Indian Army Agniveer Mock Test - 2 - CDS MCQ

Given:
Time taken by 6 men to complete a piece of work =10 days
If a person takes x days to complete a work, part of the work
completed by him in one-day = 1/x
Time taken by 1 man = 6×10 = 60 days
∴ The time taken by 4 men to complete the work = 60/4 = 15 days.

Given:
Students failed in school X =30%
Number of students in school Y =150% more than number of students in school X
Students passed in both schools =80%
Let number of students in school X be 100x.
Number of failed students in school X =30% of 100x=30x
Number of passes students in school Y =(100x–30x)=70x
Number of students in school Y =100x+150% of 100x
=100x+150x=250x
Total number of students in school X and school Y =100x+250x=350x
Number of passes students in both schools =80% of 350x=280x
So, number of passed students in school Y =280x–70x=210x
Number of failed students in school Y =250x–210x=40x
Percentage of failed students in school Y = (40x/250x) x 100% = 16%
∴ The percentage of students who failed from school Y is 16%.

Given:
Equation = 

Relative speed, if opposite directions = (x + y) km/hr
Relative speed of both men, if they running opposite direction.
= 10+20 = 30 km/hr
= 30 x (5/18)m/s
Time taken to meet each other =  seconds

Given:
Rate of interest = 2.5% per month
Amount paid after 6 months = Rs. 13110
Amount, A = P+SI
Simple interest, 
Where P→ Principal, R→ rate of interest, T→ time
Suppose the sum borrowed be Rs. x

⇒ Amount of interest = 0.15×11400
= Rs. 1710

Given:
Ratio of radius of two right circular cylinders = 3:2
Ratio of their volumes = 27:16
As we know,
Volume of right circular cylinder = πr²h
let the height of both cylinder be h₁ and h₂

∴ The ratio of their heights is 3:4.

The smallest number which is divisible by all the odd numbers up to 15 would be the L.C.M of all the odd numbers up to 15.
∴ Required number = L.C.M of 1,3,5,7,9,11,13,15
= 45045

Given,
Right-angled triangle, the square of the hypotenuse is twice the product of the other sides.
As we know,
A triangle whose two sides are equal, called isosceles triangle.
A triangle whose one angle is equal to 90°, called right angled triangle.
Let given sides are p, b and h where p = perpendicular, b = base and h = hypotenuse.
Now, p² + b² = h² ---- (1) [Right angles triangle property]
According to question,
h² = 2 × p × b...(2)
Putting (2) in (1), we get
P² + b² = 2pb
⇒ p² + b² – 2pb = 0
⇒ (p - b)2 = 0
⇒ p = b
The other two sides are equal. Therefore, the triangle is an isosceles triangle.

Given:
Two angles of a triangle are equal
The third angle = 70°
Formula Used:
Sum of the angle of the triangle = 180°
Calculations:
⇒ Let the unknown angle be x
⇒ 2nd angle = x
⇒ 3rd angle = 70°
so,
⇒ Sum of the angle of the triangle = 180°
⇒ x + x + 70 = 180
⇒ 2x = 180 - 70 = 110
⇒ x = 55°
⇒ Hence, The unknown angle of the triangle is 55°.

Calculation:

⇒ 29/6, 61/9,71/9,77/10
By making the denominator same we have,
⇒ 435/90, 610/90, 710/90, 693/90
Out of the above numbers the greatest is 710.
∴ The correct answer is 7(8/9).

Formula Used:
Area of Circle = π × r²
Circumference of Circle = 2π × r
Calculation:

Let radius of ground be r & radius of road be R
Difference between circumference = 44m
Using above formula -
⇒ 2π (R - r) = 44
⇒ 2π (R - 7)= 44
⇒ (44/7)(R - 7) = 44
⇒ R - 7 = 7
⇒ R = 14 m
⇒ Area of road = π (R² - r²) = π (14² - 7²) 
⇒ Area of road =  (22/7)× 147 = 462 m²
∴ The correct answer is 462 m²

Given:
84 ÷ 32 × 8 - 15 ÷ 8 × (19 - 35)
Concept used:

Calculation:
84 ÷ 32 × 8 - 15 ÷ 8 × (19 - 35)
⇒ 84 ÷ 32 × 8 - 15 ÷ 8 × (- 16)
⇒ 21/8 × 8 - (15/8) × (- 16)
⇒ 21 + 30
⇒ 51
∴ The required answer is 51.

