For what value of $x$, the $\log_2(5·2^x+1)$, $\log_4(2^{1-x}+1)$, and 1 are in A.P.?

1

Let sum of $n$ terms of an A.P. is $2n(n-1)$, then sum of their squares is

Topic: JAMIA MCA 2017

2

If 20th term of an A.P. is 30 and its 30th term is 20, then its 10th term is

Topic: JAMIA MCA 2017

1

If the ratio of sum of $m$ terms and $n$ terms of an A.P. be $m^2:n^2$, then the ratio of its $m$th and $n$th terms wil…

Topic: JAMIA MCA 2017

2

The value of $9^{1/3} × 9^{1/9} × 9^{1/27} × ... ∞$ is

Topic: JAMIA MCA 2017

3

If $\alpha$ and $\beta$ are roots of $x^2 + px + q = 0$, then value of $\alpha^2 + \alpha\beta + \beta^2$ is

Topic: JAMIA MCA 2017

4

If the roots of $x^2 - bx + c = 0$ are two consecutive numbers, then $b^2 - 4c$ is equal to

Topic: JAMIA MCA 2017

5

The number of real roots of equation $(x-1)^2 + (x-2)^2 + (x-3)^2 = 0$ is

Topic: JAMIA MCA 2017

6

If the equations $x^2 + 2x + 3\lambda = 0$ and $2x^2 + 3x + 5\lambda = 0$ have a non-zero common root, then $\lambda$ i…

Topic: JAMIA MCA 2017

7

If $P_n = {}^nP_r$ and $C_r = {}^nC_{r-1}$, then $(n, r)$ is

Topic: JAMIA MCA 2017

8

The number of arrangements of the letters of the word BANANA in which the two N’s do not appear adjacently is

Topic: JAMIA MCA 2017

9

The sum of $(n+1)$ terms of the series $\dfrac{C_0}{2} - \dfrac{C_1}{3} + \dfrac{C_2}{4} - \dfrac{C_3}{5} + \dots$ is

Topic: JAMIA MCA 2017

10

If $\omega$ is a cube root of unity, then $\left|\begin{array}{ccc} 1 & \omega & \omega^2 \\ 1 & \omega^2 & 1 \\ \omeg…

Topic: JAMIA MCA 2017