Indian Coast Guard Navik GD Mock Test - 5 - Indian Coast Guard Navik GD/DB MCQ

Simplify both sides of the equation as much as possible, and solve for x in the equation in terms of N:

3(4x−7)+12=2(5x−3)+N(x−3)
3⋅4x−3⋅7+12=2⋅5x−2⋅3+N⋅x−N⋅3
12x−21+12=10x−6+Nx−3N
12x−9=(10+N)x+(−6−3N)
12x−(10+N)x=(−6−3N)+9
(2−N)x=3−3N

 

x has exactly one solution unless the denominator is 0 - that is, N=2. We make sure that this value renders no solution by substituting:

3(4x−7)+12=2(5x−3)+N(x−3)
3(4x−7)+12=2(5x−3)+2(x−3)
12x−21+12=10x−6+2x−6
12x−9=12x−12
−9=−12

The equation has no solution, and N=2 is the correct answer.

I. 3x² – 21x + 36 = 0
3x² – 12x – 9x + 36 = 0

II. 5y² – 25y + 30 = 0
5y² – 10y – 15y + 30 = 0

Answer: x ≥ y
Hence, Option C is correct.

= log₁₀ 10^-5 = -5

Concept:
The nth term of an AP is given by: T_n = a + (n - 1) × d, where a = first term and d = common difference.

Calculation:
As we know that, the nth term of an AP is given by: T_n = a + (n - 1) × d, where a = first term and d = common difference.
Let a be the first term and d is the common difference.

By adding (1) and (2), we get

For this, calculate the sum of digits:
936: Sum of digits = 18 i.e. divisible by 3 and 9.
39987: Sum of digits = 36 i.e. divisible by 3 and 9.
2343: Sum of digits = 12 i.e. divisible by 3, but not by 9.
36: Sum of digits = 9 i.e. divisible by 3 and 9.

An hours + C hours = B hours … (I)
A, C and B can’t possess values greater than or equal to 24 B minutes + A minutes = C minutes … (ii)
From the above two equations, it is assumed that no value of A satisfies both the equations.
Hence, option 1 is the correct answer.

Speed of the boat in still water = 17 + 4 = 21 km/hr
Hence, Option C is correct.

Hence, Option C is correct.

Part filled in 1 hour = (1/6-1/8)= 1/24
So, the inlet can fill the tank in 24 hours.
Capacity of the tank= volume of water that flows in 24 hrs
= (4*60*24) ltr. = 5760 liters.

B runs 45/2 m in 6 sec.

= 80 sec.

Let B’s capital = Rs x
So, A’s one month equivalent capital = 3500*12 = 42000
And B’s one month equivalent capital = x*7 = 7 x
Therefore,  42000/7x = 2/3
=> x = 9000 (option ‘D’)

To expenditure = 100 × 8 = 800
Total revenue = 80% of 100 × 15 = 1200

Hence, Option D is correct.

Hence, Option A is correct.

Let AB be the tower and let C and D be the two's positions men.
At that point ∠ACB = 30°,∠ADB = 45°and AB = 50 m
AC/AB = Cot30° = √3 => AC/50 = √3
=> AC = 50√3m
AD/AB = cot 45° = 1 => AD/50 = 1
=> AD = 50M.
Separation between the two men = CD = (AC + AD)
= (50√3 + 50) m = 50(√3 + 1)
=50(1.73 + 1)m = (50 * 2.73)m = 136.5m.

First 13 whole numbers = 0 to 12
Total prime numbers = 5 (2, 3, 5, 7 and 11)

∵ In 2/3h, 1 article is made.
∴ In 1h, 3/2 article are made.
∴ In 7¹/2 = 15/2h, 3/2 x 15/2 = 45/4 article are made.
∴ Required articles = 45/4 = 11²/4

AB || CD and t transversal intersects them at E and F
∠BEF + ∠EFD = 180° (co-interior angles)

⇒ ∠FEG + ∠EFG = 90°
In Δ GEF
∠EGF + ∠FEG + ∠EFG = 180°
∴ ∠EGF + 90° = 180°
∴ ∠EGF = 90°.
The above result can be restated as :
If two parallel lines are cut by a traversal, then the bisectors of the interior angles on the same side of the traversal intersect each other at right angles.

From the given figure, we know that the sum of all the angles of a linear pair is always 180°. Here,  form a linear pair.

Hence, option B is the correct answer.

The blue whale holds the title for being the largest animal on Earth. It can reach lengths of up to 100 feet and weigh over 150 tons.

The contractile protein of a muscle is myosin. Myosin is a type of protein that is involved in the contraction of muscle fibers. It forms the thick filaments in muscle cells and plays a vital role in the sliding filament mechanism of muscle contraction. Myosin interacts with another protein called actin, which forms thin filaments, to generate the force required for muscle contraction. During muscle contraction, myosin heads bind to actin, undergo a series of conformational changes, and pull the actin filaments closer together, resulting in the shortening and contraction of the muscle fiber.

The most common component of plasma, other than water, is protein. Plasma is the liquid component of blood and contains a variety of substances, including proteins, electrolytes, hormones, waste products, and nutrients. Among these components, proteins make up a significant portion of plasma. These proteins include albumin, globulins, and fibrinogen, among others. They play essential roles in maintaining osmotic balance, transporting substances, regulating immune responses, and contributing to blood clotting. While oxygen, urea, and iron can be found in plasma, proteins are the most abundant and prevalent component, making them the correct answer.

Ventilation refers to the process of inhaling and exhaling, which helps in bringing fresh air into the lungs and removing stale air.

Oxytocin is the hormone that is released by the posterior pituitary gland. The posterior pituitary stores and releases two main hormones: oxytocin and vasopressin (also known as antidiuretic hormone, ADH). Oxytocin is responsible for various functions, including uterine contractions during childbirth and milk ejection during breastfeeding. It also plays a role in social bonding and affectionate behaviors. TSH (option B), ICSH (option C), and prolactin (option D) are hormones released by the anterior pituitary gland, which is a separate part of the pituitary gland with different functions.

• The large intestine plays important role in our digestive system; it can absorb most of the water from Indigested food. 
• The large intestine moves primarily in three different ways: peristalsis, mass peristalsis, and haustral churning.
• The substance travels through the colon’s ascending, transverse, descending, and sigmoid segments before entering the rectum.
• The waste is eliminated from the body through the rectum.
• The length of the large intestine is roughly five feet (or 1.5 meters).

Fontanelles are soft spots in a baby's skull that allow for brain growth during infancy and make the skull more flexible during birth.

Phylum Arthropoda and Mollusca are related and include an open circulatory system. Fish belong to the phylum Chordata which consists of a close circulatory system. Cockroaches and scorpions are part of the class Insecta phylum Arthropoda.

Ribozymes are RNA molecules that have enzymatic activity. Unlike traditional enzymes, which are usually composed of proteins, ribozymes are made of RNA and can catalyze specific chemical reactions within the cell. They are involved in various cellular processes and play critical roles in RNA splicing, RNA editing, and other important biochemical reactions. Ribozymes were first discovered in the 1980s and have since been a fascinating area of research in molecular biology.

Influenza, commonly known as the flu, is a viral disease caused by the influenza virus. It affects the respiratory system and can cause mild to severe illness. It spreads through respiratory droplets when an infected person coughs or sneezes. Vaccination is available to prevent influenza.