Sequence

Q. Let $N=\alpha \alpha \alpha \alpha \alpha \alpha$ be a $6$ digit number (all digits repeated) and $N$ is divisible by $924$ and let $\alpha ,\beta$ be the roots of the equation $x^2-11x+\lambda =0$. If the products of all possible values of $\lambda$ is $168k$, then value of $k$ is

Q. $f:A\to B$ is a function defined as $f\left(x\right)=|x^2+1|.\text{If}A=\{-2,,0,1,2,3,4\},$ then the possible set $B$ could be:

1. $\{1,2,5,10,17,20\}$
2. $\{1,2,5,10,15,16\}$
3. $\{1,2,3,..,15\}$
4. $\{1,2,5,10\}$

Q. p $\wedge$ q is true $⟺$ p is true and q is true.

1. False
2. True

Q. Which term of the sequence (-8 + 18i), (-6 + 15i), (-4 + 12i), ....is purely imaginary

1. 5^th

2. 7^th

3. 8^th

4. 6^th

Q. An ordered set of number defined as $\left(a_n:a_n=n^2+1,wheren\in N,n<10\right\}$forms a sequence.

1. True
2. False

Q. A sequence is defined by $a_n=\frac{n^2-1}{n+1}$. The difference of its 1000th and 900th term is

1. 100
2. 200
3. 300
4. 1