-7<x<1

Now, (-7+1)/2 = -6/2 = -3

so adding 3 on both sides

-7+3<x+3<1+3

-4<x+3<4

| x+3|<4

Hence, the correct answer is option d. | x+3|<4

Null Matrix/Zero Matrix: A Matrix having each of the element zero is called Null Matrix/Zero Matrix

Hence, the correct answer is option d.

The A.M, G.M and H.M between any two unequal positive numbers satisfy

i. (𝐺. 𝑀)^2=A.M x H.M

ii. A.M>G.H>H.M

Hence, the correct answer is option c.

Given,

3√(−4 )+ 5√(−9) - 4√(−25)

=3√(4 x i^2 )+ 5√(9 x i^2) - 4√(25 x i^2)

= 3 x 2i + 5 x 3i - 4 x 5i

=6i + 15i - 20i

=i

Hence, the correct answer is option d

Given,

(3k+1)x^2+ 2(k+1)x +k=0 comparing with ax^2+bx+c=0

a=3k+1,  b=2(k+1),  c=k

For Reciprocal roots

c=a

k=3k+1

k-3k=1

-2k=1

k= -1/2

Hence, the correct answer is option a

The 6 different beads in a a necklace can be strung in (6-1)! ways

i.e 5!= 5x4x3x2x1 ways=120 Ways

Since, the clockwise and the anticlockwise arrangement are the same,

So, the required number of arrangement=1/2 x 120 = 60 ways

Hence, the correct answer is option d

Given,

A=30°, B=45°,

Sum of triangle is 180°

i.e A+B+C=180

or, 30° + 45° + C= 180

C=180° - 75°

C= 105°

Hence, the correct answer is option c.

Given equation are;

3x-4y-10=0 ---------(i)

5x+3y-7=0 ------(ii)

solving equation(i) and (ii) x=2 & y=-1

The point of intersection of the lines (i) & (ii) is (2,-1)

slope of the line (m)= tan135° = -1

The equation of the line through a given point(x1,y1) is

y-y1=m(x-x1)

y-(-1)= -1 (x-2)

y+1=-x+2

x+y=2-1

x+y=1

Hence, the correct answer is option c

The equation of circle in diameter form is (3,0) & (7,-1)

(x-x1)(x-x2)+ (y-y1)(y-y2)=0

or, (x-3)(x-7)+(y-0)(y+1)=0

𝑥^2 + 𝑦^2-10x+y+21=0

Hence, the correct answer is option d

Give, point (4,3,-6) and (-2,1,3)

Using distance formula,

d=√{(x2-x1)^2 + (y2-y1)^2 + (z2-z1)^2}

= √{(-2-4)^2 + (2-3)^2 + (3+6)^2}

=√(36+4+81)

=√121

Hence, the correct answer is option c

There are six faces in a die i.e 1,2,3,4,5 & 6

The number of cases favorable to the event of getting a number less than or equal to 4 is 4

n=total number of possible cases =6

m= number of favorable cases =4

P( a number ≤4)=?

P(a Number ≤ 4)= m/n = 4/6

Hence, the correct answer is option b.

We know,

𝑃⃗ .𝑄⃗ = −𝑃⃗ 𝑄⃗

PQCosθ=-PQ

Cosθ= -1

θ=∏

Hence, the correct answer is option d. ∏

Time of flight formula is T=(2𝑢𝑠inθ)/g

Hence, the correct answer is option c. T=(2𝑢𝑠inθ)/g

The dimensional formula of Gravitational constant(G) is 𝑀^−1 𝐿^3 𝑇^−2

Hence, the correct answer is option c. 𝑀^−1 𝐿^3 𝑇^−2

Friction is a Non-Conservative Force

Hence, the correct answer is option a. Non-Conservative

As a vehicle moves at constant speed on a convex or concave road from one end to another end, then the thrust of the vehicle on the road first increase then decrease

