Indian Coast Guard Navik GD Mock Test - 10 - Indian Coast Guard Navik GD/DB MCQ

Initial alloy : Added gold = 20% : 5% = 4 : 1

Hence, Option A is correct.

∴  27x³ – 54x² + 36x – 11
= (3x)³ – 3 × (3x)² × 2 + 3 × 3x
(2)² – (2)³ – 3
= (3x – 2)³ – 3
[∵  (a – b)³ = a³ – 3a² b + 3ab² – b³]

Let the number be x.
According to question,
x - 20 = 7x/12
⇒ x - 7x/12 = 20
⇒ (12x - 7x)/12 = 20
⇒ 5x/12 = 20
⇒ x = 20 x 12/5
⇒ x = 4 x 12
⇒ x = 48
Sum of the digits of 48 = 4 + 8 = 12

I. x² – 31x + 228 = 0
x² – 12x – 19x + 228 = 0
x = 12 and 19

II. y² – 19y + 84 = 0
y² – 12y – 7y + 84 = 0
y = 12 and 7
Answer: x ≥ y
Hence, Option C is correct.

= log75/16 - 2 log5/9 + log32/343
= log [(25 x 3) / (4 x 4)] - log (25/81) + log [(16 x 2) / (81 x 3)]
= log(25 x 3) - log ( 4 x 4 ) - log(25) + log81 + log(16 x 2) -log (81 x 3)
= log 25 + log 3 - log 16 - log 25 + log 81 + log 16 + log 2 - log 81 - log 3
= log 2 

Concept:

Let us consider sequence a₁, a₂, a₃ …. an is an A.P.

• Common difference “d”= a₂ – a₁ = a₃ – a₂ = …. = an – an – 1
• nth term of the A.P. is given by a_n = a + (n – 1) d
• Sum of the first n terms =

Where, a = First term, d = Common difference, n = number of terms, a_n = n^th term and l = Last term

Calculation:
Here 1st term = a = 102 (Which is the 1st term greater than 100 that is divisible by 6.) 
The last term less than 400, Which is divisible by 6 is 396. 
Terms in the AP; 102, 108, 114 … 396
Now
First term = a = 102
Common difference = d = 108 - 102 = 6
n^th term = 396
As we know, n^th term of AP = a_n = a + (n – 1) d
⇒ 396 = 102 + (n - 1) × 6
⇒ 294 = (n - 1) × 6
⇒ (n - 1) = 49
∴ n = 50
Now,

Speed → Old : New = 100 : 25 = 4 : 1
Time → Old : New = 1 : 4

Hence, Option D is correct.

Let the capacity of the tank = x gallons
Quantity of the water filled in the tank in 1 min when all the pipes A, B and C are opened simultaneously= x/20 + x/24 - 3
According to question,
x/20 + x/24 - 3 = x/15
or, x/20 + x/24 - x/15 = 3
or, (6x + 5x  - 8x)/120 = 3
or, 3x/120 = 3
or, x = 120 gallons

Time taken by A to run 100m = (60*60/6000*100) sec. = 60 sec.
B covers (100-4) m in (60 +12) sec.
∴ B's speed = 96/72m/sec. = (96/72*18/5) km/hr = 4.8 km/hr

Their one month equivalent use of the pasture 
A = 10*7 = 70 months
B = 12*5 = 60 months
C = 15*3 = 45 months
Hence their expenditure sharing ratio = 70 : 60 : 45 = 14 : 12 : 9
Therefore C’s share of the rent = 175*(9/35) = Rs 45 (option ‘A’)

20% of CP = 400 + 100
CP = 2500
So the answer = 2500 + 100 = Rs. 2600
Hence, Option D is correct.

Hence, Option C is correct.

From ∠APB = 60° and AB = 180 m.
AB/AP = tan 60° =√3
AP = AB/√3 = 180/√3 = 60√3

15 wickets= 330 runs 1 wickets

Total balls = 4 + 10 + 6 = 20
Red balls + white balls = 4 + 6 = 10

According to given question,
Price of 23 toys = Rs. 276.

