Indian Coast Guard Navik GD Mock Test - 4 - Indian Coast Guard Navik GD/DB MCQ

= log₄₉16807 - log₉27
= log₇² 7⁵ - log₃² 3³
=(5/2)log₇7 - (3/2)log₃3
=5/2 - 3/2
= 1 

a = 10, d = 10
a(1) = a = 10
a(2) = a1 + d = 10 + 10 = 20
a(3) = a2 + d = 20 + 10 = 30
a(4) = a3 + d = 30 + 10 = 40

Resolve 136 into prime factors and make group of two of each prime factor

136 = 2 × 2 × 2 × 17

136 = (2 × 2) × 2 × 17

We find that 2 and 17 doesn't appear in group of two. So, 136 has to be multiplied with 34 to make it a perfect square.

Total letters = 10
W comes two times.
T comes two times.

According to given question,
Since an industrial loom weaves 0.128 meters of cloth in 1 seconds.
∴ an industrial loom weaves 1 meters of cloth in 1 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 1 x 25 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 25 / 0.128 seconds.
∴ an industrial loom weaves 25 meters of cloth in 195 seconds.

Combined length = 480 × (1 + 2)
Total time = 4 × 60 = 240 seconds

Hence, Option B is correct.

Let the third pipe empty the cistern in x minutes.
Part of cistern filled in 1 minute when all three pipes are opened simultaneously

According to the question,

Ratio of the speeds of A and B = 
Thus, in race of 5 m, A gains 2 m over B.
2 m are gained by A in a race of 5 m.
80 m will be gained by A in race of 
= 200 m.
∴ Winning post is 200 m away from the starting point.

Ratio of profits = Ratio of investments = 14000 : 18000 : 24000 = 7 : 9 : 12
Let the profit of A, B and C be Rs.7x, Rs.9x, Rs.12x respectively.
Total profit = 7x+9x+12x = Rs.28x
Given, 28x = 25480
Therefore, Profit of A and B together = Rs.7x+9x = Rs.16x

Total expenditure = 60 × 5 = Rs. 300
Total revenue = 300 + 90 = Rs. 390

Hence, Option D is correct.

There should be 247 in place of 243.
Hence, Option C is correct. 

=> (180 - h)/90 = Tan(45)
=> h = 90 m

The correct option is A.

As it does not follows the pattern in the other given options.

It is clear that the third alphabet in each word is the first in when rearranged.but not in case of A.

Total letters = 8
Total consonants = 5
Selecting two letters from 8

Selecting two consonants from 5

As we know that Quarter Kg = 250 Gram
According to question,
250 Gram of potato costs 60 paise.
∴ 1 Gram of potato costs 60 / 250 paise.
∴ 200 Gram of potato costs 60 x 200 / 250 paise.
∴ 200 Gram of potato costs 60 x 20 / 25 paise.
∴ 200 Gram of potato costs 60 x 4 / 5 paise.
∴ 200 Gram of potato costs 12 x 4 paise.
∴ 200 Gram of potato costs 48 paise.

Since DE || BC,

The slope is the measure of the rise (or change in the y-axis) over the run (or change in the x-axis).
Let slope of lines are m₁ and m₂ respectively

When lines are perpendicular, then m₁ × m₂ = −1

k = 5

The side of the square must be the same as the breadth of the rectangle.
Side of the square = 4 meters
So the answer = 4 × 4 = 16 m²
Hence, Option D is correct.

CP → Sold at 24% profit : Sold at 20% profit = 3% : 1% = 3 : 1

Hence, Option D is correct.

James Prescott Joule discovered the law of conservation of energy, also known as the first law of thermodynamics. This law states that energy cannot be created or destroyed; it can only be converted from one form to another.

The SI unit of frequency is the hertz. It is defined as one cycle per second. It is commonly used to measure the frequency of periodic phenomena such as vibrations, oscillations, and electromagnetic waves.

To convert from Celsius to Fahrenheit, you multiply by 1.8 and add 32 since the relationship between the two scales is given by the formula F = (C * 1.8) + 32.

The pH value of a neutral substance is (a) 7. The pH scale measures the acidity or alkalinity of a substance. A pH of 7 indicates a neutral substance, meaning it is neither acidic nor alkaline.

Thomson's model of the atom, also known as the plum pudding model or Christmas pudding model, was proposed by J.J. Thomson in 1904. According to this model, the atom is composed of a positively charged "pudding" or sphere, with negatively charged electrons embedded within it like "plums" in a Christmas pudding. This model was later disproven by Rutherford's gold foil experiment, which led to the development of the modern atomic model known as the Rutherford model

The halogens are located in Group 17 of the periodic table.

Ionization energy is the energy required to remove an electron from a gaseous atom or ion. As we move from left to right in a period, the number of protons in the nucleus increases, which leads to a stronger pull on the electrons. Therefore, more energy is required to remove an electron from an atom, which means the ionization energy increases. Furthermore, the atomic radius decreases across a period, which means the electrons are closer to the nucleus and more tightly bound to it, further increasing the ionization energy. Hence, the ionization energy generally increases from left to right in a period.

Reduction is the gain of electrons during a chemical reaction.

The correct answer is Methanoic acid.

• The acid present in an ant sting is Formic acid.
• Formic acid (systematically called methanoic acid) is the simplest carboxylic acid.
• Molecular formula: HCOOH
• It is quite fatal for those ants as after stinging, their stinger is lost and they forcibly release formic acid from their poison gland.

Important Points

• Oxalic acid is an organic compound found in many plants. These include leafy greens, vegetables, fruits, cocoa, nuts, and seeds
• Lactic acid is a natural organic acid, found in milk and other food products such as meat and beer.
  • It is used in the food industry as a preservative, flavor enhancer, and acid adjustment.
• Citric acid is found naturally in citrus fruits, like lemons and limes.
  • It gives them their tart, sour taste.

Boyle's law can be used to determine the molar mass of an unknown gas by comparing the volume changes at constant temperature.