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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”.

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Question 51
Who was recently selected as the ICC Women’s T20I Cricketer of the Year 2023?
See answer

Correct answer: (C) Hayley Matthews (West Indies)
The ICC Women's T20I Cricketer of the Year for 2023 was Hayley Matthews of the West Indies, an all-rounder effective with both bat and ball.

1 marks · 2024 · Set E
Question 52
Who was crowned Miss World 2024 in Mumbai?
See answer

Correct answer: (A) Miss Czech Kristina Piskova

1 marks · 2024 · Set E
Question 53
In which country will the Clean Energy Investor Forum be organised by IPEF?
See answer

Correct answer: (B) Singapore
The Clean Energy Investor Forum of the Indo-Pacific Economic Framework (IPEF) was held in Singapore.

1 marks · 2024 · Set E
Question 54
India has acquired the right to operate the foreign Sittwe Port. In which country is it?
See answer

Correct answer: (C) Myanmar
Sittwe port is in the Rakhine province of Myanmar, and India has got the right to operate it. It is part of the Kaladan project, which will link north-east India to the sea.

1 marks · 2024 · Set E
Question 55
What is the mangrove forest of the Ganga Delta called?
See answer

Correct answer: (A) Sunderban
The tidal forests of the Ganga–Brahmaputra delta are called the Sundarbans, named after the sundari tree. They are also a famous home of the tiger.

1 marks · 2024 · Set E
Question 56
Which river in Bihar frequently changes its course?
See answer

Correct answer: (B) Kosi

1 marks · 2024 · Set E
Question 57
Plant roots get water from the soil as:
See answer

Correct answer: (C) Capillary water

1 marks · 2024 · Set E
Question 58
How much larger is the equatorial diameter than the polar diameter?
See answer

Correct answer: (B) 43 km
The Earth is flattened at the poles, so its equatorial diameter is about 43 kilometres greater than the polar. That is why the Earth is called an oblate spheroid rather than a perfect sphere.

1 marks · 2024 · Set E
Question 59
At which longitude is Indian Standard Time (IST) taken?
See answer

Correct answer: (A) 82.5° E
Indian Standard Time is taken at 82°30′ E longitude, which passes near Mirzapur in Uttar Pradesh and is 5 hours 30 minutes ahead of Greenwich.

1 marks · 2024 · Set E
Question 60
In India, to whom is the ‘Green Revolution’ credited?
See answer

Correct answer: (B) Dr. M. S. Swaminathan

1 marks · 2024 · Set E
Question 61
The highest mountain peak of India is known as:
See answer

Correct answer: (B) Kanchenjunga
The highest peak within India's own borders is Kanchenjunga (8,586 m). Everest stands on the Nepal–China border and K-2 in Pakistan-occupied Kashmir, so neither counts as an Indian peak.

1 marks · 2024 · Set E
Question 62
The Indian continent was earlier part of:
See answer

Correct answer: (A) Gondwanaland

1 marks · 2024 · Set E
Question 63
Who led the Revolt of 1857 in Bihar?
See answer

Correct answer: (B) Kunwar Singh
The 1857 revolt in Bihar was led by Kunwar Singh of Jagdishpur, who took on the British at the age of eighty. Tatya Tope and Nana Saheb were active in central India.

1 marks · 2024 · Set E
Question 64
The spiritual side of nationalism was voiced by:
See answer

Correct answer: (C) Swami Vivekananda
Swami Vivekananda gave nationalism a spiritual ground, seeing India's soul in its culture and religion. His ideas awakened self-respect among the young.

1 marks · 2024 · Set E
Question 65
Which newspaper propagated strong nationalist views during India’s freedom struggle?
See answer

Correct answer: (B) Amrita Bazar Patrika

1 marks · 2024 · Set E
Question 66
Who intervened in the dispute between the workers and mill owners of Ahmedabad in 1918?
See answer

Correct answer: (B) Mahatma Gandhi

1 marks · 2024 · Set E
Question 67
Name the left-wing leader of the Bihar Provincial Kisan Sabha who popularised it in Bihar.
See answer

Correct answer: (A) Karyanand Sharma
The left-wing leader Karyanand Sharma did the most to turn the Bihar Provincial Kisan Sabha into a mass movement, organising the peasants of the Munger region.

1 marks · 2024 · Set E
Question 68
The Muddiman Committee was appointed to report on the working of:
See answer

Correct answer: (A) Dyarchy
The Muddiman Committee was appointed in 1924 to examine the working of the dyarchy introduced by the Act of 1919.

1 marks · 2024 · Set E
Question 69
“He was a great unifier in India who taught us not only bare tolerance of others but the willing acceptance of them as our friends and comrades in common undertakings.” Who said it?
See answer

Correct answer: (C) Rajendra Prasad
The remark is about Dr Rajendra Prasad, who taught not bare tolerance but the willing acceptance of others. He was India's first President.

1 marks · 2024 · Set E
Question 70
Who proceeded to organise the Provisional Government of Free India outside the country?
See answer

Correct answer: (C) Subhash Chandra Bose
The Provisional Government of Free India—the Azad Hind government—was proclaimed by Subhas Chandra Bose at Singapore on 21 October 1943. The government Raja Mahendra Pratap set up at Kabul in 1915 was called the Provisional Government of India, and Rash Behari Bose built the Indian Independence League and the INA, whose leadership he later handed to Subhas Chandra Bose.

