Staff Selection Commission Sub Inspector Exam
Question : Directions: In the given figure, how many pages are either new or white but not both?
Option 1: 111
Option 2: 100
Option 3: 125
Option 4: 168
Correct Answer: 100
Solution : According to the question, in the below diagram, the shaded part shows the common region of pages that are either new or white but not both
In the Venn diagram, the number of pages that are new but not white is 43. Similarly, the number
Question : Who started the Tamil weekly magazine "Kudi Arasu"?
Option 1: C. Natesa Mudaliar
Option 2: Periyar E. V. Ramasamy
Option 3: T. M. Nair
Option 4: Chinnaswami Subramania Bharati
Correct Answer: Periyar E. V. Ramasamy
Solution : The correct answer is Periyar E. V. Ramasamy.
Periyar E. V. Ramasamy started the Tamil weekly magazine “Kudi Arasu or Kudiyarasu” in the Madras Presidency, present-day Tamil Nadu. It was started by Periyar E. V. Ramasamy in 1925. It was banned
Question : A number is increased by $x$% to get back to the original number. It is to be reduced by:
Option 1: $x$%
Option 2: $\frac{100x}{100+x}$%
Option 3: $\frac{10x}{100+x}$%
Option 4: $\frac{x}{100+x}$%
Correct Answer: $\frac{100x}{100+x}$%
Solution : Let the original number be = 100 It is increased by $x$%, Now, the new number = $(100 + x)$ It is to be reduced from $(100 + x)$ to 100. Thus, reduction = $(100 + x) - 100 = x$ So, the reduction percentage
Question : A person covers 28 km while walking at a speed of 8 km/hr. How much distance (in km) will he cover at the same time if he walks at a speed of 6 km/hr?
Option 1: 36
Option 2: 28
Option 3: 32
Option 4: 21
Correct Answer: 21
Solution : Distance = 28 km Speed = 8 km/hr Time taken = $\frac{28}{8}$ = $\frac{7}{2}$ = 3.5 hr Speed = 6 km/hr Distance covered = 3.5 × 6 = 21 km Hence, the correct answer is 21.
Question : A right-angled isosceles triangle is inscribed in a semi-circle of radius 7 cm. The area enclosed by the semi-circle but exterior to the triangle is:
Option 1: 14 cm2
Option 2: 28 cm2
Option 3: 44 cm2
Option 4: 68 cm2
Correct Answer: 28 cm2
Solution : Area of the semi-circle = $\frac{1}{2} \pi r^2$ = $\frac{1}{2}\times \frac{22}{7}\times 7^2$ = 77 cm2 The altitude of the isosceles triangle OC is $r$ = 7 cm. The base of the isosceles triangle AB is the diameter = $2 r$ = 14
Question : The mean proportional between 0.03 and 0.0003 is:
Option 1: 0.0003
Option 2: 0.0013
Option 3: 0.003
Option 4: 0.033
Correct Answer: 0.003
Solution : Let $x$ be the mean proportional value. a = 0.03, b = 0.0003 According to the question, $\frac{a}{x} =\frac{x}{b}$ ⇒ $\frac{0.03}{x} = \frac{x}{0.0003}$ ⇒ $x^2 = 0.03 \times 0.0003$ $\therefore x = 0.003$ Hence, the correct answer is 0.003.
Question : Which of the following is the inalienable attribute of the parliamentary system of government?
Option 1: The flexibility of the constitution
Option 2: Fusion of executive and legislature
Option 3: Judicial supremacy
Option 4: Parliamentary sovereignty
Correct Answer: Fusion of executive and legislature
Solution : The correct option is the Fusion of executive and legislature.
A parliamentary system is a form of democratic government in which the legislature (parliament) grants the executive branch its democratic legitimacy and holds it accountable. Thus, there is a connection
Question : Select the most appropriate meaning of the underlined idiom in the given sentence. I hate to get off on the wrong foot.
Option 1: To start something with positive factors
Option 2: To start something with neutral factors
Option 3: To start a relationship or activity badly
Option 4: To start something with an injury on the wrong foot
Correct Answer: To start a relationship or activity badly
Solution : The correct answer is the third option.
The idiom "get off on the wrong foot" means to start a relationship or activity in a manner that is unfavourable, awkward, or unfriendly. It implies a negative beginning that can potentially
Question : Direction: The pie chart given below shows the percentage distribution of annual expenditure on various items of a company. The annual expenditure of the company is Rs. 72 crore. What is the monthly expenditure on miscellaneous by the company?
Option 1: 14.4 crore
Option 2: 1.44 crore
Option 3: 1.21 crore
Option 4: 1.69 crore
Correct Answer: 1.44 crore
Solution : Annual expenditure = Rs. 72 crore Expenditure on miscellaneous = 24% of annual expenditure = $\frac{24}{100}×72$ = 17.28 crore So, the monthly expenditure = $\frac{17.28}{12} = 1.44$ crore Hence, the correct answer is 1.44 crore.
Question : Evaluate $\frac{\sin 54^{\circ}}{\cos 36^{\circ}}+\frac{\sec 46^{\circ}}{\operatorname{cosec} 44^{\circ}}$
Option 1: 0
Option 2: –1
Option 3: 2
Option 4: 1
Correct Answer: 2
Solution : Given: $\frac{\sin 54^{\circ}}{\cos 36^{\circ}}+\frac{\sec 46^{\circ}}{\operatorname{cosec} 44^{\circ}}$ = $\frac{\sin 54^{\circ}}{\cos (90^{\circ}-54^{\circ})}+\frac{\sec 46^{\circ}}{\operatorname{cosec} (90^{\circ}-46^{\circ})}$ = $\frac{\sin 54^{\circ}}{\sin 54^{\circ}}+\frac{\sec 46^{\circ}}{\sec 46^{\circ}}$ = $1 + 1$ = $2$ Hence, the correct answer is 2.
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