∴ Price of 12 toys = 12 x 12 = 144

We know that in a triangle, if three altitudes are equal, then the triangle is called equilateral.

Hence, Option D is correct.

Hence, Option B is correct.

Hence, Option A is correct.

Methane: Methane (CH4) is a major greenhouse gas released during agricultural activities, particularly from livestock farming. Methane is produced during the digestive process of ruminant animals, such as cows and sheep. It is also released from rice cultivation, manure management systems, and the decay of organic matter in agricultural soils.

Spiral symmetry is not a type of symmetry found in animals. The three common types of symmetry observed in animals are bilateral symmetry (divisible into two equal halves), radial symmetry (multiple planes of symmetry around a central axis), and asymmetry (lack of any defined symmetry).

Camel hump is made from fatty adipose tissue. Adipose tissue is body fat, which is a type of loose connective tissue composed of adipocytes.

The percentage of body weight that is blood varies depending on factors such as age, sex, and overall health. On average, blood makes up about 7-8% of a person's total body weight. So the correct answer would be option d) 8%.

Thyroid hormones (T3 - triiodothyronine and T4 - thyroxine) are fat-soluble hormones. They are produced by the thyroid gland and play a vital role in regulating metabolism and overall body growth and development. Being fat-soluble means they can easily pass through cell membranes and bind to intracellular receptors, allowing them to have widespread effects on various tissues and organs throughout the body. In contrast, amine and peptide hormones are typically water-soluble, and protein hormones are a subclass of peptide hormones, so they are also water-soluble.

Elastic connective tissue is not a component of the peripheral nervous system (PNS). The PNS consists of the nerves and ganglia outside the brain and spinal cord. It includes cranial nerves (which emerge from the brain), spinal nerves (which emerge from the spinal cord), and ganglia (clusters of cell bodies of neurons). Elastic connective tissue, on the other hand, is a type of connective tissue that provides elasticity and support to various organs and structures in the body, but it is not directly involved in the functioning of the nervous system.

The nervous system consists of the brain, spinal cord, and nerves. These components work together to process and transmit information throughout the body, allowing for the coordination of various bodily functions and responses.

The brain is the central control center of the nervous system. It receives, interprets, and processes sensory information, initiates voluntary movements, and regulates numerous physiological processes.

The spinal cord is a long, cylindrical bundle of nerves that extends from the brain down the vertebral column. It serves as a communication pathway between the brain and the rest of the body. The spinal cord relays signals between the brain and peripheral nerves, and it also carries out reflex actions independently of the brain.

Nerves are bundles of specialized cells called neurons that transmit electrical signals throughout the body. They connect the central nervous system to various organs, muscles, and sensory receptors, allowing for the transmission of sensory information to the brain and the initiation of motor responses.

Together, the brain, spinal cord, and nerves form the complex network of the nervous system, enabling the body to interact with its environment and regulate its internal functions.

Hormones do not directly play a significant role in maintaining body temperature. Instead, temperature regulation is primarily controlled by the hypothalamus in the brain, which monitors the body's temperature and initiates responses such as sweating or shivering to regulate it. Hormones are involved in various other functions, including reproduction and sexual differentiation (A), maintenance of the internal environment (B), and development and growth (D).

The bones of the fingers and toes are classified as short bones due to their small size and cube-like shape.

Iron is a critical component of hemoglobin, the protein in red blood cells that carries oxygen throughout the body.
Anemia occurs when the body doesn't have enough red blood cells or hemoglobin to transport oxygen effectively, which can result in fatigue, weakness, and other symptoms. Beetroot juice and spinach can be helpful in treating anemia as they are both good sources of iron, which is an essential nutrient for the production of red blood cells.
Hence, the correct answer is Beetroot juice and Spinach.