Hence, the correct answer is option d. first increase then decrease

Center of mass of an isolated system has constant velocity

Hence, the correct answer is option a. velocity

The mass of particle at center of earth is same as another places

Hence, the correct answer is option d. same as another places

Absolute zero means -273.15°C or 0K

Hence, the correct answer is option a. -273°C

If one of the prongs of a tuning fork is out, its frequency increases

Hence, the correct answer is option a. increase

Pitch depends on frequency

Hence, the correct answer is option c. frequency

The wavelength of light coming from a star shifts towards the violet end of the spectrum. This shows that he star is approaching the earth

Hence, the correct answer is option a. approaching the earth

When a dielectric is introduced, charge remains unchanged through capacitance increase

Hence, the correct answer is option a. Q

With increases in temperature, Resistance of metal increases

Hence, the correct answer is option b. increases

For protecting a sensitive magnetic equipment from external magnetic field, it should be placed inside a box of soft iron of high Permeability

Hence, the correct answer is option c. soft iron of high Permeability

Photoelectric effect is based on principle of conservation of energy

Hence, the correct answer is option a. conservation of energy

Hydrogen atom does not emit X-ray because its energy levels are too close to each other.

Hence, the correct answer is option b. energy levels are too close to each other.

1 A.U equals to 1.49x10^11 m

Hence, the correct answer is option d. 1.49x10^11 m

Pole Star is the brightest star in the constellation ursa minor.

Hence, the correct answer is option b. Pole Star

=KE

=W

=qv

=1e x 1V

=1ev

Hence, the correct answer is option c. 1ev

light Propagates rectilinearly because of ware nature

Hence, the correct answer is option d. ware nature

Given,

focal length(f)=∞

we know,

power(p)= 1/f =1/∞ = 0

Hence, the correct answer is option c. 0

p=p1+p2

=6+(-4)

=6-4

=+2D

So, convex lens of f=1/2=0.5m=50cm

Hence, the correct answer is option b. Convex 50cm

Sun appearing red at sunrise and sunset because of red is least scattered

Hence, the correct answer is option a. red is least scattered

Graham's law of diffusion state's as "The rate of diffusion of gases is inversely proportional to square root of their density at constant temperature and Pressure".

Hence, the correct answer is option a. The rate of diffusion of gases is inversely proportional to square root of their density at constant temperature and Pressure.

The ratio of universal gas constant (R) to the Avogadro's number (NA) is equivalent to Boltzmann constant

Hence, the correct answer is option c. Boltzmann constant

At higher temperature more number of molecules acquire large kinetic energy as a result of which large molecules escape from the surface of into vapour phase

Hence, the correct answer is option b. Increases

Law of conversation of mass is given by Lavoiser

Mass of reactants = Mass of products

Hence, the correct answer is option b. Lavoiser

C+ O2 -> CO2

The weight of C is 12, O2 is 32

Weight of CO2=44x5/12 = 11gm

Hence, the correct answer is option b. 11gm

1 Fermi equals to 10^-13 cm

Hence, the correct answer is option a. 10^-13 cm

Zinc= 1²,2s²2p⁶,3s²3p⁶d¹⁰,4s²

Hence, the correct answer is option a. 1²,2s²2p⁶,3s²3p⁶d¹⁰,4s²

The shape of CCl₄ is Tetrahedral

Hence, the correct answer is option d. Tetrahedral

Chlorine has highest electron affinity

Hence, the correct answer is option b. electron affinity

We know,

N₁V₁=N₂V₂

V₂=150

V₁=150-75=75ml

Hence, the correct answer is option c. 75ml

D₂O is Heavy water or Deuterium Oxide

Hence, the correct answer is option a. Heavy water

In this reaction KO₂ + CO₂

O₂ will produce

Hence, the correct answer is option c. O₂

Carbon has 4 allotropes they are Diamond, Graphite, Fullerence and Amorphous Carbon

Hence, the correct answer is option a. Fullerence

Graphite is a good conductor of electricity due to presence of mobile electrons.

