List of practice Questions

For $i=1,2,3,4$, suppose the points$(\cosθi,\secθi)$ lie on the boundary of a circle,where $θi∈[0,\frac{π}{6})$ are distinct. Then $\cosθ_1\ \cosθ_2\ \cosθ_3\ \cosθ_4$ equals

Let A be a set containing n elements, A subset P of A is chosen and set A is reconstructed by replacing the elements of P. A subset Q of A is chosen again. The number of ways of choosing P and Q such that Q contains just one element more than P is

On passing current through two cells, connected in series, containing solutions of $ {AgNO}_3 $ and $ {CuSO}_4 $, 0.18 g of Ag is deposited. The amount of Cu deposited is:

A train is moving along the tracks at a constant speed u. A girl on the train throws a ball of mass m straight ahead along the direction of motion of the train with speed v with respect to herself. Then,

A cubical Gaussian surface has side of length a = 10 cm. Electric field lines are parallel to x-axis as shown. The magnitudes of electric fields through surfaces ABCD and EFGH are 6kNC^-1 and 9kNC^-1 respectively. Then the total charge enclosed by the cube is
[Take ε₀ = 9 × 10^-12 Fm^-1]

Let α,β be the roots of the equation, ax²+bx+c=0.a,b,c are real and s_n=αⁿ+βⁿ and $\begin{vmatrix}3 &1+s_1 &1+s_2\\1+s_1&1+s_2 &1+s_3\\1+s_2&1+s_3 &1+s_4\end{vmatrix}=\frac{k(a+b+c)^2}{a^4}$ then k=

Choose the correct homonym pair :

Homoleptic complex from the following complexes is:

Which one of the following curves represents the variation of impedance $ (Z) $ with frequency $ f $ in a series LCR circuit?

A thin convex lens of refractive index 1.5 has a focal length of 10 cm in air. When the lens is immersed in a fluid,its focal length becomes 70 cm. The refractive index of the fluid is

Car P is heading east with a speed V and car Q is heading north with a speed $\sqrt{3}$. What is the velocity of car Q with respect to car P?

Choose the appropriate word to fill in the blank :
It was a challenge to ______ a response from the prisoner.

The mean and variance of a random variable $ X $ having binomial distribution are 4 and 2, respectively. Find $ P(X = 1) $.

A ring of radius 1.75 m stands vertically. A small sphere of mass 1kg rolls on the inside of this ring without slipping. If it has a velocity of 10m/s at the bottom of the ring,then its velocity when it reaches the top is:(Take g=10 m/s²)

Match List I with List II.

	List I		List II
A	Heroin	I	Effect on cardiovascular system
B	Marijuana	II	Slow down body function
C	Cocaine	III	Painkiller
D	Morphine	IV	Interfere with transport of dopamine

Choose the correct answer from the options given below:

Select the correct group/set of Australian Marsupials exhibiting adaptive radiation.

In which blood corpuscles, the HIV undergoes replication and produces progeny viruses?

Which one of the following common sexually transmitted diseases is completely curable when detected early and treated properly?

An air bubble in water ($ \mu = \frac{4}{3} $) is shown in the figure. The apparent depth of the image of the bubble in a plane mirror viewed by the observer is.