Q: Three circles of radius 5 cm each touch each other. If the points of contact are P, Q and R, then what is the area of the triangle PQR in sq. cm?
(a)25√3 / 6
(b)25√3 / 4
(c)25√3 / 2
(d)25√3
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123 questions • General Ability & Intelligence (GAI)
Q: Three circles of radius 5 cm each touch each other. If the points of contact are P, Q and R, then what is the area of the triangle PQR in sq. cm?
Q: The right-angled triangle ABC is such that ∠B = 90°. Point D is picked on BC such that triangles ABC and DBA are similar. If AB : BC = m : n, what is ΔABC : ΔABD, where Δ denotes the area of a triangle?
Q: On a large ground, there is a straight tall vertical wall of length 28 m. A goat is tied to a point on the ground which is at the middle of the wall, using a rope. If the length of the rope is 21 m, what is the area of the region (in sq. m) around the wall that the goat can access?
Q: A rectangular wall is divided into four squares of equal size where there are two rows each having two squares. The top-left square is coloured with green. If, including green, there are three colours available and each square is coloured using any one of these three colours such that no two adjacent squares get painted with the same colour, then how many colour combinations are possible?
Q: Which of the following statements about National Emergency is/are correct? 1. A Proclamation of Emergency may be made by the President only when the security of India or any part thereof is threatened by war or external aggression or armed rebellion. 2. The Government of India acquires power to give directions to a State on any matter. 3. The Proclamation of Emergency does not suspend the State legislature. 4. The Proclamation of Emergency can continue for a maximum period of six months at a time only if approved by resolutions of both the Houses of Parliament. Select the correct answer using the code given below:
Q: Which one of the following statements with regard to the impeachment of a Judge of the Supreme Court of India is not correct?
Q: Which of the following are India's G20 priorities? 1. Green Development 2. Women-led Development 3. Climate Finance 4. Digital Public Infrastructure Select the correct answer using the code given below:
Q: Which of the following are the objectives of SAARC? 1. To promote the welfare of the peoples of South Asia and to improve the quality of life 2. To promote and strengthen collective self-reliance among the countries of South Asia 3. To contribute to mutual trust, understanding and appreciation of one another's problems 4. To work towards ending cross-border terrorism Select the correct answer using the code given below:
Q: Pure, demineralized water, free from all soluble mineral salts is obtained by which of the following method?
Q: Consider the following redox reaction: 2Cu₂O (s) + Cu₂S (s) → 6Cu (s) + SO₂ (g) Identify the species among the following acting as oxidant and reductant, respectively:
Q: Which one of the following statements is not correct regarding the setting of cement?
Q: Which one is the most abundant of all the elements on Earth?
Q: Which one of the following metals does not react with oxygen directly?
Q: Consider the following observations about the largest stupa at Sanchi: 1. Going by information available from the inscriptions on the railings of the stupa, the construction of part of one of its gateways was financed by the Guild of Ivory workers. 2. In its original early form, this stupa was plain except for the stone railings and the gateways, which were richly carved. 3. The panels on the four gateways contain sculptures only in the front and have no sculptures on the rear side. 4. In 1918, when the stupa was discovered, all of its four gates were intact but the mound was in poor condition. 5. Art historians have established clear connections between the sculptures of the stupa with events described in Jataka Tales. 6. War scenes have also been depicted in these sculptures. Which of the observations given above are correct?
Q: Which of the following pairs are correctly matched? (Inscription/Event) (Time Period) 1. Prayag Prashasti by Harisena – 4th century CE 2. Chinese traveller Fa Xian's Account – 6th century CE 3. Mudrarakshasa of Vishakhadatta – 5th century CE 4. Harshacharita of Banabhatta – 6th century CE 5. Aihole Prashasti of Ravikirti – 7th century CE 6. Kavirajamarga of Amoghavarsha – 8th century CE Select the correct answer using the code given below:
Q: Which one of the following statements is correct?
Q: Which one of the following activities was not a part of the daily time-table for a King as prescribed in Arthashastra?
Q: Which organelle other than nucleus in eukaryotic cells has its own DNA, ribosomes and proteins?
