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120 questions · 120 marks · 2 hours
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Correct answer: (A) 180
The smallest three-digit multiple of 5 is 100 and the largest is 995. The count is (995 − 100) ÷ 5 + 1 = 179 + 1 = 180.
Correct answer: (A) 60.5
Each bracket becomes (1 + 1/n) = (n+1)/n, so the product is (3/2) × (4/3) × (5/4) × … × (121/120). Each numerator cancels the next denominator, leaving only the first denominator 2 and the last numerator 121. The value is 121/2 = 60·5.
Correct answer: (A) 3 hr 20 min
Time is distance ÷ speed. Covering 200 kilometres at an average of 60 km/hr takes 200 ÷ 60 = 10/3 hours, that is 3 hours 20 minutes.
Correct answer: (A) 9 1/11%
Take the selling price as 100. A 10% loss means a loss of 10, so the cost price was 110. Loss on cost = (10 ÷ 110) × 100 = 9 1/11 %.
Correct answer: (B) Day 2
Compare the fractions: two-fifths is 0·4, three-fourths is 0·75 and 9/16 is 0·5625. He began each day with the same number, so the largest fraction means the most delivered—day 2.
Correct answer: (B) 7.5 m
The total cost is ₹810 at ₹4·50 a metre, so the carpet is 810 ÷ 4·50 = 180 metres long. Its width is 75 cm, that is 0·75 m, so the area is 180 × 0·75 = 135 square metres. The room's breadth is 135 ÷ 18 = 7·5 m.
Correct answer: (C) 60 days
Add the day's work: together A and B do 1/15 of the task and A alone 1/20. So B's day's work is 1/15 − 1/20 = (4 − 3)/60 = 1/60, and B alone would take 60 days.
Correct answer: (C) 3/8
Let the fraction be x/y, so x + y = 11. Of the options only 3/8 meets that (3 + 8 = 11), and adding 1 to the numerator and taking 2 from the denominator gives 4/6 = 2/3, which satisfies the second condition. The digits of 5/6 and 6/5 do not add to 11 at all.
Correct answer: (C) 8π lumen
An isotropic source throws light equally in every direction, so the total luminous flux is 4π × the luminous intensity. With an intensity of 2 candela the flux is 4π × 2 = 8π lumen.
Correct answer: (B) Bernoulli’s principle
In a spray bottle air rushes past quickly, the pressure there drops, and liquid is drawn up the tube into a spray. That fall of pressure with speed is Bernoulli's principle.
Correct answer: (A) White lead
The trade name of basic lead carbonate is white lead, once used in white paint. Red lead is Pb₃O₄ and litharge is PbO.
Correct answer: (A) Lithium
Moving left to right across a period the nuclear charge rises and the atomic radius shrinks. Lithium lies furthest left of the three, so its radius is the largest.
Correct answer: (A) Garner and Allard
Photoperiodism in plants—flowering according to the length of day and night—was discovered by Garner and Allard in 1920.
Correct answer: (A) It contains very rare species of plants and animals
Kerala's Silent Valley is preserved because it holds very rare species of plants and animals. A dam proposed there in the 1980s met wide opposition.
Correct answer: (D) More than one of the above
During inhalation the diaphragm contracts, moves down and flattens, which enlarges the chest cavity. ‘Flattened’ and ‘lowered’ describe the same movement, so more than one option is correct.
Correct answer: (B) Lymphocytes
Lymphocytes are the white blood cells that make antibodies and recognise and destroy germs. Platelets clot the blood and red cells carry oxygen.
Correct answer: (B) Dariya Saheb
‘Gyan Deepak’ was written by the saint Dariya Saheb, counted a leading poet of Bihar's nirguna saint tradition.
Correct answer: (A) UGC
The UTSAH portal was launched by the University Grants Commission (UGC) to monitor the quality of higher-education institutions.
Correct answer: (C) 19th February, 2023
The A. P. J. Abdul Kalam Satellite Launch Vehicle Mission was launched on 19 February 2023.
Correct answer: (E) None of the above
India's first pure (99·999%) green hydrogen plant was commissioned by Oil India Limited at Jorhat in Assam in April 2022. Hyderabad, Mumbai and Pune are all wrong, so the answer is ‘None of the above’.
Correct answer: (A) 2023
On India's proposal the United Nations declared 2023 the International Year of Millets.
Correct answer: (A) Ales Bialiatski
The 2022 Nobel Peace Prize went jointly to Ales Bialiatski of Belarus and to two human-rights organisations, one Russian and one Ukrainian.
