Staff Selection Commission Sub Inspector Exam
Question : Select the most appropriate idiom for the sentence given below.
The detective suspected Shyam because of his odd behaviour while investing in the scam.
Option 1: To hang fire
Option 2: To bite the dust
Option 3: A dog in the manger
Option 4: To smell a rat
Correct Answer: To smell a rat
Solution : The correct choice is the fourth option.
The expression, to smell a rat means to suspect that something is wrong or suspicious. In this context, the detective suspected Shyam due to his unusual behaviour, indicating that he believed something deceptive or
Question : A line touches a circle of radius 6 cm. Another line is drawn which is tangent to the circle. If the two lines are parallel, then the distance between them is:
Option 1: 8 cm
Option 2: 12 cm
Option 3: 10 cm
Option 4: 6 cm
Correct Answer: 12 cm
Solution :
Let MN and PQ be two parallel tangents and AO = OB = 6 cm So, AB = AO + OB = 6 + 6 = 12 cm Hence, the correct answer is 12 cm.
Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at PQ as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
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 PQ). So, the left side of the reflected image will appear
Question : If $\frac{\cos ^2 \theta}{\cot ^2 \theta–\cos ^2 \theta}=3$, where $0^{\circ}<\theta<90^{\circ}$ then the value of $\theta$ is:
Option 1: $45^{\circ}$
Option 2: $50^{\circ}$
Option 3: $60^{\circ}$
Option 4: $30^{\circ}$
Correct Answer: $60^{\circ}$
Solution : Given: The value of $\frac{\cos ^2 \theta}{\cot ^2 \theta–\cos ^2 \theta}=3$, where $0^{\circ}<\theta<90^{\circ}$. Use the trigonometric identity, $\sin^2 \theta+\cos^2 \theta=1$. $\frac{\cos ^2 \theta}{\cot ^2 \theta–\cos ^2 \theta}=3$ ⇒ $\cos ^2 \theta=3(\cot ^2 \theta–\cos ^2 \theta)$ ⇒ $\cos ^2 \theta=3(\frac{\cos ^2 \theta}{\sin^2 \theta}–\cos ^2 \theta)$ Dividing
Question : A, B and C started a business with their capitals in the ratio 4 : 2 : 9. At the end of every quarter, A halves his capital, whereas B doubles his capital and C leaves his capital unchanged. If at the end of a year, A's profit was Rs. 24,000, then what is the total profit?
Option 1: Rs. 2,30,400
Option 2: Rs. 2,25,600
Option 3: Rs. 2,16,000
Option 4: Rs. 2,35,200
Correct Answer: Rs. 2,35,200
Solution : The initial capitals of A, B, and C are in the ratio 4 : 2 : 9. Let their initial capitals as 4k, 2k, and 9k respectively. In a year, there are 4 quarters. At the end of every quarter, A halves his capital,
Question : Select the most appropriate meaning of the underlined idiom that can be substituted in the following sentence.
Right now, my hands are full.
Option 1: My hands are filled up
Option 2: My hands are swollen
Option 3: l'm very tired
Option 4: I'm very busy
Correct Answer: I'm very busy
Solution : The fourth option is correct.
When someone says my hands are full, it's an idiomatic expression used to convey that the person is occupied or busy with various tasks or responsibilities, to the extent that they have as much as they can
Question :
Study the given graph and answer the question that follows.
What is the ratio of the total expenditure in 2015 and 2016 to the total revenue of the company in 2016 and 2018?
Option 1: 6 : 7
Option 2: 19 : 20
Option 3: 4 : 5
Option 4: 11 : 20
Correct Answer: 4 : 5
Solution : According to the question Total expenditure in 2015 and 2016 = 210 + 350 = 560 Total revenue in 2016 and 2018 = 320 + 380 = 700 Required ratio = $\frac{560}{700}$ = $\frac{4}{5}$ = 4 : 5 Hence, the correct answer is
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.
Wherever you live, (P) / there is surely some countryside or coastline (Q) / not too far away that you are proud of. (R) / No Error (S)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The correct answer is the fourth option.
Since the sentence is grammatically accurate and doesn't need any change. The sentence conveys the idea that regardless of where one resides, there is likely some coastal or rural area nearby that one can take pride in.
Question : A shopkeeper has a sale of Rs. 5,445, Rs. 5,937, Rs. 5,865 and Rs. 6,562 for 4 consecutive days. If he gets an average sale of Rs. 6,050 for 5 days, then his sale on the fifth day is:
Option 1: Rs. 6,131
Option 2: Rs. 6,341
Option 3: Rs. 6,441
Option 4: Rs. 6,231
Correct Answer: Rs. 6,441
Solution : The total sale for 5 days can be calculated by multiplying the average sale by the number of days = Rs. 6,050 × 5 = Rs. 30,250 The total sale for the first 4 days = Rs. 5,445 + Rs. 5,937 + Rs. 5,865
Question : Directions: The histogram shows the marks obtained by 45 students of a class. Look at the histogram and answer the questions. How many students have obtained marks less than 10?
Option 1: 2
Option 2: 10
Option 3: 1
Correct Answer: 2
Solution : As per the given data in a histogram, the number of students who scored less than 10 marks is 2. Hence, the correct answer is 2.
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