List of practice Questions

The hormone 'melatonin' is secreted by the gland
The general solution of $\cot\, \theta + \tan\, \theta = 2$ is
The simplified form of $\tan^{-1}$ $\left(\frac{x}{y}\right)$ $- \tan^{-1}$ $\left(\frac{x-y}{x+y}\right)$ is equal to
The two curves $x^3 - 3xy^2 + 2 = 0$ and $3x^2y - y^3 = 2$
Two cards are drawn at random from a pack of $52$ cards. The probability of these two being "Aces" is
Two dice are thrown simultaneously, the probability of obtaining a total score of $5$ is
The simplified form of $i^{n} + i^{n +1} + i^{n +2} + i^{n +3}$ is
Which is the correct statement for the given acids ?
In which type of interactions, both the interacting organisms do not live close together ?
Match the plant structures given in the column-I with their plants given in the column-II. Column I Column II A Prothallus p Bryophytes B Microsporophyll q Pteridophytes C Protonema r Angiosperms D PEN s Gymnosperms
Sarcomere is the functional unit of contraction in a muscle fibre. Identify the portion of myofibril that constitute a sarcomere.
Which among these is not a post fertilization event ?
The sum of $1^{st}$ $n$ terms of the series $\frac{1^{2}}{1}+\frac{1^{2}+2^{2}}{1+2}+\frac{1^{2}+2^{2}+3^{2}}{1+2+3} + ...$
The slope of the tangent to the curve $ { x = t^2 + 3t -8 , y = 2t^2 - 2t - 5}$ at the point $(2, -1)$ is
A source of sound is moving with a velocity of $50 \, ms^{-1}$ towards a stationary observer. The observer measures the frequency of sound as $500\, Hz$. The apparent frequency of sound as heard by the observer when source is moving away from him with the same speed is (Speed of sound at room temperature $350 \, ms^{-1}$)
Electromagnetic radiation used to sterilise milk is
A square current carrying loop is changed to a circular loop in time $t_1$. Then
The current in an $L-R$ circuit builds up to $\left(3 / 4^{\text {th }}\right)$ of its steady state value in $4$ seconds. The time constant of this circuit is
The protein present in the hair is
In given circuit, all resistances are of $10 \Omega$. Current flowing through ammeter is
If $x y z$ are not equal and $\neq$ 0, $\neq$ 1 the value of $\begin{vmatrix} \log x& \log y& \log z\\ \log 2x& \log 2y& \log 2z\\ \log 3x& \log 3y& \log 3z\end{vmatrix}$ is equal to
The IUPAC name of $\left[ Co \left( NH _{3}\right)_{5} ONO \right]^{2+}$ ion is
In a series $LCR$ circuit an alternating $emf \,(v)$ and current $\,(i)$ are given by the equation $v = v_0 \sin \omega t, i = i_0 \sin \left( \omega t + \frac{\pi}{3} \right)$ The average power dissipated in the circuit over a cycle of $AC$ is
A plane glass plate is placed over a various coloured letters (violet, green, yellow, red). The letter which appears to raised more
The solution for the differential equation ${ \frac{dy}{y} +\frac{ dx}{x} = 0 }$ is