Staff Selection Commission Sub Inspector Exam
Question : You are preparing a speech for the upcoming function. Select a synonym for the highlighted word to make it better.
The education system must evolve to keep pace with the rapid changes in the job market.
Option 1: Emanate
Option 2: Censor
Option 3: Demolish
Option 4: Conceal
Correct Answer: Emanate
Solution : The first option is the correct answer.
"Evolve" implies gradual development or change over time, especially in response to new circumstances or challenges. Similarly, "emanate" suggests a process of emerging or originating from a source, aligning well with the idea of the education system adapting
Question : Development that meets the needs of the present, without compromising the ability of future generations to meet their own needs was the focal point of Brundtland Commission is
Option 1: sustainable development
Option 2: mitigation
Option 3: disaster management
Option 4: capacity building
Correct Answer: sustainable development
Solution : The correct option is sustainable development.
The term is defined by the Brundtland Report, submitted in the year 1987. The name of the committee was given by the name of Gro Harlem Brundtland, who was also the first head of the committee.
Question : The length of each side of an equilateral triangle is $14 \sqrt{3}$ cm. The area of the incircle (in cm2), is:
Option 1: 450
Option 2: 308
Option 3: 154
Option 4: 77
Correct Answer: 154
Solution : Given that the length of each side of an equilateral triangle is $14 \sqrt{3}\ cm$ BD = DC = $7\sqrt3$ cm By Pythagoras theorem, $AD=\sqrt{AB^2-BD^2}$ $= \sqrt{(14\sqrt3)^2-(7\sqrt3)^2}$ = 21 cm Since the radius of the incircle is one-third of the height of the equilateral triangle,
Question : The students of a class donated a sum of INR 2,809 to the Fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is:
Option 1: 49
Option 2: 53
Option 3: 51
Option 4: 47
Correct Answer: 53
Solution : Let the total number of students be $x$. Each student will donate = $x$ Total fund = donation of each student × total number of students ⇒ $2809 = x \times x$ ⇒ $2809 = x^2$ ⇒ $x = 53$ Hence, the correct answer is
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Malti had to wait long to see her son, Abhik. She had worked hard to (1)______ her husband’s last wish that Abhik should (2)______ his higher education at Cambridge. Abhik (3)______ to be meritorious and hardworking and had secured a seat. Making ends meet was (4)______ and a trip back home in the vacation, (5)______ for the mother and son.
Question: Select the most appropriate option to fill in blank no. 3.
Option 1: had proved
Option 2: is proving
Option 3: will prove
Option 4: prove
Correct Answer: had proved
Solution : The correct choice is the first option.
Explanation: "Had proved" is the appropriate choice to fill in the blank. Prove means to establish the existence of truth, and in this context, "had proved" helps convey that Abhik established
Question : If $\sec 3 {x}=\operatorname{cosec}\left(3 {x}-45^{\circ}\right)$, where $3x$ is an acute angle, then ${x}$ is equal to:
Option 1: $45^{\circ}$
Option 2: $22.5^{\circ}$
Option 3: $35^{\circ}$
Option 4: $27.5^{\circ}$
Correct Answer: $22.5^{\circ}$
Solution : Given that $\sec 3x = \operatorname{cosec}(3x - 45^\circ)$, $⇒\frac{1}{\cos 3x} = \frac{1}{\sin(3x - 45^\circ)}$ $⇒\cos 3x = \sin(3x - 45^\circ)$ We know that $\sin(90^\circ - \theta) = \cos \theta$. $⇒ 90^\circ -3x = 3x - 45^\circ$ Solving for $x$, we get: $⇒6x = 135^\circ$ $⇒x
Question : Direction: The following pie chart shows the expenditure of five companies P, Q, R, S, and T in the year 2016. Total expenditure = 48 crores By how much percentage is the expenditure of company Q and R together greater than that of company P?
Option 1: 33.33%
Option 2: 60%
Option 3: 66.67%
Option 4: 75%
Correct Answer: 66.67%
Solution : Percentage of expenditure of Q and R together = 22 + 18 = 40 Percentage of expenditure of P = 24 Required percentage increased = $\frac{40-24}{24}× 100$ = $\frac{16}{24} × 100$ = 66.67% Hence, the correct answer is 66.67%.
Question : Directions: A, B, C, D, and E are 5 schools facing north. A is in the middle of E and B. E is to the right of D. If C and D are at two ends, which school is on the left side of C?
Option 1: E
Option 2: A
Option 3: D
Option 4: B
Correct Answer: B
Solution : Given: (i) A is in the middle of E and B. E is to the right of D.
(ii) C and D are at two ends.
So, B is on the left of C. Hence,
Question : In a circle of radius 42 cm, an arc subtends an angle of 60° at the centre. Find the length of the arc. $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 44 cm
Option 2: 21 cm
Option 3: 22 cm
Option 4: 42 cm
Correct Answer: 44 cm
Solution : Given: Radius, $r$ = 42 cm Angle subtended = $60^\circ$ We know that, Length of the arc = $\frac{\theta}{360^\circ}\times 2\pi r$ = $\frac{60^\circ}{360^\circ}\times 2\times\frac{22}{7}\times42$ = $\frac{1}{6}\times 2\times\frac{22}{7}\times42$ = $44$ cm Hence, the correct answer is 44 cm.
Question : Which of the following can degrade detritus into simpler inorganic substances?
Option 1: Lichens
Option 2: Fungal enzymes
Option 3: Algae
Option 4: Phytoplankton
Correct Answer: Fungal enzymes
Solution : The correct option is Fungal enzymes.
Fungal enzymes are involved in the degradation of detritus. Fungi, particularly saprophytic fungi, play a key role in breaking down organic matter, including dead plant and animal material. These fungi secrete enzymes into their surroundings, which help
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