Q: For protein synthesis, the amino acids are recognized and carried by:
Q: In vertebrates, smooth endoplasmic reticulum in cells of which organ plays a crucial role in detoxification of toxic compounds?
Q: The rate of an enzyme catalyzed reaction depends:
Q: Both starch and glycogen are made up of glucose, however:
Q: In some viral infections, number of platelets are reduced quickly. Platelets are essential because:
Q: The focus of the Second Five Year Plan was:
Q: An Indian businessperson buys shares in a British car company. This transaction will be reflected in:
Q: Which of the following are High Frequency Indicators of the Indian economy? 1. Power Consumption 2. IIP General Index 3. 10-year G-sec yield Select the correct answer using the code below:
Q: Suppose an Indian citizen makes an investment abroad and earns a positive return on her investment. Which of the following is correct?
Q: If the Cash Reserve Ratio is lowered by the RBI, supply of money in the economy will:
Q: Which one of the following is the main cause of the acid rains?
Q: Biogas is considered to be an excellent fuel which burns without smoke. The main constituent of biogas is:
Q: The depletion in atmospheric ozone layer in last century was due to:
Q: Which one of the following holds true for a freely falling object?
Q: A sound wave of frequency of 2 kHz has a wavelength of 35 cm in a given medium. How long will it take to travel a distance of 2.1 km through the medium?
Q: Which one of the following conservation laws is a consequence of the Newton's third law of motion?
Q: Which one of the following is a permeable rock that allows water to pass through it?
Q: Which one of the following is the deepest, inland and protected port on the east coast of India?
Q: The greatest diversity of animal and plant species is found in:
Q: Which one among the following statements about 'Drumlin' is correct ?
Q: Which one of the following is the busiest sea route and links two industrially developed regions of the world ?
Q: Using the code given below identify the type of farming on the basis of given characteristics : 1. The produce is consumed entirely or mainly by the family who work the land or tend the livestock. 2. If a small surplus is produced, it may be sold or bartered. 3. It is generally small scale and labour intensive with little or no technological input. Code :
Q: Car A takes 1 hour more than car B, which travels at a speed of 60 km per hour, to cover some fixed distance. If car A had doubled its speed, it could cover the distance in 1 hour less time than car B travelling at 60 km per hour. What is the original speed of car A in km per hour ?
Q: Suppose A, B and C are three taps fixed to the bottom of a tank with draining capacity 1 : 2 : 3. When all three of them are on, it takes 1 hour to drain out the full tank. If A and C are on but B is off, then how much time, in minutes, will it take to empty out a full tank of water ?
Q: Assume that the Earth is a spherical ball of radius x km with a smooth surface so that one can travel along any direction. If you have travelled from point P on the Earth's surface along the East direction a distance of πx km, which direction do you have to travel to return to P so that the distance required to travel is minimum ?
Q: If x and y are two-digit prime numbers such that y is obtained from x by interchanging its digits and x − y = 36, then what is the value of xy ?
Q: Sixty-four cubes of sides 2 cm each are combined to form a cube of side 8 cm. If four of the smaller cubes along the diagonal of a surface are removed from the surface of the large cube, which one of the following statements about the surface area of this solid object is true?
Q: Which of the following statements about Organization for Security and Cooperation in Europe (OSCE) are correct? 1. There are total 57 states from Europe, Central Asia and America. 2. It offers a forum for political negotiations and decision-making in the field of early warning, conflict prevention, crisis management and post-conflict rehabilitation. 3. OSCE has the primary responsibility of providing military security in the European Region. 4. The decisions of OSCE are legally binding. Select the correct answer using the code given below:
Q: Which of the following statements about Quad is/are correct? 1. It is a group of four countries, namely, India, Australia, USA and France. 2. Maritime cooperation is an important binding force among members of the Quad. 3. The Quad members formed a working group on COVID-19 vaccines. Select the correct answer using the code given below:
Q: The National Human Rights Commission was established under the statute of:
Q: Which of the following is/are not an official language(s) of the United Nations? 1. Arabic 2. German 3. Spanish 4. Chinese Select the correct answer using the code given below:
Q: The method used in separating a mixture of two miscible liquids having sufficient difference in their boiling points is:
Q: Which one of the following statements is correct?
