101

Which Deputy Nawab was assassinated by the Afghans?

A

Ram Narayan

B

Safdar Jung

C

Zainuddin Haibat Jung

D

Mir Qasim

E

Answer

C

Instruction

Explanation: Zainuddin Haibat Jung, appointed governor of Bihar by Alivardi Khan in 1740, fell victim to assassination in 1748. Following his demise, his son, Siraj-ud-Daulah, ascended to the position of Naib Nazim (Deputy Nawab) of Bihar.

102

Which festival of Bihar celebrates the bond between brothers and sisters?

A

Bhai Dooj

B

Sama-Chakeva

C

Makar Sankranti

D

Raksha Bandhan

E

Answer

B

Instruction

Explanation: Sama-Chakeva is celebrated in winter when birds migrate from the Himalayas to the plains. According to legend, Sama, daughter of Krishna, was cursed to become a bird, and her brother Chakeva brought her back to human form through self-penance, symbolizing the sister-brother bond like Rakhi festival.

103

What is the name of India's first all-electronic prepaid taxi service recently launched in Patna?

A

Patna e-Taxi

B

E-Manzil Secure Service

C

Bihar Electronic Cab

D

Secure Ride Scheme

E

Answer

B

Instruction

Explanation: Indian Railways launched the "e-manzil secure facility" at Patna Junction in January 2021. Passengers can easily book their prepaid cab or taxi at the booking point from Patna Junction to reach home comfortably. All the cabs are GPS fitted for added safety, particularly for women passengers, as the e-manzil center keeps a close watch on the movement of GPS fitted cabs.

104

What was the present Government Printing press located in Gulzarbagh originally?

A

Dutch Trading Post

B

Portuguese Settlement

C

French Trading Post

D

English Factory

E

Answer

D

Instruction

Explanation: The present Government Printing press located in Gulzarbagh was originally an English Factory. The British were the second Europeans to establish their factory in Patna, initially at Alamganj in 1620, but it was closed in 1621. However, the British East India Company revived the factory again in 1651. This factory has since been repurposed into a government printing press, situated in Gulzarbagh.

105

Where did Amar Singh establish his government during the 1857 movement?

A

Kaimur

B

Arrah

C

Rohtas

D

Sasaram

E

Answer

A

Instruction

Explanation: During the 1857 movement, Amar Singh set up his government in Rohtas. From there, he orchestrated guerrilla warfare against the British forces.

106

Which of the following technology initiatives were launched by the Prime Minister during the Diamond Jubilee celebration of the Supreme Court of India?

A

Digital Supreme Court Reports

B

Digital Courts 3.0

C

Analog Supreme Court Records

D

Manual Court Record Management

E

Answer

A

Instruction

Explanation: During the Diamond Jubilee celebration of the Supreme Court of India, the Prime Minister launched the Digital Supreme Court Reports initiative, which aims to provide Supreme Court judgments to citizens free of cost and in electronic format, enhancing accessibility and transparency in the legal system.

107

What is the main objective of NALSA (National Legal Services Authority) as outlined in the information provided?

A

To provide legal aid to all citizens regardless of their financial status.

B

To oversee the functioning of all courts and tribunals in India.

C

To promote legal awareness only among marginalized communities.

D

To provide compensation to lawyers for their pro bono work.

E

Answer

A

Instruction

Explanation: NALSA's primary objective is to ensure that impoverished and underprivileged individuals have access to justice by offering free legal services. It aims to bridge the justice gap and promote equality before the law by providing legal assistance to those in need, irrespective of their economic circumstances.

108

Which commission's report served as the basis for drafting the Maharashtra State Reservation for Socially and Educationally Backward Classes Bill, 2024?

