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The tuition fees for the BE courses at BITS Pilani Goa ranges between INR 20.76 Lacs - INR 61.49 lakh. The amount mentioned is the total tuition fees charged for the BE courses at BITS Pilani Goa. Usually, the tuition fee is paid in 2 instalments for each semester at BITS Pilani Goa. However, candidates are advised to visit the official website and confirm the tuition fee structure for themselves.

(c):We have 4 men = 5 women 1 man = $\frac{5}{4}$ $\frac{}{}$ women, 2 women = 4 boys, 1 women = 2 boys $\frac{5}{4}$ $\frac{}{}$ women = 2 * $\frac{5}{4}$ $\frac{}{}$ boys = $\frac{5}{2}$ $\frac{}{}$ or 1 man = $\frac{5}{4}$ $\frac{}{}$ women = $\frac{3}{2}$ $\frac{}{}$ boys

Now 2M + 3W+ 4B = 2 * B + 3 * 2B + 4B = 15 B Boys

Or 15 Boys do the work in 10 days (10 hectares) 6M + 4W + 7B = (6 * + 4 * 2 + 7) B = 30

Boys 30 boys will do 16 hectares of work in 8 days.

$x=2t-1$

$v=\frac{dx}{dt}=2 m s^{-1}$

$P=F·v$

$=2\times 5=10 W$

(c):When the number of cookies was divided into 8 parts or multiples of 8 parts, 2 were always left. So the number of cookies must be a multiple of 8 + 2. Only 17 is not such a value

Total numbers of ways = 5 × 6

Numbers of ways in which men can sit such that no men sat to the left of the women from his team i.e. Derangement of 6

D6 = $6!\left[\frac{1}{0!} +\frac{1}{1!} +\frac{1}{2!} +\frac{1}{3!} +\dots \dots \dots \frac{1}{6!} \right]$

= 265

F (0) = 5 × 265

Probability = $\frac{5!\times 265}{6!\times 5!}=\frac{53}{144}$

(d)   :  4¹¹ + 4¹² + 4¹³ + 4¹⁴ + 4¹⁵

= 4¹¹ (1 + 4¹ + 4² + 4³ + 4⁴) = 4¹¹ * 341.

The factors of 341 are: 1, 11, 31 and 341. Thus, we can say that the values in each of the three options would divide the expression.

The university offers more than 10 courses in various streams such as Computer Application, Science, Management, etc. The selection criteria are completely based on the entrance exam as per the course requirement. To get admitted to VDPGC, candidates must meet the eligibility criteria set by the institute. 

No, Rungta College of Dental Sciences and Research is not under CUET. The college accepts scores of other entrance exams such as NEET UG, Chattisgarh NEET, etc. Candidates must apply for their preferred course by filling out the application forms available online on the official website of Rungta College of Dental Sciences and Research.

It is given average of 24 numbers = 59.5

Sum = 59.5 ×24 = 1428

Let the numbers erased be ‘m’

1428 + m = $2\left(n\times 25+\frac{25\times 26}{2}\right)$

1428 + m = 50n + 650

50n – m = 778

Least value ‘n’ can take 16

(i) for n = 16, m =22

Series 2 (17, 18… 41)

i.e. 34, 36, 38 ….82

from this series we cannot remove 22. So, this case is not valid.

(ii) for n = 17, m = 72

Series 2 (18, 19… 42)

Only this case is valid

Average (A) = $\frac{\left(36+84\right)}{2}$ = 60

Sum of series after removing 72 and adding next consecutive even number

1500 – 72 + 86 = 1514

Average (C) = 1514/25 = 60.56

A – C = 60 – 60.56

= 0.56

(b):If X be the distance, we have:

$\frac{\left(\frac{X}{3}\right)}{10}+\frac{\left(\frac{X}{3}\right)}{9}+\frac{\left(\frac{X}{3}\right)}{8}+\frac{\left(\frac{1}{2}\right)}{60}=\frac{\left(\frac{X}{2}\right)}{10}+\frac{\left(\frac{X}{2}\right)}{8}$ or

X = 27 km.

(a):Let us suppose the income of man = Rs. 1000

Savings = 15% of 1000 = Rs. 150

Expenditure = 1000 – 150 = 850

New Income = 1.2 * 1000 = 1200

New Expenditure = 1.1 * 850 = 935

New Savings = 1200 – 935 = 265

Required percentage = $\frac{265}{1200}*100=22.08\mathrm{\%}$

The cutoff for the academic year 2025 is yet to be released for BTech courses at FIEM. However, to evaluate the upcoming competition level, candidates can refer to the previous years' cutoff trends according to applicants' WBJEE ranks:

After a GNM course, you can explore several job options like a GNM Nurse, Midwife, Home Nurse, Travel Nurse, etc. As a fresher, you can expect a salary of INR 2.3 LPA in India, and with some years of experience, package will get higher.

Starting salary of a GNM Nurse also depends on employer. Many companies like Archean Chemical Industries, Asian Vivekanand Super Specialty Hospital, Maa Janki Hospital & Research Centre, etc., offer INR 5 - 8 LPA.

(c):Total number of factors of factors of 756 = 22 × 33 × 7 = (2 + 1) (3 + 1) (1 + 1) = 24

So, total sets are $\frac{24}{2}=12.$

Rungta College of Dental Sciences and Research accepts 12th marks, but only for the eligibility requirements. The admissions are entrance-based and scores of various entrance exams are accepted for the same. Candidates must pass Class 12 with a minimum if 50% aggregate in PCM from a recognised board to apply for te BDS course at Rungta College of Dental Sciences and Research. 

No, the admission to the BBA programme at Prestige Institute of Management and Research is generally based on Class 12 academic performance. Applicants meeting the minimum eligibility criteria can apply directly without appearing for an entrance examination.

In the case of pure rolling,

The topmost point will have velocity $2v$ while point $Q$ i.e. the lowest point will have zero velocity. Hence point $P$ moves faster than point $Q$ .

(a):Cost of material = 30% of 4000 = 1200

New cost of material = $\frac{\frac{}{}}{}$ $1200\left(1?\frac{\frac{26}{6}}{100}\right)$ = 1150

Cost of manufacturing = $2000\left(1+\frac{20}{100}\right)$ $\frac{}{}$ = 2400

So, new profit = 4000 – (2400 + 1150) = 450