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5 months agoContributor-Level 10
Test | Minimum Score |
|---|---|
IELTS | 7.5 overall and subscores |
TOEFL iBT | 102 overall and 25+ subscores |
TOEFL Essentials | 11 overall and subscores |
DET | 135 overall and subscores |
Cambridge English | 191 overall and subscores |
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5 months agoContributor-Level 10
Given r × a = r × b, which means r × a - r × b = 0 ⇒ r × (a - b) = 0.
This implies that vector r is parallel to vector (a - b).
So, r = λ (a - b) for some scalar λ.
a - b = (2i - 3j + 4k) - (7i + j - 6k) = -5i - 4j + 10k.
So, r = λ (-5i - 4j + 10k).
We are also given r ⋅ (i + 2j + k) = -3.
λ (-5i - 4j + 10k) ⋅ (i + 2j + k) = -3
λ (-51 - 42 + 10*1) = -3
λ (-5 - 8 + 10) = -3
λ (-3) = -3 ⇒ λ = 1.
So, r = 1 * (-5i - 4j + 10k) = -5i - 4j + 10k.
We need to find r ⋅ (2i - 3j + k).
(-5i - 4j + 10k) ⋅ (2i - 3j + k) = (-5) (2) + (-4) (-3) + (
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5 months agoBeginner-Level 5
The Tamil Nadu AYUSH 2025 registration was started on July 24, 2025. Applicants who wanted to fulfil the Tamil Nadu AYUSH counselling 2025 application form must fulfil the eligibility criteria. Students are advised to visit the official website to fill the TN AYUSH application form 2025.
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5 months agoContributor-Level 10
Carnegie Mellon's international student strength makes up about 45% of the total student population. Also the Indian-origin students currently studying at CMU amount to 1,700+
The enrollment trends for international students over the last few years are given below:
Year | International Enrollment | Indian Enrollment |
|---|---|---|
Fall 2023 | 6,308 | 1,777 |
Fall 2022 | 6,701 | 1,947 |
Fall 2021 | 5,697 | 1,471 |
Fall 2020 | 3,951 | 1,080 |
Fall 2019 | 5,597 | 1,445 |
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5 months agoContributor-Level 10
It is definitely worth choosing MSW programme when it comes to its placement packages offered. The key highlights MSW placement details recorded during IISWBM placements 2023-2024 are tabulated below:
Particulars | Placement Statistics (2023) | Placement Statistics (2024) |
|---|---|---|
the highest Package | INR 13.5 LPA | INR 18 LPA |
Average Package | INR 4.05 LPA | INR 4 LPA |
Median Package | INR 3.3 LPA | INR 3.3 LPA |
Placement Rate | 100% | 97% |
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5 months agoContributor-Level 10
Given equation of tangent is 2x - y + 1 = 0
equation of normal is x + 2y = 12
Solving with x - 2y = 4 we get centre at (6,2) radius = √ (36 + 9) = √45 = 3√5.
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5 months agoContributor-Level 10
We need to evaluate lim (x→0? ) (cos? ¹ (x - [x]²) ⋅ sin? ¹ (x - [x]²) / (x - x²).
As x → 0? , the greatest integer [x] = 0.
So the expression becomes:
lim (x→0? ) (cos? ¹ (x) ⋅ sin? ¹ (x) / (x (1 - x²)
= lim (x→0? ) cos? ¹ (x) * lim (x→0? ) (sin? ¹ (x) / x) * lim (x→0? ) (1 / (1 - x²)
We know lim (x→0) (sin? ¹ (x) / x) = 1.
lim (x→0? ) cos? ¹ (x) = cos? ¹ (0) = π/2.
lim (x→0? ) (1 / (1 - x²) = 1 / (1 - 0) = 1.
So the limit is (π/2) * 1 * 1 = π/2.
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5 months agoContributor-Level 10
BCom fee structure at Pt. Sundarlal Sharma (Open) University is available on the university's official website. Since fees are subject to revision, students are advised to regularly check the official platform for the most updated details before making payment and confirming their seat.
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5 months agoContributor-Level 10
The institute has decent placement record for the MBA program. Check out the details for the IISWBM placements 2023-2025 are tabulated below:
Particulars | Placement Statistics (2023) | Placement Statistics (2024) | Placement Statistics (2025) |
|---|---|---|---|
the highest Package | INR 18 LPA (MBA Day) INR 10 LPA (MBA HRM) INR 11 LPA (MBA PS) | INR 14 LPA (MBA HRM) | INR 11.50 LPA (MBA PS) INR 16 LPA (MBA Day) |
Average Package | INR 9 LPA (MBA Day) INR 8 LPA (MBA HRM) INR 5.70 LPA (MBA PS) | INR 8.09 LPA (MBA HRM) | INR 5.75 LPA (MBA PS) INR 8 LPA (MBA Day) |
Median Package | INR 10.5 LPA (MBA Day) INR 7 LPA (MBA HRM) INR 6 LPA (MBA PS) | INR 8.25 LPA (MBA HRM) | INR 5 LPA (MBA PS) INR 9 LPA (MBA Day) |
Placement Rate | 96% (MBA Day) 80% (MBA HRM) | NA | NA |
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5 months agoContributor-Level 10
The tuition fee for the BCom programme at Pt. Sundarlal Sharma (Open) University is INR 16,400 for the complete three-year duration. This fee is exclusive of additional expenses such as hostel charges, security deposits, and other related costs that may be part of the overall structure.
