← Question papers

TRE3 — Language General Studies And Mathematics

· Set E

GS: Hindi / English · Language questions stay in their original language.

Instructions

150 questions · 150 marks · 2 hours 30 minutes

Choose one option per question.

Tap an option to check it, or open “See answer”.

Page 2 / 3
← Previous pageNext page →
Question 51
The process involved in achieving green hydrogen is:
See answer

Correct answer: (A) Electrolysis
Green hydrogen is made by the electrolysis of water using renewable electricity—the water splits into H₂ and O₂. Since the power comes from the sun or the wind, there is no carbon emission.

1 marks · 2024 · Set E
Question 52
Which technology can be used to revive deceased individuals?
See answer

Correct answer: (A) Deepfake
Deepfake technology copies a person's face, voice and manner closely enough to make a video in which even someone dead can be shown speaking. AI is the wider field, and a chatbot is only a program that converses.

1 marks · 2024 · Set E
Question 53
In the 2024 cost-of-living index, which country ranks better than India?
See answer

Correct answer: (B) Pakistan
On the cost-of-living index of 2024, Pakistan among the countries given was placed better than India.

1 marks · 2024 · Set E
Question 54
Who supported Gandhiji in the 1917 Champaran Satyagraha in support of farmers?
See answer

Correct answer: (B) Rajendra Prasad
Rajendra Prasad was foremost among those who stood with Gandhiji in the Champaran Satyagraha of 1917; he later became India's first President. The movement was for peasants forced to grow indigo.

1 marks · 2024 · Set E
Question 55
Which is the moon-like planet?
See answer

Correct answer: (A) Mercury
Mercury's surface is pitted with craters like the Moon's and it has almost no atmosphere of its own, which is why it is called the moon-like planet. Mars has a thin atmosphere and the Earth a dense one.

1 marks · 2024 · Set E
Question 56
On the basis of fossils, what is the place of origin of man?
See answer

Correct answer: (A) Rift Valley of Africa
On the evidence of fossils the place of man's origin is taken to be the Rift Valley of Africa, where the oldest remains of early humans have been found.

1 marks · 2024 · Set E
Question 57
In India, dry-point settlement is found in:
See answer

Correct answer: (A) Flood-prone area
Dry-point settlements grow where there is a danger of flood—people choose the higher, drier spots, such as the mounds in river valleys, to build on.

1 marks · 2024 · Set E
Question 58
In which district of Bihar is paddy production maximum?
See answer

Correct answer: (B) Rohtas
Rohtas district grows the most paddy in Bihar and is called the state's rice bowl. The irrigation from the Son canal is the main reason.

1 marks · 2024 · Set E
Question 59
On which mountain is Tehran situated?
See answer

Correct answer: (A) Alborz
Tehran, the capital of Iran, lies at the foot of the Alburz range.

1 marks · 2024 · Set E
Question 60
The highest peak in India's Eastern Ghats is:
See answer

Correct answer: (C) Mahendragiri
The highest peak of the Eastern Ghats is taken to be Mahendragiri, in Odisha. Anai Mudi belongs to the Western Ghats and Kanchenjunga to the Himalaya.
इस प्रति में उत्तर 'इनमें से कोई नहीं' दर्ज था, जबकि वही प्रश्न दूसरे प्रश्नपत्रों में महेंद्रगिरि उत्तर देता है। TRE3 की कोई उत्तर-कुंजी नहीं है, इसलिए सभी प्रतियों में एक ही उत्तर रखा गया है। ध्यान रखिए कि आंध्र प्रदेश की अरमा कोंडा चोटी महेंद्रगिरि से ऊँची है, पर पाठ्यपुस्तकों में इस प्रश्न का उत्तर महेंद्रगिरि ही दिया जाता है।

1 marks · 2024 · Set E
Question 61
Which is not a valid reason for depletion of flora and fauna?
See answer

Correct answer: (E) None of the above

1 marks · 2024 · Set E
Question 62
In which district of Bihar is silk textile production maximum?
See answer

Correct answer: (B) Bhagalpur
Bhagalpur produces the most silk cloth in Bihar and is called the Silk City; its tussar silk is especially well known.