A

Sarkaria Commission

B

Mandal Commission

C

Shukre Commission

D

Sachar Commission

E

Answer

A

Instruction

Explanation: The Maharashtra State Reservation for Socially and Educationally Backward Classes Bill, 2024, was formulated based on the recommendations of the Shukre Commission's report, which identified the Maratha community as a socially and educationally backward class, leading to the provision of 10% reservation for the Maratha community in government jobs and educational institutions.

109

What was the main recommendation made by the 22nd Law Commission of India (LCI) regarding the Epidemic Diseases Act, 1897?

A

To retain the Act without any amendments.

B

To abolish the Act completely and introduce a new legislation.

C

To amend the existing Act to address its limitations.

D

To delegate the management of epidemic diseases solely to the Central government.

E

Answer

C

Instruction

Explanation: The 22nd Law Commission of India recommended amending the Epidemic Diseases Act, 1897, or introducing a new comprehensive legislation to address the existing gaps in the law, particularly in light of the challenges highlighted during the COVID-19 pandemic.

110

Which organization released the Annual National e-Governance Service Delivery Assessment (NeSDA) Way Forward Report in 2023?

A

Ministry of Electronics and Information Technology (MeitY)

B

Department of Administrative Reforms and Public Grievances (DARPG)

C

National Informatics Centre (NIC)

D

Ministry of Home Affairs (MHA)

E

Answer

B

Instruction

Explanation: The NeSDA Way Forward Report was released by DARPG, highlighting initiatives aimed at enhancing e-Service delivery, such as the provision of e-Services by different states and union territories, improvements in mandatory e-services availability, and the adoption of unified service delivery portals by certain states like Jammu and Kashmir, Kerala, Assam, and Odisha.

111

What is the definition of "Pandaram lands" according to the Laccadive Minicoy and Amini Islands Land Revenue and Tenancy Regulation, 1965?

A

Land designated for agricultural purposes by local communities.

B

Land under the proprietary right of the government before the regulation came into effect.

C

Land reserved for religious or cultural activities.

D

Land acquired by individuals through customary laws of the islands.

E

Answer

B

Instruction

Explanation: The definition of "Pandaram lands" according to the Laccadive Minicoy and Amini Islands Land Revenue and Tenancy Regulation, 1965, refers to land under the proprietary right of the government before the regulation was enacted. These lands are subject to numbering by the Lakshadweep administration.

112

What is the primary reason behind the Union Ministry of Home Affairs' decision to scrap the Free Movement Regime (FMR) between India and Myanmar?

A

To facilitate smoother trade and business transactions across the border.

B

To strengthen diplomatic ties between India and Myanmar.

C

To address concerns regarding illegal immigration and demographic changes in the North-eastern states.

D

To promote cultural exchanges and strengthen ethnic ties between the two nations.

E

Answer

C

Instruction

Explanation: The decision to scrap the Free Movement Regime (FMR) between India and Myanmar is primarily driven by concerns regarding illegal immigration and demographic changes in the North-eastern states, particularly due to uncontrolled immigration of Chin people from Myanmar, leading to significant demographic shifts in the region.

113

What is the aim of the Defense Industrial Roadmap announced between India and France during the French President's visit to India?

A

To facilitate joint military exercises between the two nations.

B

To establish a joint strategic vision for cooperation in the Indian Ocean Region.

C

To enhance integration between the defense industrial sectors of both countries.

D

To promote cultural exchanges and cooperation in the field of arts and crafts.

E

Answer

C

Instruction

Explanation: The Defense Industrial Roadmap aims to deepen the integration between the defense industrial sectors of India and France and identify opportunities for co-design, co-development, and co-production, thereby strengthening defense cooperation between the two nations.

114

What is the purpose of Bilateral Investment Treaties (BITs)?

A

To regulate international trade between two countries.

B

To promote and protect foreign private investments in each other’s territories.

C

To establish quotas on imports and exports between two nations.

D

To facilitate diplomatic relations between countries through economic agreements.

E

Answer

B

Instruction

Explanation: Bilateral Investment Treaties (BITs) aim to promote and protect foreign private investments in each other’s territories.

