Indian Army Agniveer Mock Test - 9 - CDS MCQ

Given Data:

• The average of 8 numbers is 25:
  • Sum of all 8 numbers = 8 × 25 = 200
• The average of the first two numbers is 20:
  • Sum of the first two numbers = 2 × 20 = 40
• The average of the next three numbers is 26:
  • Sum of the next three numbers = 3 × 26 = 78
• The sixth number (x) is:
  • 4 less than the seventh (y): y = x + 4
  • 6 less than the eighth (z): z = x + 6

Step-by-Step Solution:

Step 1: Sum of the last three numbers

From the total sum:

Sum of the last three numbers = 200 - (Sum of the first five numbers)

Sum of the last three numbers = 200 - (40 + 78) = 200 - 118 = 82

Step 2: Equation for the last three numbers

The last three numbers are x, y, and z. Using their relationships:

x + y + z = 82

Substitute y = x + 4 and z = x + 6 into the equation:

x + (x + 4) + (x + 6) = 82

3x + 10 = 82

3x = 72 ⇒ x = 24

Step 3: Find y and z

Using x = 24:

• y = x + 4 = 24 + 4 = 28
• z = x + 6 = 24 + 6 = 30

Verification:

The sum of the last three numbers is: 24 + 28 + 30 = 82

This matches the required sum, confirming our calculations.

Final Answer:

The last number is 30.

Raju being twice as good a workman as Vijay, you can solve the following equation to get the
required answer:
1/R + 1/2R = 1/14.
Solving will give you that Vijay takes 42 days.

x² = 529 * 324 ⇒ x = 23 * 18 = 414

So Option B is correct

12% percent didn’t cast their vote. 45% of total votes get by the winning candidates, so remaining 43% will be scored by his rival. So, (45/100 -43/100)*P = 2000
P = 100000

Let the number is a a – (75/100)*a*(120/100) = 40 we will get a = 400

Let the amounts of water in the bottles be V, 2V, 3V, 4V, 5V and 6V.
So, total water poured = 21V
Let the capacity of each bottle be C.
So, capacity of six bottles = 6C
Capacity of jar = 3C
As the jar is completely filled, we have
21V = 3C
Or 7V = C
Now, 70% of 7V = 4.9V
Thus, there are two bottles which were at least 70% filled with water.
Hence, answer option 3 is correct.

100 litres of mixture has 80 litres of milk and 20 litres of water.
When 25 litres of mixture is taken out, it contains 20 litres of milk and 5 litres of water.
So, milk left = 60 litres and water left = 15 litres.
If 25 litres of water is added, then ratio of water to milk = 40 : 60 = 2 : 3

 Height of the cylinders = 42 cm
Radius of the outer cylinder = r₁ = 16/2 = 8 cm
Radius of the inner cylinder = r₂ = 14/2 = 7 cm
Therefore, volume of the cork dust required = Volume of the outer cylinder – Volume of the inner cylinder

= 1980 cm³

Average rate of tap = 2/3 drops/sec
Total number of drops in the completely filled vessel = 2080
So, time taken by the tap to drip 2080 drops 
i.e. Time required to fill the vessel = 3120 sec
∴ Number of times that the vessel be filled in this manner in 13 hours 

All these mediums help to convey the ideologies of the government and get in contact with the comments of public for the same.

Explanation:

1. The first telegraph line in India: The first telegraph line in India was indeed laid between Kolkata (then known as Calcutta) and Diamond Harbour in 1850. This marked the beginning of telegraph communication in India.

2. The first Export Processing Zone (EPZ) in India: The first Export Processing Zone (EPZ) in India was established in Kandla, Gujarat, in 1965. It was set up to promote exports by providing various incentives and facilities to export-oriented businesses.

Since both statements are correct, the answer is Both 1 and 2.

Answer: c

Exp: During the Indian Freedom Struggle, Rowlatt Act 1919 aroused popular indignation as it  authorized the government to imprison people without trial.

Meghalaya is bounded on the north by Assam and by Bangladesh on the south.

NLC India Limited (NLCIL) received the GeM award in the "Timely Payments (CPSEs)" category. The award recognizes NLCIL's contribution in improving the reliability of e-market practices through prompt payments. NLCIL has shown significant growth in GeM procurement, reflecting its commitment to transparent and efficient procurement practices.

The 67^th TAAI Convention holds great significance in the travel industry. It strengthens ties between India and Sri Lanka, offers trade opportunities for stakeholders, and features thought-provoking sessions on topics such as India's tourism vision, experiential travel, MICE, and digital opportunities. The convention promotes growth, knowledge exchange, and collaboration within the travel industry.

