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.
1 marks · 2023 · Set A
Question 2
The value of (1 + 1/2)(1 + 1/3)(1 + 1/4) … (1 + 1/120) is
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Correct answer: (A) 60.5 Turn each bracket into a fraction: (1 + 1/n) = (n+1)/n. The product becomes (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. So the value is 121/2 = 60·5.
1 marks · 2023 · Set A
Question 3
The distance between Delhi and Agra is 200 km. Travelling at an average speed of 90 km/hr for 120 km and 40 km/hr for the remaining distance, how much time will you take, on average, to reach Agra?
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Correct answer: (A) 3 hr 20 min
1 marks · 2023 · Set A
Question 4
A 10% loss on selling price is what percent loss on cost price?
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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 %.
1 marks · 2023 · Set A
Question 5
A pizza boy delivered two-fifths of his pizzas on day 1, three-fourths on day 2, and 9/16 on day 3. If he had the same number of pizzas at the beginning of each day, on which day did he deliver the most pizzas?
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Correct answer: (B) Day 2 Compare the fractions: two-fifths is 0·4, three-fourths is 0·75 and 9/16 is 0·5625. Since he began each day with the same number of pizzas, the largest fraction means the most delivered—so day 2.
1 marks · 2023 · Set A
Question 6
Carpeting an 18 m long room with carpet 75 cm wide, at ₹4.50 per metre, costs ₹810. What is the breadth of the room?
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Correct answer: (B) 7.5 m
1 marks · 2023 · Set A
Question 7
A and B complete a task in 15 days working together. A alone completes it in 20 days. How many days will B take alone?
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Correct answer: (C) 60 days
1 marks · 2023 · Set A
Question 8
The sum of the numerator and denominator of a fraction is 11. If 1 is added to the numerator and 2 subtracted from the denominator, it becomes 2/3. The fraction is
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Correct answer: (C) 3/8
1 marks · 2023 · Set A
Question 9
An isotropic source of 2 candela produces light flux equal to
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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.
1 marks · 2023 · Set A
Question 10
Spray bottles used as window or household cleaner or perfume sprayers work on
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Correct answer: (B) Bernoulli’s principle
1 marks · 2023 · Set A
Question 11
The trade name of basic lead carbonate is
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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.
1 marks · 2023 · Set A
Question 12
Which element has the largest atomic radius?
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Correct answer: (A) Lithium
1 marks · 2023 · Set A
Question 13
The phenomenon of photoperiodism in plants was discovered by
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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.
1 marks · 2023 · Set A
Question 14
Silent Valley in Kerala is preserved because
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Correct answer: (A) It contains very rare species of plants and animals
1 marks · 2023 · Set A
Question 15
During normal respiration in a mammal, the diaphragm is
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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.
1 marks · 2023 · Set A
Question 16
The most important cell type associated with the body’s immunity is
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Correct answer: (B) Lymphocytes
1 marks · 2023 · Set A
Question 17
The book Gyan Deepak was authored by which great saint?
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Correct answer: (B) Dariya Saheb
1 marks · 2023 · Set A
Question 18
Which agency in India launched the UTSAH portal?
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Correct answer: (A) UGC The UTSAH portal—Undertaking Transformative Strategies and Actions in Higher Education—was launched by the UGC to track the reforms of the National Education Policy in universities and colleges.
1 marks · 2023 · Set A
Question 19
When was the A. P. J. Abdul Kalam Satellite Launch Vehicle Mission launched?
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Correct answer: (C) 19 February 2023
1 marks · 2023 · Set A
Question 20
In which city was the first pure green hydrogen plant commissioned?
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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’.
1 marks · 2023 · Set A
Question 21
Which year was declared by the UNO as the International Year of Millets?
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Correct answer: (A) 2023 The United Nations declared 2023 the International Year of Millets, on a proposal moved by India.
1 marks · 2023 · Set A
Question 22
Who among the following won the 2022 Nobel Peace Prize?
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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.
1 marks · 2023 · Set A
Question 23
Who was appointed Chairman of the State Commission for Backward Classes by the Bihar Government on 2 January 2022?
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Correct answer: (A) Justice Sanjay Kumar
1 marks · 2023 · Set A
Question 24
Which was the first Bhojpuri movie?