Correct answer: (A) Justice Sanjay Kumar
On 2 January 2022 the Bihar Government appointed Justice Sanjay Kumar as Chairman of the State Commission for Backward Classes.
Correct answer: (A) Ganga Maiya Tohe Piyari Chadhaibo
The first Bhojpuri film, ‘Ganga Maiya Tohe Piyari Chadhaibo’, was made in 1963 and directed by Kundan Kumar.
Correct answer: (C) 2, 3, 4, 1
From east to west the order runs Namrup (Assam), Obra (Uttar Pradesh), Parichha (Uttar Pradesh) and Kota (Rajasthan). So the correct sequence is 2, 3, 4, 1.
Correct answer: (B) Subtropical monsoon climate
Trewartha revised Köppen's scheme. In his classification most of India falls under a subtropical monsoon climate—hot summers, a rainy season and a dry winter.
Correct answer: (B) 15th October
The south-west monsoon normally withdraws from Hyderabad by 15 October. Withdrawal begins in north-west India and moves gradually southward.
Correct answer: (A) Goa
Goa is India's most urbanised State—more than half its population lives in towns and cities.
Correct answer: (C) Karnataka Plateau
The western, higher-rainfall hill portion of the Karnataka Plateau is called ‘Malnad’, while the drier eastern part is called the ‘Maidan’.
Correct answer: (A) Gondwana Land
The South Peninsular Upland is part of the ancient Gondwana Land, which is why it is India's oldest and most stable landmass.
Correct answer: (A) 8.58%
By the 2011 Census, Bihar's population is about 8·58% of India's total, which makes it the third largest state by population.
Correct answer: (C) Patna–Vaishali
Vaishali lies north of the Ganga, so ‘Patna–Vaishali’ is not a pair from the region south of the river. Munger, Gaya and Arwal are all south of it.
Correct answer: (A) Raja Ram Mohan Roy
Raja Ram Mohan Roy is called the ‘Prophet of New India’. Having brought about the end of sati and founded the Brahmo Samaj, he is taken as the herald of the Indian renaissance.
Correct answer: (A) Sannyasi
Bankim Chandra Chattopadhyay's novel ‘Anandamath’ is set against the Sannyasi revolt. The song ‘Vande Mataram’ is taken from this novel.
Correct answer: (A) Vinayak Damodar Savarkar
‘Abhinav Bharat’ was founded by Vinayak Damodar Savarkar in 1904, and he later ran its work in London. Shyamji Krishna Varma had opened India House there.
Correct answer: (C) United States of America
The Ghadar Party was founded in 1913 at San Francisco, in the United States of America.
Correct answer: (E) None of the above
Correct answer: (B) Phulan Prasad Varma and Jayaprakash Narayan
The Bihar Socialist Party was formed in 1931 by Phulan Prasad Varma and Jayaprakash Narayan. It became the basis of the All India Congress Socialist Party.
Correct answer: (A) 1908
The Bihar Provincial Congress Committee was formed in 1908 with its headquarters at Patna—before Bihar became a separate province in 1912.
Correct answer: (C) Sachindra Nath Sanyal
Sachindra Nath Sanyal established the Patna branch of the Anushilan Samiti in 1913. He went on to be among the founders of the Hindustan Republican Association.
Correct answer: (C) Ronaldshay
“Pessimism involves all Indian physical and spiritual life” was said by Lord Ronaldshay.
Correct answer: (D) More than one of the above
The ill effect of a pessimistic life falls on practical, social and political life alike, so the answer is ‘more than one’.
Correct answer: (C) Jaina
By the key Bhutachaitanyavada is taken in the Jaina context, so that is the answer.
Correct answer: (E) None of the above
Craving, consciousness and sense contact are all links of the twelve-fold chain of causation, so the answer is ‘None of the above’.
Correct answer: (C) Dignaga
The Pramanasamuchchaya was written by Dignaga.
Correct answer: (B) Naiyayika
The chief critics of Syadvada were the Bauddha and the Mimamsaka; the Naiyayika is not counted among its main critics.
Correct answer: (E) None of the above
Madhyam Parinamavada was propounded by none of the schools listed, so the answer is ‘None of the above’.
Correct answer: (C) Yogachar — Shunyata Vivartavada
Samkhya's Prakritiparinamavada and Shankara's Vivartavada are right, but calling Yogachara ‘Shunyata Vivartavada’ is not—shunyavada belongs to the Madhyamika.
Correct answer: (B) Intellect
In the Samkhya order of evolution mahat, that is intellect, arises first out of prakriti.
Correct answer: (C) Raga
Truth and non-violence belong among the great vows, but raga is a fault to be given up, not a vow.