1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If the nth term of a sequence is $\frac{2 n+5}{7}$, then what is the sum of its first 140 terms? 
A
2840
B
2780
C
2920
D
5700
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Let A be a skew-symmetric matrix of order 3.

What is the value of det(4A4) - det(3A3) + det(2A2) - det(A) + det(-I)  where I is the identity matrix of order 3?

A
-1
B
0
C
1
D
2
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $A=\left[\begin{array}{rrr} 0 & 3 & 4 \\ -3 & 0 & 5 \\ -4 & -5 & 0 \end{array}\right]$, then which one of the following statements is correct?
A
A2 is symmetric matrix with det(A2) = 0. 
B
A2 is symmetric matrix with det(A2) ≠ 0.
C
A2 is skew-symmetric matrix with det(A2) = 0.
D
A2 is skew-symmetric matrix with det(A2) ≠ 0.
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If $A=\left[\begin{array}{lll} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 4 \end{array}\right]$, then which of the following statements are correct?

1. An will always be singular for any positive integer n.

2. An will always be a diagonal matrix for any positive integer n.

3. An will always be a symmetric matrix for any positive integer n.

Select the correct answer using the code given below:

A
1 and 2 only
B
2 and 3 only
C
1 and 3 only
D
1, 2 and 3
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