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1. A
   Delhi and Kalka
2. B
   Bengaluru and Coimbatore
3. C
   Chennai and Visakhapatnam
4. D
   Chennai and Bengaluru

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1. A
   Vijay Kumar and Yogeshwar Dutt
2. B
   Sakshi Malik and Jitu Rai
3. C
   Virat Kohli and Mirabai Chanu
4. D
   Bajrang Punia and Deepa Malik

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1. A
   Andhra Pradesh
2. B
   Madhya Pradesh
3. C
   Kerala
4. D
   Mizoram

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1. A
   Ministry of Textiles
2. B
   Ministry of Agriculture and Farmers Welfare
3. C
   Ministry of Skill Development and Entrepreneurship
4. D
   Ministry of Human Resource Development

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1. A
   National Security Guard
2. B
   Central Industrial Security Force
3. C
   Railway Protection Force
4. D
   Central Reserve Police Force

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1. A
   It was a system of revenue farming.
2. B
   It encouraged the role of middlemen.
3. C
   Under this system, land revenue was fixed for the peasant.
4. D
   The ijaradar paid a fixed amount to the State treasury.

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1. A
   Rabindranath Tagore
2. B
   Aurobindo Ghosh
3. C
   Rajani Kant Sen
4. D
   Syed Abu Mohammad

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1. A
   James Prinsep
2. B
   Colin Mackenzie
3. C
   James Rennell
4. D
   Charles Metcalfe

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1. A
   Russia
2. B
   Prussia
3. C
   Sweden
4. D
   France

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1. A
   Ibn Battuta – Moroccan
2. B
   Duarte Barbosa – Portuguese
3. C
   Jean Baptiste Tavernier – Dutch
4. D
   Niccolao Manucci – Venetian

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1. A
   26th June
2. B
   17th July
3. C
   19th August
4. D
   27th September

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1. A
   Vigyan
2. B
   Anusandhan
3. C
   Pragyan
4. D
   Vikram

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1. A
   One
2. B
   Two
3. C
   Three
4. D
   Four

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1. A
   Badminton
2. B
   Boxing
3. C
   Motorsports
4. D
   Chess

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1. A
   Bulbul Can Sing
2. B
   Hellaro
3. C
   Badhaai Ho
4. D
   Uri

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1. A
   The relation is an equivalent relation
2. B
   The relation is not reflexive but it is symmetric and transitive
3. C
   The relation is not symmetric but it is reflexive and transitive
4. D
   The relation is not transitive but it is reflexive and symmetric

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1. A
   45
2. B
   120
3. C
   165
4. D
   330

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1. A
   0
2. B
   1
3. C
   $i$
4. D
   $-i$

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1. A
   $(-3, -2] \cup [2, 3)$
2. B
   $(-3, 3)$
3. C
   $[-3, -2] \cup [2, 3]$
4. D
   None of the above

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1. A
   $p^2 m = l^2 q$
2. B
   $m^2 p = l^2 q$
3. C
   $m^2 p - q^2 l$
4. D
   $m^2 p^2 = l^2 q$

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1. A
   $1$
2. B
   $-1$
3. C
   $i$
4. D
   $-i$

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1. A
   1233
2. B
   1322
3. C
   1323
4. D
   1332

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1. A
   $\dfrac{1}{3}\left[n - \dfrac{1}{9}\left(1 - \dfrac{1}{10^n}\right)\right]$
2. B
   $\dfrac{1}{3}\left[n - \dfrac{2}{9}\left(1 - \dfrac{1}{10^n}\right)\right]$
3. C
   $\dfrac{1}{3}\left[n - \dfrac{1}{3}\left(1 - \dfrac{1}{10^n}\right)\right]$
4. D
   $\dfrac{1}{3}\left[n - \dfrac{1}{9}\left(1 + \dfrac{1}{10^n}\right)\right]$

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1. A
   $-2$
2. B
   $-1$
3. C
   $0$
4. D
   $2$

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1. A
   $mn$
2. B
   $m+n$
3. C
   $2(m+n)$
4. D
   $-(m+n)$

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