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Given : 

Sachin's income is 25% more than Dileep's.

Calculations :

Let the income of Dileep be 100x 

Sachins's income = 100x + 25% of 100x

⇒ 125x 

Now, 

Required percent = (Sachin's income - Dileep's income)/(Sachin's income) × 100 

⇒ (125x - 100x)/(125x) × 100 

⇒ (25x/125x) × 100

⇒ 20% 

∴ Correct answer is option 2.

The least possible Venn diagram is,

Conclusion I: No cat is a cow → False (This is possible but not definite)

Conclusion II: Some cows are monkeys → False (This is definitely false)

Hence, “neither conclusion I nor conclusion II” follows.

The correct answer is Parbati.

Key Points

• Tributaries like Tawa, Goi, and Barna flow into the Narmada River.
• However, the Parbati River is an independent river flowing in northern Madhya Pradesh.

Given 

The average age of Sonu, Hari and Govind = 30 years

Formula Used 

Average = Sum of observation/No. of observation

Calculation

⇒ Sum of age = 30 × 3 = 90 

⇒ let the age of Sonu, Hari and Govind be 4x, 5x and 6x 

⇒ 4x + 5x + 6x = 90 

⇒ 15x = 90 

⇒ x = 6 

⇒ Difference between the ages of Sonu and Govind = 6x - 4x 

⇒ 2x = 2 × 6 = 12 years 

∴  the difference between the ages of Sonu and Govind is 12 years

Making the family tree using following symbols:

On decoding the given information:

Making the final family tree according to the given expression 'I + N $ R – U # S + H':

As we can see, R is maternal grandfather of H.

Hence, the correct answer is "Maternal Grandfather".

The correct answer is Ujjain.

Key Points

• The Kumbh Mela held in Ujjain is referred to as 'Simhastha'.
• Simhastha Kumbh Mela is celebrated in Ujjain every 12 years when Jupiter is in the zodiac sign of Leo (Simha).
• Ujjain is one of the four locations where Kumbh Mela is held, the others being Prayagraj, Haridwar, and Nashik.
• The holy river associated with Ujjain's Kumbh Mela is the Shipra River, which is considered sacred by Hindus.
• The Simhastha Kumbh Mela attracts millions of pilgrims who gather to take a sacred dip in the Shipra River and participate in religious rituals.

Additional Information

• Kumbh Mela
• The Kumbh Mela is one of the largest religious gatherings in the world and is celebrated at four locations: Haridwar, Prayagraj, Ujjain, and Nashik.
• It is held every 12 years at each location, based on the alignment of celestial bodies.
• The festival is deeply rooted in Hindu mythology, symbolizing spiritual cleansing and salvation.
• Millions of devotees gather to take a holy dip in the rivers considered sacred at respective locations.
• Simhastha Kumbh Mela
• The term 'Simhastha' is derived from the zodiac sign Simha (Leo), as the event is linked to celestial movements.
• Ujjain's Simhastha holds cultural and spiritual significance, as Ujjain is considered a holy city in Hinduism.
• It is associated with the Shipra River and has a unique identity among the Kumbh Mela events.
• Prominent rituals include bathing in the river, religious discourses, and cultural performances.
• Shipra River
• The Shipra River flows through Ujjain and is regarded as sacred in Hinduism.
• Mythologically, it is believed to have originated from the churning of the ocean (Samudra Manthan).
• Bathing in the Shipra River during Simhastha is believed to cleanse sins and lead to spiritual liberation.
• Astrological Significance
• The timing of the Kumbh Mela is determined by the positions of Jupiter, Sun, and Moon in specific zodiac signs.
• Simhastha in Ujjain occurs when Jupiter is in the zodiac sign of Leo and the Sun is in Aries.
• Astrological alignments are considered auspicious for spiritual practices and rituals.

Given:

Ratio of income of Amar & Komal is 5 : 4

Ratio of expenditure of Amar & Komal is 2 : 1

They both saves 6000 Rupees

Calculations:

Let the income of Amar & Komal be 5x & 4x

Let the expenditure of Amar and Komal be 2y & y.

We know that

Savings = Income - Expenditure

So

⇒ 5x – 2y = 6000      ----(1)  (saving of Amar)

⇒ 4x – y = 6000       ----(2) ( saving of Komal)

Solving both equations, we get

⇒ x= 2000 & y = 2000

Amar’s income = 5x = 10000

∴ The correct choice is option 4.

By using the symbols in the table given below, we can draw the following family tree:

Z @ R & T # H @ K → Z is wife of R, R is brother of T, T is daughter of H, H is wife of K.

Clearly, K is father-in-law of Z.

Hence, ‘Father-in-law’ is the correct answer.

The correct answer is Department of Higher Education.

Key Points

• The Vikramaditya Yojana is a scheme launched by the Madhya Pradesh government under the Department of Higher Education.
• This scheme provides financial assistance to students belonging to economically weaker sections for pursuing higher education.
• Eligibility criteria include students from Scheduled Castes (SC) and General categories with a family income below a certain threshold.
• Under this scheme, the government covers tuition fees, examination fees, and other educational expenses for eligible students.
• The scheme aims to promote inclusive education and reduce economic barriers faced by underprivileged students in Madhya Pradesh.

Additional Information

• Scholarship Schemes in India
• India has various scholarship schemes to support students from marginalized communities, including SC/ST, OBC, and economically weaker sections.
• Some central government schemes include Post-Matric Scholarships, National Means-Cum-Merit Scholarship, and Central Sector Scheme of Scholarships for College and University Students.
• State governments also implement region-specific schemes to cater to local educational needs.
• Higher Education in Madhya Pradesh
• Madhya Pradesh has several universities and institutions that focus on higher education, including Devi Ahilya Vishwavidyalaya and Rani Durgavati Vishwavidyalaya.
• The state government is actively working to improve access to education through various initiatives like the Vikramaditya Yojana.
• Role of the Department of Higher Education
• The Department of Higher Education in Madhya Pradesh oversees the development of universities, colleges, and educational schemes in the state.
• Its primary focus is to enhance accessibility, equity, and quality in higher education.
• Government Efforts for Education
• The Indian government has allocated significant resources to ensure education for all through initiatives like Right to Education Act and Samagra Shiksha Abhiyan.
• State-level programs complement these efforts to address regional disparities in education.

Given:

Three persons namely Govind, Rahim, and Sudhir can complete the work in 8, 12, and 15 days, respectively. 

Concept used:

Total work = Work done per day × Total time taken

Calculation:

LCM (8, 12, 15) = 120

Let the total work be 120 units.

Efficiencies,

Govind = 120/8 = 15 units a day

Rahim = 120/12 = 10 units a day

Sudhir = 120/15 = 8 units a day

Now, the time taken to complete the work when they work together

⇒ 120/(15 + 10 + 8)

⇒ 40/11 days

∴  The time taken to complete the work when they work together is 40/11 days.