Indian Coast Guard Navik GD Mock Test - 6 - Indian Coast Guard Navik GD/DB MCQ

I. x – √196 = 0
x = 14

II. y² – 196 = 0
y = ±14
Answer: x ≥ y
Hence, Option C is correct.

∵ 2log₄x = 1 + log₄(x-1)
⇒ log₄x² = log₄4 + log₄(x-1)
⇒ x² = 4(x-1)
⇒ x² - 4x + 4 = 0
⇒ (x-2)² = 0
∴ x = 2 

4’s multiples are:
12, 16, 20, 24, …
a = 12 and d = 4
2 is the remainder for 250 / 4.
250 – 2 = 248 which is divisible by 2.
12, 16…248
nth term, a(n) = 248
a(n) = a + (n − 1) x d
248 = 12 + (n-1) × 4
236 / 4 = n - 1
59 = n - 1
n = 60

Cost of x meters ropes = Rs. d
∴ Cost of 1 meters ropes = Rs. d /x
∴ Cost of y meters ropes = Rs. dy/x

Since ∠1 = ∠2

But BD = CD (given)

AB = AC
∴ the given ∆ is isosceles

1 hour 20 minutes = 80 minutes
Upstream time : Downstream time = 80 : 48 = 5 : 3
Upstrem speed : Downstream speed = 3 : 5
Hence, Option D is correct.

Time taken to cover the length of the train = 20 seconds
Time taken to cover the length of the train + bridge = 30
Length → Train : Bridge = 20 : (30 – 20) = 2 : 1

Hence, Option C is correct.

Let x be number of pumps
9 : 6 : : 12 : x = 12 : 15 : : 12 : x
9 × 12 × x = 6 × 12 × 15

A : B = 100 : 90.
A : C = 100 : 72.

When B runs 90 m, C runs 72 m.

When B runs 100 m, C runs 
∴ B can give C 20 m.

Let C subscribes = Rs x
Then, B subscribes = x + 5000
and A subscribes = x + 5000 + 4000 = x + 9000.
Hence, x + (x + 5000) + (x + 9000) = 50000
=> x = 12000
Therefore ratio of their investments i.e. A : B : C = (12000 + 9000) : (12000 + 5000) : 12000 = 21000 : 17000 : 12000 = 21 : 17 : 12.
Thus A’s share in the profit = 35000 x 21/50 = Rs 14,700 (option ‘D’)

Hence, Option D is correct.

There should be 123 in place of 121.
Hence, Option D is correct. 

Let AB be the tower and C and D be the positions of the boat.
Distance travelled by boat = CD
From the figure 75tan(60) = (75 + CD)tan(45)
=> 75√3 = 75 + CD
=> CD = 55 m
Speed = distance/time = 55/10
= 5.5 m/sec = 19.8 kmph

Total digits = 5
A 3-digit number is to be formed
So the answer = 5 × 5 × 5 = 125

Given in the question,
Price of 6 toys is Rs. 264.37.
∴ Price of 1 toys is Rs. 264.37/ 6 .
∴ Price of 5 toys is Rs. 264.37 x 5 / 6 .
∴ Price of 5 toys is Rs. 44 x 5 .
∴ Price of 5 toys is Rs. 220.

Complement of 30°20′ = 90° – ( 30°20′ ) = 90° – ( 30° + 20′ )
= (89° – 30°) + (1° – 20′)
= 59° + 60′ – 20′ [ ∴ 1° = 60°′]
= 59° + 40′ = 59°40′.

Since the two points A and B are on circle O, the distance between OA and OB will be equal.
Therefore, using the distance formula we get

Squaring both sides,
(x−2)² + 4 = 4 therefore x = 2
Hence, x = 2 is the correct answer.

The volume of cube = side3
So the answer = 16 × 16 × 16 = 4,096 m³
Hence, Option D is correct.

Max Born contributed to the development of quantum mechanics and discovered the principle of superposition. The principle states that a quantum system can exist in multiple states simultaneously until observed or measured.

The SI unit of power is the watt. It is defined as one joule of energy transferred per second. It is commonly used to measure the rate of energy transfer or conversion.

Cubic centimeters and milliliters are equivalent units. There is a one-to-one conversion between them.

The chemical formula for water is (a) H₂O. The chemical formula represents the composition of a compound, indicating the types and number of atoms present. H₂O signifies that water consists of two hydrogen atoms bonded to one oxygen atom.

According to Goldstein's experiment, which was conducted in the late 19th century, the discovery made was actually related to the existence of positively charged particles in a gas discharge tube. Wilhelm Wien later named these particles "protons."

There are 18 groups, or vertical columns, in the periodic table.

Copper is a metal and metals do not form covalent bonds. They form metallic bonds which involve the sharing of free electrons among a lattice of positively charged ions. On the other hand, Ice, Diamond, and Graphite are all made up of non-metals, and non-metals form covalent bonds by sharing electrons. Therefore, the solid that does not contain a covalent bond is Copper.

Rusting of iron is an example of oxidation as iron loses electrons to form iron oxide (rust).

Acid: The compound that produces hydrogen ion when it dissolved in the solution is called acid.

• The acidic property depends on the concentration of the Hydrogen ion in the solution.

• H+ ion cannot exist alone. It always conjugates with the water and forms hydronium ion(H3O+)

The identification of the acidic or basic nature of any salt solution by the reactions:

• Strong acid + strong base → water + neutral salt
• Weak acid + strong base → water + basic salt
• Strong acid + weak base → water + acidic salt
• Weak acid + weak base → water + salt (It may be a neutral, acidic, or basic depending on the reactants used in the reaction)

EXPLANATION:

• KNO₃ is completely ionized in the water that gives the Nitric acid which is a strong acid. So KNO3 can be used for identifying an acid solution. Hence option 2 is correct.
• The K⁺ is an unreactive ion because it is produced from the dissolution of the strong base (KOH). So K2SO4 can't be used to identify the acidic solution.
• NaCl is a neutral solution that's why we can't use it also.
• Since Na2CO3 is formed by a weak acid Carbonic acid (H2CO3). That's why it can't be used also.

The unit of electric charge used in electrolysis is the coulomb (C). It represents a quantity of charge equal to the flow of one ampere of current for one second.