11. If three times of the first of the three consecutive odd integers is 3

If three times of the first of the three consecutive odd integers is 3 more than twice the third integer, what is the third integer ?

15
11
9
5
This question was previously asked in
UPSC CAPF – 2014
Let the three consecutive odd integers be represented as \(x\), \(x+2\), and \(x+4\), where \(x\) is the first odd integer. The problem states that three times the first integer is 3 more than twice the third integer. We can write this as an equation: \(3x = 2(x+4) + 3\).
Solving the equation:
\(3x = 2x + 8 + 3\)
\(3x = 2x + 11\)
\(3x – 2x = 11\)
\(x = 11\)
The first integer is 11. The three consecutive odd integers are 11, 13, and 15. The third integer is 15.
Consecutive odd integers differ by 2. Setting up the algebraic equation correctly based on the given relationship is crucial to finding the value of the first integer.
We can verify the answer: Three times the first integer (11) is 3 * 11 = 33. Twice the third integer (15) is 2 * 15 = 30. 30 + 3 = 33. The condition is satisfied.

12. Which of the following countries has successfully test fired Hatf IX (

Which of the following countries has successfully test fired Hatf IX (Nasr) short range surface to surface multitube ballistic missile in November 2013 ?

Pakistan
China
Iraq
Iran
This question was previously asked in
UPSC CAPF – 2014
The Hatf IX (Nasr) is a short-range surface-to-surface ballistic missile developed by Pakistan. Pakistan successfully test-fired this missile in November 2013, as part of its defence capabilities and deterrence posture.
The Hatf series of missiles are integral to Pakistan’s missile program. Hatf IX (Nasr) is specifically known for its multi-tube launcher system and is designed as a low-yield tactical nuclear weapon system.
While other countries listed have their own missile programs, the Hatf series is exclusively associated with Pakistan. News reports from November 2013 widely covered Pakistan’s test of the Nasr missile.

13. Which one among the following statements correctly defines the term Bi

Which one among the following statements correctly defines the term Bio-fortification ?

Enrichment of the nutrient quality of the soil using biological agents
Breeding crops to increase their nutritional values
Increase of organo-metallic compounds in the organism through energy flow in an ecosystem
Adoption of genetic variable plants for breeding of high yielding varieties
This question was previously asked in
UPSC CAPF – 2014
Bio-fortification is the process of increasing the density of vitamins and minerals in a crop through either conventional plant breeding, transgenic techniques, or agronomic practices. The goal is to improve human nutrition by making staple foods more nutritious.
The core concept of bio-fortification is improving the *nutritional content* of the crop itself, not just the soil it grows in or its yield.
Option A describes aspects related to soil fertility or bio-fertilization. Option C describes bio-magnification or bio-accumulation, where substances concentrate in organisms up the food chain. Option D describes general plant breeding for yield, which is distinct from specifically targeting nutritional enhancement.

14. Which one among the following is indicated by the following figure ? (

Which one among the following is indicated by the following figure ?
(Figure shows a square divided into four smaller rectangles. Top left is a x a, top right is a x b, bottom left is b x a, bottom right is b x b)

[amp_mcq option1=”a + ab + ab + b² = a/(1-b) for b < 1" option2="a³ > b³ ⇒ a > b” option3=”(a + b)² = a² + 2ab + b²” option4=”a > b ⇒ -a < -b" correct="option3"]

This question was previously asked in
UPSC CAPF – 2014
The figure shows a large square with side length (a + b). The area of this large square is (a + b) * (a + b) = (a + b)². This square is divided into four smaller rectangles with areas a*a (a²), a*b (ab), b*a (ab), and b*b (b²). The total area of the large square is also the sum of the areas of the four smaller rectangles: a² + ab + ab + b² = a² + 2ab + b². Therefore, the figure visually represents the algebraic identity (a + b)² = a² + 2ab + b².
The figure provides a geometric proof or illustration of the expansion of the binomial (a+b)².
Option A is an unrelated equation. Option B and D are correct mathematical implications but are not demonstrated by the geometric figure shown. The figure specifically relates areas derived from sides ‘a’ and ‘b’ combined as (a+b).

15. Which one among the following is successfully tested in Germany recent

Which one among the following is successfully tested in Germany recently as world’s first green helicopter which is environment friendly and emission free ?

Volocopter
Sikorsky
Eurocopter
Bell
This question was previously asked in
UPSC CAPF – 2014
In late 2013, the German company E-volo successfully conducted manned test flights of its prototype electric multirotor aircraft, the Volocopter VC200. This aircraft was widely reported at the time as being the world’s first certified electric multirotor (often referred to in popular media as an electric helicopter, though technically a multirotor VTOL aircraft) and was highlighted for being emission-free and environmentally friendly.
The Volocopter is an electric vertical take-off and landing (eVTOL) aircraft, representing a new class of environmentally friendly rotorcraft as opposed to traditional fuel-powered helicopters.
Sikorsky, Eurocopter (now Airbus Helicopters), and Bell are established manufacturers of traditional helicopters powered by jet engines, although they are also developing hybrid and electric models more recently. The question specifically refers to a successful test of a “first green helicopter” in Germany around Dec 2013, which aligns with the Volocopter’s milestone flight.