Given:
a + b + c = 10 and a² + b² + c² = 4
Concept Used:
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca 
Calculation:
⇒ Using the formula (a + b + c)² we get,
⇒ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca 
⇒ (10)² = 48+ 2(ab + bc + ca)
⇒ 100 – 48 = 2(ab + bc + ca)
⇒ ab + bc + ca = 52/2 = 26
Therefore, the value of ab + bc + ca is 26.

Given:
The price of cooking oil has increased by 25%.
Formula Used:
Expenditure = Price × Consumption
Calculation:
Let, the previous budget was Rs 100.
As it increased by 25%, it became Rs125
Since the family has to maintain the previous budget.
⇒ Rs 125 should be reduced to Rs 100
⇒ Rs 1 should be reduced to Rs 100/125
⇒ Rs 100 should be reduced to Rs (100/125) × 100 = Rs 80
⇒ (100- 80 ) = 20% 
∴The answer is 20% .

Calculation:
⇒ 42 - 25 = 17
⇒ 72 - 55 = 17
⇒ 84 - 67 = 17
Now, LCM (42, 72, 84) = 504
Hence, required number = 504 - 17 = 487
∴ The correct answer is 487.

Lord Canning (1856-62) was the Governor-General of India during the 1857 revolt.  He served as the Governor-General of India from 1856 to 1862.
Lord Canning: During his tenure, the Government of India Act, 1858 was passed which created the office of the Viceroy to be held by the same person who was the Governor-General of India. Lord Canning also served as the first Viceroy of India.
The important events during his tenure include:

• Sepoy mutiny of 1857, which he was able to suppress successfully.
• The passing of the Indian Councils Act, 1861 introduced a portfolio system in India.

The historic town named Gohana is located in the Sonipat district.
In ancient times, Gohana was considered a sacred place. Prithviraj Chauhan constructed a fort here, which was later destroyed by Muhammad Ghori after defeating Prithviraj in 1192.

Correct option is A - 4, B - 2, C - 1, D - 3

The main objective behind introducing the Rowlatt Act was to curb the growing nationalist upsurge in the country.
The Rowlatt Act: This act authorised the British government to arrest anybody suspected of terrorist activities. It also authorised the government to detain such people arrested for up to 2 years without trial. It empowered the police to search a place without a warrant.

Sabarimala is a famous Hindu temple located in the Periyar Tiger Sanctuary in Kerala. It has the largest annual pilgrimage in the world, which attracts about 2 crore devotees every year.
Sabarimala is a wonderful link between Shaivites and Vaishnavites. In Malayalam, 'Shabarimala' means mountain.
There is a temple of Lord Ayyappan in Sabarimala.

The correct pair of the country - capital are: Cuba - Havana
Cuba officially the Republic of Cuba is a country comprising the island of Cuba, as well as Isla de la Juventud and several minor archipelagos. Cuba is located where the northern Caribbean Sea, Gulf of Mexico, and Atlantic Ocean meet.
Havana is the capital and largest city of Cuba. The heart of the La Habana province, Havana is the country's main port and leading commercial center. The city has a population of 2.1 million inhabitants, and it spans a total of 781.58 km2 (301.77 sq mi) – making it the largest city by area, the most populous city, and the fourth largest metropolitan area in the Caribbean region.

19 August is World Humanitarian Day observed.
World Humanitarian Day is observed across the world on August 19 to pay tribute to workers who risk their lives in humanitarian services and to gather support for people affected by crises around the world. The day was designated by the UN General Assembly to commemorate the 19 August 2003 bombing of the United Nations headquarters in Baghdad, Iraq.