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5 months agoContributor-Level 10
The median package offered to the MBA and MSW placement details recorded during IISWBM placements 2023-2025 are tabulated below:
Particulars | Placement Statistics (2023) | Placement Statistics (2024) | Placement Statistics (2025) |
|---|---|---|---|
Median Package | INR 10.5 LPA (MBA Day) INR 7 LPA (MBA HRM) INR 6 LPA (MBA PS) INR 3.3 LPA (MSW) | INR 8.25 LPA (MBA HRM) INR 3.3 LPA (MSW) | INR 5 LPA (MBA PS) INR 9 LPA (MBA Day) |
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5 months agoContributor-Level 9
The course-wise median package received during MDU Rohtak placement 2025 is presented below:
Courses | Median Package (2022) |
|---|---|
Overall UG 4-Year | INR 7.82 LPA |
MBA | INR 3.6 LPA |
LLB | INR 0.5 LPA |
LLM | INR 8.2 LPA |
BPharm | INR 3.25 LPA |
MPharm | INR 4.5 LPA |
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5 months agoContributor-Level 9
MDU Rohtak average package data is not released. However, according to the NIRF report 2025, the course-wise median package received during MDU Rohtak placements over the past three years is presented below:
Courses | Median Package (2022) | Median Package (2023) | Median Package (2024) |
|---|---|---|---|
Overall UG 4-Year | INR 7.82 LPA | INR 8.6 LPA | INR 8.78 LPA |
MBA | INR 3.6 LPA | INR 3.25 LPA | INR 3.5 LPA |
LLB | INR 0.5 LPA | INR 1.2 LPA | INR 1.25 LPA |
LLM | INR 8.2 LPA | INR 8.3 LPA | INR 8.4 LPA |
BPharm | INR 3.25 LPA | INR 3.75 LPA | INR 4 LPA |
MPharm | INR 4.5 LPA | INR 4.9 LPA | INR 5.25 LPA |
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5 months agoContributor-Level 10
The list of top recruiters during IISWBM placements are presented below:
IISWBM Top Recruiters | |
|---|---|
Tata | PWC |
Berger | Asian Paints |
HUL | ICICI Bank |
Deloitte | Hero |
EY | HSBC |
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5 months agoContributor-Level 10
The expansion is (x + x^ (log? x)?
The (r+1)-th term is T? =? C? * x? * (x^ (log? x)?
The 4th term means r=3.
T? =? C? * x? * (x^ (log? x)³ = 35 * x? * x^ (3 log? x) = 35 * x^ (4 + 3 log? x).
Given T? = 4480.
35 * x^ (4 + 3 log? x) = 4480
x^ (4 + 3 log? x) = 4480 / 35 = 128.
x^ (4 + 3 log? x) = 128.
Take log? on both sides:
log? (x^ (4 + 3 log? x) = log? (128)
(4 + 3 log? x) * (log? x) = 7
Let t = log? x.
(4 + 3t)t = 7
3t² + 4t - 7 = 0
3t² - 3t + 7t - 7 = 0
3t (t-1) + 7 (t-1) = 0
(3t+7) (t-1) = 0
t = 1 or t = -7/3.
log? x = 1 ⇒ x = 2¹ = 2.
log? x = -7/3 ⇒ x = 2^ (-7/3).
Since x ∈ N, x = 2.
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5 months agoContributor-Level 9
The course-wise number of students placed during MDU Rohtak placements over the past three years is presented below:
Particulars | UG 4-year Placement Statistics (2022) | UG 4-year Placement Statistics (2023) | UG 4-year Placement Statistics (2024) |
|---|---|---|---|
Total students | 56 | 108 | 80 |
Students placed | 10 | 68 | 57 |
Students selected for higher studies | 46 | 40 | 22 |
Particulars | LLB Placement Statistics (2022) | LLB Placement Statistics (2023) | LLB Placement Statistics (2024) |
Total students | 57 | 92 | 74 |
Students placed | 40 | 80 | 64 |
Students selected for higher studies | 17 | 12 | 10 |
Particulars | LLM Placement Statistics (2022) | LLM Placement Statistics (2023) | LLM Placement Statistics (2024) |
Total students | 50 | 66 | 60 |
Students placed | 40 | 63 | 56 |
Students selected for higher studies | 5 | 3 | 4 |
Particulars | MBA Placement Statistics (2022) | MBA Placement Statistics (2023) | MBA Placement Statistics (2024) |
Total students | 180 | 210 | 151 |
Students placed | 92 | 151 | 98 |
Students selected for higher studies | 30 | 35 | 44 |
Particulars | BPharm Placement Statistics (2022) | BPharm Placement Statistics (2023) | BPharm Placement Statistics (2024) |
Total students | 51 | 50 | 55 |
Students placed | 15 | 26 | 36 |
Students selected for higher studies | 32 | 24 | 19 |
Particulars | MPharm Placement Statistics (2022) | MPharm Placement Statistics (2023) | MPharm Placement Statistics (2024) |
Total students | 43 | 55 | 50 |
Students placed | 21 | 49 | 46 |
Students selected for higher studies | 10 | 6 | 4 |
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5 months agoContributor-Level 10
Circle S? : x² + y² - 10x - 10y + 41 = 0.
Center C? = (5, 5). Radius r? = √ (5² + 5² - 41) = √ (25 + 25 - 41) = √9 = 3.
Circle S? : x² + y² - 16x - 10y + 80 = 0.
Center C? = (8, 5). Radius r? = √ (8² + 5² - 80) = √ (64 + 25 - 80) = √9 = 3.
The solution checks if the center of one circle lies on the other.
Put C? (8, 5) into S? : 8² + 5² - 10 (8) - 10 (5) + 41 = 64 + 25 - 80 - 50 + 41 = 130 - 130 = 0. So C? lies on S?
Put C? (5, 5) into S? : 5² + 5² - 16 (5) - 10 (5) + 80 = 25 + 25 - 80 - 50 + 80 = 130 - 130 = 0. So C? lies on S?
This means bo
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