10 years ago the ratio of ages of Ramesh and Rajeev was 1:3. Five years hence this ratio will become 2:3. What is the ratio of their ages at present?
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Correct answer: (B) 3:5
1 marks · 2023 · Set A
Question 2
If I walk from my house to the station at 5 km per hour, my train will have left 7 minutes before I arrive. If I walk at 6 km per hour, I will reach the station 5 minutes before the train departs. What is the distance between my house and the station?
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Correct answer: (C) 6 km
1 marks · 2023 · Set A
Question 3
The average monthly income of P and Q is ₹5,050. The average monthly income of Q and R is ₹6,250, and the average monthly income of P and R is ₹5,200. What is P’s monthly income?
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Correct answer: (C) ₹4,000
1 marks · 2023 · Set A
Question 4
If 30% of P is added to 40% of Q, it becomes 80% of Q. Accordingly, what percentage of P is Q?
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Correct answer: (C) 75%
1 marks · 2023 · Set A
Question 5
A sum of money is distributed among A, B, C and D in the proportion 5:2:4:3. If C gets ₹1,000 more than D, what is B’s share?
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Correct answer: (C) ₹2,000
1 marks · 2023 · Set A
Question 6
A shopkeeper gives a 5% discount on the selling price of a watch. If he gives a 6% discount, his profit will be ₹15 less than before. What is the marked selling price of the watch?
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Correct answer: (B) ₹1,500
1 marks · 2023 · Set A
Question 7
Three numbers are in the ratio 3:4:5. The sum of the largest and smallest numbers equals the other number plus 52. What is the smallest number?
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Correct answer: (B) 39
1 marks · 2023 · Set A
Question 8
If 2^(2n−1) = 1/8^(n−3), what is the value of n?
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Correct answer: (B) 2
1 marks · 2023 · Set A
Question 9
Which of the following photoelectric devices is most suitable for digital applications?
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Correct answer: (A) Photovoltaic cell
1 marks · 2023 · Set A
Question 10
The critical mass of a fissionable material is
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Correct answer: (B) The minimum mass needed for a chain reaction
1 marks · 2023 · Set A
Question 11
Which gas is used to force the ripening of fruits?
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Correct answer: (B) Ethylene
1 marks · 2023 · Set A
Question 12
Which of the following has zero octane number?
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Correct answer: (C) n-octane On the octane scale n-octane is taken as zero and iso-octane as 100. So the fuel of zero octane number is n-octane. The Commission's key answers this ‘None of the above’, but n-octane is itself option 3, and the zero of the octane scale is fixed by it. So the answer is taken as 3 here.
1 marks · 2023 · Set A
Question 13
The edible part of litchis is
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Correct answer: (A) Aril The juicy part of a litchi that we eat is the aril, a fleshy growth that develops around the seed.
1 marks · 2023 · Set A
Question 14
The physical process involved in the release of molecular oxygen from leaves is
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Correct answer: (A) Diffusion The oxygen made in photosynthesis leaves the leaf through the stomata by diffusion—gases always spread from higher to lower concentration. Transpiration releases water vapour, and osmosis concerns water.
1 marks · 2023 · Set A
Question 15
The process of finding the relative location of genes on a chromosome is called
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Correct answer: (C) Gene mapping
1 marks · 2023 · Set A
Question 16
The spore mother cell in bryophytes is
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Correct answer: (B) Diploid
1 marks · 2023 · Set A
Question 17
In which year did the Government of India establish the National Green Tribunal (NGT) for the protection of the environment and forests?
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Correct answer: (A) 2010
1 marks · 2023 · Set A
Question 18
Which Indian city first started an underwater metro?
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Correct answer: (E) None of the above
1 marks · 2023 · Set A
Question 19
Under India’s G20 Presidency, where was the Tourism Working Group Meeting held?
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Correct answer: (B) Srinagar (Jammu and Kashmir) Under India's G20 Presidency the Tourism Working Group Meeting was held at Srinagar in Jammu and Kashmir.
1 marks · 2023 · Set A
Question 20
Who won the silver medal in the National Under-17 Girls Wrestling Championship?
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Correct answer: (B) Nirjala
1 marks · 2023 · Set A
Question 21
Who won the 2022 International Booker Prize for the novel Tomb of Sand?
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Correct answer: (A) Geetanjali Shree and Daisy Rockwell
1 marks · 2023 · Set A
Question 22
Who was the Chief Guest on India’s 74th Republic Day?
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Correct answer: (B) Abdel Fattah El-Sisi
1 marks · 2023 · Set A
Question 23
In which district of Bihar was the first floating solar power plant built?
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Correct answer: (A) Darbhanga
1 marks · 2023 · Set A
Question 24
Which of the following has received a GI Tag in Bihar?
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Correct answer: (A) Maghai Paan Maghai Paan of Bihar carries a Geographical Indication tag, which marks a product as belonging to a particular place by its qualities and reputation.
1 marks · 2023 · Set A
Question 25
Match List I with List II: List I: a. Char, b. Kankar, c. Kayal, d. Mand. List II: 1. Punjab plain, 2. Delta, 3. Bangar, 4. Coastal plain. Select the correct answer using the codes below.
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Correct answer: (B) a-2, b-3, c-4, d-1
1 marks · 2023 · Set A
Question 26
Which of the following tributaries does not join the Brahmaputra River from the north?
