The moment of the couple formed by the forces $5\hat i+\hat k$ and $-5\hat i-\hat k$ acting at the points $(9,-1,2)$ and $(3,-2,1)$ respectively is

1

If each of $n$ numbers $x_i = i$ is replaced by $(i+1)x_i$, then the new mean is

Topic: CUET 2023

2

Given below are two statements:Statement I:The number of different numbers each of 6 digits that can be formed by using…

Topic: CUET 2023

3

Observe the following premises and select the correct conclusion:Major premise: All engineers are innovativeMinor premi…

Topic: CUET 2023

4

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.Assertion A:If the…

Topic: CUET 2023

5

A triangle with vertices $(4,0),(-1,-1),(3,5)$ is

Topic: CUET 2023

6

A RAM chip has a capacity of $1024$ words of $8$ bits each $(1k \times 8)$. The number of $2 \times 4$ decoders with en…

Topic: CUET 2023

7

Let $a=\cos \dfrac{2\pi}{7}+i\sin \dfrac{2\pi}{7}$, $\alpha=a+a^2+a^4$ and $\beta=a^3+a^5+a^6$. Then the equation whose…

Topic: CUET 2023

8

List I List II A. The angle between the straight lines, $2x^2 + 3y^2 - 7xy = 0$ I. $\tan^{-1}\dfrac{3}{5}$ B. The c…

Topic: CUET 2023

9

Which of the following will be the next figure in the sequence?

Topic: CUET 2023

10

If the unit vectors $\vec a$ and $\vec b$ are inclined at an angle $2\theta$ such that $|\vec a - \vec b| < 1$ and $0 \…

Topic: CUET 2023

1

Find the missing term in the series: $4,10,?,82,244,730$

Topic: CUET 2023

2

The number of 1’s in the binary representation of $(3\times4096+15\times256+5\times16+3)$ is

Topic: CUET 2023

3

The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is $60^\circ$. If the third sid…

Topic: CUET 2023

4

If $f$ and $g$ are differentiable in $(0,1)$ satisfying $f(0)=2=g(1), g(0)=0, f(1)=6$, then for some $c\in(0,1)$

Topic: CUET 2023

5

If $A,B,C$ are acute positive angles such that $A+B+C=\pi$ and $\cot A\cot B\cot C=K$, then

Topic: CUET 2023

6

If $\oplus$ and $\odot$ denote exclusive OR and exclusive NOR operations respectively, then which one of the following …

Topic: CUET 2023

7

Given below are two statements:Statement I: The angle between the vectors $2\hat i+3\hat j+\hat k$ and $2\hat i-\hat j-…

Topic: CUET 2023

8

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.Assertion A: $f(x)…

Topic: CUET 2023

9

If $w, x, y, z$ are Boolean variables, then which of the following is incorrect?

Topic: CUET 2023

10

A circle $S$ passes through the point $(0,1)$ and is orthogonal to the circles $(x-1)^2 + y^2 = 16$ and $x^2 + y^2 = 1$…

Topic: CUET 2023