Staff Selection Commission Sub Inspector Exam
Question : Three numbers are in the ratio of 5 : 7 : 9 and their LCM is 34,650. Their HCF is:
Option 1: 315
Option 2: 55
Option 3: 110
Option 4: 99
Correct Answer: 110
Solution : Let the number be $5x,7x$ and $9x$. Given: LCM = 34650 LCM of $5x,7x$ and $9x$ = $315x$ Thus, $315x=34650$ ⇒ $x=\frac{34650}{315}= 110$ HCF of $5x,7x$ and $9x=x=110$ Hence, the correct answer is 110.
Question : The function of the retina is to:
Option 1: lubricate the eye by releasing tears in a controlled way
Option 2: adjust the focus of the lens for formation of a clear image
Option 3: process the information gathered by photoreceptor cells and send it to the brain to decide what the picture is
Option 4: close the eyes through the eyelids to prevent damage to the lens from excessive light
Correct Answer: process the information gathered by photoreceptor cells and send it to the brain to decide what the picture is
Solution : The correct option is to process the information gathered by photoreceptor cells and send it to the brain to decide what the picture is.
Photoreceptors, which
Question : The first shore-based integrated steel plant in the country is
Option 1: Vijaynagar
Option 2: Salem
Option 3: Visakhapatnam
Option 4: Bhadravati
Correct Answer: Visakhapatnam
Solution : The correct answer is Visakhapatnam.
Visakhapatnam Steel Plant also known as Vizag Steel Plant is the first shore-based, modern integrated steel plant in India. It is located in Andhra Pradesh. The first steel plant in India started in 1907 in Jamshedpur, Jharkhand. Jamshedji Tata and
Question : The area of a circle is the same as the area of a square. What is the ratio of the diameter of the circle and the diagonal of the square?
Option 1: $1:\sqrt{\pi }$
Option 2: $2:\sqrt{\pi }$
Option 3: $\sqrt{2}:\sqrt{\pi }$
Option 4: $1:{\pi }$
Correct Answer: $\sqrt{2}:\sqrt{\pi }$
Solution : Let the area of a circle $=\pi r^2$ where $r$ is the radius of the circle. The diameter of the circle is $2r$. Let the area of a square $=a^2$ where $a$ is the side length of the square. The diagonal ($d$) of the
Question : Directions: Select the number from among the given options that can replace the question mark(?) in the following series. 53, 69, 86, 104, 120, ?, 155
Option 1: 140
Option 2: 131
Option 3: 132
Option 4: 137
Correct Answer: 137
Solution : Given: 53, 69, 86, 104, 120, ?, 155
In the above-given series, add 16, 17, and 18 to the previous numbers to get the next numbers. 53 + 16 = 69; 69 + 17 = 86; 86 + 18 = 104; 104 + 16 =
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at line PQ as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer 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 PQ). So, the left side of the reflected image will appear
Question : Select the most appropriate meaning of the given idiom. Heart and soul.
Option 1: With complete honesty.
Option 2: Front to front.
Option 3: With all the effort you can put.
Option 4: Feeling sympathy for someone.
Correct Answer: With all the effort you can put.
Solution : The third option is correct.
When someone says they are putting their heart and soul into something, it means they are doing it with sincerity, dedication, and genuine effort.
The idiom conveys a sense of wholehearted involvement and commitment,
Question : Directions: Anushka starts from point L and walks 10 m towards the north. She then turns to her right and walks 5 m. Again she turns to her left and walks 10 m and then she takes one more left turn of 5 m up to point M. How far is she from her starting point?
Option 1: 5 m
Option 2: 20 m
Option 3: 25 m
Option 4: 30 m
Correct Answer: 20 m
Solution : Firstly, we will draw the diagram as per the given instructions –
From the above diagram, the distance between the starting and the endpoint is 20 m.
So, Anushka is at a distance of 20 m from the starting point. Hence, the second option
Question : Directions: The sequence of folding a piece of paper and how the folded paper has been cut is shown below. Choose the figure that would most closely resemble the unfolded form of the paper.
Solution : When the given folded paper is unfolded, it will look like –
Hence, the second option is correct.
Question : What is the simplified value of $(2+1)(2^{2}+1)(2^{4}+1)(2^{8}+1)$?
Option 1: $2^{8}-1$
Option 2: $2^{16}-1$
Option 3: $2^{32}-1$
Option 4: $2^{64}-1$
Correct Answer: $2^{16}-1$
Solution : Given: $(2+1)(2^{2}+1)(2^{4}+1)(2^{8}+1)$ Multiplying (2 – 1) = 1 in the equation, we get: $(2-1)(2+1)(2^{2}+1)(2^{4}+1)(2^{8}+1)$ = $(2^2-1)(2^{2}+1)(2^{4}+1)(2^{8}+1)$ = $(2^4-1)(2^{4}+1)(2^{8}+1)$ = $(2^8-1)(2^{8}+1)$ = $(2^{16}-1)$ Hence, the correct answer is $(2^{16}-1)$.
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