Practice

Question 1

How many three-digit numbers are divisible by 5?

See answer

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

See answer

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?

See answer

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?

See answer

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?

See answer

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?

See answer

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?

See answer

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

See answer

Correct answer: (C) 3/8
Take the fraction as x/y, so x + y = 11. Among the options only 3/8 meets that (3 + 8 = 11), and adding 1 to the numerator while subtracting 2 from the denominator gives 4/6 = 2/3, the second condition.

1 marks · 2023 · Set A

Question 9

An isotropic source of 2 candela produces light flux equal to

See answer

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

See answer

Correct answer: (B) Bernoulli’s principle
In a spray bottle the air moves fast, which lowers the pressure there, so the liquid is drawn up the tube and comes out as a spray. Pressure falling where the speed is high is Bernoulli's principle.

1 marks · 2023 · Set A

Question 11

The trade name of basic lead carbonate is

See answer

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?

See answer

Correct answer: (A) Lithium
Across a period the nuclear charge grows and the electrons are pulled in harder, so the atomic radius falls from left to right. Lithium stands furthest left, so its radius is the largest.

1 marks · 2023 · Set A

Question 13

The phenomenon of photoperiodism in plants was discovered by

See answer

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

See answer

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

See answer

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

See answer

Correct answer: (B) Lymphocytes
Lymphocytes are the kind of white blood cell that makes antibodies and recognises and destroys germs. Platelets clot the blood and red cells carry oxygen.

1 marks · 2023 · Set A

Question 17

The book Gyan Deepak was authored by which great saint?

See answer

Correct answer: (B) Dariya Saheb

1 marks · 2023 · Set A

Question 18

Which agency in India launched the UTSAH portal?

See answer

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?

See answer

Correct answer: (C) 19 February 2023

1 marks · 2023 · Set A

Question 20

In which city was the first pure green hydrogen plant commissioned?

See answer

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?

See answer

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?

See answer

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?

See answer

Correct answer: (A) Justice Sanjay Kumar

1 marks · 2023 · Set A

Question 24

Which was the first Bhojpuri movie?

See answer

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.

See answer

Correct answer: (C) 2, 3, 4, 1

1 marks · 2023 · Set A

Question 26

According to Trewartha, what type of climate does India have?

See answer

Correct answer: (B) Subtropical monsoon climate
Trewartha revised Koppen's classification. By his scheme most of India falls in the subtropical monsoon climate, with a hot summer, a rainy season and a dry winter.

1 marks · 2023 · Set A

Question 27

What is the normal date of withdrawal of the south-west monsoon at Hyderabad?

See answer

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?

See answer

Correct answer: (A) Goa

1 marks · 2023 · Set A

Question 29

The Malnad region is associated with which Indian plateau?

See answer

Correct answer: (C) Karnataka Plateau

1 marks · 2023 · Set A

Question 30

The South Peninsular Upland is part of

See answer

Correct answer: (A) Gondwana Land
The south peninsular upland is a part of the ancient Gondwanaland, which is why it is taken to be India's oldest and most stable landmass. The Himalaya is far younger by comparison.

1 marks · 2023 · Set A

Question 31

What percentage of India’s total population is the population of Bihar?

See answer

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.

1 marks · 2023 · Set A

Question 32

Which pair is not correctly matched with respect to the region south of the Ganga in Bihar?

See answer

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.

1 marks · 2023 · Set A

Question 33

Who is called the Prophet of New India?

See answer

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?

See answer

Correct answer: (A) Sannyasi
Bankim Chandra Chatterjee's novel ‘Anandamath’ is set against the Sannyasi revolt, which took place in Bengal in the latter half of the eighteenth century. The song ‘Vande Mataram’ comes from this novel.

1 marks · 2023 · Set A

Question 35

Who founded Abhinav Bharat in London?

See answer

Correct answer: (A) Vinayak Damodar Savarkar
‘Abhinav Bharat’ was founded by Vinayak Damodar Savarkar in 1904, and he later carried on its work in London. Shyamji Krishna Varma opened ‘India House’ there.

1 marks · 2023 · Set A

Question 36

Where was the Ghadar Party established?

See answer

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?

See answer

Correct answer: (E) None of the above
By the Commission's key Birsa Munda appointed none of the three to the post of ‘Commander in Chief’, so the answer is ‘None of the above’.

1 marks · 2023 · Set A

Question 38

Who formed the Bihar Socialist Party?

See answer

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?

See answer

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?

See answer

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?

See answer

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?

See answer

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?

See answer

Correct answer: (C) (2u²/g) tan θ sec θ

1 marks · 2023 · Set A

Question 44

The specific heat of a substance can be

See answer

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?

See answer

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

See answer

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

See answer

Correct answer: (D) More than one of the above

1 marks · 2023 · Set A

Question 48

Which energy change involves frictional forces?

See answer

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?

See answer

Correct answer: (B) 1:2

1 marks · 2023 · Set A

Question 50

When you stretch a rubber band, the transferred energy is stored as

See answer

Correct answer: (A) Potential energy

1 marks · 2023 · Set A

TRE1 — General Studies And Physics