UPSC CISF-AC-EXE

21. How many times will the digit 5 come in counting from 1 to 99, excludi

How many times will the digit 5 come in counting from 1 to 99, excluding those numbers which are divisible by 3 ?

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16
15
14
13
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The digit 5 comes 16 times in counting from 1 to 99, excluding those numbers which are divisible by 3.
First, count the total occurrences of the digit 5 from 1 to 99. The digit 5 appears in the units place in 5, 15, 25, 35, 45, 55, 65, 75, 85, 95 (10 times). It appears in the tens place in 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 (10 times). The number 55 contains the digit 5 twice. So, the digit 5 appears a total of 10 + 10 = 20 times.
Next, identify the numbers between 1 and 99 that contain the digit 5 and are divisible by 3. These numbers are:
– 15 (1+5=6, divisible by 3) – contains one 5
– 45 (4+5=9, divisible by 3) – contains one 5
– 51 (5+1=6, divisible by 3) – contains one 5
– 54 (5+4=9, divisible by 3) – contains one 5
– 57 (5+7=12, divisible by 3) – contains one 5
– 75 (7+5=12, divisible by 3) – contains one 5
These are 6 numbers. Let’s count the occurrences of the digit 5 *within* these numbers: 15 (one 5), 45 (one 5), 51 (one 5), 54 (one 5), 57 (one 5), 75 (one 5). Total occurrences of 5 in these numbers are 6.
The numbers containing 5 are: 5, 15, 25, 35, 45, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 65, 75, 85, 95.
The numbers from this list that are divisible by 3 are: 15, 45, 51, 54, 57, 75.
We need to count the 5s in the numbers *not* divisible by 3: 5, 25, 35, 50, 52, 53, 55, 56, 58, 59, 65, 85, 95.
Counting the 5s in this remaining list:
5 (one 5), 25 (one 5), 35 (one 5), 50 (one 5), 52 (one 5), 53 (one 5), 55 (two 5s), 56 (one 5), 58 (one 5), 59 (one 5), 65 (one 5), 85 (one 5), 95 (one 5).
Total count = 1 + 1 + 1 + 1 + 1 + 1 + 2 + 1 + 1 + 1 + 1 + 1 + 1 = 16.
The key is to correctly identify which numbers containing 5 are excluded (those divisible by 3) and then count the 5s in the remaining set of numbers that contain the digit 5.

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22. At 8:30 am, the angle between the minute and hour hands is

At 8:30 am, the angle between the minute and hour hands is

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70°
75°
80°
85°
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At 8:30 am, the angle between the minute and hour hands is 75°.
The relative speed of the hour hand and minute hand needs to be considered.
– The hour hand moves 360° in 12 hours, or 30° per hour, or 0.5° per minute.
– The minute hand moves 360° in 60 minutes, or 6° per minute.
– At 8:30:
– The minute hand is exactly on the number 6, which corresponds to 30 minutes past 12. Its position from the 12 o’clock mark is 30 minutes * 6°/minute = 180°.
– The hour hand is past the number 8, halfway between 8 and 9. Its position from the 12 o’clock mark is calculated based on the hours (8) and the minutes (30). The position is (8 hours * 30°/hour) + (30 minutes * 0.5°/minute) = 240° + 15° = 255°.
– The angle between the hands is the absolute difference between their positions: |255° – 180°| = 75°.
A useful formula for finding the angle between hour and minute hands is |30H – (11/2)M|, where H is the hour and M is the minute. For 8:30 am, H=8, M=30. Angle = |30*8 – (11/2)*30| = |240 – 11*15| = |240 – 165| = 75°.

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23. Which one of the following periods in the history of Indian planning h

Which one of the following periods in the history of Indian planning has not been a period of Annual Plans ?

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1966 – 69
1979 – 80
1990 – 92
1992 – 97
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The period 1992 – 97 has not been a period of Annual Plans.
Indian Five-Year Plans were sometimes interrupted or delayed, leading to periods of Annual Plans.
– 1966-69: After the Third Five-Year Plan (1961-66), the Fourth Plan was delayed due to economic recession, war, and inflation, leading to three Annual Plans from 1966 to 1969.
– 1979-80: The Janata Government terminated the Fifth Five-Year Plan (1974-79) a year early and attempted a Sixth Plan (1978-83). Political instability led to the collapse of the government, and the new Congress government launched a new Sixth Plan from 1980-85, with 1979-80 effectively becoming an Annual Plan period.
– 1990-92: Due to rapid political changes at the center and the onset of a major economic crisis, the Eighth Five-Year Plan could not start on time in 1990. Two Annual Plans were implemented for 1990-91 and 1991-92.
– 1992-97: This period corresponds to the Eighth Five-Year Plan, which was successfully implemented after the economic reforms were initiated.
Annual Plans are usually implemented when a Five-Year Plan is suspended, delayed, or terminated prematurely due to political or economic reasons. The period 1992-97 marks the tenure of the Eighth Five-Year Plan, which completed its full term.

