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a month ago

Chandigarh University (CU) Colleges in Chandigarh

What's the average package?! How deeply they teach subject is it all about just introduction or advanced??

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Advik

Beginner-Level 5

Chandigarh University's BBA FinTech program offers a forward looking curriculum designed to match the evolving financial technology industry. Developed with KPMG, it introduces students to areas like cryptocurrency, regulatory technology (RegTech), digital payments, and risk analytics. The program encourages practical learning through workshops, live instructor-led sessions, and projects where students design fintech solutions or simulate financial scenarios. Students also gain exposure to cloud computing tools, data visualization software, and AI applications in finance.

The course balances core business management subjects like

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a month ago

India Rajasthan

What is the cutoff in karnataka state Kota of MBBS in NEET 2025

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a month ago

Study Abroad Masters

Could you guide me on applying to a public university in France for a Masters in Data Science? CGPA 7.78, 1.8 years experience.

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a month ago

Business Management Studies Science

I am From PCB Stream in Class 12th But now I want to pursue BBA Futher from CUET but which subject do I choose in domain

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Lakshay Garg

Beginner-Level 1

You can't do BBA from CUET with PCB in 12 th as CUET requires the same subjects as in 12th for BBA you need math's English and general test

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a month ago

Exam Study Abroad

Do the universities offering in Finland require IELTS?

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Kanishka Gambhir

Contributor-Level 10

Yes, English language requirement is one of the important requirements for admission in MBA in Finland. Universities in Finland accepts IELTS exam scores as a proof of proficiency in the English language and students can refer to the table below for minimum score details:

University	Minimum IELTS Score Requirements
University of Helsinki	A minimum overall score of 6.5 (with a minimum of 6.0 in the writing section)
Aalto University
University of Turku
Lappeenranta University of Technology	A minimum overall score of 6.5
University of Eastern Finland	A minimum overall score of 6.5 (with a minimum of 5.5 in the writing section)

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a month ago

Complex Numbers and Quadratic Equations Maths

Let z₁ and z₂ be two complex numbers such that z₁ + z₂ = 5 and , then the value of is equal to

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alok kumar singh

Contributor-Level 10

z₁ + z₂ = 5

$z_{1}^{3} + z_{2}^{3} = 20 + 15 i$

$z_{1}^{3} + z_{2}^{3} = {(z_{1} + z_{2})}^{3} - 3 z_{1} z_{2} (z_{1} + z_{2})$

$z_{1}^{3} + z_{2}^{3} = 125 - 3 z_{1} \cdot z_{2} (5)$

⇒ 20 + 15i = 125 – 15z₁z₂

⇒ 3z₁z₂ = 25 – 4 – 3i

3z₁z₂ = 21– 3i

z₁⋅z₂ = 7 – i

(z₁ + z₂)² = 25

$z_{1}^{2} + z_{2}^{2} = 25 - 27 (7 - i)$

= 11 + 2i

${(z_{? 1}^{2} + z_{2}^{2})}^{2}$ = 121 − 4 + 44i

⇒ $z_{1}^{4} + z_{2}^{4} + 2 {(7 - i)}^{2} = 117 + 44 i$

⇒ $z_{1}^{4} + z_{2}^{4}$ = 117 + 44i − 2(49 −1−14i )

= 21 + 72i

⇒ $| Z_{1}^{4} + Z_{2}^{4} | = 75$

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a month ago

Relations and Functions Maths

Let : f(0, R)->∞ be increasing function such that $\underset{x \to \infty}{l i m} \frac{f (7 x)}{f (x)} = 1$ then $\underset{x \to \infty}{l i m} (\frac{f (5 x)}{f (x)} - 1)$ is equal to

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alok kumar singh

Contributor-Level 10

f is increasing function

x < 5x < 7x

f (x) < f (5x) < f (7x)

$\frac{f (x)}{f (x)} < \frac{f (5 x)}{f (x)} < \frac{f (7 x)}{f (x)}$

$\underset{x \to \infty}{l i m} \frac{f (x)}{f (x)} < \underset{x \to \infty}{l i m} \frac{f (5 x)}{f (x)} < \underset{x \to \infty}{l i m} \frac{f (7 x)}{f (x)}$

-> $1 < \underset{x \to \infty}{l i m} \frac{f (5 x)}{f (x)} < 1$ $\underset{x \to \infty}{l i m} \frac{f (5 x)}{f (x)} = 1$

$\underset{x \to \infty}{l i m} (\frac{f (5 x)}{f (x)} - 1) = 0$

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a month ago

Matrices Maths

If $A [\begin{matrix} 1 & 0 & 1 \end{matrix}] = 2 [\begin{matrix} 1 & 0 & 1 \end{matrix}]$ , $A [\begin{matrix} - 1 & 0 & 1 \end{matrix}] = 4 [\begin{matrix} - 1 & 0 & 1 \end{matrix}]$ and $A [\begin{matrix} 0 & 1 & 0 \end{matrix}] = 2 [\begin{matrix} 1 & 0 & 0 \end{matrix}]$ where, A is a 3 × 3 matrix and (A –3I) $[\begin{matrix} x & y & z \end{matrix}] = [\begin{matrix} - 1 & 2 & 3 \end{matrix}]$ then the value of (x, y, z) is

