Indian Army Agniveer Mock Test - 1 - CDS MCQ

Given,
Average of 60 observations = 42
As we know,

Average of 60 observations = 42
Sum of all 60 observations = 60×42 = 2520
New sum of all 60 observations if 50 is replaced by 20
= 2520−50+20 = 2490
∴ New average of 50 observations = 2490/60 = 41.5

Given,
A 's salary =60% more than B 's salary.
Let the salary of B be 100 .
A 's salary =100+60% of 100=160
B 's salary =(160−100)=60 less than 

= 37.5%
∴ The salary of B is 37.5% less than the salary of A.

The difference of the numbers = 34041 – 32506 = 1535
The number that divides both these numbers must be a factor of 1535.
307 is the only 3 digit integer that divides 1535.

We know that,
1km=1000m
1 hour =60×60sec
According to the question,
Distance =333km=333×1000m
Time =2 hour =2×60×60sec
We know that,
Speed = Distance/Time
So,

Let, x red marbles be added,

Let the two angles be A and B.
As we know,
Sum of two complementary angle =90∘
∠A+∠B=90º…(1)
∠A−∠B=40º… (2) (Given)
From equation (1) and (2), we get
∠A = 65º, ∠B= 25º

Given,
Compound interest in 2 years =16800
Rate =10%
Simple interest for Time =3 years
As we know,
Compound interest = Principal 

Simple interest  = 24,000
∴ The simple interest is Rs. 24,000 .

Given,
a : b : c = 3 : 4 : 7 
⇒ 3x + 4x + 7x =14x 
∴  a + b + c = 14x
⇒ c = 7x 
∴ (a + b + c) : c 
= 14x :7x 
= 2 : 1

Given:
The given number = 480
Concept used:
Positive integer multiples:  The multiples of an integer are all the numbers that can be made by multiplying that integer by any integer
Calculation:
According to the question
⇒ 480 = 32 × 3 × 5
⇒ 25 × 31 × 51
So, the number of positive factors of 480 is
⇒ (5 + 1) × (1 + 1) × (1 + 1)
⇒ (6 × 2 × 2) = 24
∴ The required answer is 24.

Given:
The outlet pipe can empty a cistern in 3 hrs.
Calculations:
According to question,
Time taken to fill whole cistern = 3 hours
Time taken to fill 2/3 part of the cistern = 2 hours
Hence, The Required value is 2 hours.

Given:
Principal = Rs. 1200
Rate = 10%, Time = 2 years
Formula used:

Where, P = Principal, R = Rate, T = Time
Calculation:
According to the question

⇒ Rs. (1452 - 1200) = Rs. 252
∴ The required interest is Rs. 252.

Given:
4 men or 7 women can finish a work = 60 days
Concept used:
Work = Efficiency × Time
Calculation:
4 men or 7 women can finish a work = 60 days
⇒ 4 men × 60 = 7 women × 60

Total work = (4 × 7 × 60) = 1680
Now, according to the question 8 men 7 women working together can complete the work in

∴ The required time is 20 days.

Given:
The equation x² − 4x + k = 0
Concept used:
Roots of a quadratic equation satisfy the equation, so by putting the value of one root, One can find the unknown variable and hence the other root.
Calculation:
Let us put x be 3 in the equation
So,
x² – 4x + k = 0
⇒ 9 – 12 + k = 0
⇒ k = 3
Putting the value of k in the equation, we get:
x² – 4x + 3 = 0
⇒ x² – 3x – x + 3 = 0
⇒ x(x – 3) – 1(x – 3) = 0
⇒ (x – 3)(x – 1) = 0
⇒ x = 3 and 1 
∴ The other root of the equation is 1.

Given:
The train takes 1 second to cross a telegraph post and 3 seconds to cross a platform 300 metres long.
Concept used:
1. While a train crosses a platform, it crosses the sum of its length and the length of the platform.
2. While a train crosses a telegraph post, it crosses its own length.
3. Distance = Speed × Time
Calculation:
Let the length and speed of the train be L metres and S m/s respectively.
According to the concept,
S × 1 = L
⇒ S = L      ....(1)
3S = (L + 300)
⇒ 3L = L + 300 (From 1)
⇒ 2L = 300
⇒ L = 150
∴ The length of the train is 150 metres.

Calculation:
We know that,
The largest four digit number is 9999
Divide this by 88, 55 is remainder this means if the number was 55 lesser, then it would be completely divisible by 88.
So, Largest 4 digit number divisible by 88 
⇒ 9999 - 55
⇒ 9944
∴ The largest four digit number that is divisible by 88 is 9944.

In the Rewa district of Madhya Pradesh, the ‘Mahamrityunjay ka Mela’ is held every year.

• There is a temple of Maha Mrityunjay in Rewa.
• The fair is held every year on Basant Panchami and Shivratri.
• Bhairavnath of Bhagat Panchami is a famous Shiv Temple in Devtailab Birsinghpur.

Dr. Satchidanand Sinha, the oldest member of the assembly, was elected the president of the assembly. After him, Dr. Rajendra Prasad was elected as the President of the Constituent Assembly on December 11, 1946.
On December 9, 1946, the first meeting of the Constituent Assembly was held in the Library Building of the Council Chamber in New Delhi.