115

What is the focus area of the South Asia Subregional Economic Cooperation (SASEC) initiative?

A

Promoting cultural exchange and tourism between South Asian countries.

B

Enhancing agricultural productivity and food security in the region.

C

Developing multi-modal transport networks and logistics facilities to increase intraregional trade.

D

Implementing joint military exercises and security cooperation among member nations.

E

Answer

C

Instruction

Explanation: The focus area of the SASEC initiative is to develop multi-modal transport networks and logistics facilities to increase intraregional trade and boost economic growth in the region.

116

Which of the following accurately describes the scope of the European Union's 'Mission Aspides'?

A

It focuses solely on protecting vessels in the Red Sea from Iran-backed Houthi attacks.

B

Its primary goal is to monitor maritime activities in the Strait of Hormuz.

C

It aims to safeguard vessels from possible attacks across various maritime regions, including the Red Sea, Gulf of Aden, and Arabian Sea.

D

Its area of operation is restricted to international waters in the Arabian Gulf.

E

Answer

C

Instruction

Explanation: The scope of 'Mission Aspides' includes Bab Al Mandeb and the Strait of Hormuz, as well as international waters in the Red Sea, Gulf of Aden, Arabian Sea, Gulf of Oman, and Arabian Gulf. Therefore, option C accurately describes the scope of the mission, indicating its broader goal of safeguarding vessels across multiple maritime regions.

117

Which of the following statements accurately describes the "Pradhan Mantri Matsya Kisan Samridhi Sah-Yojana (PM-MKSSY)"?

A

The scheme aims to bring about a Blue Revolution through sustainable development of the fisheries sector.

B

PM-MKSSY is entirely funded by the Central government, with no contribution from the private sector.

C

The scheme targets to increase fish production to 22 million metric tons by 2024-25 from 13.75 million metric tons in 2018-19.

D

PM-MKSSY focuses solely on facilitating the adoption of aquaculture insurance.

E

Answer

C

Instruction

Explanation: The given statement accurately reflects one of the objectives of PM-MKSSY, which is to increase fish production to 22 million metric tons by 2024-25 from 13.75 million metric tons in 2018-19.

118

Who developed the MQ-9B Sky Guardian drones?

A

Boeing

B

Lockheed Martin

C

General Atomics Aeronautical Systems, Inc. (GA-ASI)

D

Northrop Grumman

E

Answer

C

Instruction

Explanation: The MQ-9B Sky Guardian drones were developed by General Atomics Aeronautical Systems, Inc. (GA-ASI). They are a product of GA-ASI's expertise and innovation in the field of unmanned aerial systems.

119

Between which countries is the SADA TANSEEQ military exercise conducted?

A

India and Saudi Arabia

B

India and Maldives

C

India, Maldives, and Sri Lanka

D

NATO member countries

E

Answer

A

Instruction

Explanation: The SADA TANSEEQ military exercise is conducted between India and Saudi Arabia. It's a joint exercise aimed at enhancing military cooperation and interoperability between the two nations.

120

Which country hosted the Fourteenth Meeting of the Conference of the Parties to the Convention on the Conservation of Migratory Species of Wild Animals (CMS COP 14)?

A

India

B

Uzbekistan

C

Sri Lanka

D

Bangladesh

E

Answer

B

Instruction

Explanation: The Fourteenth Meeting of the Conference of the Parties to the Convention on the Conservation of Migratory Species of Wild Animals (CMS COP 14) was held in Samarkand, Uzbekistan. This meeting serves as the principal decision-making body of the Convention and meets once every three years to set the budget, priorities, and discuss various issues related to the conservation of migratory species.

121

Which key faunal species is NOT found in Gupteswar Forest?

