Maths Practice Questions & Answers

Using mathematical induction, the value of 2 + 5 + 8 + ....+ (3n-1 ) comes out to be:

Using mathematical induction, the value of 2 + 5 + 8 + ....+ (3n-1 ) comes out to be:
1). $\frac{n(3n+1)}{2}$
2). $\frac{n(2n+1)}{3}$
3). $\frac{n(n+2)}{2}$
4). $\frac{n(3n-1)}{2}$

The eigen vectors corresponding to distinct eigen values of a real symmetric matrix are:

The eigen vectors corresponding to distinct eigen values of a real symmetric matrix are:
1). Invertible
2). Symmetry
3). Orthogonal
4). Distinct

If $\omega$ is a complex cube root of unity, then the value of $(1-\omega)^{6}$ is:

If $\omega$ is a complex cube root of unity, then the value of $(1-\omega)^{6}$ is:
1). -9
2). -27
3). 0
4). 6

If $x=sin^{2}\theta+\cos^{4}\theta$ then for all values of $\theta$ :

If $x=sin^{2}\theta+\cos^{4}\theta$ then for all values of $\theta$ :
1). $1\leq x\leq 2x$
2). $1\leq x\leq 3$
3). $0.75\leq x\leq 1$
4). $0.5\leq x\leq 1.5$

The prime factorization of 42833 is given by :

The prime factorization of 42833 is given by :
1). 7.21. 291
2). 7.21. 299
3). 7.21. 219
4). 7.29. 211

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