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Correct answer: (E) None of the above
1 marks · 2023 · Set A
Question 27
Likhapani Glacier is located in which Indian state?
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Correct answer: (A) Arunachal Pradesh
1 marks · 2023 · Set A
Question 28
The Magadha and Anga plains are parts of the
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Correct answer: (B) Middle Ganga Plain
1 marks · 2023 · Set A
Question 29
Which of the following waterfall–river pairs is not correctly matched?
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Correct answer: (D) More than one of the above
1 marks · 2023 · Set A
Question 30
Arrange these Indian seaports from north to south: 1. Kakinada, 2. Machilipatnam, 3. Nagapattinam, 4. Visakhapatnam. Select the correct answer using the codes below.
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Correct answer: (B) 4, 1, 2, 3
1 marks · 2023 · Set A
Question 31
The 1954 Agreement of Kosi Irrigation and Hydroelectricity Plan was signed between which two countries?
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Correct answer: (C) India and Nepal
1 marks · 2023 · Set A
Question 32
According to R. L. Singh’s classification scheme, in which climatic division does Bihar fall?
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Correct answer: (B) Subhumid transitional
1 marks · 2023 · Set A
Question 33
At which session of the Indian National Congress was the resolution of ‘Purna Swaraj’ adopted?
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Correct answer: (B) Lahore Session, 1929
1 marks · 2023 · Set A
Question 34
What was an initial objective of the Kuka Movement in Punjab?
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Correct answer: (A) To purify the Sikh religion
1 marks · 2023 · Set A
Question 35
Who described the Revolt of 1857 as the ‘First Indian War of Independence’?
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Correct answer: (A) V. D. Savarkar Vinayak Damodar Savarkar, in his book ‘The Indian War of Independence, 1857’, called the revolt India's first war of independence. R. C. Majumdar disagreed with that view.
1 marks · 2023 · Set A
Question 36
Where was the first instance of organized non-cooperation in the history of Indian peasantry held?
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Correct answer: (A) Bihar and Bengal
1 marks · 2023 · Set A
Question 37
Which portfolio did Dr. Rajendra Prasad hold in the Interim Government of 1946?
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Correct answer: (C) Food and Agriculture
1 marks · 2023 · Set A
Question 38
Who particularly urged Gandhiji to visit Champaran to witness the miseries of the ryots?
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Correct answer: (B) Rajkumar Shukla
1 marks · 2023 · Set A
Question 39
On what date did the Muslim League observe the ‘Day of Deliverance’?
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Correct answer: (A) 22 December 1939
1 marks · 2023 · Set A
Question 40
Who laid the foundation stone of National College and Bihar Vidyapeeth?
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Correct answer: (C) Mahatma Gandhi The foundation stone of the National College and of Bihar Vidyapeeth was laid by Mahatma Gandhi—both were national institutions of education set up during the Non-Cooperation Movement.
1 marks · 2023 · Set A
Question 41
A rocket set for vertical firing weighs 50 kg and contains 450 kg of fuel. Its maximum exhaust velocity is 5 km/s. What should be its minimum fuel-consumption rate to just lift it off the launching pad?
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Correct answer: (A) 0.98 kg/s
1 marks · 2023 · Set A
Question 42
Consider circular orbits in the central-force potential V(r)=−k/rⁿ, where k>0 and 0<n<2. If the periods of circular orbits of radii R and 2R are T₁ and T₂ respectively, what is T₂/T₁?
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Correct answer: (C) 2^(n/2+1)
1 marks · 2023 · Set A
Question 43
What is the ratio of the total kinetic energies in the laboratory system (Tₗ) and centre-of-mass system (T꜀) in scattering with a projectile of mass m₁ and target of mass m₂?
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Correct answer: (B) (m₁+m₂):m₂
1 marks · 2023 · Set A
Question 44
For a fixed instant of time, a space curve is drawn everywhere tangent to the velocity vector in a fluid flow. What is this curve usually called?
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Correct answer: (C) Streamline
1 marks · 2023 · Set A
Question 45
Two boxes A and B contain equal numbers of molecules of the same gas. Their volumes are Vₐ and Vᵦ, and their respective mean free paths are λₐ and λᵦ. Which relation is correct?
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Correct answer: (B) λₐ/Vₐ = λᵦ/Vᵦ
1 marks · 2023 · Set A
Question 46
Which of the following is not a characteristic of Planck’s black-body radiation distribution?
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Correct answer: (A) As temperature increases, the peak of the curve shifts towards higher wavelength.
1 marks · 2023 · Set A
Question 47
In an interference pattern produced by two identical slits, the intensity at a maximum is I. If either slit is closed, the intensity at the same spot is I₀. What is the relation between I and I₀?
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Correct answer: (C) I = 4I₀
1 marks · 2023 · Set A
Question 48
Light of wavelength 600 nm is incident on a single slit. The first diffraction minimum is 4 mm from the centre, and the screen is 2 m from the slit. What is the slit width?
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Correct answer: (B) 0.3 mm
1 marks · 2023 · Set A
Question 49
At what angle of incidence does plane-polarized light with a quarter-wave plate become circularly polarized?
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Correct answer: (B) 45°
1 marks · 2023 · Set A
Question 50
If a wave has group velocity 2×10⁸ m/s, what is its phase velocity?