1 marks · 2024 · Set E
Question 63
Who was the viceroy of India during the Jallianwala Bagh massacre?
See answer

Correct answer: (B) Lord Chelmsford
The Jallianwala Bagh massacre took place at Amritsar on 13 April 1919, when Lord Chelmsford was Viceroy. Lord Curzon (1899–1905) is remembered for the partition of Bengal and Lord Irwin (1926–31) for the Gandhi-Irwin Pact.

1 marks · 2024 · Set E
Question 64
The first President of the Indian National Congress was:
See answer

Correct answer: (B) W. C. Bonnerjee
The first session of the Indian National Congress was held at Bombay in 1885 and its first President was W. C. Bonnerjee. Dadabhai Naoroji presided three times later.

1 marks · 2024 · Set E
Question 65
Who is also known as the Grand Old Man of India?
See answer

Correct answer: (B) Dadabhai Naoroji
Dadabhai Naoroji is called the Grand Old Man of India. With his theory of the drain of wealth he showed that British rule was carrying India's wealth away.

1 marks · 2024 · Set E
Question 66
Which of the following movements was started by M. K. Gandhi?
See answer

Correct answer: (D) More than one of the above
The Quit India Movement (1942) and the Non-Cooperation Movement (1920) were both begun by Mahatma Gandhi. The Swadeshi Movement started in 1905 against the partition of Bengal, before Gandhiji had even returned to India. So more than one option is correct.

1 marks · 2024 · Set E
Question 67
Who was the leader of the Bardoli Satyagraha?
See answer

Correct answer: (A) Sardar Vallabhbhai Patel
The Bardoli Satyagraha of 1928 was led by Vallabhbhai Patel. After that successful stand against the raised land revenue, the women there gave him the title ‘Sardar’.

1 marks · 2024 · Set E
Question 68
Who among the following was not associated with the Home Rule Movement?
See answer

Correct answer: (E) None of the above
Annie Besant, Bal Gangadhar Tilak and Sarojini Naidu were all associated with the Home Rule Movement, so ‘None of the above’ is the answer.

1 marks · 2024 · Set E
Question 69
Who founded the Bihar Provincial Congress Committee in 1920?
See answer

Correct answer: (A) Dr. Rajendra Prasad
The Bihar Provincial Congress Committee was founded in 1920 by Dr Rajendra Prasad, later the first President of India. Anugrah Narayan Sinha was his colleague, and Jayaprakash Narayan of a later generation.

1 marks · 2024 · Set E
Question 70
The All India Kisan Sabha (AIKS) was founded in Bihar in 1936 under whose leadership?
See answer

Correct answer: (C) Swami Sahajanand Saraswati
The All India Kisan Sabha was founded at Lucknow in 1936 with Swami Sahajanand Saraswati as its first president; he had built the peasant movement up from Bihar.

1 marks · 2024 · Set E
Question 71
If A is any square matrix, then A + A′ is always:
See answer

Correct answer: (A) Symmetric

1 marks · 2024 · Set E
Question 72
If A is an m×n matrix and B is a p×q matrix, and their product A·B is defined as an m×q matrix, which is true?
See answer

Correct answer: (C) n = p

1 marks · 2024 · Set E
Question 73
If A = [[1, 2], [−1, 1]], then the value of A² − 2A + 2I is:
See answer

Correct answer: (C) −I

1 marks · 2024 · Set E
Question 74
The vectors (1, 0, 0), (0, 1, −1), and (0, 1, 2) are:
See answer

Correct answer: (B) Linearly independent

1 marks · 2024 · Set E
Question 75
For Δ₁ = [[2,0,0],[3,4,0],[5,6,8]] and Δ₂ = [[4,4,8],[0,8,2],[0,0,2]], which option is correct?
See answer

Correct answer: (C) Δ₁ = Δ₂

1 marks · 2024 · Set E
Question 76
The set of square matrices of the same order follows which laws?
See answer

