Question Discussion & Solution

The logic is:

Starting from 3 in the clockwise direction:

3 × 2 - 1 = 5

5 × 2 - 2 = 8 

8 × 2 - 3 = 13

13 × 2 - 4 = 22

Similarly, 

22 × 2 - 5 = 44 - 5 = 39

Hence, 39 is the correct answer. 

The correct answer is Yamuna River System.

Key Points

• The Betwa is a tributary of the Yamuna River.
• It originates in the Vindhya Range in Madhya Pradesh and flows through Orchha (Madhya Pradesh) before reaching Uttar Pradesh.
• It joins the Yamuna River near Hamirpur after traveling 590 kilometers.
• The Betwa River has two major tributaries: the Halali and Dhasan Rivers.
• The Yamuna river is a major tributary of the river Ganges, it originates from the Yamunotri glacier near the Banderpoonch peaks of the lower Himalayas.
• It travels a total length of 1,376 kilometers and merges with the Ganges at Triveni Sangam, Prayagraj (Allahabad).
• Tons, Hindon, Ken, Betwa, Chambal rivers are some of its tributaries.

Additional Information

• Ganga River System:
  • The Ganga (the Padma in Bangladesh) forms by the confluence of Alakhnanda and Bhagirathi at Devprayag.
  • Bhagirathi originates from Gangotri glacier and Alakhnanda originates from Satopanth glacier.
  • The total length of the Ganga river is 2525 km.
  • Some of the tributaries of Ganga are the Yamuna, the Ramganga, the Gomati, the Ghaghara, the Gandak, the Kosi and the Mahanada.
• Narmada:
  • The Narmada is the largest west-flowing river in India.
  • It rises near the Amarkantak range of mountains in Madhya Pradesh.
  • It is the fifth-largest river in the country.
  • The total length of the river is 1312 kilometers.
  • The Sher, the Dudhi, the Tawa (biggest tributary), the Ganjal, the Hiran, the Barna, the Choral, and the Lohar are some of the tributaries of the Narmada river.
• Tapti:
  • Tapti River is one of the major rivers of peninsular India.
  • Its total length is 724 km.
  • The Tapti river source of origin lies in Multai, in the Betul district of Madhya Pradesh.
  • Vaki, Gomai, Arunavati, Aner, Panjhra, Bori, and Girna are some of the tributaries.

The correct answer is Mewar.

• The king and chieftain of Mewar gave Khurram the title of Shah Jahan in Badal Mahal on his arrival from Surat to Udaipur.

Key Points

Some important information about Khurram as follows- 

Additional Information

• Some of the battles between Mughals and Rajputs:
  • Siege of Bayana​
    • Rana Sanga led the Rajput army sieged the fortress of Bayana held by Nizam Khan in Feb 1527. 
    • Babur sent a detachment under Mohammad Sultan Mirza to relieve the fortress, the Mughal contingent failed to take the fort of Bayana.
  • Battle of Khanwa
    • Rajput Confederacy under Rana Sanga was defeated by Babur in 1527.
    • This was the largest battle ever that happened between the Mughals and Rajputs involving a total of more than 150,000 soldiers.
  • Siege of Chittorgarh
    • Akbar led the Mughal army besieged the famed Chittorgarh fort in 1567, which was then under command of Jaimal Rathore and Patta Singh Sisodia, commanders of Udai Singh.
    • The siege went on for 4 months and finally after the death of Jaimal, the fortress walls breached, that ensued Mughals emerged victoriously.
  • Siege of Ranthambore (1568)
    • Rao Surjan Hada had to surrender Ranthambore Fort to Akbar after later successfully put the fort under siege.
  • Battle of Dewair
    • The first battle of Dewair took place in 1582 between armies of Maharana Pratap and Mughal Garrison of dewair. Pratap's army defeated the Mughal army in this battle.
    • Maharana Amar Singh defended against the Mughal army led by Prince Parviz and Asaf Khan in 1606 resulted in stalemate. 

Explanation:

• Sound is a longitudinal mechanical wave that propagates by making compressions (high pressure) and rarefactions(low pressure) in its propagating medium. 

• The amplitude of wavelength is the maximum distance the particle oscillating moves from the mean position.
• The frequency of the wave is the number of times one complete cycle of compressions 

• More the frequency more is the pitch of the sound, the sound is having more shrillness. 
• The more the amplitude the more is the loudness of the sound. 

So, loudness depends upon the amplitude.

Important Points 

• The Pitch of the sound depends upon frequency. 
• Mathematically, loudness is directly proportional to the square of the amplitude. 

L ∝ A2

Clearly, out of every 11 persons there is 1 teacher

So, Number of teachers = 550 ÷ 11 = 50