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No, international students are required to buy the medical insurance for a year or less from their home country insurance provider. They can buy a travel policy or a private medical insurance, depending on the period of the stay. After the first year, it is mandatory for international students to buy health insurance from an Irish provider. The main medical insurance providers in Ireland are Irish Life Health, VHI Healthcare, Laya Healthcare, and GloHealth.

20. Ce  =  4f¹ 5d¹ 6s²

Ce^{3 +}  =  4f¹ 5d⁰ 6s⁰ 

As in Ce³⁺ ,

4f has only single electron. Cerium holds the capacity to lose this electron also and attain 4f⁰ configuration which is more stable. 

Ce⁴⁺  =  4f⁰ 5d⁰ 6s⁰

Hence it shows 4⁺ oxidation states.

The given equation of the curve is

$\begin{array}{l}{y}^2=4x\\ \Rightarrow y=\pm \surd 3\end{array}$

$\begin{array}{l}\mathrm{\to \; y}=+\surd 2x\end{array}$ in Ist quadrant

So, area of curve enclosed by $y^2=4x$

And $x=3=2\times \; area$ area (AOCA)

UCEOU boasts a good number of seats for admission to BE courses. As per official sources, the institute has a total of 450 seats. This means that 450 students can pursue this course in a single academic batch. Moreover, these seats are distributed among the specialisations offered by the institute.

The Saint Louis University placement rate stands at 89%, per data curated from official sources. Majority of the SLU graduates are employed across a number of popular industries, including Computer Engineering, Education, Military, Government Services, & Healthcare among others.

Given below is a description of the graduate outcomes at Saint Louis University:

Mithibai College admission to the UG and PG courses is merit-based. Mithibai College cutoff 2025 has been released for Round 1.  The cutoff percentages are released based on candidates' performance in the Class 12 exam. For the General category students belonging to the Home State quota, the cutoff percentages ranged between 44.33 and 49.67 for admission to the BA, BSc and BCom courses across multiple specialisations. Candidates can refer to the table below to view the Mithibai College first merit list 2025 for all the courses. 

19. As an effect of lanthanoid contraction, zirconium and hafnium have similar radius of 160 pm and 159 pm respectively. Due to this similarity in their size, they show similar physical and chemical properties. 

Lanthanoid contraction: Because the elements in Row 3 have 4f electrons. These electrons do not shield good, causing a greater nuclear charge. This greater nuclear charge has a greater pull on the electrons and result in the decrease in their size and atomic radii. 

40. Option (i) and (iii)

Calcination is the process of heating when the volatile matter escapes, leaving the metal oxide behind. It is usually done in the absence of air.

Given curve is $x^2=4y$ and the equation of line is $x=4y-2$

The point of intersection of the curve and the line can be determine as follows.

Put, $x=4y-2\Rightarrow x+2=4y\Rightarrow y\frac{x+2}{4}$

In $x^2=4y$ to determine value of x

i.e, $x^2=4\times \frac{\left(x+2\right)}{4}=x+2$

$\begin{array}{l}\Rightarrow x^2-x-2=0\Rightarrow x^2+x-2x-2=0\\ \Rightarrow x\left(x+1\right)-2\left(x+1\right)=0\\ \Rightarrow \left(x+1\right)\left(x-2\right)=0\end{array}$

$\Rightarrow x=2$ and $x=-1$

$x=2$ , we have ${\left(2\right)}^2=4y\Rightarrow 4-4y\Rightarrow y=1$

And at $x=-1$ we have ${\left(-1\right)}^2=4y\Rightarrow y=\frac{1}{4}$

So, the coordinates A and B are (2,1) and ( $-1,\frac{1}{4}$ )

$\therefore$ The required area before the line & the curve is area $B{D}^{\iota }AB$ = area of trapezium (BNMAB)- area under curve BDA

$\begin{array}{l}={\displaystyle \underset{-1}{\overset{2}{\int }}{y}_{line}}dx-{\displaystyle \underset{-1}{\overset{2}{\int }}{y}_{curve}}dx\\ ={\displaystyle \underset{-1}{\overset{2}{\int }}\frac{x+2}{4}da-{\displaystyle \underset{-1}{\overset{2}{\int }}\frac{x^2}{4}}}\\ =\frac{1}{4}{\displaystyle \underset{-1}{\overset{2}{\int }}xda+\frac{2}{4}{\displaystyle \underset{-1}{\overset{2}{\int }}dx-\frac{1}{4}{\displaystyle \underset{-1}{\overset{2}{\int }}{x}^{2}dx}}}\end{array}$

$\begin{array}{l}=\frac{1}{4}{\left[\frac{x^2}{2}\right]}_{-1}^2+\frac{2}{4}{\left[x\right]}_{-1}^2-\frac{1}{4}{\left[\frac{x^3}{3}\right]}_{-1}^2\\ =\frac{1}{8}\left[2^2-{\left(-1\right)}^2\right]+\frac{1}{2}\left[2-\left(-1\right)\right]-\frac{1}{12}\left[2^3-{\left(-1\right)}^3\right]\end{array}$