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alok kumar singh

Contributor-Level 10

Let $A = [\begin{matrix} x_{1} & y_{1} & z_{1} \\ x_{2} & y_{2} & z_{2} \\ x_{3} & y_{3} & z_{3} \end{matrix}]$

Given $A = [\begin{matrix} 1 & 0 & 1 \end{matrix}] = [\begin{matrix} 2 & 0 & 2 \end{matrix}]$ .(1)

$[\begin{matrix} x_{1} + z_{1} & x_{2} + z_{2} & x_{3} + z_{3} \end{matrix}] = [\begin{matrix} 2 & 0 & 2 \end{matrix}]$

∴ x₁ + z₁ = 2 … (2)

x₂ + z₂ = 0 … (3)

x₃ + z₃ = 0 … (4)

Given $A = [\begin{matrix} - 1 & 0 & 1 \end{matrix}] = [\begin{matrix} - 4 & 0 & 4 \end{matrix}]$

$[\begin{matrix} - x_{1} + z_{1} & - x_{2} + z_{2} & - x_{3} + z_{3} \end{matrix}] = [\begin{matrix} 4 & 0 & 4 \end{matrix}]$

⇒ – x₁ + z₁ = −4 … (5)

–x₂ + z₂ = 0

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Let $A = [\begin{matrix} x_{1} & y_{1} & z_{1} \\ x_{2} & y_{2} & z_{2} \\ x_{3} & y_{3} & z_{3} \end{matrix}]$

Given $A = [\begin{matrix} 1 & 0 & 1 \end{matrix}] = [\begin{matrix} 2 & 0 & 2 \end{matrix}]$ .(1)

$[\begin{matrix} x_{1} + z_{1} & x_{2} + z_{2} & x_{3} + z_{3} \end{matrix}] = [\begin{matrix} 2 & 0 & 2 \end{matrix}]$

∴ x₁ + z₁ = 2 … (2)

x₂ + z₂ = 0 … (3)

x₃ + z₃ = 0 … (4)

Given $A = [\begin{matrix} - 1 & 0 & 1 \end{matrix}] = [\begin{matrix} - 4 & 0 & 4 \end{matrix}]$

$[\begin{matrix} - x_{1} + z_{1} & - x_{2} + z_{2} & - x_{3} + z_{3} \end{matrix}] = [\begin{matrix} 4 & 0 & 4 \end{matrix}]$

⇒ – x₁ + z₁ = −4 … (5)

–x₂ + z₂ = 0 … (6)

–x₃ + z₃ = 4 … (7)

Given $A = [\begin{matrix} 0 & 1 & 0 \end{matrix}] = [\begin{matrix} 0 & 2 & 0 \end{matrix}]$

$[\begin{matrix} y_{1} & y_{2} & y_{3} \end{matrix}] = [\begin{matrix} 0 & 2 & 0 \end{matrix}]$

∴ y₁ = 0, y₂ = 2, y₃ = 0

∴ from (2), (3), (4), (5), (6) and (7)

x₁ = 3, x₂ = 0, x₃ = –1

y₁ = 0, y₂ = 2, y₃ = 0

z₁ = –1, z₂ = 0, z₃ = 3

$A = [\begin{matrix} 3 & 0 & - 1 \\ 0 & 2 & 0 \\ - 1 & 0 & 3 \end{matrix}]$

Now (A – 3I) $[\begin{matrix} x & y & z \end{matrix}]$ = $[\begin{matrix} - 1 & 2 & 3 \end{matrix}]$

$[\begin{matrix} 0 & 0 & - 1 \\ 0 & - 1 & 0 \\ - 1 & 0 & 0 \end{matrix}] [\begin{matrix} x & y & z \end{matrix}] = [\begin{matrix} - 1 & 2 & 3 \end{matrix}]$

$[\begin{matrix} - z & - y & - x \end{matrix}]$ = $[\begin{matrix} - 1 & 2 & 3 \end{matrix}]$

[z = 1], [y = –2], [x = –3]

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a month ago

Maths Application of Integrals Maths

The area of the region enclosed by the parabolas y = 4 – x² and 3y = (x – 4)² is in (sq. unit)?