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24. Which one among the following temples is the earliest in time ?

Which one among the following temples is the earliest in time ?

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The Sun Temple at Martand
The Jandial Temple
The Gupta Temple at Deogarh
The Kailasanatha Temple at Kanchipuram
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The Jandial Temple is the earliest temple among the given options.
– The Jandial Temple, located near Taxila (present-day Pakistan), is a well-preserved temple complex built in the Hellenistic style, featuring Ionic columns. It is generally dated to the Indo-Greek period, around the late 2nd or early 1st century BCE.
– The Gupta Temple at Deogarh (Dashavatara Temple) is a prime example of Gupta period architecture, typically dated to the late 5th or early 6th century CE.
– The Sun Temple at Martand in Kashmir was built by King Lalitaditya Muktapida of the Karkota dynasty in the 8th century CE (around 725-753 CE).
– The Kailasanatha Temple at Kanchipuram was built by the Pallava king Narasimhavarman II (Rajasimha) around the early 8th century CE (circa 700-728 CE).
Comparing the dates, the Jandial Temple (2nd-1st century BCE) is significantly earlier than the others, which belong to the Gupta or post-Gupta periods (5th century CE onwards).
The Jandial temple’s architecture reflects the cultural synthesis that occurred in the Gandhara region due to the interaction of Indian and Hellenistic influences. It represents a unique example of a structure resembling classical Greek temples on the Indian subcontinent.

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25. Which one of the following prompted the Mughals to enter into trade ne

Which one of the following prompted the Mughals to enter into trade negotiations with the English in the early 17th century?

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The English victory over the Portuguese fleet off Swally in 1612
The gifts sent by the English king to the Mughal emperor
The diplomatic skills of William Hawkins
The skills of Sir Thomas Roe
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The English victory over the Portuguese fleet off Swally in 1612 prompted the Mughals to enter into trade negotiations with the English.
The Portuguese held a dominant position in maritime trade on the west coast of India in the early 17th century and were hostile to other European powers. When the English East India Company ship, the *Hector*, under William Hawkins, arrived at Surat in 1608 seeking permission for trade, the Portuguese actively obstructed their efforts. The English victory over the Portuguese fleet at the Battle of Swally (or Suvali) near Surat in November 1612 was a crucial turning point. This naval defeat demonstrated the English’s superior fighting capabilities and broke the perception of Portuguese invincibility at sea, impressing the Mughal authorities in Surat and the Emperor Jahangir. It convinced the Mughals that the English could be effective partners and rivals to the Portuguese, opening the door for formal trade agreements.
While diplomatic efforts by figures like William Hawkins and later Sir Thomas Roe (who arrived in 1615 and successfully secured a trade treaty) were important, the tangible demonstration of military strength at Swally was the key event that significantly altered the Mughal calculus and paved the way for sustained negotiations and the establishment of English factories. Gifts were common diplomatic tools but not the primary prompt in this context.

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26. Which one of the following does not describe one part of the classic H

Which one of the following does not describe one part of the classic Hindu temple ?

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Garbhagriha
Mandapa
Tribhanga
Antarala
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Tribhanga does not describe one part of the classic Hindu temple.
Garbhagriha, Mandapa, and Antarala are integral parts of the ground plan and superstructure of a classic Hindu temple. The Garbhagriha (sanctum sanctorum) is the innermost chamber housing the main deity. The Mandapa is a pillared hall or porch leading to the Garbhagriha, used for congregational purposes. The Antarala is a vestibule or antechamber connecting the Mandapa to the Garbhagriha. Tribhanga, however, is a dynamic pose or stance in Indian classical dance (like Odissi, Bharatanatyam) and sculpture, characterized by three bends in the body (at the neck, waist, and knee), creating an S-shaped curve. It is an aesthetic principle applied to figural representation, not an architectural component of the temple structure itself.
Other common parts of a Hindu temple include the Shikara or Vimana (towering superstructure), Gopuram (entrance gateway, especially in South Indian temples), Vahana (mount of the deity, often placed facing the Garbhagriha), and Prakara (compound wall).

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27. Which one of the following statements about the Bhakti movement in Ind

Which one of the following statements about the Bhakti movement in India is not correct ?

