Explanation

6P4 = 6 × 5 × 4 × 3 = 360.

Explanation

 Electromagnetic force is a scalar quantity.

Force is defined as the product of mass and acceleration and force is a vector quantity.

This is the pair in which one physical quantity is scalar and the other is a vector.

Explanation

Monosaccharides are the building blocks of disaccharides (such as sucrose, lactose, and maltose) and polysaccharides (such as cellulose and starch).

A glycosidic bond is a covalent bond that connects two monosaccharides to form a disaccharide or polysaccharide. 

Explanation

When the velocity-time graph is a straight line parallel to the time axis then its acceleration is zero.

This is because velocity is constant w.r.t time ie., the change in velocity is zero.

Hence, the acceleration is also zero.

Explanation

Circinate vernation, a term in botany, describes the arrangement of young leaves in a coiled or spiralled manner, characteristic of fern fronds. This coiled structure, often resembling a crozier or fiddlehead, protects the tender growing tip of the leaf as it matures. 

Explanation

We are given:

• $x+y=6$

• $xy=5$

We are asked to find:
$x^2 + y^2$

Step-by-step solution:

Use the identity:

x^2+y^2=(x+y)^2−2xy

Substitute the given values:

$$$$x^2+y^2=(6)^2−2(5)=36−10=26

Explanation

• Total amount = 129,000

• People involved:

  • 5 sons → each gets 5x

  • 4 daughters → each gets 4x

  • 3 nephews → each gets x

Let the amount each nephew gets be x

Now express the total amount in terms of x:

• Nephews: $3x$
  

• Daughters: $4\times 4x=16x$

• Sons: $\mathrm{<br>}$

• Total = $3x+16x+25x=44x$

Set up the equation:

$$44x = 129000 Rightarrow x = frac{129000}{44} = ₹2931.82overline{72}$$44​=2931.8272

Explanation

An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant.

Let’s check each option:

B. 72, 73, 75, 78
Differences: +1, +2, +3 → Not arithmetic

A. 31, 32, 33, 34
Common difference: +1 → Arithmetic

C. 11, 15, 17, 23

Differences: +4, +2, +6 → Not arithmetic

Explanation

Devonian Period is spanning between about 419.2 million and 358.9 million years ago 

It was In geologic time, an interval of the Paleozoic Era

It is sometimes called the “Age of Fishes”

Plants, invertebrates, and other vertebrate lifeforms also experienced major changes in the Devonian

Additional informational:

The name of the Devonian Period is derived from the county of Devon, Eng.

During most of the Devonian Period, North America, Greenland, and Europe were united into a single Northern Hemisphere landmass

Explanation

If $\sin A=\sin B$, then:

A=B+360∘n or A=180∘−B+360∘n, where n ∈ Z

Let’s solve:

Case 1:

60∘+X=60∘⇒X=0∘

Case 2:

$$60^circ + X = 180^circ - 60^circ = 120^circ Rightarrow X = 60^circ$$

Possible values of X:

$$X = 0^circ quad text{or} quad X = 60^circ$$