List of practice Questions

हाल ही में इसरो द्वारा अपने मिशन आदित्य L1 को लॉन्च किया गया है। यह मिशन निम्नलिखित में किसके अध्ययन से संबंधित है-

List-I (Name of crop)	List-II (Disease of crop)
(A) Paddy	(I) Red rot
(B) Cotton	(II) Loose smut
(C) Groundnut	(III) Tikka (Leaf spot)
(D) Gram	(IV) Rust

Choose the correct answer from the options given below :

Two charged particles P and Q, having the same charge but different masses $ m_p $ and $ m_Q $, start from rest and travel equal distances in a uniform electric field $ \vec{E} $ in time $ t_p $ and $ t_Q $ respectively. Neglecting the effect of gravity, the ratio $ \frac{t_p}{t_Q} $ is:

A light ray enters through a right angled prism at point P with the angle of incidence 30° as shown in figure. It travels through the prism parallel to its base BC and emerges along the face AC. The refractive index of the prism is :

The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free electrons which flow through a given cross-section of the conductor in the time interval $ 0 \leq t \leq 20 \, \text{s} $ is

The mean and variance of a binomial variate $X$ are $\frac{16}{5}$ and $\frac{48}{25}$ respectively. Given that $P(X \geq 1) = 1 - K \left(\frac{3}{5}\right)^7$, find $5K$:

If the hinged end of a propped cantilever of span $ L $ settles by an amount $ \delta $, then the rotation of the hinged end will be

Suppose the axes are to be rotated through an angle $ \theta $ so as to remove the $ xy $ term from the equation $3 x^2 + 2\sqrt{3}xy + y^2 = 0 $. Then in the new coordinate system, the equation $ x^2 + y^2 + 2xy = 2 $ is transformed to:

Given below are two statements:
Statement I: Mitochondria and chloroplasts both double membranes bound organelles.
Statement II: Inner membrane of mitochondria is relatively less permeable, as compared chloroplast. I
In the light of the above statements, choose the mis appropriate answer from the options given below

Read the following text carefully from ‘The Economic Times’ dated 8th June, 2023: “The Reserve Bank of India’s (RBI’s) rate-setting panel unanimously decided to keep the benchmark lending rate unchanged at 6.5%. The committee voted to remain focused on the withdrawal of accommodating monetary policy.” On the basis of the given text and common understanding, answer the following questions: Identify and discuss the economic issue indicated in the above text.

An elixir contains 47 % v/v alcohol, what is the proof spirit according to USP:

The focal length of a thin converging lens in air is 20 cm. When the lens is immersed in a liquid, it behaves like a concave lens of power 1 D. If the refractive index of the material of the lens is 1.5, the refractive index of the liquid is

A line $ L $ passing through the point $ P(-5,-4) $ cuts the lines $ x - y - 5 = 0 $ and $ x + 3y + 2 = 0 $ respectively at $ Q $ and $ R $ such that \[ \frac{18}{PQ} + \frac{15}{PR} = 2, \] then the slope of the line $ L $ is:

If \[ \lim_{x \to 9} f(x) = 6 \quad {and} \quad \lim_{x \to 9} g(x) = 3, \] then \[ \lim_{x \to 9} \frac{f(x) - 2g(x)}{g(x)} \] is equal to

The diameter of a circle is of length 6 cm. If one end of the diameter is $(-4, 0)$, the other end on $x$-axis is at:

For the function $f(x) = 2x^3 - 9x^2 + 12x - 5, x \in [0, 3]$, match List-I with List-II:

List-I	List-II
(A) Absolute maximum value	(I) 3
(B) Absolute minimum value	(II) 0
(C) Point of maxima	(III) -5
(D) Point of minima	(IV) 4

An object falls from a height of 10 m above the ground. After striking the ground it loses $50\%$ of its kinetic energy. The height upto which the object can rebounce from the ground is:

Assertion (A): The zygote gives rise to heart-shaped embryo and subsequently proembryo in most angiosperms.
Reason (R): The zygote is present at the micropylar end of the embryo sac and develops into an embryo.

Some Rivers are Ponds. All Ponds are Ocean. No Ocean is Sea. Examine the conclusions:
I) Some Ponds are Sea
II) All Rivers are Ocean
III) Some Sea may be a River
Which of the conclusions necessarily follows ? Choose the most appropriate answer:

Dr. Sadao is disturbed and in a dilemma since he has decided to help the enemy soldier. Describe his conflict and the challenges faced in the form of a diary entry.

The numbers $1, 2, 3, \ldots, m$ are arranged in random order. The number of ways this can be done, so that the numbers $1, 2, \ldots, r \, (r < m)$ appear as neighbours is:

Which option represents the solid shown below?

Financial and legal consultants belong to which category of activities?

Re-arrange the following phrases in the right sequence to form a meaningful sentence.
(A) for seven hours but was hardly
(B) because of the absence of any motivation
(C) able to decide who the murderer was
(D) she worked on the case.
Choose the correct answer from the options given below :

Assertion (A): Primary transcripts in eukaryotes are subjected to splicing to remove the introns.
Reason (R): Primary transcripts contain both exons and introns, and the introns are non-functional in eukaryotes.}