Hence, the correct answer is option b. Graphite

Sulphuric acid  has high boiling point and viscous nature due to Hydrogen bonding

Hence, the correct answer is option a. Hydrogen bonding

XeOF₂

x-2+2.(-1)=0

or, x-2-2=0

x=4

Hence, the correct answer is option c. 4

Bell metal is an alloy of CU +Sn

Hence, the correct answer is option d. CU +Sn

The TUPAC name of CCl₃CHO is 2,2,2 trichloroethanal

Hence, the correct answer is option b. 2,2,2 trichloroethanal

Benzene react with H₂ / Ni it form Cyclohexane

Hence, the correct answer is option c. Cyclohexane

This reaction is called as Grignard’s reagent

Hence, the correct answer is option a. Grignard’s reagent

In Victor Meyer's test

1° alcohol= Red Colour

2° alcohol= Blue Colour

3° alcohol= No Colour

Hence, the correct answer is option d. No Colour

Glycerol and oxalic acid when heated it produce  Formic acid

Hence, the correct answer is option a. Formic acid

The chemical formula of Prussic acid is HCN

Hence, the correct answer is option d. HCN

The sentence "Cow gives milk" is a general statement about cows, which means it refers to the species as a whole, not any specific cow.

The articles "a," "an," and "the" are not needed when making general statements about an entire category or species in this context.

Hence, the correct answer is option d. none

He can swim...........?

The correct answer is of the tag questions is Can't he

Hence, the right answer is option c. Can't he

Over us, he is the best in English.

Hence, the correct answer is option b. Over

The words valuation gets stress on its third syllable

Hence, the correct answer is option c. valuation

Neither he nor we have planted the trees

Hence, the correct answer is option b. have

The passive form of "People sell fish here" is Fish is sold here

Hence, the correct answer is option c. Fish is sold here

I shall have my hair cut

Hence, the correct answer is option a.cut

The word "accuracy" takes the suffix as -acy

Hence, the correct answer is option b. -acy

She said that she had no money whihch is not true

Hence, the correct answer is option b. which

Please stay here until next Friday

Hence, the correct answer is option b. Until

The ball is in your court means It's your decision

Hence, the correct answer is option b. It's your decision

The meaning of the word wear out means Make unfit

Hence, the correct answer is option a. Make unfit

Murder means Killing other people

Hence, the correct answer is option a. Killing other people

The synonyms of Extravagant is Spending

Hence, the correct answer is option c. Spending

The antonyms of melodious is Harsh

Hence, the correct answer is option d. Harsh

Secondary storage devices are used to store data permanently and are not directly accessible by the CPU. A hard disk drive (HDD) is a primary example of secondary storage, unlike DRAM (Dynamic RAM) and SRAM (Static RAM), which are types of primary (or volatile) memory. "Per drive" is not a standard term related to storage.

Hence the correct answer is option d. hard disk drive

Symbian was one of the most popular mobile operating systems before Android and iOS became dominant. Windows Phone, BlackBerry OS, and Tizen (not "Tixen") are also relevant but were not as widely used as Symbian in that context.

Hence, the correct answer is option d. Symbian

Linux is a widely used open-source operating system, especially popular for servers due to its stability, security, and flexibility. Windows, macOS, and Android are not open-source or not as predominantly used for servers.

Hence, the correct answer is option c. Linux

Microsoft Access is a database management system that allows users to create and manage forms. Excel is for spreadsheets, PowerPoint for presentations, and Word for documents.

Hence, the correct answer is option d. Access

The .pptx file extension is used for Microsoft PowerPoint presentations. It is not used for MS-Word or MS-Excel.

Hence, the correct answer is option a. MS- Power point

Simple Mail Transfer Protocol is used to send email messages.

Hence, the correct answer is option b. To send email message

Facebook is the most widely used social networking platform globally. Twitter, LinkedIn, and Instagram are also popular but not as widespread as Facebook.

Hence, the correct answer is option a. Facebook

Viruses are one of the most common types of malware that infect and spread between computers. While ransomware, Trojans, and worms are also common, viruses have historically been very prevalent.

Hence, the correct answer is option c. Virus

Presentation software, such as Microsoft PowerPoint, is specifically designed for creating and delivering presentations. Word processing software, spreadsheet software, and text editors are used for other purposes.

Hence, the correct answer is option d. Presentation Software

An AND gate in digital logic produces a high (1) output only if all of its inputs are high (1). If any input is low (0), the output will be low (0).

Hence, the correct answer is option c. all the inputs are high