1 marks · 2024 · Set E
Question 71
The value of x that satisfies xˣ = 7x + 49 is:
See answer

Correct answer: (E) None of the above

1 marks · 2024 · Set E
Question 72
The quadratic equation whose roots are the reciprocals of the roots of ax² + bx + c = 0 is:
See answer

Correct answer: (A) cx² + bx + a = 0

1 marks · 2024 · Set E
Question 73
The remainder when x²⁵ + 1 is divided by x + 1 is:
See answer

Correct answer: (A) 0

1 marks · 2024 · Set E
Question 74
The sum of all the integers from 21 to 100 is:
See answer

Correct answer: (C) 4840

1 marks · 2024 · Set E
Question 75
The value of 9⁶⁴ / 0.04 is:
See answer

Correct answer: (E) None of the above

1 marks · 2024 · Set E
Question 76
a³ − b³ is equal to:
See answer

Correct answer: (B) (a − b)³ + 3ab(a − b)

1 marks · 2024 · Set E
Question 77
If the equation x² + x(2x − m) + 12 = 0 has equal and real roots, then the value of m is:
See answer

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

1 marks · 2024 · Set E
Question 78
The rational number in the set {∛3, ³√2, 4, ¹²√7} is:
See answer

Correct answer: (A) 4

1 marks · 2024 · Set E
Question 79
The HCF of 2x³ + 2x, x² + 1, and x⁴ − 1 is:
See answer

Correct answer: (B) x² + 1

1 marks · 2024 · Set E
Question 80
If (x + y)/(x − y) = 3, then the value of x/y is:
See answer

Correct answer: (B) 2/1

1 marks · 2024 · Set E
Question 81
The value of sin² 40° + sin² 50° is:
See answer

Correct answer: (A) 1

1 marks · 2024 · Set E
Question 82
The value of sin x · sin(2π + x) · sin(4π + x) · … · sin(2nπ + x) is:
See answer

Correct answer: (E) None of the above

1 marks · 2024 · Set E
Question 83
The shadow of a 100-metre-long tower is 100√3 metres. The angle between the shadow and the upper end of the tower is:
See answer

Correct answer: (C) 30°

1 marks · 2024 · Set E
Question 84
The cosine of the sum of an angle and its supplementary angle is:
See answer

Correct answer: (C) −1

1 marks · 2024 · Set E
Question 85
The value of cos²θ/sin θ + sin θ is:
See answer

Correct answer: (B) cosec θ

1 marks · 2024 · Set E
Question 86
The value of (1 − sin θ)/(1 + sin θ) is equal to:
See answer

Correct answer: (E) None of the above

1 marks · 2024 · Set E
Question 87
If cos 50° = 0.6428, then the value of sin 40° is:
See answer

Correct answer: (C) 0.6428

1 marks · 2024 · Set E
Question 88
The value of (cos 90° + sin 0°)/cot 30° is:
See answer

Correct answer: (B) 0

1 marks · 2024 · Set E
Question 89
If sin A + sin² A = 1, then cos 2A + cos 4A is:
See answer

Correct answer: (E) None of the above

1 marks · 2024 · Set E
Question 90
The value of sin² 30° + 2 tan² 60° − 5 cos 45° is:
See answer

Correct answer: (E) None of the above

1 marks · 2024 · Set E
Question 91
If the median and mean of a frequency distribution are 28 and 30 respectively, then the mode is:
See answer

Correct answer: (A) 24

1 marks · 2024 · Set E
Question 92
The probability of choosing a natural number divisible by 2 and 3 from the set of natural numbers is:
See answer

Correct answer: (A) 1/6

1 marks · 2024 · Set E
Question 93
The relation between AM, GM and HM is:
See answer

Correct answer: (A) AM > GM > HM

1 marks · 2024 · Set E
Question 94
The mean of the squares of the first n natural numbers is:
See answer

Correct answer: (C) (n + 1)(2n + 1)/6

1 marks · 2024 · Set E
Question 95
The probability of getting six different faces by throwing six dice is:
See answer

Correct answer: (A) 6!/6⁶

1 marks · 2024 · Set E
Question 96
If a coin is tossed twice, the probability of getting at most one head is:
See answer

Correct answer: (B) 3/4

1 marks · 2024 · Set E
Question 97
A husband and wife appear in an interview for two vacancies in the same post. The probability of the husband’s selection is 1/7 and that of the wife’s selection is 1/5. The probability that both are selected is:
See answer

Correct answer: (B) 1/35

1 marks · 2024 · Set E
Question 98
The mode of the set of values 11, 13, 15, 13, 17, 19, 17 is:
See answer

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

1 marks · 2024 · Set E
Question 99
The probability that A solves a problem is 1/2 and that of B is 2/3. The probability that the problem is solved is:
See answer

Correct answer: (C) 5/6

1 marks · 2024 · Set E
Question 100
The median of the data 3, 7, 2, 5, 7, 1, 9, 6, 5 is:
See answer

Correct answer: (A) 5

1 marks · 2024 · Set E
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