A

Mugger crocodile

B

Common Hill myna

C

Indian Elephant

D

Kanger valley rock gecko

E

Answer

C

Instruction

Explanation: The key faunal species in Gupteswar Forest include the Mugger crocodile, Kanger valley rock gecko, Common Hill myna, White-bellied Woodpecker, and Banded Bay Cuckoo, but the Indian Elephant is not mentioned as a key species in this forest.

122

Which institution is primarily responsible for advising the State Government on the selection and management of Biodiversity-Heritage Sites (BHS)?

A

National Green Tribunal

B

Ministry of Environment, Forest and Climate Change (MoEFCC)

C

National Biodiversity Authority (NBA)

D

Central Pollution Control Board (CPCB)

E

Answer

C

Instruction

Explanation: The National Biodiversity Authority (NBA) advises the State Government in the selection and management of Biodiversity-Heritage Sites under Section 37 of the Biological Diversity Act, 2002.

123

Which of the following is NOT an objective of Biodiversity-Heritage Sites (BHS)?

A

To strengthen biodiversity conservation in traditionally managed areas

B

To foster harmony between nature, culture, society, and technology

C

To enhance the quality of life of the local communities

D

To restrict all human activities and access to the site

E

Answer

D

Instruction

Explanation: The objectives of BHS include strengthening biodiversity conservation, fostering harmony between nature, culture, society, and technology, and enhancing the quality of life of the local communities. There is no objective to restrict all human activities and access to the site; rather, it focuses on sustainable management and conservation.

124

What is one of the impacts of black carbon when deposited on ice or snowfields?

A

Increasing albedo and slowing melting rates

B

Reducing albedo and accelerating melting rates

C

Causing no significant impact

D

Reducing atmospheric temperature

E

Answer

B

Instruction

Explanation: When black carbon is deposited on ice or snowfields, it reduces the albedo of these surfaces and leads to accelerated melting rates and atmospheric warming.

125

Where did the Climate and Clean Air Coalition's (CCAC) annual meeting, the Climate and Clean Air Conference, recently take place?

A

New York, USA

B

Paris, France

C

Nairobi, Kenya

D

Tokyo, Japan

E

Answer

C

Instruction

Explanation: The Climate and Clean Air Coalition's (CCAC) annual meeting, the Climate and Clean Air Conference, recently took place in Nairobi, Kenya.

126

Which sectoral solution is suggested for reducing methane emissions from livestock?

A

Banning all livestock farming

B

Promoting farm-scale anaerobic digestion

C

Using more chemical fertilizers

D

Increasing water usage in farms

E

Answer

B

Instruction

Explanation: To control methane emissions from livestock, it is suggested to promote farm-scale anaerobic digestion.

127

Which report was launched by UNEP and CCAC at the conference?

A

‘Global Renewable Energy Status Report’

B

‘Used Heavy Duty Vehicles (HDVs) and the Environment’

C

‘Water Pollution Control Report’

D

‘Global Deforestation Report’

E

Answer

B

Instruction

Explanation: The report ‘Used Heavy Duty Vehicles (HDVs) and the Environment’ was launched by UNEP and CCAC at the conference.

128

How do short-lived climate pollutants (SLCPs) affect agriculture?

A

They improve soil fertility

B

They enhance photosynthesis

C

They harm vegetation by damaging leaves and reducing crop yields

D

They increase water availability

E

Answer

C

Instruction

Explanation: SLCPs, such as tropospheric ozone, harm vegetation by damaging leaves, reducing photosynthesis, impairing plant reproduction and growth, reducing plants’ uptake of carbon dioxide (CO2), and decreasing crop yields.

129

What is the subsidy structure for residential rooftop solar (RTS) under the PM Surya Ghar Muft Bijli Yojana?

A

No subsidy provided

B

Subsidy based on the size of the household

C

Subsidy ranging from Rs 30,000 to Rs 78,000 based on the capacity of the solar plant

D

Fixed subsidy of Rs 100,000

E

Answer

C

Instruction

Explanation: The subsidy structure for residential rooftop solar (RTS) under the PM Surya Ghar Muft Bijli Yojana ranges from Rs 30,000 to Rs 78,000 based on the capacity of the solar plant.

