Staff Selection Commission Sub Inspector Exam
Question : Directions: From point D, Sarita walks 50 metres to the north, then, after turning to the right, walks 50 metres. She again turned right and walked another 70 metres, and finally turned right and walked 50 metres. In which direction and at what distance is she from the starting point D?
Option 1: 20 metres to the North
Option 2: 40 metres to the South
Option 3: 20 metres to the south
Option 4: 30 metres to the south
Correct Answer: 20 metres to the south
Solution : Firstly, we will draw the diagram as per the given instructions –
Now we have to find the distance and direction between Sarita's Initial and final point.
From the above diagram, D is the initial point and F is the final
Question : Directions: In the following question observe the series and figure out the pattern used to form it. What will be the next term of the series? 1, 3, 6, 10, 15, ?
Option 1: 32
Option 2: 21
Option 3: 42
Option 4: 34
Correct Answer: 21
Solution : Given: 1, 3, 6, 10, 15, ?
Add consecutive natural numbers from 2 onwards to find the next term of the series – 1 + 2 = 3; 3 + 3 = 6; 6 + 4 = 10; 10 + 5 = 15; 15 +
Question : What is the simplified value of $(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^{4}+1)(x^{2}+1)(x+1)?$
Option 1: $x^{256}-1$
Option 2: $\frac{x^{128}-1}{x-1}$
Option 3: $\frac{x^{64}-1}{x-1}$
Option 4: $\frac{x^{256}-1}{x-1}$
Correct Answer: $\frac{x^{256}-1}{x-1}$
Solution : Given: $(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^{4}+1)(x^{2}+1)(x+1)$ Multiplying $(x-1)$ in both numerator and denominator, $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^{4}+1)(x^{2}+1)(x+1)(x-1)}{(x-1)}$ Using identity: $(a^2-b^2)=(a-b)(a+b)$, = $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^{4}+1)(x^{2}+1)(x^2-1)}{(x-1)}$ = $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^{4}+1)(x^4-1)}{(x-1)}$ = $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{8}+1)(x^8-1)}{(x-1)}$ = $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{16}+1)(x^{16}-1)}{(x-1)}$ = $\frac{(x^{128}+1)(x^{32}+1)(x^{64}+1)(x^{32}-1)}{(x-1)}$ = $\frac{(x^{128}+1)(x^{64}+1)(x^{64}-1)}{(x-1)}$ = $\frac{(x^{128}+1)(x^{128}-1)}{(x-1)}$ = $\frac{(x^{256}-1)}{(x-1)}$ Hence, the correct answer is $\frac{(x^{256}-1)}{(x-1)}$.
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select "No Error" (S) as your answer.
(P) No country can long endure (Q) if its foundations (R) were not laid deep in material prosperity. (S) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct choice is the third option.
Explanation: The error is due to verb consistency, as "were laid" should be replaced with "are laid", as the sentence is in the simple present tense.
Therefore, the correct sentence would be: "No country can long
Question : Select the most appropriate ANTONYM for the underlined word in the following sentence.
This is really an attractive painting made by the novice artist.
Option 1: Mature
Option 2: Expert
Option 3: Stylish
Option 4: Apprentice
Correct Answer: Expert
Solution : The correct choice is the second option.
Explanation:
The underlined word novice refers to someone who is a beginner or has limited experience in a particular activity or field. The opposite of a novice is an expert, someone who has a high
Question : Directions: Study the following histogram and answer the questions. The ratio of the number of persons between the age group of 20-25 and 30-35 is:
Option 1: 1 : 3
Option 2: 2 : 1
Option 3: 5 : 2
Option 4: 6 : 1
Correct Answer: 5 : 2
Solution : Person in the class interval 20–25 = 250 Person in the class interval 30–35 = 100 Required ratio = 250 : 100 = 5 : 2 Hence, the correct answer is 5 : 2.
Question : Directions: Mayank started driving from his office to the hotel. He drove 10 km towards north. From there, he turned right and drove 8 km. Then, he turned right and drove 6 km. Again, he turned right and drove 5 km and reached his hotel. What is the shortest distance from the office to his hotel?
Option 1: 5 km
Option 2: 9 km
Option 3: 2 km
Option 4: 6 km
Correct Answer: 5 km
Here, A is the starting point and B is the endpoint. For the shortest distance (AB) between the starting point and the endpoint, use Pythagoras theorem, ⇒ (AC)2 + (BC)2
Question : Select the option that can be used as a one-word substitute for the given group of words. Happening repeatedly
Option 1: Recuperate
Option 2: Recurrent
Option 3: Rapport
Option 4: Regression
Correct Answer: Recurrent
Recurrent directly conveys the idea of something occurring repeatedly or happening again. It succinctly captures the essence of an event or phenomenon that takes place multiple times.
The meanings of the other options are as follows:
Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.
Option 1: HSP
Option 2: JQT
Option 3: FUR
Option 4: LOL
Correct Answer: JQT
Solution : Let's check each option – First option: HSP; H and S are opposite pairs; S – 3 = P Second option: JQT; J and Q are opposite pairs; Q + 3 = T Third option: FUR; F and U are opposite pairs; U – 3
Question : What is the full form of NNP?
Option 1: Normal Net Production
Option 2: Net National Product
Option 3: Normal National Produce
Option 4: Net Normal Produce
Correct Answer: Net National Product
Solution : The correct answer is Net National Product.
Net National Product is a measure of the overall income made by people of a nation, both at home and abroad. It is estimated as the sum of the country's GDP and net factor income
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
