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Explanation:

Lets take fourth number as x

Then 1 / 3, 1 / 6, 1 / 9, x

a / b = c / d

1 / 3 ÷ 1 / 6 = 1/ 9 ÷ x

 1 / 3 : 1 / 6 :: 1 / 9 : x

1 / 3 × x = 1 / 6 × 1 / 9

x = 1 / 18

Ans: 1 / 18

The Correct answer is Indus.

Key Points

INDUS RIVER 

• The river Indus rises in Tibet, near Lake Mansarovar.
• Flowing west, it enters India in the Leh.
• Several tributaries, the Zaskar, the Nubra, the Shyok and the Hunza, join it in the Kashmir region.
• The Indus flows through Baltistan and Gilgit and emerges from the mountains at Attock.
• The Satluj, the Beas, the Ravi, the Chenab and the Jhelum join together to enter the Indus near Mithankot in Pakistan
• Finally, the Indus river drains into the Arabian Sea.
• Ancient Name: Sindhu.
• The Indus Water Treaty was signed between India and Pakistan on 19 September 1960.
• The total length of the Indus River is 3180 km.

Additional InformationGanges

• The Ganges River, also called Ganga, is a river located in northern India that flows toward the border with Bangladesh.
• It is the longest river in India and flows for around 1,569 miles (2,525km) from the Himalayan Mountains to the Bay of Bengal.
• The Ganga enters the plains at Haridwar.
• From here, it flows first to the south, then to the southeast and east before splitting into two distributaries, namely the Bhagirathi and the Hugli.
• The river has a length of 2,525 km.
• It is shared by Uttaranchal (110 km) and Uttar Pradesh (1,450 km), Bihar (445 km) and West Bengal (520 km), and Sahibganj town of Jharkhand is located on the bank of River Ganges.

Brahmaputra(2,880kms): 

• The Brahmaputra river rises from the Chemayundung glacier of the Kailash range near the Mansarovar Lake to the north of the Himalayas in the southwest Tibet region.
• The Brahmaputra river is an international river and its river basin is spread over four countries Bhutan, Tibet, India, and Bangladesh.
• Out of the total length of the Brahmaputra of 2,880 km, 1,625 km is in Tibet flowing as the Yarlung Tsangpo, 918 km is in India known as Siang, Dihang and Brahmaputra and the rest 337 km in Bangladesh has the name Jamuna till it merges into the Padma near Goalando.
• Lohit, Dibang, Kameng, Manas, and Teesta are the few important tributaries of the river Brahmaputra.

Godavari(1,450kms):

• The river Godavari is the largest of the peninsular rivers of India.
• It flows through the states of Maharashtra, Telangana, Andhra Pradesh, Chhattisgarh, and Odisha, ultimately emptying into the Bay of Bengal.
• The Godavari is the second largest river in India after the river Ganga.

Given:

A can complete the work in 10 days.

B can complete the work in 15 days.

Explanation:

 

If A worked for 4 days, then completed work will be 4 × 3 = 12

If B worked for 5 days, then completed work will be 5 × 2 = 10

Completed work by  A and B is 22.

Then, the remaining work will be 8.

If C took 8 days to complete the remaining work, then the efficiency of C will be 1.

Time to complete the whole work by A, B, and C will be,

= 30 ÷ (3 + 2 + 1)

= 30 ÷ 6

= 5

∴Time taken by A, B, and C to complete the work together is 5 days.

We know that: 

In an ordinary year, there are 365 days and on dividing 365 by 7,

• We get remainder = 1 so this extra one day is taken as odd day.

Similarly, in an leap year, there are 366 days and on dividing 366 by 7,

• we get remainder = 2 so this extra two days is taken as odd days.

Thus, the remainder, which we get after dividing the number of days by 7 is considered as odd days.

Given 27^th September in a year is Saturday.

• Number of remaining days in September = 3 days
• Number of days in October = 27 days.

∴ The total number of days = 3 + 27

∴ The total number of days = 30

⇒ The number of odd days from 27^th September in a year to 27^th October in the same year = 30 ÷ 7 = 2 odd days

∴ 27^th September in a year, it was Saturday + 2 odd days = Monday.