130

During the winter of 2022–23, which region of India experienced poor air quality due to the retreating phase of the triple-dip La-Niña?

A

Peninsular India

B

Northern India

C

Eastern India

D

Western India

E

Answer

A

Instruction

Explanation: During the winter of 2022–23, peninsular India experienced poor air quality due to the dominance of higher northerly wind in the transport level, trapping pollutants and notably increasing PM2.5 concentration.

131

What is the Gross Enrolment Ratio (GER) according to the All-India Survey on Higher Education (AISHE)?

A

A measure of the quality of education in higher education institutions

B

The ratio of foreign students to domestic students in higher education institutions

C

The percentage of female students enrolled in higher education institutions

D

The ratio of the total enrollment in higher education to the eligible population in the age group 18-23 years

E

Answer

C

Instruction

Explanation: The Gross Enrolment Ratio (GER) is the ratio of the total enrollment in higher education to the eligible population in the age group 18-23 years. It is a key indicator of the level of participation in higher education in a country.

132

Which organization recently announced the establishment of the 'Alliance for Global Good- Gender Equity, and Equality' at the World Economic Forum (WEF) Annual Meeting in Davos, Switzerland?

A

Confederation of Indian Industry (CII) Centre for Women Leadership

B

Bill & Melinda Gates Foundation

C

World Economic Forum

D

Invest India

E

Answer

A

Instruction

Explanation: The 'Alliance for Global Good- Gender Equity, and Equality' was announced at the World Economic Forum (WEF) Annual Meeting in Davos, Switzerland, and it is anchored by the Confederation of Indian Industry (CII) Centre for Women Leadership.

133

Which government recently announced the Digital Detox Initiative in collaboration with All India Game Developers Forum (AIGDF) and NIMHANS?

A

Tamil Nadu Government

B

Maharashtra Government

C

Karnataka Government

D

Kerala Government

E

Answer

C

Instruction

Explanation: The Karnataka Government announced the Digital Detox Initiative in collaboration with All India Game Developers Forum (AIGDF) and NIMHANS. This initiative aims to address mental health challenges and reduce overdependence on technology by encouraging responsible gaming practices.

134

Which company developed the E-Ink display technology?

A

Amazon

B

MIT

C

Samsung

D

Apple

E

Answer

B

Instruction

Explanation: The E-Ink display technology was originally developed in the 1990s at MIT (Massachusetts Institute of Technology) and is now owned by E Ink Corporation.

135

What is the primary focus of India's nomination of Maratha Military Landscapes for recognition as a UNESCO World Heritage Site?

A

Its historical significance as the birthplace of several Maratha rulers

B

Its role in facilitating trade and commerce during ancient times

C

Its representation of extraordinary fortification and military systems envisioned by the Maratha rulers

D

Its architectural brilliance and influence on modern Indian architecture

E

Answer

C

Instruction

Explanation: India's nomination of Maratha Military Landscapes for recognition as a UNESCO World Heritage Site primarily focuses on its representation of extraordinary fortification and military systems envisioned by the Maratha rulers.

136

What is the primary objective of the "Bihar Laghu Udyami Yojana" (Bihar small entrepreneur scheme) recently approved by the Bihar government?

A

To provide financial assistance to students from economically backward classes for higher education

B

To provide financial aid to farmers for agricultural modernization and equipment purchase

C

To create self-employment opportunities for over 9.4 million poor families in Bihar

D

To improve healthcare infrastructure and facilities in rural areas of Bihar

E

Answer

C

Instruction

Explanation: The primary objective of the "Bihar Laghu Udyami Yojana" is to create self-employment opportunities for over 9.4 million poor families in Bihar by providing financial assistance to set up and run small industrial or processing units.

