Staff Selection Commission Sub Inspector Exam
Question : A boat goes 12 km downstream and comes back to the starting point in 3 hours. If the speed of the current is 3 km/h, then the speed (in km/h) of the boat in still water is:
Option 1: 12
Option 2: 9
Option 3: 8
Option 4: 6
Correct Answer: 9
Solution : Speed of the current, y = 3 km/h Let the speed of the boat in still water be $x$ km/h. According to the question, $\frac{12}{x+3}+\frac{12}{x-3} =3$ ⇒ $12(\frac{x-3+x+3}{(x+3)(x-3)})$ = 3 ⇒ $4\times 2x = x^2 - 9$ ⇒ $x^2 -8x-9 = 0$ ⇒ $x^2-9x+x-9 =
Question : Aluminium salt commonly used to stop bleeding is:
Option 1: Aluminium nitrate
Option 2: Aluminium sulphate
Option 3: Aluminium chloride
Option 4: Potash alum
Correct Answer: Potash alum
Solution : The correct option is Potash alum.
It is also known as Aluminium Potassium Sulphate.
Chemical formula- KAI(SO4)2.
Uses:
Question : If $x^2+8 y^2+12 y-4 x y+9=0$, then the value of $(7 x+8 y)$ is:
Option 1: –33
Option 3: 33
Option 4: –9
Solution : Given: $x^2+ 8y^2- 12y - 4xy + 9 = 0$ ⇒ $x^2+ 4y^2+ 4y^2- 12y - 4xy + 9 = 0$ ⇒ $(x^2+ 4y^2- 4xy) + (4y^2- 12y + 9) = 0$ ⇒ $(x - 2y)^2+ (2y - 3)^2= 0$ If the sum of squares
Question : Directions: A piece of paper is folded and cut as shown in the following figures. How would this paper look when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the third option is correct.
Question : A policeman sees a thief at a distance of 150 m. He starts chasing the thief who is running at a speed of 5 m/sec, while the policeman chases with a speed of 7 m/sec. Find the distance covered by the thief when he is caught by the policeman.
Option 1: 285 m
Option 2: 325 m
Option 3: 375 m
Option 4: 295 m
Correct Answer: 375 m
Solution : Given: The speed of the thief is = 5 m/sec Speed of the policemen = 7 m/sec The policeman sees the thief at a distance of 150 m. Let the time taken by the policeman to catch the thief be $x$ seconds. According to
Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at MN as shown below.
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on Line MN). So, the left side of the reflected image will appear
Question : The rate of interest per annum at which the total simple interest of a certain capital for 1 year is equal to the total simple interest of the same capital at the rate of 5% per annum for 2 years, is:
Option 1: $\frac{5}{2}$%
Option 2: $10$%
Option 3: $25$%
Option 4: $12.5$%
Correct Answer: $10$%
Solution : Given: R = R% in the first case and 5% in the second case. T = 1 year for the first case and 2 years for the second case. Let P be the capital, which is equal in both cases. We know that, Simple Interest
Question : Fatwa-i-Alamgiri, a digest of Muslim laws, was written during the period of which of the following kings?
Option 1: Nadir Shah
Option 2: Aurangzeb
Option 3: Tipu Sultan
Option 4: Firuz Shah Tughlaq
Correct Answer: Aurangzeb
Solution : The correct option is Aurangzeb.
The Fatwa-i-Alamgiri, also known as the Fatawa-e-Alamgiri or Al-Hindiyya, is a compilation of Islamic law (fiqh) that was completed in 17th-century India. It was written during the period of the Mughal Emperor Aurangzeb. The compilation was initiated by the emperor
Question : In normal cells, the process of the flow of genetic information from DNA to RNA is called:
Option 1: Translation
Option 2: Transportation
Option 3: Transcription
Option 4: Translocation
Correct Answer: Transcription
Solution : The correct option is Transcription.
In normal cells, the process of the flow of genetic information from DNA to RNA is called transcription. Transcription is the first step in gene expression, during which a specific segment of DNA is used as a template to synthesise
Question : Directions: Two different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the one showing 4.
Option 1: 5
Option 2: 1
Option 3: 3
Correct Answer: 3
Solution : According to the dice rule if two or three positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other.
Therefore, the opposite
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