Q: The gas generated on reacting zinc with dilute sulphuric acid is:
Q: An aqueous solution of a salt is known as brine. The salt is:
Q: Which one of the following commissions was not associated with public services in India?
Q: Who among the following was known as 'Lokhitwadi'?
Q: Match List-I with List-II and select the correct answer using the code given below the Lists: List-I (Harappan Site) A. Nageshwar B. Alamgirpur C. Kalibangan D. Rakhigarhi List-II (Location) 1. Uttar Pradesh 2. Rajasthan 3. Saurashtra 4. Haryana Code:
Q: Which one of the following pairs of books and their authors is not correctly matched?
Q: Which of the following is/are important markers for the archaeologists to identify an archaeological site as a 'center of craft production'? 1. Evidence of raw materials such as stone nodules, whole shells, etc. 2. Geographical expanse of the site 3. Evidence of unfinished objects, rejects and waste material 4. Evidence of variety of pottery Select the correct answer using the code given below:
Q: In humans, urea is mainly formed from the metabolism of which one of the following components of food?
Q: The lymph is mainly formed from the plasma of blood and it surrounds the cells. The main difference between blood and lymph is:
Q: For the digestion of carbohydrate, protein and fat, enzymes such as amylase, trypsin and lipase are required. It is secreted into the duodenum through:
Q: Lactic acid is formed in the muscles during exercise or running. It is formed:
Q: Fiscal deficit in the Union Budget means:
Q: Which one of the following is the largest component of revenue expenditure in the Union Budget 2022-23?
Q: Adequacy of foreign exchange reserves of a country is captured by which of the following indicators? 1. Reserves to import ratio 2. Reserves to external debt ratio 3. Reserves to GDP ratio 4. Reserves to monetary aggregates Select the correct answer using the code below:
Q: If all the people of the economy increase the proportion of income they save, the total value of savings in the economy will either decrease or remain unchanged. This phenomenon is known as:
Q: The banks are required to maintain a certain ratio between their cash in hand and total assets. This ratio is known as:
Q: A simple harmonic motion of a particle is represented as, y = 10 cos ωt. The acceleration of the particle at time t = π⁄2ω will be: (symbols here carry their usual meanings)
Q: A wire of resistance R is cut into four equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is R′, then the ratio R′⁄R is:
Q: In experiment #1, a bar magnet is moved towards a conducting wire loop axially, with the magnet’s north pole facing the loop. In experiment #2, the same process as in experiment #1 is repeated except that the south pole of the magnet faces the loop. Which one of the following statements is true in this context?
Q: Which one of the following correctly explains the change in seasons on Earth?
Q: Consider the following statements: 1. The Great Northern Plains are formed by basins of three distinct river systems — the Indus, the Ganga and the Brahmaputra. 2. They are one of the most densely populated areas on Earth. 3. Between the Yamuna at Delhi and the Bay of Bengal, nearly 1600 km away, there is a drop of only 200 metres in elevation. Which of the statements given above are correct?
Q: Consider the following statements: 1. Many of the world's largest mountain chains exist beneath the sea. 2. Some mountain chains are revealed as island arcs. 3. The mid-oceanic ridges form the longest mountain chains. 4. The mid-Atlantic ridge rises thirty-three metres above the floor of the Atlantic. Which of the statements given above are correct?
Q: Match List-I with List-II and select the correct answer using the code given below the Lists: List-I (Temperate Grassland): A. Prairies, B. Steppes, C. Pampas, D. Veldt List-II (Region): 1. Eurasia, 2. South Africa, 3. North America, 4. South America
Q: Consider the following statements about millets: 1. Millets are often referred to as climate-resilient crops because they can grow on arid lands with minimal inputs and maintenance. 2. Millets are a good source of minerals, dietary fibre, antioxidants and protein. 3. Millets, including sorghum, account for less than 3% of the global grains trade. Which of the statements given above are correct?
Q: For how many pairs of vowels is the chance of occurrence of any one of the two more than 34% in the book?