The Himalayan frontal faults is a series of reverse faults that demarcates the boundary of the Shivalik from the alluvial expanse of the Indo-Gangetic plains. Hence, Option 3 is NOT correct. The Himalayan frontal faults are also known as the Main Frontal Thrust (MFT).
The geology of the Himalayas is characterized by three major tectonic units:

• The Main Central Thrust (MCT)
• The Main Boundary Thrust (MBT)
• The Himalayan Frontal Thrust (HFT)/(MFT)

Main Central Thrust (MCT) Zone separates the Greater Himalayas in the north from lesser Himalayas in the south.
The Main Boundary Thrust (MBT) zone separates the outer Himalayas from the lesser Himalayas. The Himalayas are young fold mountains.

Dronacharya award is associated with Sports.

• It is awarded annually by the Ministry of Youth Affairs and Sports.
• It is awarded to the Coaches for their achievement in producing "Outstanding Sportsperson".
• It was first awarded in 1985 to Bhalchandra Bhaskar Bhagwat.
• The reward amount for this Prize is ₹ 15 lakh.

• Dharmendra Pradhan is the present Education Minister of India.
• Dharmendra Pradhan is an Indian politician serving as the Minister of Education and Minister of Skill Development and Entrepreneurship in the Government of India.
• He has also been the Minister of Petroleum & Natural Gas and Minister of Steel.  

• International Monetary Fund headquarters is located at Washington D. C in the United States. It was founded in 1944.
• International Monetary Fund is an Organization of 190 countries.
• It is working to secure financial stability, facilitate international trade, promote high employment and economic growth and reduce poverty around the world.

• The Lal Bahadur Shastri National Academy of Administration (LBSNAA), Mussoorie is a premier training institution for civil services in India.
• Established in 1958.
• Headed by a Director (an officer of the level of Secretary to the Government of India).
• It is an attached office of the Department of Personnel & Training, Government of India.
• It conducts a common Foundation Course for entrants to the All India Services; Indian Foreign Service; Group ‘A’ services of the Union and the Royal Bhutan Service followed by professional training for the regular recruits of the Indian Administrative Service (IAS) and members of the Royal Bhutan Service.
• The Academy also conducts in-service and Mid-Career Training Programmes (MCTPs) for members of the IAS and Induction Training programmes for officers promoted to the IAS from State Civil Services.

• Civil disobedience movement was started in 1930 (12 March 1930 – 6 April 1930).
• The Civil Disobedience Movement was launched by Mahatma Gandhi when the British Government not given a positive response to Gandhi's eleven demands.
• It began with the famous Dandi March of Gandhi, on 12 March 1930.
• Gandhi left the Sabarmati Ashram at Ahmadabad on foot with 78 other members of the Ashram.
• The act of making salt was a symbol of the Indian people's refusal to live under British-made laws or under British rule.

• The Indian National Congress conducted its first session in Bombay from 28 to 31 December 1885 at the initiative of retired Civil Service officer Allan Octavian Hume.
• Its aim was to obtain a greater share in government for educated Indians and to create a platform for civic and political dialogue between them and the British Raj.
• Hume organized the first meeting in Bombay with the approval of the Viceroy Lord Dufferin.
• Womesh Chandra Banerjee was the first president of Congress; the first session was attended by 72 delegates, representing each province of India.

United Nations Organisation (UNO):

• The United Nations is an international organization founded in 1945 after the Second World War by 51 countries.
• The countries were committed to maintaining international peace and security, developing friendly relations among nations, and promoting social progress, better living standards, and human rights.
• It was established with an aim of preventing future wars, succeeding the ineffective League of Nations.
• On 25 April 1945, 50 governments met in San Francisco for a conference and started drafting the UN Charter, which was adopted on 25 June 1945 and took effect on 24 October 1945, when the UN began operations. 
• The UN is headquartered on international territory in New York City and has other main offices in Geneva, Nairobi, Vienna, and The Hague.

Hence, United Nations Organisation was established on 24 October 1945.