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Correct answer: (A) Ganga Maiya Tohe Piyari Chadhaibo
1 marks · 2023 · Set A
Question 25
Arrange these Indian thermal power projects from east to west: 1. Kota 2. Namrup 3. Obra 4. Parichha. Select the correct order.
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Correct answer: (C) 2, 3, 4, 1
1 marks · 2023 · Set A
Question 26
According to Trewartha, what type of climate does India have?
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Correct answer: (B) Subtropical monsoon climate
1 marks · 2023 · Set A
Question 27
What is the normal date of withdrawal of the south-west monsoon at Hyderabad?
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Correct answer: (B) 15 October The south-west monsoon normally withdraws from Hyderabad by 15 October.
1 marks · 2023 · Set A
Question 28
Which state has the highest urbanization?
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Correct answer: (A) Goa
1 marks · 2023 · Set A
Question 29
The Malnad region is associated with which Indian plateau?
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Correct answer: (C) Karnataka Plateau
1 marks · 2023 · Set A
Question 30
The South Peninsular Upland is part of
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Correct answer: (A) Gondwana Land
1 marks · 2023 · Set A
Question 31
What percentage of India’s total population is the population of Bihar?
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Correct answer: (A) 8.58%
1 marks · 2023 · Set A
Question 32
Which pair is not correctly matched with respect to the region south of the Ganga in Bihar?
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Correct answer: (C) Patna–Vaishali
1 marks · 2023 · Set A
Question 33
Who is called the Prophet of New India?
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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.
1 marks · 2023 · Set A
Question 34
Which revolt is mentioned in Bankim Chandra Chattopadhyay’s Anandamath?
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Correct answer: (A) Sannyasi
1 marks · 2023 · Set A
Question 35
Who founded Abhinav Bharat in London?
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Correct answer: (A) Vinayak Damodar Savarkar
1 marks · 2023 · Set A
Question 36
Where was the Ghadar Party established?
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Correct answer: (C) United States of America The Ghadar Party was founded in 1913 at San Francisco, in the United States of America.
1 marks · 2023 · Set A
Question 37
Who was appointed Commander-in-Chief by Birsa Munda?
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Correct answer: (E) None of the above
1 marks · 2023 · Set A
Question 38
Who formed the Bihar Socialist Party?
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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.
1 marks · 2023 · Set A
Question 39
In which year was the Bihar Provincial Congress Committee formed, with its headquarters at Patna?
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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.
1 marks · 2023 · Set A
Question 40
Who established a branch of the Anushilan Samiti in Patna in 1913?
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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.
1 marks · 2023 · Set A
Question 41
In an experiment, quantities a, b, c are measured and Y = ab²/c⁴ is calculated. If the maximum percentage errors in a, b and c are 1%, 2% and 3%, respectively, what is the maximum percentage error in Y?
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Correct answer: (B) 17%
1 marks · 2023 · Set A
Question 42
What is an oscillator’s proportionality constant if the damping force is proportional to velocity?
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Correct answer: (A) kg/s
1 marks · 2023 · Set A
Question 43
A particle is projected with speed u from the top of a plane inclined at angle θ to the horizontal. What is the distance from the projection point to where it strikes the plane?
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Correct answer: (C) (2u²/g) tan θ sec θ
1 marks · 2023 · Set A
Question 44
The specific heat of a substance can be
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Correct answer: (D) More than one of the above
1 marks · 2023 · Set A
Question 45
A 2 kg block is pulled up a smooth incline at 30° to the horizontal. If it accelerates at 2 m/s², what is the average power delivered 4 seconds after motion starts?
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Correct answer: (C) 55.2 watt
1 marks · 2023 · Set A
Question 46
The ratio of a body’s average velocity to its average speed is
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Correct answer: (C) 1 or less than 1
1 marks · 2023 · Set A
Question 47
In a head-on elastic collision between two bodies of equal mass
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Correct answer: (D) More than one of the above
1 marks · 2023 · Set A
Question 48
Which energy change involves frictional forces?
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Correct answer: (A) Kinetic energy to heat energy
1 marks · 2023 · Set A
Question 49
A body falls freely from height H and hits an inclined plane at height h. The impact makes its velocity horizontal. For maximum time to reach the ground, what should the ratio h/H be?
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Correct answer: (B) 1:2
1 marks · 2023 · Set A
Question 50
When you stretch a rubber band, the transferred energy is stored as