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alok kumar singh

Contributor-Level 10

Area = $| \int_{1}^{4} [{(4 - x)}^{2} - \frac{{(x - 4)}^{2}}{3}] | d x$

Area = $= | (16 - \frac{64}{3}) - (4 - \frac{1}{3} + \frac{27}{9}) |$

$= | (16 - \frac{64}{3}) - (4 - \frac{1}{3} + \frac{27}{9}) |$

$= | 16 - \frac{64}{3} - 4 + \frac{1}{3} + 3 |$

$= | 15 - 2 | = 6$

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a month ago

Sequences and Series Maths

If 2^nd, 8^th, 44^th terms of A.P. are 1^st, 2^nd and 3^rd terms respectively of G.P. and first term of A.P. is 1 then the sum of first 20 terms of A.P. is

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alok kumar singh

Contributor-Level 10

a + d, a + 7d and a + 43d are 1^st, 2^nd, 3^rd term of G.P.

$\frac{a + 7 d}{a + d} = \frac{a + 43 d}{a + 7 d}$

⇒ (a + 7d)² = (a + d) (a + 43d)

⇒ a² + 49d² + 14d = a² + 44ad + 43d³

⇒ 6d² = 30ad

⇒ d² = 5d

⇒ d = 0, 5

a = 1, d = 5

$S_{20} = \frac{20}{2} [2 + (19) 5]$

= 10 [95 + 2]

= 970

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a month ago

Statistics Maths

Let mean and variance of 6 observations a, b, 68, 44, 40, 60 be 55 and 194. If a > b then find a + 3b

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alok kumar singh

Contributor-Level 10

$\frac{a + b + 68 + 44 + 40 + 60}{6} = 55$

212 + a + b = 330

⇒ a + b = 118

$\frac{\sum_{}^{} x_{i}^{2}}{n} - {(\bar{x})}^{2} = 194$

$\frac{a^{2} + b^{2} + {(68)}^{2} + {(44)}^{2} + {(40)}^{2} + {(60)}^{2}}{6} = {(55)}^{2} = 194$

= 3219

11760 + a² + b² = 19314

⇒ a² + b² = 19314 – 11760

= 7554

(a + b)² –2ab = 7554

From here b = 41.795

a + b = 118

⇒ a + b + 2b = 118 + 83.59

= 201.59

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a month ago

Probability Maths

A coin is biased such that head has two chances than tails, what is the probability of getting 2 heads and 1 tail?

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alok kumar singh

Contributor-Level 10

Let probability of tail is $\frac{1}{3}$

⇒ Probability of getting head = $\frac{2}{3}$

∴ Probability of getting 2 heads and 1 tail

$= (\frac{2}{3} \times \frac{2}{3} \times \frac{1}{3}) \times 3$

$= \frac{4}{27} \times 3$

$= \frac{4}{9}$

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a month ago

Trigonometric Functions Maths

a = sin⁻¹(sin5), b = cos⁻¹(cos5) then a² + b² is equal to

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alok kumar singh

Contributor-Level 10

a = sin⁻¹ (sin5) = 5 − 2π

and b = cos⁻¹ (cos5) = 2π − 5

∴ a² + b² = (5 − 2π)² + (2π − 5)²

= 8π² − 40π + 50

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a month ago

Chemistry Hydrocarbon Chemistry

Number of structural isomeric products formed by monochlorination of 2-methylbutane in presence of sunlight is______.

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alok kumar singh

Contributor-Level 10

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a month ago

Block D and F Elements Chemistry

The potassium chloride is heated with potassium dichromate and conc. sulphuric acid to give products. The oxidation state of chromium in product is (+)_______.

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alok kumar singh

Contributor-Level 10

This is an example of chromyl chloride test

K₂Cr₂O₇ + 4KCl + 6H₂SO₄? 6KHSO₄ + 2CrO₂Cl₂ + 3H₂O

Oxidation state of Cr is +6.

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a month ago

Chemistry Electrochemistry Chemistry

Number of moles of H⁺ required by 1 mole to oxidize oxalate ion to CO₂ is____.

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alok kumar singh

Contributor-Level 10

The balanced reaction is as follows

$2 M n O_{4}^{-} + 5 C_{2} O_{4}^{2 +} + 16 H^{+} \to 2 M n^{2 +} + 10 C O_{2} + 8 H_{2} O$

2 mole $M n O_{4}^{-}$ react with 16 mole H⁺

1 mole $M n O_{4}^{-}$ will react with 8 mole H⁺

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a month ago

Chemistry Class 12th

How many of the following vitamins are stored in Human Body?

A, B, C, D, E, K?

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alok kumar singh

Contributor-Level 10

A, D, E, K vitamins are fat soluble vitamins, are stored in liver and adipose tissue.

While vitamin B and vitamin C are water soluble and must be supplied regularly in diet (not stored) (except vitamin B₁₂)

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a month ago

Chemistry Thermodynamics Thermodynamics

A 1 mol ideal gas expands from 10 L to 100 L at 300 k, if above expansion takes place reversibly and isothermally then magnitude of work done is _____ (in KJ)

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