16. According to the principle of energy conservation, when a piston in an

According to the principle of energy conservation, when a piston in an automobile engine compresses the gas in a cylinder, which of the following must occur ?

Kinetic energy of gas must increase
The gas must undergo a change of state
The gas must undergo a chemical change
None of the above
This question was previously asked in
UPSC CAPF – 2014
When a piston compresses the gas in a cylinder, work is done on the gas. According to the principle of energy conservation (specifically the First Law of Thermodynamics), this work done on the gas increases its internal energy. For an ideal gas, internal energy is directly related to its temperature, and temperature is a measure of the average kinetic energy of the gas molecules. Therefore, the kinetic energy of the gas must increase.
Work done *on* a system (like compressing gas) increases its internal energy. Increased internal energy in a gas manifests as increased temperature and thus increased average kinetic energy of the molecules.
Compression can lead to a change of state or chemical change under specific conditions (e.g., if the pressure and temperature exceed certain thresholds, or if the compression causes ignition in a fuel mixture). However, an increase in internal energy and kinetic energy is a direct and necessary consequence of work being done *on* the gas during compression, based purely on the principle of energy conservation.

17. In December 2013, TTEX-2013 (Trilateral Tabletop Maritime Security Exe

In December 2013, TTEX-2013 (Trilateral Tabletop Maritime Security Exercises) was conducted between :

India, Maldives and Bangladesh
India, Sri Lanka and China
India, Sri Lanka and Maldives
Sri Lanka, Pakistan and Bangladesh
This question was previously asked in
UPSC CAPF – 2014
The Trilateral Tabletop Maritime Security Exercise (TTEX) in December 2013 was a maritime security exercise conducted jointly by the navies of India, Sri Lanka, and Maldives. These countries cooperate on maritime security in the Indian Ocean region, particularly focusing on issues like counter-piracy, maritime terrorism, and disaster response.
TTEX is a simulation-based exercise designed to improve coordination and understanding among the participating navies on maritime security threats and responses.
India, Sri Lanka, and Maldives are part of a trilateral maritime security cooperation framework in the Indian Ocean. Exercises and discussions among these three nations are regular events aimed at enhancing regional stability and security.

18. Which one among the following was the reason behind the boycott of rec

Which one among the following was the reason behind the boycott of recent general elections in Bangladesh by the main opposition parties ?

Demand for preparation of a fresh electoral roll was not fulfilled
Demand for allowing international observers for the poll was not fulfilled
Demand for holding the elections under a neutral government was not fulfilled
Demand for stopping prosecution of those involved in 1971 war crimes was not fulfilled
This question was previously asked in
UPSC CAPF – 2014
The primary reason for the boycott of the general elections in Bangladesh in January 2014 by the main opposition parties, led by the Bangladesh Nationalist Party (BNP), was their demand for the election to be held under a non-partisan caretaker government. The ruling Awami League government had abolished the caretaker government system in 2011.
The opposition argued that elections held under a political government, rather than a neutral interim body, would be unfair and rigged in favour of the ruling party. This demand was central to their stance.
The caretaker government system was originally introduced to ensure free and fair elections by temporarily handing power to a non-partisan body during the election period. Its abolition led to significant political crisis and deadlock in Bangladesh.

19. The Perform, Achieve and Trade (PAT) scheme in India is related to :

The Perform, Achieve and Trade (PAT) scheme in India is related to :

Education
Global warming
Energy efficiency
Bharat Nirman
This question was previously asked in
UPSC CAPF – 2014
The Perform, Achieve and Trade (PAT) scheme is a market-based mechanism aimed at enhancing energy efficiency in large energy-consuming industries in India. It is a key component of the National Mission for Enhanced Energy Efficiency (NMEEE) under India’s National Action Plan on Climate Change (NAPCC).
The PAT scheme targets Designated Consumers (DCs) in specific energy-intensive sectors, setting energy reduction targets for them. Achieving these targets earns them Energy Saving Certificates (ESCs) which can be traded.
The scheme is implemented by the Bureau of Energy Efficiency (BEE) under the Ministry of Power. While contributing indirectly to mitigating global warming by reducing energy consumption, its direct focus and mechanism are centred on improving energy efficiency across various industrial sectors.

20. What was the name given to the Indian Air Force’s first ever day-night

What was the name given to the Indian Air Force’s first ever day-night full combat and fire demonstration conducted recently at the Pokhran range ?

INDRA
Exercise Malabar
Yudh Abhyas
Iron Fist
This question was previously asked in
UPSC CAPF – 2014
In March 2014, the Indian Air Force (IAF) conducted a large-scale, comprehensive day-night combat and fire power demonstration at the Pokhran range in Rajasthan. This exercise, which showcased the IAF’s operational capabilities across the spectrum of its assets, was codenamed ‘Iron Fist’.
The question asks for the name of a specific, significant military exercise conducted by the Indian Air Force at the Pokhran range in 2014.
‘Iron Fist’ involved a wide array of IAF aircraft, including Sukhoi-30s, Mirages, Jaguars, MiG-21s, MiG-29s, C-130J Super Hercules, Mi-17s, Mi-35s, and weapon systems, demonstrating precision bombing, air-to-air refuelling, and various combat maneuvers in a simulated battle environment.

Exit mobile version