{-1}\left(\frac{8\sqrt{3}}{15}\right)\).
Reason (R):
The angle between the two lines is \[ \cos\theta=\frac{a_1a_2+b_1b_2+c_1c_2}{\sqrt{a_1^2+b_1^2+c_1^2}\sqrt{a_2^2+b_2^2+c_2^2}}. \]

The function \(f(x)=|x-2|+|x|+|x+2|\) is not differentiable at which points?

Which of the following statements are true? A. \(2^{4n}-1\) is divisible by \(15\).
B. \(5,12\) and \(13\) is Pythagorean triplet.
C. \(n^7-n\) is divisible by \(42\).
D. \(1^2+2^2+3^2+\cdots+n^2=\left[\dfrac{n(n+1){2}\right]^2\).}

Which of the following is the variance of the data? \[ 6,\ 8,\ 10,\ 12,\ 14,\ 16,\ 18,\ 20,\ 22,\ 24 \]

In a small factory one supervisor and four labourers work. The labourers draw salary of \(\rupee 5000\) per month each while supervisor gets \(\rupee 15000\) per month. Which of the following are mean and mode of the salaries?

When a coin is tossed twice, which of the following is the probability of getting both tails?

Match List-I with List-II on the basis of relationship. List-I:
A. Complement operation,
B. Power set operation,
C. Cartesian product,
D. Union and intersection. List-II:
I. Collection of subsets, II. Tuples ordered, III. Universal set, IV. Difference symmetri
C.

When a dice of six faces \(\{1,2,3,4,5,6\}\) is thrown, which of the following is the probability of getting an even number?

Which of the following is the median of the heights in cm of the following 9 students? \[ 155,\ 160,\ 145,\ 149,\ 150,\ 147,\ 152,\ 144,\ 148 \]

Which of the following statements are true? A. \(2^{4n}-1\) is divisible by \(15\).
B. \(5,12\) and \(13\) is Pythagorean triplet.
C. \(n^7-n\) is divisible by \(42\).
D. \(1^2+2^2+3^2+\cdots+n^2=\left[\dfrac{n(n+1){2}\right]^2\).}

Match List-I with List-II. A. Domain of \(f(x)=\dfrac{1{\sqrt{x^2-1}}\),
B. Range of \(f(x)=\dfrac{1}{\sqrt{x^2-1}}\),
C. Domain of \(f(x)=\sqrt{x-2}\),
D. Range of \(f(x)=\sqrt{x-2}\).}

Which of the following statements are true? A. For any two vectors \(\vec{a}\) and \(\vec{b}\), \(|\vec{a}+\vec{b}|\leq |\vec{a}|+|\vec{b}|\).
B. Scalar product of two non-zero vectors might be zero.
C. For any two vectors \(\vec{a}\) and \(\vec{b}\), \(|\vec{a}\cdot \vec{b}|\leq |\vec{a}||\vec{b}|\).
D. Cross product of two vectors is not a vector.
E. Dot product of two vectors is a scalar.

Which of the following is/are solution of the LPP? \[ \text{Min }Z=12x+9y \] Subject to \[ x+2y\leq 40,\quad 3x+y\geq 30,\quad 4x+3y\geq 60,\quad x,y\geq 0 \] A. \((15,0)\),
B. \((40,0)\),
C. \((4,18)\),
D. \((6,12)\),
E. \((10.5,6)\).

Arrange the following in increasing order as per the last digit:
A. \(2^{444}\),
B. \(17^{10}\),
C. \(13^{10}+2\),
D. \(1^1+2^2+3^3+\cdots+100^{100}\),
E. \(11!+2\).

If one of the roots of equation \(ax^4+bx^3+cx^2+dx+e=0\) is \(\sqrt{2}+\sqrt{-3}\), then arrange the following in non-decreasing order \((a\neq 0)\). A. \(a\),
B. \(b\),
C. \(c\),
D. \(d\),
E. \(e\).

Arrange the following in ascending order based on their values:
A. \(\displaystyle \int_0^{\frac{\pi}{2}}\frac{1}{1+\sin x}\,dx\),
B. \(\displaystyle \int_1^2 x^2\,dx\),
C. \(\displaystyle \int_0^{\frac{\pi}{2}}\sin x\,dx\),
D. \(\displaystyle \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\sin^3x\,dx\).

The function \(f(x)=|x-2|+|x|+|x+2|\) is not differentiable at which points?