Staff Selection Commission Sub Inspector Exam
Question : Directions: Anita starts from her house and cycles 6 km towards the south and then turns left and cycles 8 km. She again turns left and cycles for X km to reach her school. Point A is to the west of her school and also 3 km to the north of her house. What is the value of X?
Option 1: 9 km
Option 2: 3 km
Option 3: 7 km
Option 4: 11 km
Correct Answer: 9 km
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, B is the starting point (Anita's house) and E is the endpoint (Anita's school). AB = 3 km; BC = 6 km; CD = 8 km; DE = X km As,
Question : The greatest number by which 2300 and 3500 are divided, leaving the remainder of 32 and 56 respectively, is:
Option 1: 136
Option 2: 168
Option 3: 42
Option 4: 84
Correct Answer: 84
Solution : The numbers obtained by subtracting the remainders are 2300 – 32 = 2268 3500 – 56 = 3444 Now, 2268 = 2 × 2 × 3 × 3 × 3 × 3 × 7 3444 = 2 × 2 × 3 × 7 × 41
Question : Name the scheme launched by the Government of India in 2015–16 to ensure water security through per capita availability of water in the country.
Option 1: Jal Kranti Abhiyan
Option 2: Polavaram Project
Option 3: Atal Bhujal Yojana
Option 4: Namami Gange
Correct Answer: Jal Kranti Abhiyan
Solution : The correct answer is Jal Kranti Abhiyan.
Jal Kranti Abhiyan, initiated during 2015–16, aims to foster a nationwide water conservation movement through a comprehensive approach. Launched on June 5, 2015, the campaign involves all stakeholders, emphasising grassroots participation, including Panchayati Raj institutions.
Question : Which of the following mythological epics was re-written by Guru Gobind Singh?
Option 1: Buddha's Journey
Option 2: Mahabharata
Option 3: Ramayana
Option 4: Samrat Ashoka's Journey
Correct Answer: Ramayana
Solution : The correct option is Ramayana.
It was referred to as the "Govind Ramayana". Guru Gobind Singh did not treat Lord Rama as a god in this rendition of the Ramayana. He is also credited with finalising and establishing the Guru Granth Sahib as the supreme
Question : Solve the following equation. $\sec ^2 \theta\left(\sqrt{1-\sin ^2 \theta}\right)= $ __________.
Option 1: $\tan \theta$
Option 2: $\operatorname{cosec \theta}$
Option 3: $\sec \theta$
Option 4: $1$
Correct Answer: $\sec \theta$
Solution : The given equation is: We know that $\cos^2 \theta = 1-\sin^2 \theta $. $\sec ^2 \theta\left(\sqrt{1-\sin ^2 \theta}\right)$ $=\sec ^2 \theta\left(\sqrt{\cos^2 \theta}\right)$ $=\sec ^2 \theta\cos \theta$ $=\sec \theta $ Hence, the correct answer is $\sec \theta $.
Question : In the following table year year-wise ratio of the number of taxable and non-taxable products produced by a company has been shown. The total production of the company increases by 10% every year.
Find the ratio of taxable products produced in the years 2011 and 2012 and non-taxable products produced in the years 2011 and 2012.
Option 1: 3 : 2
Option 2: 62 : 43
Option 3: 43 : 62
Option 4: 2 : 3
Correct Answer: 62 : 43
Solution : Given: The total production of the company increases by 10% every year. Let the total product in 2011 = 100 So, the total product in 2012 = 110 Given: Ratio in 2011 for taxable and non-taxable = 4 : 1 = 80 :
Question : Two bodies kept at a certain distance feel a great gravitational force F to each other. If the distance between them is double the former distance, the force will be:
Option 1: 2F
Option 2: 1/2 F
Option 3: 4F
Option 4: 1/4 F
Correct Answer: 1/4 F
Solution : The correct option is 1/4 F.
When two bodies are twice as far apart, the gravitational force that attracts them is reduced to one-fourth of its initial amount. This is because the gravitational pull between two bodies is inversely proportional to their squared
Question : The LCM of 165, 176, 385 and 495 is k. When k is divided by the HCF of the numbers, the quotient is p. What is the value of p?
Option 1: 2520
Option 2: 5040
Option 3: 6720
Option 4: 3360
Correct Answer: 5040
Solution : LCM of 165, 176, 385 and 495 = 55440 Thus, k = 55440 HCF of 165, 176, 385 and 495 = 11 $\therefore$ p = $\frac{55440}{11}$ = 5040 Hence, the correct answer is 5040.
Question : Directions: Which number will replace the question mark (?) to complete the given series? 35, 36, 39, 48, ?
Option 1: 78
Option 2: 70
Option 3: 75
Option 4: 72
Correct Answer: 75
Solution : Given: 35, 36, 39, 48, ?
Follow the pattern to obtain the next term –
So, 75 is the required missing term in the series. Hence, the third option is correct.
Question : Which of the following is not an example of small savings?
Option 1: Mutual Funds
Option 2: National Savings Certificates
Option 3: Kisan Vikas Patras
Option 4: Post Office Deposits
Correct Answer: Mutual Funds
Solution : The correct answer is Mutual Funds.
Mutual Funds are not an example of small savings. Small savings refer to traditional savings instruments offered by government-backed financial institutions and schemes. Examples of small savings include National Savings Certificates, Kisan Vikas Patras and Post Office Deposits.
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