The reagent(s) that can selectively precipitate ( \mathrm{S}^{2-} ) from a mixture of ( \mathrm{S}^{2-} ) and ( \mathrm{SO}_{4}^{2-} ) in aqueous solution is/are:
(A) ( \mathrm{CuCl}_{2} )
(B) ( \mathrm{BaCl}_{2} )
(C) ( \mathrm{Pb}\left(\mathrm{OOCCH}_{3}\right)_{2} )
(D) ( \mathrm{Na}_{2}\left[\mathrm{Fe}(\mathrm{CN})_{5} \mathrm{NO}\right] )

Let (\vec{r}) be the only point of intersection of the planes (\vec{r} \cdot \vec{a}=P_{1}), (\vec{r} \cdot \vec{b}=P_{2}), (\vec{r} \cdot \vec{c}=P_{3}). Then,

A. ([\bar{a} \bar{b} \bar{c}]=0)

B. (\vec{r}=P_{1}(\vec{b} \times \vec{c})+P_{2}(\vec{c} \times \vec{a})+P_{3}(\vec{a} \times \vec{b}))

C. (\vec{a}, \vec{b}, \vec{c}) are non-coplanar

D. (\vec{r}[\vec{a} \vec{b} \vec{c}]=P_{1}(\vec{b} \times \vec{c})+P_{2}(\vec{c} \times \vec{a})+P_{3}(\vec{a} \times \vec{b}))

In order to cover a certain distance in a shorter time span, the object should have a greater speed.

1. mass
2. speed
3. time period
4. frequency

The reduction in atomic size with increase in atomic number down the group is a characteristic of:

1. d-block elements
2. f-block elements
3. radioactive elements
4. high atomic mass elements

Find the solution to the following system of linear equations:
2x + 3y = 8
x - 2y + 3 = 0

Option 1) (3, 1)
Option 2) (1, 3)
Option 3) (1, 2)
Option 4) (-1, 2)

Rajan and Rajani are partners in a firm. Their capitals were: Rajan Rs 3,00,000; Rajani Rs 2,00,000. During the year ended 31st March 2016, the firm earned a profit of Rs 1,50,000. Calculate the value of goodwill of the firm on the basis of capitalization of profits, assuming that the normal rate of return is 20%.

Consider the following statements:

1. Achieving minimum agricultural growth is a pre-requisite for inclusive growth in India.
2. Increased productivity and technology diffusion is necessary for achieving higher growth in the agricultural sector.

Which of the above statement(s) is/are correct?

Below are the statements:

1. Achieving minimum agricultural growth is a pre-requisite for inclusive growth in India.
2. Increasing productivity and technology diffusion is necessary for achieving higher growth in the agricultural sector.

Which of the above statements is/are true?

Option 1) Only 1
Option 2) Only 2
Option 3) Both 1 and 2
Option 4) None of the above

The scars found on potatoes are called:
Option 1) Bud
Option 2) Spore
Option 3) Eyes
Option 4) Cyst

If ( T_{0}, T_{1}, T_{2}, \ldots, T_{n} ) represent the terms in the expansion of ( (x+a)^{n} ), then the value of

[ \left(T_{0}-T_{2}+T_{4}-T_{6}+\ldots\right)^{2}+\left(T_{1}-T_{3}+T_{5}-\ldots\right)^{2} ]

is

(A) ( \left(x^{2}-a^{2}\right)^{2} )
(B) ( \left(x^{2}+a^{2}\right)^{n} )
(C) ( 2\left(a^{2}-x^{2}\right)^{n} )
(D) ( 2\left(x^{2}+a^{2}\right)^{n} )

Simple tissues are groups of similar cells that work together to perform a specific function. There are three main types of simple tissues:

1. Parenchyma: This is the most common type of simple tissue. Parenchyma cells are typically thin-walled and can be involved in various functions like photosynthesis, storage, and tissue repair. They are found in many parts of plants, including leaves, stems, and roots.

2. Collenchyma: Collenchyma tissues provide support and flexibility to plants. The cells have unevenly thickened cell walls, which allow them to stretch and grow. This type of tissue is usually found in regions of the plant that are still growing, such as stems and petioles.

3. Sclerenchyma: Sclerenchyma tissues are known for their thick, lignified walls, providing strength and rigidity to plant structures. These cells are usually dead at maturity and can be found in various parts of the plant, including seed coats and the hard structures of fruits.

Each type of simple tissue plays a vital role in the overall functioning and support of plants.

A vessel of depth 2d cm is half-filled with a liquid of refractive index μ₁ and the upper half with a liquid of refractive index μ₂. The apparent depth of the vessel seen perpendicularly is:

(A) (d\left(\frac{\mu_{1} \mu_{2}}{\mu_{1}+\mu_{2}}\right))
(B) (d\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right))
(C) (2d\left(\frac{1}{\mu_{1}}+\frac{1}{\mu_{2}}\right))
(D) (2d\left(\frac{1}{\mu_{1} \mu_{2}}\right))

Find the point equidistant from the points P(1, 3) and Q(-5, -5), which lies on the line y = -1.
A (-2, -2)
B (-2, -1)
C (-4, -1)
D (3, -1)

During synaptic transmission of nerve impulse, a neurotransmitter ( P ) is released from synaptic vesicles by the action of ions ( Q ). Choose the correct ( P ) and ( Q ).
A ( P ) - acetylcholine, ( Q ) - ( \mathrm{Ca}^{2+} )
B ( P ) - acetylcholine, ( Q ) - ( \mathrm{Na}^{+} )
C ( P ) - GABA, ( Q ) - ( \mathrm{Na}^{+} )
D ( P ) - cholinesterase, ( Q ) - ( \mathrm{Ca}^{2+} )

Which of the following can be present in a female unisexual flower?
I: Filament
II: Anther
III: Stigma
IV: Ovary

Option 1) I and III
Option 2) I, II, III and IV
Option 3) II and IV
Option 4) III and IV

Which among the following statements is/are correct about Down syndrome?

1. Down syndrome is also known as trisomy of the 21st chromosome.
2. It is the first discovered chromosomal abnormality in human beings.
3. The affected individual has 46 chromosomes in their cells.

A. Both 1 and 3
B. Both 1 and 2
C. Only 3
D. 1, 2 and 3

Why does bright red color blood turn dark once circulation begins?
A. O₂ is replaced by NH₃
B. Red pigment absorbs copper salts
C. Red pigments get oxidized
D. O₂ is replaced by CO₂

One of the major aspects of family welfare is family planning in terms of having a large family.

True

False

If ( y = \tan^{-1}\left(\frac{3x - x^3}{1 - 3x^2}\right), \quad \frac{-1}{\sqrt{3}} < x < \frac{1}{\sqrt{3}} ), find ( \frac{dy}{dx} ).

___ is the embryonic root of the plant.
Option 1) Embryo
Option 2) Cotyledon
Option 3) Radicle
Option 4) Plumule

In a feedback mechanism, the activity of an enzyme is inhibited by end product.
Option 1) enzyme
Option 2) external factors
Option 3) substrate
Option 4) end product