Q: Among the three vowels which occur minimum number of times, what is the percentage of occurrence of the letter that occurs the maximum number of times among them?
Q: If "O" and "U", irrespective of upper or lower case, occur exactly 5040 times, then how many times does the letter "E" occur in the book in the upper or the lower case?
Q: Suppose a, b and c are three distinct natural numbers such that a + b + c = abc. Consider the following statements: 1. The arithmetic mean of a, b and c is a natural number. 2. The harmonic mean of a, b and c lies between 1 and 2. Which of the statements given above is/are correct?
Q: How many three-digit numbers are possible such that the difference between the original number and the number obtained by reversing the digits is 396? (no digit is repeated)
Q: Which of the following statements is/are correct? 1. Population ageing is the process by which the share of the older population becomes proportionately lesser. 2. In most of the developed countries, the population in higher age groups has increased. Select the correct answer using the code given below:
Q: Which of the following statements is/are correct about 'Action for Climate Empowerment' (ACE)? 1. It is a term adopted by the UN Framework Convention on Climate Change. 2. This term is related to the Paris Agreement. Select the correct answer using the code given below:
Q: What is 'Climate Neutral Now' initiative? 1. It encourages organizations and other interested stakeholders to act now in order to achieve a carbon neutral world by 2030. 2. It derives its aims from the Paris Agreement. Select the correct answer using the code given below:
Q: Which of the following statements is/are correct about KAVACH-2023? 1. It is a joint coordination committee of all three wings of India's armed forces to protect India's borders. 2. It is India's national level hackathon jointly launched by AICTE and BPRD to tackle cyber threats. Select the correct answer using the code given below:
Q: Which one among the following statements with reference to the 'Neolithic Period' is not correct?
Q: Which one of the following is not a pottery type?
Q: Which one of the following political centers finds a mention in Ashokan inscriptions?
Q: Which one of the following statements with reference to the ancient Indian coins is not correct?
Q: Consider the following statements about the practice of Vedic sacrifices : 1. The shrauta (Vedic sacrifices) involved the use of three fires — the garhapatya (householder’s fire), ahavaniya (offeratorial fire) and dakshinagni (southern fire). 2. These fires were supposed to be placed in pits of different shapes, i.e., the garhapatya to be square, ahavaniya to be round and that of the dakshinagni, rectangle-shaped. Which of the statements given above is/are correct ?
Q: Trans-Siberian Railway from St. Petersburg to Vladivostok does not run across :
Q: Consider the following statements about Barchans : 1. These landforms are found in Thar desert in India. 2. The windward side has concave slope with maximum height at the centre. 3. Two ends of the barchan are called horns. Which of the statements given above is/are correct ?
Q: Consider the following statements : 1. Geothermal energy can be used to produce electricity or its hot water can be used directly for industry, agriculture, bathing and cleaning. 2. Nuclear energy is often cheaper than some other sources of electricity. 3. Thermal power stations burn fossil fuels to create steam to drive the turbines. Which of the statements given above is/are correct ?
Q: Match List-I with List-II and select the correct answer using the code given below the Lists : List-I (International Convention) A. Stockholm Convention B. Minamata Convention C. Basel Convention D. Rotterdam Convention List-II (Theme) 1. Hazardous chemicals and pesticides in international trade 2. Persistent organic pollutants 3. Binding instrument on mercury 4. Transboundary movement of hazardous wastes and their disposal Code :
Q: The Judgment of the Supreme Court in Peoples’ Union for Civil Liberties v. Union of India 2004 is related to which of the following ?
Q: Which among the following deals with Habeas Corpus?
Q: Which among the following statements regarding the powers of the High Courts under Article 226 of the Constitution of India is not correct?
Q: Which among the following is not correct?
Q: 'Basel Convention', 'Rotterdam Convention' and 'Stockholm Convention' relate to which of the following?
