67th BPSC Prelims Re-exam 2022 Question Paper

Detailed Explanation:

Relative speed = Train speed − Dog speed = 60 − 18 = 42 km/h = 42 × (5/18) = 35/3 m/s.

Time to cross = Length / Relative speed = 140 ÷ (35/3) = 140 × (3/35) = 12 seconds.

Therefore, the train will cross the dog in 12 seconds, making Option 2 the correct answer.

Detailed Explanation:

Diagonals of a rhombus bisect each other at right angles. Half-diagonals: 5 cm and 12 cm.

Using Pythagoras theorem: Side = √(5² + 12²) = √(25 + 144) = √169 = 13 cm.

Perimeter = 4 × 13 = 52 cm.

Therefore, Option 1 is the correct answer.

Detailed Explanation:

Selling at Rs. 150 per dozen with 25% loss means SP = 75% of CP. Thus, CP = 150 × (100/75) = Rs. 200 per dozen.

For 20% profit, required SP = 120% of CP = 200 × 1.20 = Rs. 240 per dozen.

Therefore, Option 2 is the correct answer.

Detailed Explanation:

Initial mixture: 70 kg with sand:cement = 4:1. Total parts = 5, so 1 part = 14 kg. Sand = 56 kg, cement = 14 kg.

After adding x kg sand: New ratio must be 6:1. So (56 + x)/14 = 6/1. Cross-multiply: 56 + x = 84, hence x = 28 kg.

Therefore, 28 kg of sand must be added, making Option 1 the correct answer.

Detailed Explanation:

A number divisible by 4, 5, and 6 must be a multiple of their LCM = 60.

Between 100 and 500, the first multiple of 60 is 120 and the last is 480. The multiples are: 120, 180, 240, 300, 360, 420, 480.

Therefore, there are 7 numbers, making Option 2 the correct answer.

Detailed Explanation:

Let the two numbers be A and B. Given AB = 2400 and A² + B² = 5200.

Using identity (A + B)² = A² + B² + 2AB: (A + B)² = 5200 + 2(2400) = 5200 + 4800 = 10000. Therefore, A + B = 100.

Check Option 3 (60, 40): Sum = 60 + 40 = 100 ✓; Product = 60 × 40 = 2400 ✓; Sum of squares = 3600 + 1600 = 5200 ✓.

Therefore, the numbers are 60 and 40, making Option 3 the correct answer.

Detailed Explanation:

Apply the set theory formula: Total = Cricket + Badminton − Both. Given 55 students total, 34 like cricket, 26 like badminton, and each student plays at least one game.

Substitute: 55 = 34 + 26 − Both ⇒ Both = 60 − 55 = 5 students.

Therefore, 5 students like both games, making Option 2 the correct answer.

Detailed Explanation:

Anil's rate: 1/20 work per day. Together rate: 1/12 work per day. Suman's rate = 1/12 − 1/20 = (5−3)/60 = 2/60 = 1/30 work per day.

Alternatively, using combined work formula: (20×y)/(20+y) = 12 → 20y = 240 + 12y → 8y = 240 → y = 30.

Therefore, Suman alone takes 30 days, making Option 3 the correct answer.

Detailed Explanation:

The hour and minute hands of a clock coincide when the angle between them is 0°. At 5 o'clock, the hour hand is at 150° (30° × 5). The minute hand moves at 6° per minute, while the hour hand moves at 0.5° per minute, creating a relative speed of 5.5° per minute.

To close the 150° gap: M = 150 ÷ 5.5 = 300/11 = 27³⁄₁₁ minutes. This can also be derived using the standard formula for hand coincidence: M = (60H)/11, where H = 5.

Therefore, the hands coincide at 27³⁄₁₁ minutes past 5, making Option 2 the correct answer.

Detailed Explanation:

The clock gains 10 minutes in 24 real hours, so in 24 real hours it shows 24 hours 10 minutes. From 6 a.m. to 11 a.m. next day = 29 hours on the fast clock.

If the clock shows 29 hours, real time elapsed = 29 ÷ (24 + 10/60) = 29 ÷ (1450/60) = (29 × 60)/1450 × 24 = 28 hours 48 minutes. Adding this to 6 a.m. gives 10:48 a.m.

Therefore, the correct time is 48 minutes past 10, making Option 1 the correct answer.

Detailed Explanation:

Sardar Udham Singh assassinated Michael O'Dwyer on 13 March 1940 in London to avenge the Jallianwala Bagh massacre of 1919. O'Dwyer was the Lieutenant Governor of Punjab during the massacre and was held responsible by Udham Singh for sanctioning the brutal crackdown.

Curzon Wyllie was killed by Madan Lal Dhingra (1909), Saunders by Bhagat Singh (1928), and General Dyer (the actual executor at Jallianwala Bagh) died naturally in 1927.