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

1 marks · 2024 · Set E
Question 77
If A is a set of n elements, the number of all subsets of A is:
See answer

Correct answer: (C) 2ⁿ

1 marks · 2024 · Set E
Question 78
If α + β = π, what is (cos α + i sin α)(cos β + i sin β)?
See answer

Correct answer: (C) −1

1 marks · 2024 · Set E
Question 79
If f: ℝ→ℝ is defined by f(x)=2x+1 for all x∈ℝ, then f is:
See answer

Correct answer: (B) One-one and onto

1 marks · 2024 · Set E
Question 80
If f: ℝ→ℝ is defined by f(x)=x−2 for all x∈ℝ, which element satisfies the relation?
See answer

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

1 marks · 2024 · Set E
Question 81
A quadratic equation has sum of roots 5 and product 6. The equation is:
See answer

Correct answer: (A) x² − 5x + 6 = 0

1 marks · 2024 · Set E
Question 82
If a+ib is a root of a polynomial f(x), then f(a−ib) is:
See answer

Correct answer: (E) None of the above

1 marks · 2024 · Set E
Question 83
The quadratic equation whose roots are the reciprocals of the roots of x²−2x+3=0 is:
See answer

Correct answer: (E) None of the above

1 marks · 2024 · Set E
Question 84
The number of positive roots of x³−3x²+x−3=0 is:
See answer

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

1 marks · 2024 · Set E
Question 85
The solution of the congruence 2x ≡ 1 (mod 7) is:
See answer

Correct answer: (A) 4

1 marks · 2024 · Set E
Question 86
If [·] denotes the greatest integer function, the value of [5·7] + [3·2] is:
See answer

Correct answer: (C) 8

1 marks · 2024 · Set E
Question 87
The greatest common divisor of f(x)=x³−12x²+47x−60 and g(x)=x²−5x+6 is:
See answer

Correct answer: (C) x−3

1 marks · 2024 · Set E
Question 88
If a divided by p leaves remainder 5, then the remainder when a² is divided by p is:
See answer

Correct answer: (B) 25

1 marks · 2024 · Set E
Question 89
Two numbers are in the ratio 2:3. If the product of their LCM and HCF is 294, the numbers are:
See answer

Correct answer: (B) 14, 21

1 marks · 2024 · Set E
Question 90
Which of the following is a set?
See answer

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

1 marks · 2024 · Set E
Question 91
If A and B are two non-empty sets, which option is correct?
See answer

Correct answer: (A) A−B = A∩Bᶜ

1 marks · 2024 · Set E
Question 92
If A={1,2,3} and B={4,5,6}, the number of possible functions from A to B is:
See answer

Correct answer: (C) 27

1 marks · 2024 · Set E
Question 93
The value of limₓ→₀ (e²ˣ−1)/(5x) is:
See answer

Correct answer: (C) 2/5

1 marks · 2024 · Set E
Question 94
The value of limₓ→₀ (log sin 2x)/(log sin x) is:
See answer

Correct answer: (A) 1

1 marks · 2024 · Set E
Question 95
Which is not differentiable at x=1?
See answer

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

1 marks · 2024 · Set E
Question 96
The derivative of xˣ with respect to x is:
See answer

Correct answer: (A) xˣ(1+logₑx)

1 marks · 2024 · Set E
Question 97
The value of ∫₋₁¹ sin⁵x·cos⁴x dx is:
See answer

Correct answer: (C) 0

1 marks · 2024 · Set E
Question 98
The value of ∫₀^(π/2) sin x/(sin x+cos x) dx is:
See answer

Correct answer: (A) π/4

1 marks · 2024 · Set E
Question 99
The value of ∫√(1+sin x) dx is:
See answer

Correct answer: (C) 2(sin(x/2)−cos(x/2))

1 marks · 2024 · Set E
Question 100
The area enclosed by the circle x²+y²=16 in the first quadrant is:
See answer

Correct answer: (E) None of the above

1 marks · 2024 · Set E
Page 2 / 3
← Previous pageNext page →