The book "Das Capital" which is about the capitalist system is authored by Karl Marx. There is an analysis of capitalism and capitalism and measures have been given to free the working class from exploitation. A completely new ideology flowed through this book, which shook the entire ancient beliefs. A few years after the publication of this book, there was a communist revolution in Russia.

• Tanjore school of paintings is famous for its special style of decorative paintings. The Maratha rulers patronized them during the 18th century. The paintings were usually created on glass and board instead of cloth and vellum. Therefore, statement 1 is incorrect.
• They were unique because of the use of brilliant colour patterns and the use of the gold leaf. They used many types of gemstones and cut glasses. Therefore, statement 2 is correct. 
• Paintings were based on religious themes. The school reached its zenith under the patronage of Sarfoji Maharaj.  Tanjore paintings have been recognized as a Geographical indication by the Government of India in 2007-08.

• Ernst Mayr established evolutionary biology as a separate field of research in the United States which earned him the name “Darwin of the 20th century.”
• Ernst Mayr from Germany helped to define the modern synthesis of evolutionary theory.

Chaukhandi Stupa is located in Sarnath, Uttar Pradesh. It was built in the period of the 4th and 5th century A.D during the Gupta period. It is believed that Buddha first time met his five disciples here. It was built to mark the site where Lord Buddha and his first disciples met while traveling from Bodh Gaya to Sarnath. It is declared as a ‘protected area of national importance’ in 2019. The Archaeological Survey of India declared Chaukhandi Stupa as a monument of national importance in June 2019.

Rajiv Gandhi's birthday is celebrated as Sadbhavana Diwas on 20 August.
Every year India observes Sadbhavana Diwas on August 20 to commemorate the birth anniversary of late erstwhile Prime Minister, Rajiv Gandhi. This year on 20th August 2022, we are going to celebrate the 78th birth anniversary of former Prime Minister Rajiv Gandhi. The Indian National Congress instituted Rajiv Gandhi Sadbhavana Award in 1992, a year after his death.

The state of Karnataka has bagged the national award for the best implementation of Pradhan Mantri Fasal Bima Yojana (PMFBY), a crop subsidy insurance scheme, for the year 2022-23.

President has appointed new Governors for twelve states and the Union Territory of Ladakh.

• Amid intense protests by Ladakhis, the Ministry of Home Affairs (MHA) has removed Ladakh’s Lieutenant Governor RK Mathur.
• BD Mishra, a former brigadier of the Indian Army, and present Governor of Arunachal Pradesh has been appointed as his successor.
• The Lieutenant Governor of Ladakh was shown door at a time when the civil society groups in Ladakh - the Leh Apex Body and Kargil Democratic Alliance (KDA) - have intensified their stir to pressurize government for their demand of special status for Ladakh. 
• Now, Brig. B.D. Mishra (retd), the current governor of Arunachal Pradesh, has been appointed as L-G Ladakh.

SAARC-

• Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan, and Sri Lanka are the eight members of SAARC.
  • Hence, Iran is not a member of SAARC.
• On January 17, 1987, the Association's Secretariat was established in Kathmandu. 
• The SAARC Charter was ratified in Dhaka on December 8, 1985, establishing the South Asian Association for Regional Cooperation (SAARC). 
• In 2007, Afghanistan became the eighth member of SAARC.

• Defence minister Rajnath Singh inaugurated Siyom bridge in Arunachal Pradesh.
• It was built by Border Roads Organisation.
• The Siyom bridge on the Along-Yinkiong Road- a 100-meter 'Class-70' steel arch superstructure- will facilitate faster induction of troops and heavy equipment to forward areas of the Upper Siang district, Tuting and Yinkiong regions along the Line of Actual Control (LAC).

21 other bridges, three roads and three additional infrastructure projects in Arunachal Pradesh, J&K, Ladakh, Uttarakhand, Sikkim, Punjab and Rajasthan, were virtually inaugurated by Singh from the Siyom bridge site.

• Hitler was the dictator of Germany.
• Adolf Hitler
  • Birth- April 20, 1889.
  • Death- April 30, 1945.
  • He was known as Der Führer (“The Leader”) in Germany.

The Mariana Trench is the deepest oceanic trench on Earth and home to the two lowest points on the planet. 

• The crescent-shaped trench is in the Western Pacific, just east of the Mariana Islands near Guam.
• The Challenger Deep, at the southern end of the Mariana Trench (sometimes called the Marianas Trench), is the deepest spot in the ocean.
• Its depth is difficult to measure from the surface, but in 2010, the National Oceanic and Atmospheric Administration used sound pulses sent through the ocean and pegged the Challenger Deep d at 36,070 feet.

• Football is a family of team sports that involve, to varying degrees, kicking a ball to score a goal. Football is the national sport of France, Italy, Haiti, Namibia, Poland, Mauritius, etc. 
• Golf is a club-and-ball sport in which players use various clubs to hit balls into a series of holes on a course in as few strokes as possible. The modern game of golf originated in 15th century Scotland.
• Hockey is a widely played team sport of the hockey family. The game can be played on grass, watered turf, artificial turf, or synthetic field, as well as an indoor boarded surface. Each team plays with ten field players and a goalkeeper.

Hemis National Park:

• It is a high altitude national park, located in Indian UT of Ladakh.
• It is the largest National Park in India.
• It is globally famous for its snow leopards.