Therefore, Michael O'Dwyer was assassinated by Sardar Udham Singh, making Option 2 the correct answer.

Detailed Explanation:

Surendra Nath Banerjee, a prominent nationalist leader, famously described the 1905 Bengal Partition announcement by stating "The partition announcement fell like a bomb shell", capturing the shock and outrage felt across Bengal.

Announced on 20 July 1905 under Viceroy Lord Curzon and implemented on 16 October 1905, the partition was seen as a British divide-and-rule tactic that triggered the Swadeshi and Boycott movements. It was eventually reversed in 1911.

Therefore, Surendra Nath Bannerjee made this famous statement, making Option 4 the correct answer.

Detailed Explanation:

Rani Laxmibai, the queen of Jhansi, died fighting the British on 18 June 1858 near Gwalior during the 1857 Revolt. Her memorial (samadhi) is located in the Phool Bagh area of Gwalior.

After the British annexed Jhansi using the Doctrine of Lapse, she led her forces alongside Tantya Tope and other rebels, ultimately falling in battle at Gwalior—not at Kanpur, Jhansi, or Lucknow.

Therefore, Gwalior is where she died, making Option 2 the correct answer.

Detailed Explanation:

Khan Abdul Ghaffar Khan, also known as Bacha Khan, was a Pashtun independence activist from the Peshawar Valley who founded the Khudai Khidmatgar (Red Shirts) movement in 1929, advocating non-violent resistance against British rule.

His unwavering commitment to peace and close association with Mahatma Gandhi earned him the title 'Frontier Gandhi'. He opposed both colonial rule and the partition of India, remaining steadfast in non-violence despite severe repression.

Therefore, Abdul Gaffar Khan is known as 'Frontier Gandhi', making Option 3 the correct answer.

Detailed Explanation:

The Constituent Assembly convened for the first time on 9 December 1946. Two days later, on 11 December 1946, Dr. Rajendra Prasad was unanimously elected as its Chairman.

This election occurred in December 1946, not in September, October, or November of that year.

Therefore, December 1946 AD is the correct answer, making Option 3 correct.

Detailed Explanation:

Jayaprakash Narayan escaped from Hazaribagh Central Jail on Deepawali (Diwali) in November 1942 during the Quit India Movement. He exploited the festival occasion when many guards were on leave, facilitating this daring escape that made him a folk hero.

Arrested under the Defence of India Rules for underground activities, JP planned the escape with fellow prisoners. The Deepawali festival provided the perfect opportunity due to reduced security, and he subsequently continued his freedom struggle activities underground.

Therefore, Deepawali is the correct festival, making Option 3 the correct answer.

Detailed Explanation:

The Interim Government of 1946 was formed on 2nd September 1946 under the leadership of Jawaharlal Nehru as Vice President of the Executive Council. Jagjivan Ram was allotted the Labour portfolio.

Other key portfolios included Rajendra Prasad (Food & Agriculture), Vallabhbhai Patel (Home Affairs), and Syed Ali Zaheer (Law). Jagjivan Ram, a prominent Dalit leader from Bihar, played a crucial role in labor welfare during this period.

Therefore, Jagjivan Ram held the Labour portfolio, making Option 4 the correct answer.

Detailed Explanation:

Azad Dasta (Freedom Brigade) was a guerrilla unit led by Jayaprakash Narayan during the Quit India Movement (1942) in Bihar and the Nepal border region, formed to carry out underground armed resistance after mass arrests of leaders.

The Non-Cooperation Movement (1920–22), Civil Disobedience Movement (1930–34), and Champaran Satyagraha (1917) were earlier Gandhian movements focused on non-violent protest and did not involve armed guerrilla groups.

Therefore, Azad Dasta was active exclusively during the Quit India Movement, making Option 3 the correct answer.

Detailed Explanation:

Khudiram Bose and Prafulla Chaki attempted to assassinate Magistrate Kingsford in Muzaffarpur, Bihar on 30 April 1908. They threw a bomb at a carriage they believed carried Kingsford, but it mistakenly killed barrister Kennedy's wife and daughter.

Khudiram was caught, tried, and hanged on 11 August 1908 at age 18. The jail where he was executed was later renamed Khudiram Bose Memorial Central Jail in his honour.

Therefore, Muzaffarpur is the correct location, making Option 2 the correct answer.

Detailed Explanation:

The Chauri Chaura incident occurred on 4 February 1922 in Gorakhpur district, part of the United Provinces (now Uttar Pradesh). During a protest linked to Gandhi's Non-cooperation Movement, demonstrators clashed with police and set fire to the police station, killing 22 policemen.

Gandhi, deeply disturbed by this violence, suspended the entire Non-cooperation Movement on 12 February 1922, emphasizing his commitment to non-violence.

Therefore, Chauri Chaura is located in Uttar Pradesh, making Option 3 the correct answer.