Q: Which of the following is/are not correct about the Mother's Absolute Affection Programme? 1. Allows all pregnant women to absolutely free and no-expense delivery in public health institutions. 2. Provides assured, comprehensive and quality antenatal care. 3. Promotes undiluted focus on breastfeeding. 4. Provides medical and nutritional care to severely acute malnourished children. Select the correct answer using the code given below:
Q: Which of the following statements about the Right to Information Act, 2005 is/are correct? 1. There shall be not more than twelve (12) Information Commissioners. 2. The Chief Information Commissioner shall hold office for a term of five years. 3. The Chief Information Commissioner is eligible for reappointment. Select the correct answer using the code given below:
Q: Who among the following was the first pro-tem Speaker to be unanimously elected as the Speaker of the Lok Sabha?
Q: Consider the following statements with reference to Jainism: 1. Vardhamana Mahavira attained Kaivalyajnana outside the town of Jrimbhikagrama, on the banks of river Rijupalika and in the field of a householder named Samaga. 2. The state when the Karma particles actually begin to flow towards the Jiva to bind it is known as Asrava. Which of the statements given above is/are correct?
Q: Consider the following pairs with reference to textiles in Southern India: (Tax) (Meaning) 1. Panjupeeli : on cotton yarn 2. Nulayam : on cotton thread 3. Tari kadamai : on silk clothes 4. Sella : on silk thread Which of the pairs given above is/are correct?
Q: Which one of the following animals does not come under the category of four noble animals (Maha-Ajaneya Pasu) carved on the round drum (Anda-Phalaka) of the lion capital at Sarnath?
Q: The ruler Vindhyashakti during the period preceding the Gupta Age is associated with which one of the following dynasties?
Q: The ancient Indian medical treatise for horses called Ashvashastra is attributed to which one of the following persons?
Q: The celebrated group of poets in medieval Mathura and Vrindavana called the Ashta-Chhapa were the successors of which one of the following medieval Bhakti Saints?
Q: Consider the following statements about Laterite soil found in India: 1. Laterite soil is found in high altitudes of Himalaya. 2. It is a very fertile soil. 3. It is a red colour soil due to presence of iron oxide. 4. It is poor in Nitrogen, Potash and organic matter. Which of the statements given above is/are correct?
Q: Which of the following statements about Ragi crop grown in India is correct?
Q: Consider the following statements about rock structure: 1. Conglomerates are clastic sedimentary rocks. 2. Slate is a non-clastic sedimentary rock. 3. Granite is a plutonic igneous rock. 4. Basalt is an extrusive igneous rock. Which of the statements given above are correct?
Q: Consider the following statements about Ramsar Wetland sites in India: 1. Gahirmatha is the habitat of Olive Ridley Turtles. 2. Chilika Lake is the habitat of Irrawaddy Dolphin as its flagship species. 3. Nalsarovar Wetland is also the habitat of Indian Wild Ass (Khur). 4. Tso Moriri Wetland is the habitat and breeding ground of Black-necked Crane. Which of the statements given above are correct?
Q: Which of the following soil-formation process takes place in Phumdis (floating fields) in Loktak Lake of Manipur?
Q: Which one of the following statements is correct about Spring tides?
Q: Consider the following statements about IPL cricket tournament: 1. Two teams won the tournament five times each. 2. Chennai Super Kings remained runner-up in five editions of the tournament. 3. On three occasions, the final was played abroad. Which of the statements given above is/are correct?
Q: Consider the following statements about Khelo India University Games (KIUG): 1. The first edition of KIUG was held in Odisha. 2. The name of the mascot of the third edition of KIUG was Jeetu. 3. The first edition of KIUG was postponed due to COVID. Which of the statements given above is/are correct?
Q: Exercise Ajeya Warrior is a biennial training event between the Indian Army and the army of:
Q: The journey of the First Phase of Sagar Parikrama Yatra, an initiative of the Government of India, was started from:
Q: The annual Kheer Bhawani Mela is organized at:
Q: NISAR satellite is manufactured jointly by Indian Space Research Organisation and:
Q: ‘Operation Kaveri’ is a rescue operation launched by the Government of India to evacuate Indian citizens who were stranded in:
Q: ‘Rail Vikas Nigam Limited’ is a:
Q: What are Airawat, Param Siddhi, Pratyus and Mihir?
Q: Which one of the following Indian Naval Ships has recently concluded a 17,000-nm trans-ocean intercontinental voyage?