The cassette tape contains a magnetic strip wound around two spools. Tiny magnetic particles are randomly scattered throughout the tape. A tape recorder should not be kept near a magnet as the latter can cause the magnetic material to be pushed and pulled out of place. Rearranging the magnetic particles erases the sound. 

The Siemens is the unit of electric conductance, electric susceptance and electric admittance in the International System of Units (SI).

In the solid and liquid phase, water molecules are bonded to each other by virtue of an interaction between hydrogen atoms on one molecule and the oxygen atom of another — the process is referred to as "hydrogen bonding." The result is a kind of "skin" on liquid water's surface.

The compressor is the motor (or engine) of the cooling system. It is normally at the bottom of the refrigerator in the back. The compressor runs whenever the refrigerator thermostat calls for cooling.

Stomata are tiny openings or pores in plant tissue that allow for gas exchange. Stomata are typically found in plant leaves but can also be found in some stems.

Aspirin is used to reduce fever and relieve mild to moderate pain from conditions such as muscle aches, toothaches, common cold, and headaches. It may also be used to reduce pain and swelling in conditions such as arthritis.

The atmosphere of Earth is a layer of gases surrounding the planet. Earth that is retained by Earth's gravity. The atmosphere protects life on Earth by absorbing ultraviolet solar radiation, warming the surface through heat retention (greenhouse effect), and reducing temperature extremes between day and night. Air is the name given to the atmosphere used in breathing and photosynthesis. Dry air contains roughly (by volume) 78.09% nitrogen, 20.95% oxygen, 0.93% argon, 0.039% carbon dioxide, and small amounts of other gases.

Steel is an alloy made by combining iron and other elements, the most common of these being carbon. When carbon is used, its content in the steel is between 0.2% and 2.1% by weight, depending on the grade. Other alloying elements sometimes used are manganese, chromium, vanadium and tungsten. Carbon and other elements act as a hardening agent, preventing dislocations in the iron atom crystal lattice from sliding past one another.

Cloud seeding, a form of intentional weather modification, is the attempt to change the amount or type of precipitation that falls from clouds, by dispersing substances into the air that serve as cloud condensation or ice nuclei, which alter the rnicrophysical processes within the cloud. The usual intent is to increase precipitation (rain or snow), but hail and fog suppression are also widely practiced in airports. The most common chemicals used for cloud seeding include silver iodide and dry ice (solid carbon dioxide).

Dichlorodifluorornethane (R-12), is a colourless gas, and usually sold under the brand name Freon-12, is a chlorofluorocarbon halornethane (CFC), used as a refrigrant and aerosol spray propellant. Complying with the Montreal Protocol, its manufacture was banned in the United States along with many other countries in 1994 clue to concerns about damage to the ozone layer. It is soluble in many organic solvents.

All the elements have the same number of shells. Therefore, if an element is present in the 3rd period, it has 3 shells.

Clearly, if H faces the south direction, we need to make the circle move 180 degrees anti-clockwise and in such a case, B will also be moving 180 degrees anti-clockwise and in new arrangement B will be facing East direction.
Hence, option B is the correct answer.
Final arrangement:

Common Explanation:
References:
H sits third to the right of C who is not facing outside.
E sits second to the left of C who is not the immediate neighbor of B.
B is the immediate neighbor of E and both are facing same direction.
Inferences:
From 1st reference it is clear that C is facing inside and H will sit third to the right of C.
2nd and 3rd references mean that E will sit at a gap of 1 to the left of C and B will not sit with C.

References:
Immediate neighbor of H are facing same direction to each other but opposite direction with respect to H who is facing inside.
B is the immediate neighbor of E and both are facing same direction
B sits third to the left of A and both are facing opposite directions to each other
Inferences:
Immediate neighbor of H are facing same direction to each other but opposite direction with respect to H who is facing inside. It means both the neighbors will face outside.
B sits third to the left of A and both are facing opposite directions to each other. It means B faces inside and A faces outside. A
B is the immediate neighbor of E and both are facing same direction. Hence both E and B face inside.

References:
There are equal numbers of person facing inside and outside direction. Only three people sit between P and R.
H sits to the immediate right of D
F sits second to the left of G.
Inferences:
Hence immediate neighbors of C will face outside as only four people face inside.
H will sit on immediate right of D and C will be the neighbor of F and G.

Hence, we get the final arrangement.

Using the given information we can create a following figure:

Here the total number of persons in the queue = (*29 + 19 - 1)= 47
Note: 29 is derived by adding Ram's position from left end of the row (24) and his position with respect to Priya (5).
Hence, the correct answer is option C.

In the given code, Z = 1, Y = 2, X = 3,…………..,C = 24, B = 25, Z = 26.
So, GO = 20 + 12 = 32 and SHE = 8 + 19 + 22 = 49.
Similarly, SOME = S + O + M + E = 8 + 12 + 14 + 22 = 56.