Hence, the correct answer is "Monday".

The Correct answer is 1987.

Key Points

• Sundarbans was declared a world heritage site in 1987 by UNESCO.
• The Sundarbans mangrove forest, one of the largest such forests in the world (140,000 ha), lies on the delta of the Ganges, Brahmaputra, and Meghna rivers on the Bay of Bengal.
• The site is intersected by a complex network of tidal waterways, mudflats, and small islands of salt-tolerant mangrove forests.

Additional Information 

• List of World Heritage Sites in West Bengal:

• It is a mangrove area in the delta formed by the confluence of the Ganges, Brahmaputra, and Meghna Rivers in the Bay of Bengal.
• It spans from the Hooghly River in India’s state of West Bengal to the Baleswar River in Bangladesh.
• Indian Sundarbans constitute over 60% of India’s total mangrove forest area.
• It is the 27^th Ramsar Site in India.
• It is the largest protected wetland in the country.

The correct answer is Pali.

Key Points

• The Tripitaka is the name of Buddhism's holiest book.
• It is also known as the Pali Canon, after the language in which it was originally written.
• It is written in Pali.
• It is an ancient Indian language that is remarkably similar to the language that the Buddha himself spoke.

Additional Information

• Buddhist writings are those exacting writings that are crucial for practising Buddhism.
• The primary Buddhist literature was initially transmitted orally by Buddhist monks.
• They were later written down and composed in a variety of Indo-Aryan languages.
• Those were compiled into several Buddhist ordinances.
• As Buddhism spread outside of India, these were later transformed into various languages.
• Such as Buddhist Chinese and Classical Tibetan.

Given:

500 men have provision for 24 days.

Explanation:

If 500 men have provision for 24 days,

Then, 1 person has the same provision for = 24 × 500 days

So 800 men will have the same provision for = ( 24 × 500 ) ÷ 800

= 15 days

∴ 800 men can have the provision for 15 days.

The correct answer is Table Tennis.

Key Points

• Indian table tennis player Mouma Das.
• She was raised in Kolkata, West Bengal, where she was born.
• At the Commonwealth Games, Das garnered numerous medals, including a gold in the Women's Team Competition in 2018.
• She received the Arjuna Award in 2013, India's second-highest sporting honour.
• Since the early 2000s, she has represented India in international gatherings.

Additional Information

• Das competed in the women's singles table tennis at the 2004 Olympic Games.
• In 2016, she competed in the event for the second time in the Olympics games.
• In the women's doubles competition at the 2017 World Table Tennis Championships, Das advanced to the quarterfinals.
• At the 2018 Commonwealth Games, the team that included Manika Batra also took home the silver medal.
• In 2021, she received the Padma Shri, the fourth-highest civilian honour in India.

The correct answer is Israel.

Key Points

• The Israeli business NSO Group created the Pegasus Spyware.
• Additionally, the malware is currently in the news for the purported surveillance of specific people.
• These individuals include people like journalists, legislators, businesspeople, and others.
• According to reports, spyware is being used by the Indian government to access the phones of these individuals.

Additional Information

• The main purpose of the spyware Pegasus is to break into various mobile devices.
• The spyware first came to light in 2016.
• In 2016, it attempted to hack into the phone of UAE human rights activist Ahmed Mansoor.
• Although the attempt was unsuccessful, people have been wary of spyware ever since.

Given:

The average of 3 numbers is 80.

The first number is 10 more than twice the second.

The second number is 10 less than thrice the third.

Explanation:

Let's take the first number as a

Second number as b

Third number as c

Then, a = 2b + 10 ---------1

b = 3c – 10

Then c = ( b + 10 )÷ 3 -------------2

The total of three numbers = 80 × 3

= 240

a + b + c = 240

2b + 10 + b + (b + 10)/ 3 = 240 (by combining 1 and 2)

6b + 30 + 3b + b + 10 = 720

10b = 680

b = 68

If b is 68, then  a = 2 × 68 + 10

= 146

If a + b + c = 240

146 + 68 + c = 240

C = 26

∴ The smallest number among the given three numbers is 26.