137

Who will be posthumously awarded the Bharat Ratna, India's highest civilian honour?

A

Karpoori Thakur

B

Indira Gandhi

C

Atal Bihari Vajpayee

D

Satyendra Nath Bose

E

Answer

A

Instruction

Explanation: Late former Bihar Chief Minister Karpoori Thakur will be posthumously awarded the Bharat Ratna, India’s highest civilian honour, in recognition of his enduring efforts as a champion for the marginalised and his unwavering commitment to uplift the downtrodden.

138

What is the objective of the real-time apportionment study recently conducted by the Bihar government in Muzaffarpur and Gaya?

A

To identify sources of water pollution in the rivers

B

To assess the quality of soil in urban areas

C

To determine the seasonal mass concentration level of PM2.5 and PM10 in ambient air

D

To study the biodiversity of forests in the region

E

Answer

C

Instruction

Explanation: The objective of the real-time apportionment study conducted by the Bihar government in Muzaffarpur and Gaya is to determine the seasonal mass concentration level of PM2.5 and PM10 in ambient air, which are minute particles harmful to health, and identify factors responsible for air pollution in the area.

139

What is the main objective of Krishi Vigyan Kendras (KVKs) in India?

A

To regulate agricultural markets and commodity prices

B

To conduct research on climate change and its impact on agriculture

C

To facilitate technology assessment, demonstration, and capacity development in agriculture

D

To provide financial assistance to farmers for purchasing agricultural land

E

Answer

C

Instruction

Explanation: The primary objective of Krishi Vigyan Kendras (KVKs) in India is to facilitate technology assessment, demonstration, and capacity development in agriculture, thereby helping farmers adopt improved agricultural practices.

140

What percentage of the Bihar government's budget was allocated to the education department in the recently presented budget?

A

13.84%

B

22.20%

C

8.19%

D

7.41%

E

Answer

B

Instruction

Explanation: In the recently presented budget by the Bihar government, 22.20% of the total budget was allocated to the education department.

141

What is the next number in the series? 2, 6, 12, 20, ___

A

30

B

24

C

28

D

32

E

Answer

C

Instruction

Explanation: The pattern in the series is an increment of consecutive even numbers starting from 4:

2+4=62 + 4 = 62+4=6

6+6=126 + 6 = 126+6=12

12+8=2012 + 8 = 2012+8=20

20+10=3020 + 10 = 3020+10=30

Thus, the next number is 20+8=2820 + 8 = 2820+8=28.

142

If the ratio of the ages of two friends is 4:5 and the sum of their ages is 45 years, what is the age of the younger friend?

A

20 years

B

18 years

C

24 years

D

22 years

E

Answer

A

Instruction

Explanation: Let the ages of the friends be 4x and 5x. Given, 4x+5x=454x + 5x = 454x+5x=45 9x=459x = 459x=45 x=5x = 5x=5

Therefore, the age of the younger friend (4x) = 4×5=204 \times 5 = 204×5=20 years.

143

If a pipe can fill a tank in 4 hours, and another pipe can empty the same tank in 6 hours, how long will it take to fill the tank if both pipes are opened simultaneously?

A

8 hours

B

10 hours

C

12 years

D

24 years

E

Answer

C

Instruction

Explanation: The rate at which the first pipe fills the tank is 14\frac{1}{4}41​ tank/hour. The rate at which the second pipe empties the tank is 16\frac{1}{6}61​ tank/hour.

Net rate of filling the tank = 14−16=3−212=112\frac{1}{4} - \frac{1}{6} = \frac{3-2}{12} = \frac{1}{12}41​−61​=123−2​=121​ tank/hour.

Thus, it will take 12 hours to fill the tank when both pipes are opened simultaneously.

144

If the following numbers are arranged in descending order, which will be the middle digit of the middle number? 415, 213, 546, 783, 326

A

5

B

1

C

6

D

4

E

Answer

D

Instruction

Explanation: First, arrange the numbers in descending order: 783, 546, 415, 326, 213.