$\begin{array}{l}=\frac{3}{8}+\frac{3}{2}-\frac{9}{12}=\frac{3}{8}+\frac{3}{2}-\frac{3}{4}=\frac{3+4\times 3-2\times 3}{8}\\ =\frac{3+12-6}{8}=\frac{9}{8}uni{t}^2\end{array}$

18. Ce, Pr and Nd belong to the lanthanide series whereas Th, Pa and U belong to the actinides family. 

When electrons start accommodating the 4f and 5f orbitals, the 5f electrons penetrate less into the inner core. They are more effectively shielded nuclei in comparison to 4f-electrons in lanthanides. This leads to the fact that 5f-electrons experience reduced nuclear force of attraction and hence they have Lower ionisation enthalpies than lanthanoids. 

Given that equation of

curve $y=x^2$

line $y=\left|x\right|=\left\{x,ifx\ge 0\&-x,ifx\angle 0\right\}$

Since the line passes through A&B in Ist and IInd quadrants

the equation must satisfy

$\Rightarrow y=x^2$

$\Rightarrow x=x^2$ for Ist quadrant and

$\Rightarrow -x=x^2$ for IInd t quadrant

So, $\Rightarrow x^2-x=0$ and $x^2+x=0$

$\Rightarrow x\left(x-1\right)=0$ and $x\left(x+1\right)=0$

$\Rightarrow x=0,1$ $x=0,-1$

$x=0,y=0$

$x=1,y=1$ i.e, A has coordinate (1,1)

$x=-1,y=1$ i.e, B has coordinate (1,1)

Now, area of AODA = area (AOM)-area (ADOM)

$={\displaystyle \underset{0}{\overset{1}{\int }}{y}_{line}dx-{\displaystyle \underset{0}{\overset{1}{\int }}{y}_{curve}dx}}$

$={\displaystyle \underset{0}{\overset{1}{\int }}xdx-{\displaystyle \underset{0}{\overset{1}{\int }}{x}^2}dx={\left[\frac{x^2}{2}\right]}_0^1-}{\left[\frac{a^3}{3}\right]}_0^1$

$=\frac{1}{2}-\frac{1}{3}=\frac{3-2}{6}=\frac{1}{6}unit{s}^2$

$\therefore$ The required area of the region bounded by curve $y=x^2$ and line $y=\left|x\right|$ is $\frac{1}{6}+\frac{1}{6}=\frac{2}{6}=\frac{1}{3}unit{s}^2$

The timely purchase of medical insurance is advised for all international students planning to study in Ireland. Starting early will help the students in making the right choice regarding the insurance provider. They can also get time to compare the cost of various available policies and get the insurance cover as per the Irish immigration requirements and at the best prices available. It is important to note that the proof of insurance is required for registration with immigration authorities. Thus, it is better to arrange for the student health insurance for Ireland well in time.

39. Option (ii) and (iii)

The froth floatation method is most commonly used for sulfide ore. Sulfide ores galena (PbS) and copper pyrites  (CuFeS₂) are found here.

International students must be very carefully in meeting the admission requirements and submitting the required documents, at the time of filling out the application to take admission at MITT. There are a general set of documents which applicants need to submit, they are:

• Academic transcripts of all the previous schools/institute attended.
• English language proficiency test scores
• Statement of purpose
• An updated CV/resume
• References, if any
• Employment history, if any
• A copy of valid passport

Some programs might have additional requirements, thus, it is mandatory to refer to the official programme list for program-specific submissions.

UHS Bagalkot BSc admission takes place through the merit secured in KCET or ICAR AIEEA entrance exams. Candidates applying for admission into the programme will have to secure a valid score in either of the two exams to be eligible for admission into the programme. Once candidates have applied with a valid score they will have to appear for counselling to finalise their admission into the programme.

Kindly go through the solution

$\Rightarrow 4a^3=4^3$ (Squaring both sides)

$\Rightarrow a^3=4^2$

$\Rightarrow a=4^{\frac{2}{3}}$ (Taking cube on both sides)

38. Option (iii) and (iv)

Bauxite consists of many impurities like hematite, goethite,  Fe₂O₃, the sand SiO₂, etc.'

A comprehensive medical insurance is needed by international students planning to study in Ireland. The insurance must provide a coverage of minimum of €25,000 for accident and €25,000 for illness. Also, it should cover any period of hospitalization through out the term of the insurance. Repatriation cover is another aspect one should consider while selecting the health insurance policy. The students can also look for insurance policies where dental and optical coverage are included.

Yes, Indo Global Group of Colleges provides Special Scholarship for SC/ ST students. The scholarship is offered to meritorious students. Those interested can contact the college for more information about the offered scholarships.