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With a score of 137 in CUET PG Health Care and Hospital, you can look for universities like Central University of Rajasthan, Pondicherry University, Central University of Haryana, or Karnataka University, which typically have moderate cutoffs. Another option is IP University. You may even be accepted into some Delhi University departments if you meet the category or home-state quota.

Candidates comparing these two institutes can consider certain parameters. A few that can be considered are course fees, placements, location, faculty, etc. Below table presents a comparison between ICRI Pune and ILAM for their MBA course:

As per the above information, ILAM offers more affordable MBA programmes. However, the highest course fees is the same. Candidates can consider other parameters for college comparison. It must be noted that the given fee is as per the official website/ sanctioning body. It is still subject to changes and hence, is indicative.

46. Total number of ways of drawing 4 cards from a duck of 52 cards,  n (s) = ⁵²C₄

Total no. of diamond cards = 13

Similarly, total. no. of spades cards = 13

45. Given,

No. of red marbles= 10

No. of blue marbles = 20

No. of green marbles = 30.

So, total no. of marbles = 10 + 20 + 30 = 60

Now, we are to select 5 marbles from the given 60 marbles.

So the sample space is:

n (s) = ⁶⁰c₅.

44. Given that, total number of student, n (S) = 60

Let A: student opted for NCC

n (A) = 30

B: student opted for NSS

n (B) = 32

And student who opted both NCC and NSS, n (A∩B) = 24

(i) Probability that student opted for NCC or NSS,

P (A∪B) = P (A) + P (B) – P (A∩B)

$=\frac{n\left(\right)}{n\left(\right)}+\frac{n\left(\right)}{n\left(\right)}-\frac{n(A\cap B)}{n\left(\right)}$

$=\frac{30}{60}+\frac{32}{60}-\frac{24}{60}$

$=\frac{30+32-24}{60}=\frac{38}{60}=\frac{19}{30}$

(ii) Probability that student opted neither NCC or NSS

P (not A and not B) = P (A'∩B') = P (A∪B)' = 1 – P (A∪B)

$=1-\frac{19}{30}=\frac{30-19}{30}=\frac{11}{30}$

(iii) Probabilities that student opted NSS but not NCC

P (B but not A) = P (B) – P (A∩B)

$=\frac{32}{30}-\frac{24}{30}$

$=\frac{32-24}{30}=\frac{8}{30}=\frac{2}{15}$

43. Let A: student passing in Hindi

B: student passing in English

Given, P (B) = 0.75

P (A∩B) = 0.5, passing both subject

And P (A'∩B') = 0.1, i.e., passing neither subject

P (A∪B)' = 0.1

1 – P (A∪B) = 0.1

P (A∪B) = 1 – 0.1

P (A∪B) = 0.9

Hence, P (A∪B) = P (A) + P (B) – P (A∩B)

P (A) = P (A∪B) + P (A∩B) – P (B)

P (A) = 0.9 + 0.5 – 0.75 = 0.65

? The probability of passing Hindi examination is 0.65.

The institute has a total of 30 seats for the MBA programme in Aviation Management. There may not be any reserved seats. However, the guidelines of the state or central government may be followed for the seat allocation procedure. It must be noted that the mentioned seat count is as per the official website/ sanctioning body. It is subject to changes and hence, is indicative.

Candidates wishing to apply to the courses offered by Poornima College of Engineering, Poornima Group of Colleges must fill out the application form and pay the application fee. Candidates must keep the list of following documents in a scanned manner: 

• Class 10 marksheet
• Class 12 marksheet
• Graduation marksheet for PG courses
• TC
• Government ID

Candidates with the following documents can apply to the courses offered by Poornima College of Engineering, Poornima Group of Colleges. 

University of Southern California and University of Florida are known to be some of the most recognised universities in the USA and worldwide. The comparative rankings of both universities are given in the table below:

The eligibility criteria for the BBA at APJ Abdul Kalam Technological University are Class 12 in any stream (Science, Commerce, or Arts) with an aggregate of 50%. Candidates are required to apply on the official website of affiliated colleges and fill out the application form, and submit all the documents related to the Class 12 exams.

42. Let A: Student passes 1st examination

So, P (A) = 0.8

And B: Student passes 2nd examination

So, P (B) = 0.7

Also probability of passing at least one examination is P (A∪B) = 0.95

Therefore, P (A∪B) = P (A) + P (B) – P (A∩B)

0.95 = 0.8 + 0.7 – P (A∩B)

P (A∩B) = 0.8 + 0.7 – 0.95

P (A∩B) = 0.55

Hence, probability of passing both examination is 0.55.

SSC exams usually have an upper age limit of 27–32, but at 35 your daughter can still try if she gets age relaxation under SC/ST, OBC, PwD, or special women's categories. The best step is to check the SSC calendar on ssc.nic.in, see which posts she's eligible for, and apply online when the form opens.

41. Given that, 40% study Mathematics, 30% study Biology and 10% study both Mathematics and Biology.

Let A: Students study Mathematics.

P (A) = 40% = $\frac{40}{100}$ .

Let B: Students study Biology.

P (B) = 30% = $\frac{30}{100}$ .

So, P (A∩B) i.e. probability of student studying both Mathematics and Biology is

P (A∩B) = 10% = $\frac{10}{100}$

? P (A∪B); probability of student studying Mathematics or Biology is

P (A∪B) = P (A) + P (B) – P (A∩B)

$=\frac{40}{100}+\frac{30}{100}-\frac{10}{100}$

$=\frac{60}{100}$

$=\frac{3}{5}$ .

The selection process for KTU - APJ Abdul Kalam Technological University BBA course is subject to a valid score in the last qualifying exam, i.e., Class 12. Eligible candidates can apply on the official website of the affiliated colleges to apply for the course. While filling in the application form, candidates are required to submit all the necessary documents. 

40. Given P (A) = 0.42

P (B) = 0.48

P (A∩B) = 0.16

(i) P (not A) = P (A') = 1 – P (A) = 1 – 0.42 = 0.58

(ii) P (not B) = P (B') = 1 – P (B) = 1 – 0.48 = 0.52

(iii) P (A or B) = P (A∪B) = P (A) + P (B) – P (A∩B)

= 0.42 + 0.48 – 0.16

= 0.74

There are a total of 30 seats for MBA in Aviation Management at ICRI Pune. The seat allotment process is carried out as per the sanctioned intake. In addition, the applicants merit in the entrance test and interview round is also considered. This seat count is further as per the official website/ sanctioning body. It is still subject to revision and hence, is indicative.