The middle number in this sequence is 415, and the middle digit of 415 is 4.

145

A clock shows the time as 3:30 PM. If the minute hand gains 2 minutes every hour, what will be the correct time shown by the clock after 6 hours?

A

9:48 PM

B

9:30 PM

C

9:12 PM

D

9:18 PM

E

Answer

D

Instruction

Explanation: The clock currently shows 3:30 PM. After 6 hours, it should show 9:30 PM without any gain. However, the minute hand gains 2 minutes every hour. Therefore, over 6 hours, it will gain 6×2=126 \times 2 = 126×2=12 minutes.

So, the incorrect time shown by the clock will be 9:30 PM + 12 minutes = 9:42 PM.

Since the clock shows an incorrect gain of 12 minutes, the actual correct time would be 9:30 PM - 12 minutes = 9:18 PM.

146

In a class of 60 students, 40% are girls and the rest are boys. If 25% of the girls and 20% of the boys play basketball, how many students in the class play basketball?

A

13

B

24

C

18

D

15

E

Answer

A

Instruction

Explanation: To solve this problem, we first find the number of girls and boys in the class:

Number of girls =40100×60=24= \frac{40}{100} \times 60 = 24=10040​×60=24
Number of boys =60−24=36= 60 - 24 = 36=60−24=36

Next, we calculate how many of them play basketball:

Number of girls playing basketball =25100×24=6= \frac{25}{100} \times 24 = 6=10025​×24=6
Number of boys playing basketball =20100×36=7.2= \frac{20}{100} \times 36 = 7.2=10020​×36=7.2 (approximated to 7)

Total number of students playing basketball =6+7=13= 6 + 7 = 13=6+7=13

147

In a family, there are six members A, B, C, D, E, and F. A and B are a married couple. C is the son of A but not of B. D is the daughter of B. E is the brother of C. F is the father of D. What is the relationship between A and F?

A

Father-Daughter

B

Brother-Sister

C

Son-Father

D

Husband-Wife

E

Answer

D

Instruction

Explanation: Given the family relations:

A and B are married.

A is the mother of C, but B is not C's father.

D is the daughter of B, so D's father is B.

E is the brother of C.

F is the father of D.

Since A and B are married and D's father is B, A must be the wife of D's father, which is B. Therefore, A and F are husband and wife.

148

If A=20%A = 20\%A=20% of 80 and B=80%B = 80\%B=80% of 20, then which of the following is true?

A

A is smaller than B.

B

A is greater than B.

C

Relationship between A and B cannot be determined.

D

If 80 is smaller than 20, then A is greater than B.

E

Answer

C

Instruction

Explanation: Given: A=20100×80=16A = \frac{20}{100} \times 80 = 16A=10020​×80=16
B=80100×20=16B = \frac{80}{100} \times 20 = 16B=10080​×20=16

Since A=BA = BA=B, it's not possible to determine whether A is smaller or greater than B

149

From a group of 9 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

A

672

B

810

C

735

D

756

E

Answer

A

Instruction

150

In how many ways can the letters of the word "PERMUTE" be arranged such that the vowels always come together?

A

5040

B

1440

C

720

D

2880

E

Answer

B

Instruction

Explanation: To arrange the letters of the word "PERMUTE" such that the vowels (E and U) always come together, we can consider the vowels as a single unit. So, we have 6 units to arrange (the consonants and the vowel unit).

Within the vowel unit, there are 2 vowels, so they can be arranged among themselves in 2!2!2! ways.

So, the total number of arrangements = 6!6!6! (arrangements of the units) multiplied by 2!2!2! (arrangements of the vowels within the unit).

=6!×2!=720×2=1440= 6! \times 2! = 720 \times 2 = 1440=6!×2!=720×2=1440