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Ramanuja taught at the Meenakshi temple of Madurai.
The founder of Madhava sect was a Kanarese Brahmin.
Telugu Brahmin Nimbarka settled near Mathura and greatly influenced the Bhakti movement.
Impact of Sahajiyas, Tantrics and Nath yogis led to the development of North Indian Sant tradition.
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The statement “Ramanuja taught at the Meenakshi temple of Madurai” is not correct.
Ramanuja (c. 1017–1137 CE), a prominent philosopher and theologian of Hinduism, was a key figure in the Bhakti movement and the most important exponent of Vishishtadvaita Vedanta. While Madurai has a significant Vaishnavite temple (Meenakshi Temple is primarily Shiva-Parvati, with Vaishnavite shrines), Ramanuja’s main center of activity and teaching was Srirangam, home to the Ranganathaswamy Temple, one of the most important Vaishnava pilgrimage sites. He did travel widely, but his primary base and major philosophical works are strongly associated with Srirangam.
– Madhvacharya (c. 1238–1317 CE), the founder of the Dvaita Vedanta school, was born near Udupi in present-day Karnataka and was a Kanarese Brahmin. Statement B is correct.
– Nimbarka (c. 13th century CE?), founder of the Dvaitadvaita Vedanta school, is traditionally believed to be a Telugu Brahmin from the Andhra region who settled near Mathura (Vrindavan), significantly contributing to the Radha-Krishna devotional tradition. Statement C is correct.
– The North Indian Sant tradition (figures like Kabir, Nanak, Dadu Dayal, etc.) evolved through complex interactions with various pre-existing religious and philosophical streams, including elements from Sahajiya Buddhists, Tantrics, Nath Yogis, Vaishnava Bhakti, and Sufism. Statement D is correct.

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28. Which one of the following pairs is not correctly matched ?

Which one of the following pairs is not correctly matched ?

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Lord North : Regulating Act of 1773
Lord Cornwallis : Permanent Settlement
Lord Bentinck : Abolition of Sati
Lord Canning : Minute on Indian Education
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The pair “Lord Canning : Minute on Indian Education” is not correctly matched. The famous ‘Minute on Indian Education’, often referred to as Macaulay’s Minute, was authored by Thomas Babington Macaulay, the Law Member of the Governor-General’s Council, in 1835. This occurred during the tenure of Lord William Bentinck as the Governor-General of India (1828-1835). Lord Canning served as the Governor-General of India from 1856 to 1858 and then as the first Viceroy of India from 1858 to 1862.
– The Regulating Act of 1773 was passed during the time when Lord North was the British Prime Minister.
– The Permanent Settlement was introduced by Lord Cornwallis in Bengal, Bihar, and Odisha in 1793.
– The abolition of Sati by Regulation XVII of 1829 was enacted during the Governor-Generalship of Lord William Bentinck.
– Macaulay’s Minute of 1835 advocated for the introduction of English education in India.
– Lord Canning oversaw the Indian Mutiny of 1857 and the transfer of power from the East India Company to the British Crown following the Government of India Act 1858.
– The Wood’s Despatch of 1854 was another significant document on Indian education, issued during Lord Dalhousie’s tenure.

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29. Which one of the following is not one of the modes of acquisition of c

Which one of the following is not one of the modes of acquisition of citizenship under the Citizenship Act, 1955 ?

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Descent
Registration
Incorporation of territory
Overseas citizenship/dual citizenship
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The Citizenship Act, 1955, provides for the acquisition of Indian citizenship by five ways: by Birth, by Descent, by Registration, by Naturalisation, and by Incorporation of territory. Overseas citizenship/dual citizenship is not a mode of *acquiring* Indian citizenship under this Act. Overseas Citizenship of India (OCI) is a status granted to persons of Indian origin who are citizens of another country; it is not equivalent to Indian citizenship, and India generally does not allow dual citizenship as per its constitution and laws.
– Indian citizenship can be acquired after the commencement of the Constitution (Jan 26, 1950) through the mechanisms specified in the Citizenship Act, 1955.
– The Constitution (Part II, Articles 5 to 11) deals with citizenship at the commencement of the Constitution and grants Parliament the power to regulate the right of citizenship.
– Overseas Citizen of India (OCI) status was introduced in 2005. OCI cardholders are granted multiple entry lifelong visas, exemption from reporting to the police for any length of stay in India, and parity with NRIs in financial, economic and educational fields, but they do not have political rights (like voting or holding public office).

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30. Which one of the following is not a right guaranteed by Article 19 of

Which one of the following is not a right guaranteed by Article 19 of the Constitution of India ?

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Freedom of speech and expression
Freedom to practice any profession
Freedom to follow a religion of one's choice
Freedom to form associations or unions
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Article 19 of the Constitution guarantees six freedoms to citizens: freedom of speech and expression, assembly, association, movement, residence, and profession. The freedom to follow a religion of one’s choice is guaranteed under the Right to Freedom of Religion, specifically in Article 25, which states that all persons are equally entitled to freedom of conscience and the right freely to profess, practice, and propagate religion.
– Article 19 is available only to citizens of India.
– The freedoms guaranteed under Article 19 are not absolute and are subject to reasonable restrictions imposed by the state on grounds specified in the respective clauses of Article 19.
– Articles 25 to 28 deal with the Right to Freedom of Religion.
– Article 25 guarantees individual religious freedom, while Articles 26, 27, and 28 deal with the rights of religious denominations and institutions and freedom from religious taxation and instruction in certain educational institutions.

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